diff --git "a/data/dm_maths/full_data/10990_11255.jsonl" "b/data/dm_maths/full_data/10990_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10990_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the ten millions digit of 52981482?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164905 is divided by 710.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/45*3\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.97 + 3.97. Sort m, 2\/15, 4.9 in ascending order.\nAnswer: 2\/15, m, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1600661931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**2*k*n - h**2*k + 2742826*h**2*n - h*k*n + 109*h*n - 11*h - 3*k*n - k + n - 3 wrt h?\nAnswer: -4*k*n - 2*k + 5485652*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - 5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/9))\/(m\/m**(8\/7))*(m**5*m)\/(m\/(m*((m**(-2)\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(121\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - ((-1 - 8) + 24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34\/7*a**2 + 2\/7*a**3 + 0 + 32\/7*a.\nAnswer: 2*a*(a + 1)*(a + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - i - 1. Let j(w) = w**3 - 5*w**2 - w - 6. Let z(s) = -3*b(s) + j(s). Calculate the remainder when 103 is divided by z(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18053690 + 2\nAnswer: -18053688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 o, 1 z, and 1 c when four letters picked without replacement from czocyocezc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -51000000 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-96)*48\/90*48?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1.223\nAnswer: 0.3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-3)*(-8 + 67240\/8408). Let d = 1043\/4204 - a. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41852 and -3485192.7.\nAnswer: -3443340.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/54 and 113\/53306328.\nAnswer: 479756952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(68)*2 - sqrt(68) - sqrt(68)) + 0 + 2*sqrt(68) + 0 + sqrt(68) + 2 + 4 + 0 + sqrt(68))**2.\nAnswer: 112*sqrt(17) + 1137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 23*p - 21. Let y be d(1). Suppose 3*i + 145 = y*v, -4*v - v = -2*i - 379. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2269 = -135*c - 9829 for c.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52, 40, 26, 10, -8?\n\"Answer: -p**2 - 9*p + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.54 - -0.11317\nAnswer: 1.65317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajajsajajjjjjjs. Give prob of sequence ss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 247*j**2 + 248*j**2 - 494*j**2. Let v(i) be the third derivative of 31*i**5\/30 + 2*i**2. What is v(o(z))?\nAnswer: 62*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = 0, 5*u = g + 6*u - 8. Let a = g + -6. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 445729900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348*l - 11*l - 139*l to the form r + s*l and give s.\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = 3*i. Let u be i - 7\/28 - (-769)\/4. What is the units digit of 3 + (-65)\/20 + u\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*l**5 + 2678*l**5 + 366*l**5 + (0*l**3 + 0*l**3 - 2*l**4)*(3*l + 0 + 0).\nAnswer: 3000*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) - sqrt(2450)*5) + sqrt(50) - sqrt(50))\/(sqrt(160) + -2*sqrt(160)))**2.\nAnswer: 1445\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.1088 to 1 decimal place.\nAnswer: -168.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 f, and 1 e when four letters picked without replacement from {d: 7, e: 2, f: 1, k: 3, w: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**6\/720 + g**5\/240 + g**4\/24 + 7*g**3\/3 - 7*g**2. Let t(b) be the first derivative of d(b). Suppose t(x) = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 41268 - 41268 - h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 + 13124\/425)\/(63\/280).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016478 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(15*13\/65 - 78\/27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 37*x**3 - 8*x**2 - 8*x - 8. Let k(n) = -12*n**3 + 3*n**2 + 3*n + 3. What is -8*k(p) - 3*y(p)?\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2052) - 3*sqrt(2052))*3)\/(-2*sqrt(18)\/(sqrt(30)\/sqrt(5))))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 60558.81 nanograms?\nAnswer: 0.00006055881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.692 + 19.692. What is the third biggest value in h, 0.48, 2\/37?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**4\/2 + 11*z**3\/3 - 5*z**2\/2 + 7*z - 21. Let k be f(-5). Let x = k + -37. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187318 is divided by 80.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*120\/(-45)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - -4. Let k(d) = d**3 - 4*d**2 + 2*d - 7. Let l(z) = -z + 13. Let i be l(8). What is the remainder when k(i) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/979 and 83\/1068?\nAnswer: 11748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3352 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382 = 3*u - 173. Suppose l - u = -a, -4*a - 3*l = -6*a + 355. What are the prime factors of a?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 737*i + 9. Let n(h) = -745*h - 11. Give 5*n(a) + 6*u(a).\nAnswer: 697*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -26*u**3 + 2*u**2 - u - 2. Let k(a) = -a. Let g(f) = 6*f + 1. Let d(h) = -g(h) - 5*k(h). Let y be d(0). What is the tens digit of i(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w. Let t(d) = 4*d - 1. Let y be t(1). Let b(k) = 4*k - y*k - 3*k. Give m(b(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*w**2 - 53*w**2 + w**5 - 27 + 42*w**2 + 9*w wrt w.\nAnswer: 20*w**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -e9d?\nAnswer: -e9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14067.92 + 0.2.\nAnswer: -14067.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*y + 6. Let j = y + 23. Is (18\/(-27))\/(j\/8754) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 24, -1690, 3, -16, 2 in descending order.\nAnswer: 24, 3, 2, -1, -16, -1690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 + 7 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30075 + -30070. Let z(u) = u**3 - 10*u**2 - 9. Let d(r) = r**3 - 11*r**2 - 10. Let h(a) = 6*d(a) - 7*z(a). Calculate h(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580772 is divided by 929.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 7. Let h be l(-11). Let f be ((-37)\/3)\/((-5)\/h). Let g = f - 17. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 40187 and 321507\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 + 25*t**2\/2 - 48*t - 18. Let j = -38 + 109. What is the remainder when j is divided by a(22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h - 2. Let z be (-60)\/(-18)*(-3)\/(-4)*-2. Let y(f) = 2*f**2 - 3*f - 5. Let s(i) = z*o(i) + 2*y(i). Determine s(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1052 + -0.1948. What is the third smallest value in 4, -0.9, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55463?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319975*k**2 + 319975*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l + 12*l**3 + 6*l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8814597?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -32 in decreasing order.\nAnswer: 5, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71, 114, 161, 212, 267, 326?\n\"Answer: 2*s**2 + 37*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17\/6 + 19\/6. What is the smallest value in 0.3, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -142 - -136. Let u be (-2)\/(g\/(-4) + -1). Let z = -4 - -2. Put u, 5, z in ascending order.\nAnswer: u, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - p + 182. Let w(k) = -4*k**2 + 4*k - 363. Determine 5*f(d) + 2*w(d).\nAnswer: 2*d**2 + 3*d + 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1) - (-4)\/((-8)\/4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7196 and (-33)\/22*(-14 - 132\/18)?\nAnswer: 57568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 9538883.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78264 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52751856 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from aasaavvgd.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -37419 times -0.183?\nAnswer: 6847.677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(175) + sqrt(175))*-3*4 + -2.\nAnswer: -120*sqrt(7) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/72 - (-121)\/(-44))*-1*33\/2332.\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 404.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2914184 tonnes to milligrams.\nAnswer: 291418400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2\/5 (c) -1.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5 + 21. Calculate the greatest common factor of 72 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352.84 plus 8134.31?\nAnswer: 7781.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/88, 2\/17, 0.1, -1 in descending order.\nAnswer: 2\/17, 0.1, 3\/88, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one-hundred-and-one halves of a day in minutes?\nAnswer: 72720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 - 25*k**3 + 8*k**3 + 6*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((160\/15)\/(-8)). Suppose -8*q = -3*q + 5. Let c(h) = 1. Let y(o) = o**2 - o. Determine q*y(v) + u*c(v).\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18*(-2)\/1*6. Suppose -3*i + 2*l = 5*l - a, -4*i - 3*l + 286 = 0. Calculate the greatest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1118)\/(-390) - 2\/(-15). Let j = -79 + 78. Which is the second smallest value? (a) 5 (b) -2\/3 (c) j (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187228769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 4535.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 26 + 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9664 or -9673?\nAnswer: -9673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2136 - 1062 = -114*r - 1032 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 6. Let s(i) = -20*i - 10. Let g be s(p). Round g to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 447295 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 7:26 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/72*-6*(3 + -2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118770 to the power of 1\/2, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:01 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174.9 + -175. Let j = -4 + 10\/3. What is the second biggest value in 12, -1\/2, j, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 404418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 8:59 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.61. Let r = -1.01 + z. Let h = -22.159 + 22.659. Which is the nearest to r? (a) 0 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 17 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1) + 0 + 28\/7. Factor 0*j - 2\/9*j**h - 2\/9*j**3 + 2\/9*j**5 + 2\/9*j**2 + 0.\nAnswer: 2*j**2*(j - 1)**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 3*r + 3. Let n be d(1). Let b be -2 - (n\/(-2) - 11\/2). Is b\/(-7) + 29854\/161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 4168*j + 4206*j + j**2 to l*j + g*j**2 + k and give l.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 486863 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 588115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 + 298. Suppose 0 = -5*y + 12 + 38. Let g = y + j. What is the remainder when 68 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/17, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-15)\/(-2))\/(-5))\/((-12)\/(-16)). Let m be (-5)\/f + (-1)\/2 + -1. Find the first derivative of 51*q + 0 - m - 59*q wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1994178*r**2 + 3988348*r**2 - 1994172*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1756.1 and 51794.\nAnswer: 53550.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/43612336 and -83\/14.\nAnswer: 305286352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 5\/2*q**2 + 0 + 1\/6*q**4 - 3\/2*q**3 + 5*q. What is the tens digit of o(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/22 - 0) + 1696\/(-8800)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22455 divided by 7485?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 19*f + 28 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -63155.\nAnswer: 3\/63155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1059, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -2\/149, -0.5, -0.32 in descending order.\nAnswer: 44, -2\/149, -0.32, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n**3 + 8*n**3 + 56*n**3.\nAnswer: 117*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 + 27 + 7*c**2 - 27.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2020 and -55\/6?\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-2)\/2)*(-10)\/(-70).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -0.5, -6, 20, 2\/3, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5611597 take away -0.2?\nAnswer: 5611597.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(475)*5*-4 + sqrt(475) + sqrt(475))**2.\nAnswer: -769500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, 4, 22, 48, 82, 124, 174?\n\"Answer: 4*k**2 - 2*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*l + 224 + 28 = 373*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133508735*a**2 - 54848909.\nAnswer: 267017470*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 7*m**3\/12 - 13*m**2\/4 - 2*m - 560. Factor s(c).\nAnswer: (c - 4)*(7*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9745 - -4153. Is 3\/(l\/(-621) + -9) a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.71532 litres to millilitres.\nAnswer: 85715.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822528545?\nAnswer: 5, 164505709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19)*-3 + -4))**2.\nAnswer: 216*sqrt(19) + 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12))\/((-8)\/(-48))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 divided by -32948?\nAnswer: -357\/16474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 3:20 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -10921715597?\nAnswer: -10921715596.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3114668 * -2\nAnswer: 6229336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2109 and 6?\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -293*w + 10259. Give g(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzi when three letters picked without replacement from {t: 2, z: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-117 - (0 + -15 - (-5 + -43 + 45)))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h**2 + 5*h. Let b(r) = 8*r**2 + 3*r. What is -5*b(w) + 3*o(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/4)\/(-1*(-1)\/96). Suppose 19*k - 21*k = p. Let f be (2\/(-30)*2)\/((-8)\/k). What is the second biggest value in 2\/11, -0.2, f, -1.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxexxeesesx. What is prob of picking 1 x and 1 e?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 13) in base 6?\nAnswer: -455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + 2*s)*(3*s**4 - 2*s**4 - 4*s**4) + (0*s**4 - 5*s**4 - 7*s**4)*(3 - 3 + s).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-2 + 15)) + 1054 + -1059.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(5\/1480*37).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1242303 (base 5) to base 8\nAnswer: 60177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)\/((-7)\/14). Let i be ((-7)\/(-14))\/(k\/(-12)). Suppose o + 2*d = 16, -6 - 42 = -3*o - i*d. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, -9, 4, 19 in ascending order.\nAnswer: -9, -2, 0, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228 + 225. Calculate the smallest common multiple of 5 - (25\/t)\/(7\/63) and 72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1219 and 13621?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 1. Let z(i) = -21*i**2 - 7*i + 20. Let u(x) = 25*x**2 + 7*x - 20. Let d(t) = -4*u(t) - 5*z(t). Let q(p) = d(p) + 6*y(p). Give q(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 39057479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42, -40, -38, -36?\n\"Answer: 2*a - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3619, -564, -2 in descending order.\nAnswer: -2, -564, -3619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 50 - 7)*(-2*z + 5 - 5) + 0*z + 6*z - 4*z to i + g*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/160 and -57\/416?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-5*a - a + 5*a - 4*a + 2*a + 0*a + (a - 2*a + 0*a)*(-2 + 4 - 3) + 1158 - 13*a - 1158).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sessssssssseses. What is prob of sequence ses?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 111\/(287490\/194176)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - (-10)\/(-25). Let f(h) = h**3 + h**2 + h + 4. Let l be f(n). Let s be ((-8)\/10)\/(6 - l). What is the nearest to s in -0.1, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 + -38. Suppose -2*f = l*b - 84, f - 2*b - 42 = 2*b. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 581152\/8128*(-1 + (-3)\/(-33))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116930 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. Let j(c) = c**3 - 3*c**2 + 1. Let k be j(3). Suppose 0 = -0*h + h - k. What is the remainder when p is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306396?\nAnswer: 2, 7, 13, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 114 = -0*a + 3*k, -5*a - k - 208 = 0. Let l(h) = h**3 + 9*h**2 - 6*h - 4. Let c be l(-7). Let w = a + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - y + 0*y)*(-11 + 5 - 4) to the form n*y + h and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-12)\/93)*2. Let n be ((-40)\/(-140))\/((-3)\/42*-2). Suppose d + n = s. Calculate the greatest common factor of 319 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-9*h + 11*h - 2*h**2 - 4*h - 2)*(h - 10458 + 10458 - 389*h**2) as n*h**3 + r + b*h**4 + x*h + z*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/464)\/(198\/16)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1\/44 (c) -5 (d) 4\/7 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbqbbbbbbqb. What is prob of sequence qbqb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11 - 2*k**3 + 5*k**2 - 6*k + 3*k**3 + 9. Calculate s(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 6 - 8*p**3 in the form r*p + y*p**3 + m + a*p**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*s - 45*s - 32 = 0. Let x be s\/20 + 754\/10. What is the highest common factor of x and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0 + 5\/6*x**3 - 11\/24*x**4 + 0*x + 19*x**2 + 1\/60*x**5. Let u be s(11). Solve -t + 5*i = u, 3*t + 5*i - 23 = i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173887429 - -3.8?\nAnswer: -173887425.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 343 + -342.9. Which is the nearest to 0.3? (a) 3 (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2 + 22, -4*w = 3*v - 20. Suppose 0 = -w*l - 2*p + 4*p - 8, 5*l - p = -4. What is the third smallest value in 1, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-2\/9))\/(i\/(i\/(i\/i**(2\/7)))*i*i*i*i))\/((i\/((i*i**(-4)\/i)\/i*i))\/(i*i**(-1\/3)))*(i*i**(-5)*i**(-3\/4)\/i)**43 assuming i is positive.\nAnswer: i**(-64139\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 1. Let u be b(2). Let c be 4\/(-6)*(u + 1). Suppose 50 = c*x - 38. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*m = m + 211, 15 = -5*m. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.17, 0.6, -0.1 in increasing order.\nAnswer: -0.17, -0.1, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 - 320*u - 648.\nAnswer: 2*(u - 162)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5) - 78\/(-3575)*-5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let x(t) be the second derivative of -19*t**5\/60 + t**3\/3 - 128*t**2 + 3*t. Let f(h) be the first derivative of x(h). Determine f(d(n)).\nAnswer: -76*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/14)\/3)\/((-85)\/204)*(-1795)\/718.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x + 471 = -145. What is the lowest common multiple of 190 and x?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:37 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12*(-8)\/6. Let l be (-6)\/(-24) + -1*74\/968. Let j = -1\/121 - l. Which is the nearest to 3? (a) j (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15778 divided by 161?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18\/13, 3\/4, -28, 34\/43?\nAnswer: 34\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -335 - -346. Suppose 69 + n = 16*v. Solve v*u = 3*i - 26, u + 11 = 2*i + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -11358?\nAnswer: -11354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/3 + 52*v**2\/3 + 176*v\/3 = 0 for v.\nAnswer: -22, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 - 294 = -136*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52 + 84b9a?\nAnswer: 84b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*q - q + 19, -13 = -3*q - m. Sort q, -30, -1 in descending order.\nAnswer: q, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/19 - 25958*z**4\/19 + 112363464*z**3\/19 - 162476721440*z**2\/19 + 1131840139136*z\/19 = 0. What is z?\nAnswer: 0, 7, 4324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -1\/6 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 611896*z**2 + 52 - 3*z + z - 611887*z**2 as i*z**2 + q*z + b and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:36 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -70.424 (c) 0.15 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, c: 3}. What is prob of picking 3 p?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.12, -1\/26, 0, -18, 2, -4 in ascending order.\nAnswer: -18, -4, -1\/26, 0, 2, 5.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 10*a**2 + 7*a - 4. Let b be j(9). Let r = 36 + b. Suppose 490 = -291*h + 296*h. Calculate the highest common divisor of r and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77761, -311585, -701289, -1246873, -1948337, -2805681?\nAnswer: -3818905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213471?\nAnswer: 3, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -61*c**2 + 156*c**2 - 60*c**2 - 65*c**2. Let n(s) = s + 10*s - 10*s. Calculate n(g(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*i - 2551 = -1807 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18493355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 31032624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + a + 16. Let i be z(0). Suppose 141 - 29 = 28*m. Solve 0*f - m*f = i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9974?\nAnswer: 2, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) -0.5 (b) -0.4 (c) 1\/11 (d) 378 (e) -3 (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (16 - (13 - -19))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 4*k - 5*k - 10 - 7*k. Let g be y(-4). Is (g + 6)*(-1)\/(-2) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 5, x: 1, b: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 77*w**2 + 196*w + 2549. What is y(80)?\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12*f + 248. Let c be (-1)\/((-2)\/(-1))*-10. Solve c*g - f = -4*w, -3*w - 2*w = 5*g - 35 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79708, 318743, 717120, 1274839, 1991900, 2868303, 3904048?\nAnswer: 5099135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0.2 (c) -3 (d) -14 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 - 3*v - 8. Let m be f(8). Let d be m\/(-130) - (-4)\/(-5). Is -1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 34*s**2 + 7*s + 7. Let x(u) = -7*u**3 - 68*u**2 - 13*u - 13. Determine 11*h(t) + 6*x(t).\nAnswer: -9*t**3 - 34*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33770*v + 139934 wrt v.\nAnswer: 33770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 1)*(-2 - 2 + 6)*(-14*w**3 + 9*w**3 + 13*w**3).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 3*j**2 + 24*j + 9. What are the prime factors of h(10)?\nAnswer: 31, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 661 + -638. Solve -s = -z - t - 4*t, -5*z = t - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/9, 3.5, -3?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7428 and 11761?\nAnswer: 141132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.02 (b) -1\/4 (c) 2391 (d) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 less than 1392545649?\nAnswer: 1392545616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 36. Let d be ((-16)\/5)\/((-6)\/t). Calculate the highest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2 + 2)*20. Let c(l) = -17*l + 6. Let y be c(x). What is the greatest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -7*k**4\/4 - 12*k**3 - 25*k**2. Differentiate v(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5108443, -10216871, -15325299, -20433727, -25542155?\n\"Answer: -5108428*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1381.472 + 1395. Let h = k + 0.072. Let f = h + -21. Round f to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(24\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1546, 928, -76, -1448, -3170, -5224?\n\"Answer: 3*c**3 - 211*c**2 - 6*c + 1760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 16) to base 11\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493186 to the power of 1\/2, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.49 and -659.8325051?\nAnswer: 663.3225051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from xlvmmmmmx.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 22 (b) -13 (c) -0.2 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 137*s + 43. Is l(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = y - 28, y + 639 = -5*q + 604 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-18)\/m)**(17\/7) assuming m is positive.\nAnswer: m**(-323\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 3 + 108*q**3 - 57*q**3 - 54*q**3 - 2*q**2 to the form s*q**3 + w*q**2 + r + p*q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, r: 2, i: 3, h: 4}. What is prob of picking 1 t, 2 r, and 1 i?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-2)*69\/115)\/6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 618 = -3*p, 0 = 4*p - 4*w - 0*w - 828. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 108275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5984549 - 9961403 - 9790518 = -36*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w - 2. Let r(z) = -2 + 2*z - 10*z + 3 + 2. Determine 2*r(c) + 3*x(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-1161)\/126 + 9)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 364 - 14. Let z = -768\/11 + f. Let 0 + 0*g - z*g**2 + 2\/11*g**3 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, p: 4, h: 3, x: 7}. Give prob of sequence xh.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1104, 1118, 1132, 1146?\n\"Answer: 14*b + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 6:11 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 3*c - 13, 0 = 5*r + 2*c - 7*c - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -2667?\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + -1 + (sqrt(128) - (sqrt(128) + 0))**2 + 4 + 4.\nAnswer: 7 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781.577 centimeters in meters?\nAnswer: 67.81577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 949312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3210532, -3210528, -3210524, -3210520?\nAnswer: -3210516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 15*f - 1185. Let h = f + -232. Let m = 2.4 - 2. Put m, h, -5, -1 in decreasing order.\nAnswer: h, m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 15. Suppose 22 - 7 = 3*z. Let d be m(z). Find a such that -2*a**d - 15*a**4 + 10*a**5 - 20*a**3 - 21*a**4 + 20*a**5 - 8*a + 36*a**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.6118 and -0.05.\nAnswer: -5.6618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + -1 + 11 - -4. Let w(v) = -v**3 + 9*v**2 - v + 5. Give w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23045*k**3 - 747 wrt k.\nAnswer: -69135*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 123*d**2\/2 + 2019. Let x(f) = -f**2 + f. Let i(j) = 5*j**2 - 4*j. Let w(m) = -i(m) - 4*x(m). What is t(w(h))?\nAnswer: -123*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6559436, 6559434, 6559432, 6559430, 6559428, 6559426?\n\"Answer: -2*m + 6559438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**3\/3 + 4*a**2 - 6*a - 2. Let s = -11 - -17. What is the units digit of m(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**3\/2 + 15*q**2 + 150*q - 8. Suppose z(j) = 0. Calculate j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a73 + -19a5?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*h + 2. What is the third derivative of 6*n**2 - n**2 + 2*n**3 - 8*n**h wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -857\nAnswer: 3428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*g*n**4 + 5*g*n + 328*g - n**2 - 18 wrt n.\nAnswer: 116*g*n**3 + 5*g - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 27*v + 39. Let t be n(-24). Suppose -9*f + 2238 = -t. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -161? (a) -97 (b) -3\/5 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(4\/(-8) - -1). Suppose x = -7*d + 3*d. Find the second derivative of d*y**5 - 5*y**5 + y + 2*y - 9*y wrt y.\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + g - 36 = 0, 2*c = 2*g + 14 + 10. Solve -l = -5*l - c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4848.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkxz when four letters picked without replacement from {k: 5, r: 1, z: 4, i: 1, e: 3, x: 4}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-13)*j**(-2\/11))\/(j**(20\/3)*(j*((j*j**25)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-1447\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 411\/(-1*(-9)\/276). Suppose -y = -3*m + y - a, y = 3*m + 12602. Round m to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r + 0*r - 4 - r**3 + 8*r**2 - 4*r**2 + 3 - 17*r**2. Determine b(-14).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 606*h - 15600 + 34386 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.788975 weeks?\nAnswer: 2291572080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.33 + 33. Let o = 14.2741 - -0.2959. Let r = s - o. What is r rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.4271506 rounded to 2 decimal places?\nAnswer: 720.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 3*f)*(54 - 25 - 8).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366399400?\nAnswer: 2, 5, 1237, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -238, 9, 488, 1193, 2118, 3257, 4604?\nAnswer: 6153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**4 + 3*m**3 + 3*m**2 - m + 2. Let j(w) = w**4 + 3*w**3 + 3*w**2 - 2*w + 3. Let k(h) = -2*j(h) + 3*z(h). Factor k(n).\nAnswer: n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t = -83*t + 164*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -455323?\nAnswer: 455322.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77038739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1*1)\/(37\/43475*25).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 223*n + 9172. What is j(-41)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -6. Suppose -7*v + 36 = -t*v. Let x be (6 - v)*2\/10. What is the second smallest value in -1\/5, x, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157223.\nAnswer: 3, 385741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 826 + -825.6. What is the third biggest value in 4, l, 3\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 + (0 - -2 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101792670 is divided by 101792670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -11199\/13546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111111000000 - 101?\nAnswer: 11111110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51188591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33973 is divided by 16848?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5828870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 4*g**4 - 14*g + 36*g**3 + 13*g)*(-2*g + 3*g - 3*g).\nAnswer: -4*g**5 - 72*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.5841s in microseconds?\nAnswer: 336584100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455?\nAnswer: 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*u + 1193 - 1121. Sort -3, u, -26 in descending order.\nAnswer: u, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 4. Let c(q) = -3*q - 17. Let t = 69 + -72. Let b be c(t). Which is smaller: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5750 and 247550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/65552760 and -127\/3713580.\nAnswer: 1507713480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*v + s + 3, -9 = 3*v - 3*s. Let r = 11941 + -11945. Which is the third biggest value? (a) r (b) 2\/17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 40800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 618033 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 - -0.6. Suppose h + 1 = -3*o, 3*h - 10 = -4*o - 3. What is the biggest value in -1, y, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5 = -13, 2*v - 2*t = 64. Let a = -193 - -199. Suppose 0 = -n, -3*b - a*n + 3*n + 24 = 0. What is the smallest common multiple of b and v?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 411112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -17811 divided by -5937\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 25*h**2 + 17*h + 17. Let w(x) = 3*x**2 + 2*x + 2. Let a be -51 + 1 + -7 + 6. What is a*w(f) + 6*v(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90.06 + -0.06. Let f = 86 - d. Let i = 11 - 7. Put i, 10, f in increasing order.\nAnswer: f, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2539, 2103, 1535, 769, -261, -1621, -3377?\nAnswer: -5595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 321, 0, -2, -121, 2 in increasing order.\nAnswer: -121, -5, -2, 0, 2, 4, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = -37*t - 15 + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f*f*f\/(f*f**(3\/10)))**(-31)\/((f**(-4)*((f*f**(1\/7)\/f)\/f)\/f)\/((f**(1\/4)*f*f)\/f*f*f**(-3\/8))) assuming f is positive.\nAnswer: f**(-12591\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than 19658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/4 - 1\/2*(-235)\/(-94). Factor 0 + 1\/2*p + 0*p**d - 1\/2*p**3.\nAnswer: -p*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwpwpaapppappa. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/52))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 83 + -96 - (4 + 4 + 7)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*j**2*n**3*x**3 + 33*j**2*n**3*x**2 + 13*j**2*n*x**2 + 2*j*n**2*x - 4*j*n*x**3 - 2*n wrt n.\nAnswer: -120*j**2*x**3 + 198*j**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-5)*-5 - -2. Let i be (2\/4)\/(f\/16). Is i\/(3\/(-1191))*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 284*t**2 + 1045*t + 135724. Give y(-282).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203649 + 407297 - 8*c + 2*c - 203648.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 14) to base 5.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115976097 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4306 + -3071. Suppose p - 3*h = 871, p - n = -4*h - 350. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 0.2, -1250?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2*s**3 - 474*k**2*s**2 - 2*k**2 + 4*k*s**3 - 2*k + 189424*s**3 - s**2 + 597*s wrt s?\nAnswer: -12*k**2 + 24*k + 1136544","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Are 479168 and -434 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2908?\nAnswer: 2906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 6*b + 23. Determine a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 10920 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**3 + 0*j**3 - 5*j - 2*j**3 - 2 + 4*j**2. Suppose -4*t - 25 = -5. Calculate b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 14*a + 55 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 96. Calculate the highest common factor of c and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.7544 days in hours?\nAnswer: 9450.1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 + 546*k**3 - 3357*k**2 + 5064*k - 2256 = 0.\nAnswer: -188, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*76397\nAnswer: 22919.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 198*x + 202*x = 637 - 680, 24*x = j - 55 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5 + 10 + d**2 - 6*d + 0. Let u be p(6). Let j(b) = u - 5 + 2*b. Let c(h) = -3*h**2. What is c(j(i))?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 334 + -307. Let f(p) = -t - 3 + 9*p + 33. Let g(o) = -9*o - 2. Determine -2*f(y) - 3*g(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, b: 7, f: 7, p: 1}. What is prob of picking 2 b and 1 p?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**4\/10 - 4*j**3\/15 + j**2\/5 + 11. Factor q(v).\nAnswer: 2*v*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4 + 490\/4. Let o(a) = -a**3 - 5*a**2 - 2*a - 4. Let n be o(-5). What is the tens digit of q\/n + 1\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from ggggggggagagggaggg?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 35*n = -40*n - 25, q = -2*n - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3166.433g?\nAnswer: 3166433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 43*v = 1520. Calculate the remainder when 958 is divided by v.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180 + 527*c**2 + 180 + 2326*c**2 + (-c + 4*c - 4*c)*(-2*c + 0*c + 3*c) to i*c**2 + k + a*c and give i.\nAnswer: 2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -50 (b) 0.3 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 256 + -258.42. Let c = 3.2 + m. What is c rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/3))**(-2\/43))**(-11)\/((p**(1\/4))**(-4\/31)\/(((p**(2\/23)*p)\/p)\/p**4)) assuming p is positive.\nAnswer: p**(-247141\/91977)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w - 3*w + 200. Let j be (-38)\/14 + (w\/35)\/(-2). Sort j, 4, -4, 1.\nAnswer: -4, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x**5 - 536*x**4 - 138840*x**3 - 2128576*x**2 + 6622336*x - 3612672 = 0 for x.\nAnswer: -28, 18\/25, 2, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f - 6. Give w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**3 + 65*v**2 + 138*v + 79. Let c(j) = -17*j**3 - 98*j**2 - 207*j - 118. Let q(n) = -5*c(n) - 8*o(n). Determine d, given that q(d) = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3514015 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*a = 6*o - 17, -2*o + 3*a = 11. Solve 0 = -2*u - o*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvqv when four letters picked without replacement from {q: 6, l: 4, v: 7}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1 + 14 + 18*c + 364*c + 0. Let p(n) = -381*n - 17. Let h(j) = 4*p(j) + 3*w(j). Is h(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 367021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -17\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -45. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -372 + 422. What is the least common multiple of q and 30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168001900 rounded to the nearest 1000000?\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1133, -1135, -1145, -1169, -1213, -1283, -1385?\nAnswer: -1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owooowwowo. Give prob of sequence wo.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0. Let x = -6 + 5. Sort x, 1\/3, n in descending order.\nAnswer: n, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -143, -221, -315, -431, -575, -753?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 + -19)*(1 - (-15)\/(-2)). Let h = -378 + 580. Suppose -h = y*m - 28*m. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 273 = -33. Let w = 8 + j. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-372)\/(-186)*(-5)\/(-1)*-1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 170934?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9490)\/(-365))\/((-4)\/(2\/(-1)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108\/72*(-1684)\/(-3)?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 7:28 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*h + 14, -6 = 2*h + 5*q + 14. Let u(g) = 2*g**3 + 2*g**2 - g. Let f be u(-2). Put 3, h, f in decreasing order.\nAnswer: 3, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/7 + 5*s + 36\/7.\nAnswer: -(s - 36)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12315, -12319, -12317, -12303, -12271, -12215, -12129?\nAnswer: -12007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**7)\/(k\/k**7)*(k\/(k*k*k**(-1\/4)))**7*(k*k**(-1\/4))\/(k\/((k*k**(2\/5))\/k))*(k**2)**(-40) assuming k is positive.\nAnswer: k**(-841\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -51267000 to the nearest one million.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 8*c = -406. What is the remainder when c is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - s = -28. Suppose -6*n + 27 = -4*n - 5*u, -s*n + 81 = -u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 2*j - 3. Let w be v(1). What is the greatest common factor of w and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f = 2799*c - 2804*c - 92, -c = 3*f + 13 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(425))*-3)**2 + 0)*2.\nAnswer: -180*sqrt(17) + 7668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-1824))\/((-20)\/(-120)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 445103029 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 5 = w + 21*x, 0 = 2*w + 4*x + 18. Which is the closest to w? (a) -3.4 (b) 0.5 (c) 0 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2010 divided by 5\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -2, 5, -0.001 in ascending order.\nAnswer: -5, -2, -0.001, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**5 - 16*r**4 - 20*r**3 - 8*r**2.\nAnswer: -4*r**2*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -9 - 6*(-3)\/6. Let l(q) = q**2 + 5*q - 5. Let n be l(b). Sort n, -5, -1 in decreasing order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d - 24. Let c = 31 + d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22463558?\nAnswer: 2, 13, 863983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 - 26390\nAnswer: -26388.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) -0.0086 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7 + 10 - 3 - 7*b. Let h(x) = x. What is h(w(l))?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 34.417604 from 18.1.\nAnswer: -16.317604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 + 23*m - 173. Calculate c(11).\nAnswer: 1290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -24. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 314*z - 5. Does 35 divide v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 10. Let j be (14\/7 + 1 + 1)*-4. Let z = j - -23. Calculate d(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4450481 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 943 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = -y. Let u be ((-2584)\/1615)\/((-28)\/(-5)). What is the nearest to u in -0.3, 0.1, -3\/2, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 15*i**2 + 44*i - 40. Give t(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q + 10*q - 4 + 17*q**2 + 1 - 20*q**2. What is i(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 - 5 = 0. Let b = 453 - 453.5. Sort q, -4, b in descending order.\nAnswer: b, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2940*v = 2982*v - 210 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by -141\nAnswer: -217\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -5\/10253, -5 in ascending order.\nAnswer: -5, -0.07, -5\/10253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.91 - 14. Let x = 2.91 - n. Let s = -2.6 + x. What is the smallest value in s, -3, -4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65433\/25 or -2618?\nAnswer: -2618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3267)*-2)\/(sqrt(9) - -6*(sqrt(9) + 1*sqrt(9))).\nAnswer: -44*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 31\/4*z - 3\/4 - 5\/2*z**2 = 0.\nAnswer: 1\/10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3694 - 3692. Let w = -2 + 1.8. Let r = -1.2 - w. Which is the closest to r? (a) v (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-5)*w**(-3)*w*(w*w**5*w)\/(w\/w**(1\/3)))**(1\/3) assuming w is positive.\nAnswer: w**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-6))\/(-1 - 1). Sort k, -0.14, -72, -1 in descending order.\nAnswer: k, -0.14, -1, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5666 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 77 = -j, 8*h - 3*j - 133 = 3*h. Suppose 0 = w + 3*g - h, -w + 4*w - 4*g = 13. Suppose -9*m + w*m = 16. Is m greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*m = -20, -3*m + 27 = o + 31 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 3*h)*(2*h + 3*h - 2*h)*(-h**2 + 11*h**2 + 6*h**2).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 - (-78)\/9. What is the second derivative of h*x - 6*x**4 - x - x wrt x?\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3 - 1002. Suppose 10*y + 9*y - 876 = 7*y. What is the remainder when g is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*w + 406913 = 141*w - 326601. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*b - 35 + 41 = 0, -3*b + 22 = n. Solve 4*z - 6 = w, -3*w + 7*w + n = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + g + 14 = 4*j, -1 = -g. Let z be (j + -13)*(0 + 3 + -8). Calculate the greatest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 9*a = -540. What is the remainder when a is divided by 40\/6*(-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14015*a**2 - 30657*a**2 + 14532*a**2.\nAnswer: -2110*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873555 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k + 133*k + 115*k - 70 - 588*k + 106*k + 116*k.\nAnswer: -2*k - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82446400*d**3 + 36320*d**2 - 4*d = 0.\nAnswer: 0, 1\/4540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/120 + 17*t**4\/8 - 4*t**3 - 5*t**2. Let a(c) be the first derivative of g(c). What is the units digit of a(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 453, 903, 1355, 1815, 2289?\n\"Answer: y**3 - 5*y**2 + 458*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away -1872433816790?\nAnswer: 1872433816782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 1866*y - 822. Let m(v) = 3733*v - 1631. Let j(h) = -7*a(h) + 4*m(h). Differentiate j(r) wrt r.\nAnswer: 1870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 5}. What is prob of sequence hha?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152.95 - -153. Which is the second biggest value? (a) -1\/5 (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**2 - 3*k + 47. Let a(u) = -3*u**2 - u + 16. Let s(f) = -11*a(f) + 4*g(f). Determine s(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*(x\/x**2*x)\/x*x*x))*x)**46*x**(2\/3)\/(((x*x\/(x*x\/(x**(-2\/11)\/x)*x)*x)\/x)\/x*x) assuming x is positive.\nAnswer: x**(4648\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**8)\/(d\/d**(-5\/6)))\/(d**(-8\/5)*d**(8\/5)\/d) assuming d is positive.\nAnswer: d**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-1)*9\/(-12). What is the common denominator of -7\/76 and (291\/152*-2)\/v?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05993583 rounded to three dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40231813 to five dps.\nAnswer: -0.40232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -254988 divided by -9444?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + 20 + -3 + 1. Find the third derivative of 2*i**4 - h*i**2 + 4*i**4 + 3*i**4 wrt i.\nAnswer: 216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49 + 2030*f - 48 - 59 + 156 in the form o + x*f and give x.\nAnswer: 2030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 699 and 25368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 4235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d = 29*d + 33*d + 176. Sort 0, d, 5.\nAnswer: d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*a**2 + 157*a**2 - 345*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 5. Suppose -2*d + 0*d = b*s - 18, 2*d - 14 = -3*s. Factor 2*t + 2\/5 + 2*t**4 + 4*t**s + 4*t**3 + 2\/5*t**5.\nAnswer: 2*(t + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009540201 rounded to four decimal places?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swwz when four letters picked without replacement from {w: 4, s: 4, z: 4, x: 4, j: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20748.79l?\nAnswer: 20748790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2 - 4. Let m(a) be the third derivative of -1\/24*a**4 + 1\/6*a**3 + 0 + 2*a**2 + 0*a. What is m(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4 - 2\/(-2). Suppose 0 = 6*c - 2*c + 8. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1782, -2909, -4038, -5169?\n\"Answer: -g**2 - 1124*g - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2. Let r(h) be the third derivative of -43*h**5\/60 - h**3\/3 - 6*h**2 + 32. Determine r(k(d)).\nAnswer: -172*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let n(p) = -p**2 - 4. Let l(u) = 5*a(u) - n(u). Let z be l(5). Let g(r) = 2*r + 4*r - 3*r - z*r + 7. Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - 2*x**5 + 2*x**3 + (4*x**2 - x**2 - 2*x**2)*(5*x**3 + 0*x**3 - 4*x**3) + 1 + 2*x**5 - 1 + (-2*x**4 + 3*x - 3*x + 2*x**5)*(-4 + 0 + 3).\nAnswer: -x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 1988?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - f + 17 = 3*a, f + 7 = 3*a. Suppose 3*n + 80 = a*h + 2*n, 2*n - 40 = -2*h. Calculate the highest common factor of h and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/12*-4*123. Let i = o + 73. Does 4 divide (3 - i\/(-5))\/((-8)\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1357712 (base 8) in base 7?\nAnswer: -3162235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*w + 12, -2*d - 2*d = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o**2 + 4*o + 4. Let j be c(3). Suppose 0*i + 4*a = i - 56, 0 = 2*i - 5*a - j. What is the remainder when i is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 175a146 + 28a?\nAnswer: 175a425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8231 + 16872. What are the prime factors of k?\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 7. Suppose -6*w = -b*w - 4. Suppose w*v - 36 = 3*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4426*z - 75240. Let r be m(17). Solve 3 + 1\/3*a**4 - 10\/3*a**r - 3*a - 1\/3*a**5 + 10\/3*a**3 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 27, 17, 5, -9, -25, -43, -63?\n\"Answer: -x**2 - 7*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7551?\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:14 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o - 5 + 14*o**2 - 8 + o - 2*o**2 - 10. Let f(c) = -7*c**2 - 2*c + 12. Let p(k) = 4*a(k) + 7*f(k). Determine d, given that p(d) = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.601221 - -19.6. Round z to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*r - 277*r + 833*r = 282*r - 15. Find d such that 8*d**2 + 2\/7*d**r + 442\/7*d + 676\/7 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -247.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 72 = 3*q. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -232, 2, 88, -1 in decreasing order.\nAnswer: 88, 2, -1, -5, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*(-2)\/(2\/3). Find the third derivative of -12*u**2 - 7*u**k - 35*u**3 + 50*u**3 wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -752?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -12) + 4 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893097143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - l = -41, -5*y + y + 34 = l. Which is the second biggest value? (a) -1.03 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, 19 in increasing order.\nAnswer: 2, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/10*(-24)\/(-36)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/50)\/((-36)\/3168*-44).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 + 2)*13 + (-281)\/((-35687)\/(-14224)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4) + (-298566)\/684*1\/6?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 816, 1641, 2468, 3297, 4128?\n\"Answer: k**2 + 822*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 167760 - -147?\nAnswer: 168017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 331\/7. Suppose -2*f + 2*l + 10 + 2 = 0, -f + 5*l + 22 = 0. Let p be (-1 - f)\/((-30)\/50). Which is the closest to w? (a) 1\/3 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + (0 - -2))\/1. Suppose a + 5*s - 12 = 15, l*a - 14 = -2*s. Let t be 5 - (1 + (a - 1)). Solve z + 4*m = -m - 5, 3*m = 5*z - t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 181\/5. Which is the biggest value? (a) -11 (b) 0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -27 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 0*f - 2*f)*(-5*f**3 - f**3 + 3*f**3 + (3 - 2 - 4)*(2*f**3 + f**3 - 5*f**3))*(-1 + 2 - 3).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235115376 to the power of 1\/3, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316735 >= 4316736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 178\/6 + (-1)\/(-3). What are the prime factors of p\/9*-2*33\/(-4)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 169*((-117)\/(-169))\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + 0 + (0 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + h**2 - 15*h**2)*(-2*h + 3*h**2 - 2*h**2 - h).\nAnswer: -14*h**4 + 42*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/147 and -97\/231.\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -43, -70, -97?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58.8? (a) -744 (b) -2 (c) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let u = -17.4 - -26.1. Let k = -5.7 + u. Which is the third smallest value? (a) k (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 77. Let w = -38 + g. Let n(q) = -18*q - 12. Calculate the remainder when n(w) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-384)\/(-32) - 14\/((-56)\/10)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2437 - -2431. Let k(n) = -8*n**3 - 11*n**2 + 4*n - 6. Let z(c) = -15*c**3 - 21*c**2 + 7*c - 11. Calculate b*z(l) + 11*k(l).\nAnswer: 2*l**3 + 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 223 - 220 = 0. Let s(z) be the second derivative of -z**3 - 5*z**2\/2 + 4*z. Let g(b) = 3*b + 3. Let u(w) = 5*g(w) + 3*s(w). Calculate u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:49 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 28726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27544.5 + -27544.5193691. What is x rounded to 4 dps?\nAnswer: -0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y + 7. Let r be j(6). Suppose 4*q + v = -15, 0 = 2*v + r - 3. Put q, -2, 3 in descending order.\nAnswer: 3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/559 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 327*z + 1356. Calculate j(-70).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1366*p**4 - 2*p**2 + 10*p + 0*p**3 - p**3 + 1365*p**4 - 2*p**2 + 2*p**2 to the form v*p**2 + z + a*p + u*p**4 + q*p**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45541*i - 110 = -45519*i. Which is the nearest to -0.1? (a) 1 (b) 0.5 (c) i (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3600335 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from eeweeuuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2315 divided by -5\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, r: 4, g: 1}. What is prob of picking 1 f, 1 r, and 1 g?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*(-5)\/100*-25.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3089.1 times -5\nAnswer: 15445.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 520 - 520.1. What is the nearest to m in 3, -1.2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3878 + 1943 + 3*a**2 + 1935 - 4*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 2. Suppose -7*m + 3*m = -u. Suppose m*v = -7 + 39. Solve -5*d - 41 = -2*l - v, d - 4*l + 5 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290.6 to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -331003332 (base 5) in base 14?\nAnswer: -2904bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1422, -3, -1 in descending order.\nAnswer: 1422, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704118787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 469 - 329. Let x be 2\/((-5 - 0)\/225). Let d = x + y. Calculate the greatest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 30.4. Let u = -2.1 - f. What is u rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by -34\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgwgjjwggsm. Give prob of sequence gwsm.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 518243*i**4 + i**3*n**3 + 92*i**2 + 120*i*n**2 - 2*n**3 wrt i.\nAnswer: 12437832*i + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6197.791m?\nAnswer: 6.197791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -19*g**5\/20 + 2*g**4 + 29*g. Find the third derivative of u(x) wrt x.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3 + 0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -7*g + 113. Suppose g*v + 32 = 3*t, 11*v - 12*v - 76 = -5*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 27. Let t be y(4). What is the biggest value in 0.1, t, -1\/14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/725643 and 30\/886897?\nAnswer: 7982073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 6\/1465 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-3 + (2 - -3)). Suppose z*i - 4 = -44. What is the smallest common multiple of 11 and i\/4*(-4 - 0)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1599.3652 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16783 - 25662 - 23728 + 164*k.\nAnswer: 164*k - 32607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 245*k**2 - 740*k**2 + 248*k**2 + 242*k**2 - 2*k to the form q + c*k**2 + z*k and give q.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -15, -24?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96653.\nAnswer: 19, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 - 13 + 3 - 2*c)*(-5 - 1 - 18).\nAnswer: 48*c + 1368","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/24 + c**2. Let s(u) = 6*u - 20. Let m be s(6). Let z(j) = -m*j**2 - 19938 + 19938. Determine z(h(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*k + 4*k + f, 0 = -3*k - 5*f + 18. Suppose -2*y = 4*t - 8, -k = -4*t + 3*t. Factor 0*c - 4*c - c**y + 0*c - 4.\nAnswer: -(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0 + b)*(6*b - 6*b + 3*b**4).\nAnswer: 3*b**5 + 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfwdkwdwdwwwlfwd. Give prob of picking 1 k, 1 d, and 1 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562190 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 143885*r - 4*r**2 + 20 - 3*r**4 + 143891*r - 19 + r**4 to the form z*r**4 + w*r**2 + k*r + o*r**3 + i and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 23*v**2 - 105*v - 28. Determine z(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t - 7*t = 13. Solve -a = -f - 5*a, -a + t = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(132)*6)\/(4*sqrt(48)))**2 + -4.\nAnswer: 83\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -235*u**3 - u - 71?\nAnswer: -705*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145641.\nAnswer: 3, 43, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-31)\/h**(-29))\/((h*h*h**30)\/h**(-22\/5)) assuming h is positive.\nAnswer: h**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*b**2 - 36*b**2 + 254*b**2)*(4 + 0 - 2).\nAnswer: 362*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-15))\/b**16)**(-4\/19) assuming b is positive.\nAnswer: b**(120\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/12 + 92*b**2. Let l(n) = n**2 - 13. Give l(o(g)).\nAnswer: 4*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(2\/5))\/b*b)\/(b\/(b\/((b**(-1\/8)\/b)\/b))))**(-1\/12) assuming b is positive.\nAnswer: b**(-181\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1638, 6537, 14738, 26271, 41166, 59453, 81162?\nAnswer: 106323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 725 + 667 = 68*p. Solve -70*s + 258 = p*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105472?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259 is divided by 168?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 - 1833192*y - 210037056804 = 0. What is y?\nAnswer: -229149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 less than or equal to 353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 0)**2*-4 + 1 - 2*(2*sqrt(171) + -3).\nAnswer: -1893 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.4217798 + 0.0238098. Let t = 31.4 + n. What is t rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2. What is the least common multiple of t and (3 - 1)\/6*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*s + 2, -5*t + 24329 = 4*s. Suppose -12*p = -3499 - t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -15. Suppose -v*o + 0*o + 573 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*((-6)\/(-3) - 1). Let a(f) = -5*f + 12*f - 8*f + 8. Let g be a(10). Put i, g, -11 in descending order.\nAnswer: i, g, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-0.129\nAnswer: 0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27872)\/(-1742) - (158\/10)\/((-1)\/(-1)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45029 - 16719 = 95*h. Calculate the remainder when h is divided by 104.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86432060 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -443\/4 + 111. What is the nearest to -6 in 5\/3, 2\/9, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/9 of a day?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/(d\/d**(3\/4)))\/(d**(-2\/7)\/d)**(-1\/22))**42 assuming d is positive.\nAnswer: d**(-2133\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t + 1. Suppose 0 = 4*b - 6 + 10. Let c(a) be the second derivative of 0 + a + 5\/2*a**2 - 5\/6*a**3 + 1\/2*a**4. What is b*c(l) + 5*n(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 5\/((-15)\/42). Is 47*2 + b\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -19. Let o(j) = -18*j. Let q be o(1). Let b = i - q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 0*z)*(-3*z - z - 19*z) + (3*z + 2 - 2)*(-1 - z + 1).\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1112 + 4?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in 3, -0.12, 2, -1, 4\/29?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smm when three letters picked without replacement from sssssmsssssms.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6252 = 383*m + 14502 + 3758 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.5 (b) -1 (c) 2\/5 (d) -0.1 (e) 0.5 (f) -17\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 9:10 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 5. Let g(t) be the third derivative of -t**4\/12 - 59*t**2 + 2. What is g(l(u))?\nAnswer: 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {x: 6, s: 4, w: 1, o: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-45) - (0 - (-237)\/27) - -6. Let v(j) be the first derivative of j**4\/4 + 2*j**3\/3 - j**2\/2 - j + 1. Calculate v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of d**7\/630 + d**6\/120 - d**4\/18 + d**2 - 19*d + 33. Let k(v) be the second derivative of m(v). Factor k(s).\nAnswer: s*(s - 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (0 + 6) - (39 + -37).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1543 + -1543.891. Let j = -0.121 - g. What is j rounded to two dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 424724915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 7 = -7. Let j be (-2)\/(6\/(-39)) + t - 4. Solve 4 = -j*q + 8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218903 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(117) + 3*(sqrt(117)*1)**2) + (sqrt(13)*3)**2*5 + (-5*sqrt(91)\/sqrt(7))**2.\nAnswer: 15*sqrt(13) + 2665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23396580?\nAnswer: 2, 3, 5, 37, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.072 and 1569423?\nAnswer: -112998.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 8*d**2 - 36*d + 148. Let s = -10 + 59. What is the smallest common multiple of j(6) and s?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1854368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 325454441 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -4 in increasing order.\nAnswer: -6, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 60. Is 17 a factor of (2 - -117)*v\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12600 + -12599.9999985062. Round s to 7 dps.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*z = -2*q + 43*z + 90, -186 = -4*q - 2*z. Solve 14*y - 18 = -q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t = 43*t + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, 25, 154, 391, 772, 1333?\n\"Answer: 6*q**3 + 15*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose 3*u - 2*u - 13 = 3*m, g = -5*m + 5*u - 5. Let w(n) = n**3 + 5*n**2 - 6*n + 3. Calculate the remainder when 7 is divided by w(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 20706 - 63261 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 4*n - 16)*(-1 + 7 + 0) + 0 + n + 0 + 2*n - 4*n + n + (0 - 4 + 6)*(4*n + 0*n - 2*n) - 2 + n + 2 + 1 - 1 + 2*n + 4 + 2*n - 4.\nAnswer: 33*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 35*j - 63 + 45.\nAnswer: 35*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (28840\/135960)\/((-2)\/12)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -801 + 379. Let n = 402.3 + s. What is n rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10129013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - -3.5. Let s = t + -3. Let y = s + -0.99984. What is y rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/20 + 7*z**4\/6 + 5*z**3\/2 + 62301*z. Suppose 1 = y - 14. What is d(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229\/104 + -61495\/104. Let x = 594 + k. Which is the nearest to -0.3? (a) 0.1 (b) 9\/2 (c) x (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 17*l + 5. Let b(r) = -9*r - 3. Let w(k) = -11*b(k) - 6*g(k). Let z be w(6). Let j be -3*16\/z + -3. Is j < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17 less than -4?\nAnswer: -4.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127.92 + 128. Is q bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 393*n - 391*n - 3*t + 44, 60 = -3*n + 3*t for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/8*(-20)\/120?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6984 = -1676*k + 1094*k for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + 7) - 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, 2, 23, 74, 167, 314?\n\"Answer: 2*x**3 - 3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 2*h + 17, -2*h - 5 = s. Let l = 5.1 + -7. Let x = l + 2.4. Which is the nearest to 3\/5? (a) x (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3904547.6 and -47.\nAnswer: 3904500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-18 - (-13 - -10)) + -22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Sort -14.1, -5, 1, -3 in descending order.\nAnswer: 1, -3, -5, -14.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvk. What is prob of picking 2 k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 18*w**2 - 4*w + 74. Let i be b(18). Suppose -5*g + 4964 = -3*g + i*s, -4*g + 9907 = -3*s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -886\/5, 0.5, 0.2, -7, 2\/5, -12 in decreasing order.\nAnswer: 0.5, 2\/5, 0.2, -7, -12, -886\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1614 * 227277\nAnswer: -366825078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 1015 = 997. Which is smaller: -1.2 or b?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:46 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) 26 (c) 32 (d) -8 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-582)\/6014 - 734\/(-217).\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 209725332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -20, -3, -0.1, 0.1, -35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 50. Let n be v(19). Let r(d) = -d**2 - 15*d - 57. Let t be r(n). Suppose 3*l + 2*b = -1 - 3, 5*b - 1 = -2*l. Sort 2, l, t in decreasing order.\nAnswer: 2, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - 2*(-5)\/100. Find s such that x*s**2 + 1\/4*s**3 + 1\/4*s + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-16) + 4745\/(-2600). What is the fourth biggest value in 0, -4, -0.1, 1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-2*sqrt(5)) + (sqrt(45) - (1 + sqrt(45))**2).\nAnswer: -46 - 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 273224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/(-110)*5\/(-3). Let r(p) = p**2 + 13*p + 1. Let y be r(-13). Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, q: 2, w: 1, n: 1}. What is prob of sequence qnq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9290)\/(-125))\/(4*753). Let m = r - -1\/502. Let l(y) = -3*y - 5. Let b be l(-2). Is m equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 777655, 777669, 777683, 777697?\n\"Answer: 14*l + 777641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97438435 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000075945394 to seven dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -748 divided by 7?\nAnswer: -748\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 892058131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347*r + b + 44909 = -346*r, -2*b + 8 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**7\/840 - p**6\/360 - p**5\/120 + 5*p**4\/24 - 176*p**3\/3 - 49. Let n(m) be the third derivative of l(m). Determine n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 12282991.\nAnswer: 24565982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -920 + 1?\nAnswer: -91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2356220025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 8*f + 168 + 271 - 24, 4*f = -5*u - 209 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79891522 is divided by 5509.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54272 divided by 8?\nAnswer: -6784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((1*sqrt(684))**2 - (sqrt(1216) - (-2 + sqrt(1216)))) + -1.\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81d - 6c7?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.1781*13\nAnswer: -2.3153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/(3\/(-27)))\/(-2).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 6. Let f(x) = 2*x + 0*x + 11 + 0*x. Suppose -3*s + 48 = -11*s. Determine s*f(n) - 11*d(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/11 (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8679 is divided by 90.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 + -59. Calculate the remainder when j is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3.4, 1\/3, 5 in decreasing order.\nAnswer: 5, 3.4, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 55. Let c(i) = 3*i**2 + 16*i + 3. Let y be c(w). Let k = y + 22. Let t(p) = p**3 - 9*p**2 + p - 11. What is t(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*z + 5 + 10, 9 = -3*z. Let c be 15 + -8 + 0 + -3 + 7. Suppose 20 = c*f - 2. Solve 0 = 2*j + h*r - 3 + 1, 0 = 3*j - f*r + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 791 - 795.001. Let y = -1.8 - -1.799. Let g = u - y. Sort g, -3, -0.1, 0 in decreasing order.\nAnswer: 0, -0.1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 + 4 + -5 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/19, 3\/4, 3, 4651?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -384.6 - -425. Let t = x + -41. Let u = -0.3 - t. What is the smallest value in u, -3\/8, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 135388?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - 6. Let n(o) = -o**3 + 4*o**2 - o + 1. Let r be n(3). Suppose -r*s - 12 = -3*s. What is the units digit of x(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 = -h. Let m be h + -1 + 40\/(-8). Let n = -5 - m. Solve -1 = -n*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6383341875 - 2*y**2 - 6383341875.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**6\/30 + 39*s**5\/4 - 349*s**4\/2 + 271*s. What is the third derivative of m(u) wrt u?\nAnswer: 24*u + 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 2*g**6\/3 - 56*g**3\/3 - 43. What is the third derivative of s(y) wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8118 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-3 - -2 - 8). Let j = -8 - p. Suppose x - j*t - 651 = -4*x, x + t = 135. What is the highest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -f, 2*v + 2*f = 7*f - 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170 = -63*g - 12 - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193447 divided by -282.\nAnswer: -193447\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2268) + 2*sqrt(2268) + sqrt(2268) + sqrt(2268))*-5)\/(5*sqrt(81)*-3))**2 + -5.\nAnswer: 655\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 0 - 11 + 9. Let i be y(-2). Solve -4*n + i*n = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, a: 2, g: 2, f: 1, d: 1}. What is prob of sequence gd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 - 70266*n**4 + 421524*n**3 - 843000*n**2 + 561984*n.\nAnswer: 3*n*(n - 23416)*(n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3101? (a) 4 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70213669?\nAnswer: 29, 1301, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -782 (b) -146 (c) -1\/5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4214697114.8 + 4.\nAnswer: -4214697110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1572 - 188639\/120. Let x(l) be the third derivative of i*l**5 + 0*l + 0 + 1\/48*l**4 + l**2 + 0*l**3. Factor x(p).\nAnswer: p*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 603\/117 - 2\/13. Solve -1 + k = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let q be (15\/6)\/(4\/(-8)) - -2. Let f be o*111 - (q + 1). What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5583*y + 0 + 0.\nAnswer: -5583*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 1849?\nAnswer: -12\/1849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/12)\/(105\/495). Is -3\/2 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -127.03. Let i = -0.07 - m. Which is the smallest value? (a) 4 (b) 7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -7\/8, 1\/4, -4, -3\/2, -9 in decreasing order.\nAnswer: 1\/4, -2\/19, -7\/8, -3\/2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4664146127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnennnenne. What is prob of picking 1 n and 1 e?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) 46 (b) 4 (c) 3 (d) -4 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89.6 + -76. Let a = 14 - h. What is the smallest value in -3\/2, a, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**7\/630 - u**6\/120 + u**5\/60 - u**4\/72 - 44*u**2. Find x, given that l(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 5*d + 3*d)*(2 - 2 - 2*d**3) - 56*d**4 - 54*d**4 + 114*d**4 + 7*d**2.\nAnswer: 2*d**4 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 67210391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*x - x - 31, -4*w + 2*x = -28. Solve -w = 2*d + 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilometer in meters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 966 + 965 + 963 - 2892 = 0, 4*v + 3*y = 58 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((sqrt(153) + -2*sqrt(153) - sqrt(153)) + sqrt(153)) - sqrt(153) - (1*sqrt(153)*1 + sqrt(153) - sqrt(153)))*4)\/(-6*sqrt(81)*-2*-3).\nAnswer: 7*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 631986289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 13) + 8 - (8 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6701*h**3*i**3 + 8*h**3*i + 21699*i**3 - 2*i wrt h.\nAnswer: -20103*h**2*i**3 + 24*h**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18932826 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259477142?\nAnswer: 2, 129738571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1000000111010000111 (base 2) to base 3\nAnswer: 111111200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccfcsfcf. What is prob of sequence fsf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-3)*g)\/g**(1\/4))\/(g**(1\/3))**(-12))\/((g\/(g*((g**(-4)\/g)\/g)\/g*g))\/(g\/(g**(-2\/5)*g)*g*g)*(g\/g**(1\/4))\/g**(-2\/5)) assuming g is positive.\nAnswer: g**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*j + 13. Let c(o) = o + 23. Calculate the remainder when c(-10) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/917147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a - 7*a + 21*a + 11*a to z*a + o and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -32. Sort i, -7, -4.\nAnswer: -7, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21713065*z**4 + 2*z**2 - 29396*z - 906.\nAnswer: 521113560*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -1\/40*g**5 + 5\/24*g**4 + 1\/360*g**6 + 0*g**2 - 3 + 0*g - 5*g**3. Let p(j) be the third derivative of i(j). What is p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -166 - 11?\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b**3 + 2*b**2 + 1. Let j(q) = -40*q**3 - 7*q**2 - q - 4. Let r(n) = -2*j(n) - 7*o(n). Let u(c) = 6*c**3 - c - 1. Calculate -3*r(l) - 5*u(l).\nAnswer: 3*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 7202.7377\nAnswer: 8643.28524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 - -916?\nAnswer: 916.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -43, -65, -87?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1215*a**5 + 2*a**4 + 313*a**3 - 34*a**2 - 327*a - 4 wrt a.\nAnswer: -72900*a**2 + 48*a + 1878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*s**3 - 17294*p**3*s - 2*p**2 - 2*p*s**3 + 2*p + 1154*s**3 - 9*s**2 - 1 wrt p.\nAnswer: 12*p*s**3 - 103764*p*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19613.12 times -166\nAnswer: -3255777.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -129559, -259178, -388797, -518416?\nAnswer: -648035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) 4\/9 (c) 5 (d) -1\/16 (e) -3.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + x = -5*k + 28, -3*x - 9 = 0. Solve -k*f + 7*q = 3*q + 45, 3*f + q = -10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153 or -175?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 + -18342270263.\nAnswer: -18342270262.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 3*g**2 - 2*g**4)*(3*g + 10*g + 39*g).\nAnswer: -104*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111112 + -11011110011?\nAnswer: -11010221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 9. Let x = -8 + z. Let k = 9.6 + x. Sort 1\/3, 0.5, k.\nAnswer: k, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 10:00 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 88*w - 1462. Let t be x(32). Suppose 4*g - g - 90 = 0. Calculate the highest common factor of t and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/40*-2*(-42)\/3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39137*a*y - 489098*y wrt a.\nAnswer: -39137*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 756.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2122*j - 959*j = -25586 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 8*g + 2. What is r(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - b = -12 + 1, -2*b = 3*i + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*n**5 + 3*n**3 + 574*n**2.\nAnswer: -4140*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/64994 at most -2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -541686*i**3*o**3 + 2*i**3*o - 33807*i**3 - 23*i**2 + 2*i wrt o?\nAnswer: -1625058*i**3*o**2 + 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9561 - 8111. Is x a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 - 855540*c - 3422080 = 0. Calculate c.\nAnswer: -171104, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3063*w + 1114891. What is b(-364)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746, 745, 744, 743, 742?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048654721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923517149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 139. Suppose 11*x = -h*x - 280. Which is the third smallest value? (a) 1 (b) -3.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**3 - 3*r**3 + 266*r**2 + 283*r**2 - 559*r**2 + 24*r = 0.\nAnswer: 0, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4490*x**4 + 7*x**3 - x + 439 wrt x.\nAnswer: -53880*x**2 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*d + 12242 + 7596 = 0, -5*m + 49613 = d. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-5 - (0 - 0)). Let z be (-17)\/((-1190)\/20)*7. Let y be z\/(-16)*m*0. Solve y = g + g - 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*(((h*(h*h**(-1\/4))\/h)\/h)\/h)\/h*h)**(-37)\/(h*h\/h**(1\/3)*h)**17)\/((h**0)**(-2\/37))**47 assuming h is positive.\nAnswer: h**(-1321\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-150*k**2 + 0*k + 4*k + 154*k**2)*(0 + 5 + 0) to h + s*k**2 + o*k and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 1:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2164540 and 18?\nAnswer: -38961720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207450238 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3375, 6742, 10109, 13476, 16843?\n\"Answer: 3367*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 3 + -1)*-4. Suppose 87 = -u*w + 5*p + 488, -5*w + 490 = -4*p. What are the prime factors of w?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 388 - 58 = 0. Let c be 670\/20 - 7\/14. Calculate the highest common divisor of c and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5}. What is prob of picking 2 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -516895*m**2*z**3 + 15238*m**2*z + 7*m*z**2 wrt z?\nAnswer: -3101370*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(4)\/sqrt(8) - (sqrt(2) + ((sqrt(36)\/sqrt(2))\/sqrt(9))**2 - -1*sqrt(72))) + 0.\nAnswer: -13*sqrt(2)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**4*q - 8*p**3*q**2 + p**3 - 3*p*q**2 + 24*p wrt p?\nAnswer: 24*p**2*q - 48*p*q**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000208925731 rounded to six dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 5*o**3 - 60*o**2 + 140*o - 80.\nAnswer: 5*(o - 2)**2*(o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-2\/11)*l))\/((l*l\/(l*l**11\/l*l)*l)\/l*l))**(-1\/19)*(l**(1\/5)*l*l*l\/(l*l\/(l*l**(1\/14))))**(-2\/9) assuming l is positive.\nAnswer: l**(-20527\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52031351608371 - 0.13?\nAnswer: -0.65031351608371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19390 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1230 - 1232. Which is the biggest value? (a) 0 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/473670 and 43\/50?\nAnswer: 2368350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 14*f + 15 = 0. What is the remainder when 22 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298993 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277968 is divided by 498?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29204509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-439)\/(-204) - 145*209\/181830.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*f + 55, 53 = 5*w + 2*f + 154. Which is smaller: w or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148339 or 148336?\nAnswer: 148336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, q: 7, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**4 - 23*s**3 - 17604*s**2 + 5994949*s?\nAnswer: 24*s**2 - 138*s - 35208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from dqiddqddqqqldzddl?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 318*q**2 + 138*q + 1111. Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -53.9. What is the fourth smallest value in 0.3, u, -0.2, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100429 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*v**2 - 116*j**2 - j*v**2 + 10*j*v + 80742*v**2 + 14*v wrt v.\nAnswer: -2*j**2 - 2*j + 161484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 54. Let g = 69 + -87. Let q be t(g). Let b = 81 + q. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2. Let r(x) = -60*x. What is r(w(z))?\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 10. Let u = i + 5.9. Suppose 4*s + 4*j = 12, 263*j = 4*s + 258*j + 15. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjjd when four letters picked without replacement from jjdcjjsdjjjsssjjjjj?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3350726 (b) 1\/4 (c) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0747*24.\nAnswer: -1.7928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/3)\/((164\/(-123))\/((-28)\/14))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98.3 - -98.3. What is the nearest to 6 in s, 1.3, -6?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - x = 1 - 5, 4*x = -3*g + 16. Suppose g = -6*s + 8*s - 12. Suppose -n = -s + 4. Solve 2*l - 1 = j + 6, 0 = n*l - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzkllzlzlzllll. What is prob of picking 1 k and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 4 - 5)*(0*d + 2*d - 3*d) - 5 + d + 5 - 3*d + 0*d + 4*d + (3 - d - 3)*(-3 + 1 + 3))*(-2 + 0 + 4)*(-3 + 2 - 1) to t*d + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) 5 (c) 2 (d) 6426 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + sqrt(147) + -2 + -2)*2.\nAnswer: -2 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2.3, -4\/9, -2, 0.1 in decreasing order.\nAnswer: 2.3, 2, 0.1, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 + -4?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 1, c: 3, x: 2, k: 2, y: 1}. What is prob of picking 1 h, 1 z, and 1 c?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771498 times 200?\nAnswer: 354299600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1421 and 90356.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 5*l**4\/6 + l**3\/3 + 5*l**2\/2 + 8*l. Is o(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 + -33. Suppose -5*x + v = -x. Calculate the least common multiple of ((-2)\/6)\/((-8)\/x) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 151603 + -87518. What are the prime factors of j?\nAnswer: 5, 7, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 103 = -43. Let c = -22 - j. Is c not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 + -261. Suppose -f*p + 4*b = -4714, -5*p - 4*b + 9452 = -p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -707*g**2 + 25042*g**3 + 707*g**2.\nAnswer: 25042*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 + 0*i**2)*(2 + 3 - 4 + (-2 + 1 - 1)*(0 + 2 - 5) + 6 + 2 - 3).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 8605, -9, -3.\nAnswer: -9, -4, -3, 3, 8605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qz when two letters picked without replacement from {z: 5, d: 1, t: 1, q: 10}?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d - 4. Let q(w) = -w - 10. Let p be q(-5). Let c = -5 - p. Calculate a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a0a5 - 535?\nAnswer: 19670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, l: 2, u: 2, e: 2, w: 1, o: 3}. Give prob of sequence el.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Suppose 2*u = 4*k + 8, -x*u + 4*k = -6*u + 4. Solve -u*a - 4 = 2*i - 2, 5*a + 3 = -4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((((-96)\/(-20))\/(-6))\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 44*b**3 - 182*b**2 - 13*b - 52. What is the thousands digit of x(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13297459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2104 - -2099. What is the closest to 1 in 5.7, 2\/9, j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -379645 + 575641. Suppose 15*g = 3*g + f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/3 + 470988*x - 83186136054.\nAnswer: -2*(x - 353241)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a**4 + 3*a**3 + 96*a**2. Let n(m) = m**4. Let i(r) = -h(r) + 3*n(r). What is the third derivative of i(t) wrt t?\nAnswer: 672*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139.4 - 126. Let o = z + -16. Let y = 0.6 + o. Which is the nearest to -1\/5? (a) -5\/4 (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201*n**3 + 791*n**3 - 2347*n**3 + 4.\nAnswer: -2757*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10327\/365 or -29?\nAnswer: -10327\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3 - -3) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i*i)\/i**(21\/5) assuming i is positive.\nAnswer: i**(-76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2. Let y(b) = -7*b**2 + 5*b - 5. Let k(d) = -4*d**2 + 3*d - 3. Let a(w) = 5*k(w) - 3*y(w). Determine s(a(m)).\nAnswer: 10*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 18 = 7*x. Let d(a) = 59*a**2 - 7*a + 9. Is d(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 932778553050?\nAnswer: 932778553056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -123*o**3 + 3*o**2 + 1498*o - o**4 - 2*o**4 - 1375*o.\nAnswer: -3*o*(o - 1)*(o + 1)*(o + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2035)\/(-20))\/(-11) + 1110\/296?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199?\nAnswer: 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3426, 3288, 2912, 2178, 966, -844?\nAnswer: -3372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d. Suppose 0 = -4*o + 2*c + 2*c + 40, d = 2*o - 3*c - 20. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69399220, -69399218, -69399216?\n\"Answer: 2*u - 69399222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 0*l**2 - 3*l + 0 + 0*l**4 + 0*l**3 - 1\/20*l**5. Find z such that c(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3595253.\nAnswer: 37, 97169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 14*g - 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -28. Find the third derivative of 12*g**2 + g**3 + g**3 - g**j wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 - 2*q - 2. Let n be m(-2). Suppose 1 = -n*b + b. Let w be b\/(-2) + 3\/(-6). Is 1\/9 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1746.64933 to 1 decimal place.\nAnswer: 1746.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 1, -8, -31, -74, -143?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*a + 3*h, -3*a - h = a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6\/((v*v*v**16)\/v)*(v\/(v**(-7)*v*v))\/(((v\/(v\/v**(-2\/23)*v))\/v)\/v) assuming v is positive.\nAnswer: v**(-44\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4) + 21\/7\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 390.077 (b) -5 (c) 1 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrrrt. Give prob of sequence tt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 - 678*t + 405. What is b(135)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggddnkgydgkkknggd. Give prob of picking 1 n and 2 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18031026 - 10619211. Let y be 1\/4 + k\/(-660). Let d = 11227 + y. What is the common denominator of d and 115\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 427 + 273 = -2*f, -2*h = -8. Let l be f\/35 - (-4)\/14. What is the lowest common multiple of 3 and 1\/(9\/l + 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -26*s**2 - 11*s. Let u(v) = -5*v**2 - 2*v. Let d(p) = 11*u(p) - 2*z(p). Let b(t) = -4*t**2. Determine b(d(n)).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.5 + 38.5. Which is the nearest to z? (a) 0 (b) 0.2 (c) 4 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/96 and 131\/30.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*u - 13, 0 = -3*u - 3. Solve b - 8*g = -4*g, -3*g - 23 = q*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(425) + -1) + sqrt(425) - (3 + sqrt(425)*2))**2 + -3 + (sqrt(425) - (-2 + sqrt(425))) + 0 + 1.\nAnswer: -450*sqrt(17) + 10702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1023023231 (base 4) to base 15.\nAnswer: 6139e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -23402.\nAnswer: 1\/11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 13*p - 13. Let m(d) = -7*d**2 + 7*d + 7. Let x(u) = 3*k(u) + 5*m(u). Suppose 4*h = -15 + 27. Give x(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2994.026 - 2999. Let g = 0.026 - s. Which is the second biggest value? (a) g (b) -2\/3 (c) -1\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 13\/2*k**2 + 11*k + 0 + k**3. What is the units digit of p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 11*n + 10. Determine s(8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3 + 3*o**2 - 48*o + 60 = 0. Calculate o.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 54*p + 51*p = -8, 2*h + 7*p - 9 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - ((-3 - -2) + -2). Let k be ((-2)\/(-8))\/((-1)\/(-2)). Which is the smallest value? (a) o (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose -71*d + 9645 = 2119. What is the hundreds digit of (-5 - -4)\/(n - 213\/d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 5*z - 11*z**2 - 10*z - 2*z + 8*z.\nAnswer: -9*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171 + -146. What is w in -u*w**2 + 5*w - 51*w**2 - 10*w + 7*w = 0?\nAnswer: 0, 1\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from gvgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27846041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 2*x**2 - 7*x - 7. Let d be q(-5). Suppose 0 = 3*y + d - 576. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {y: 8, p: 1, r: 6, m: 3}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*-2*sqrt(55) + sqrt(495)\/sqrt(144))*1)\/(1*-1*sqrt(275)*-1))**2 + 2.\nAnswer: 2561\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -375127*a**2 + 3*a + 10977?\nAnswer: -750254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6370571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - 177228\/(-252) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**4 - 2*z**4 + 3*z**4)*(36 - 36 + 69*z).\nAnswer: -138*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/(d**(-5\/6)\/d))\/(d**0\/d*d**(-4\/11)))**4 assuming d is positive.\nAnswer: d**(686\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((57\/(-11))\/(-45*(-69)\/(-56925)))\/(1*-1)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -7*z + 13. Suppose 4*o = 4*p - o - z, -o - 5 = -2*p. Suppose -r + 4 = p. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + 4. Let v be h(-6). Is 0 - ((-1)\/v + (-50669)\/92) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -404 + 226. Let k = l + 423. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 10*j - 10*j - 5329*j**2 + 5554*j**2.\nAnswer: 225*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -10*t + 180. Give u(-1).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (18\/315)\/(1\/255*3)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9661 (base 11) in base 15?\nAnswer: 3bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -4, 337\/8 in ascending order.\nAnswer: -5, -4, 0.3, 337\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 0*s**2 - 39\/2*s**4 + 60*s + 48 + 0*s**3. Differentiate l(o) with respect to o.\nAnswer: -234*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 + 497 = 75*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let b = -5.2 - f. Let p = 109 + -109. What is the second biggest value in 2, b, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2201 is divided by 569?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/2187, 5, 2, -5, 3\/4, -0.1 in decreasing order.\nAnswer: 5, 2, 3\/4, -2\/2187, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*d - 2. Suppose 5*k - 5 - d = 0. Solve -5 = -w, 0 = 4*x - x + k*w - 22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4\/7, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46595\/3 + 15533. What is the nearest to -4 in 25, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*59 - (-1951 + 1940)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5.8, -1\/2, 46\/17, -4\/5 in increasing order.\nAnswer: -5.8, -4\/5, -1\/2, 0.5, 46\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.1 - -50.9. Let a = u - 65.00000099. Round a to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-90)*(-20)\/(-775)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18346789 a multiple of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 5*r**3 - 2*r**3 + (-r - 2*r + r)*(-2*r**2 + 0*r**2 + 0*r**2) + (-2*r - 2*r + 6*r)*(2 - 2 + 4*r**2) - 3*r**3 + 0*r**3 + 5*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 11) to base 15\nAnswer: ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 5.\nAnswer: -6, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 203\/((-33495)\/(-550))*(-1)\/(10\/(-24))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.088 * 867\nAnswer: 76.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5 - 5)*(-4*c - 2*c + 4*c) + (-24 + 9 + 6)*(-3*c + 2*c + 4*c).\nAnswer: -57*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045527518 rounded to 4 dps?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8.538737cm?\nAnswer: 85387370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/7 in -1\/6, 0.4, -2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 264.939196 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuzyfeffyjuuuu. Give prob of sequence uyju.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.3. Let t = 0.3 + 0.1. Let c = t + x. Sort 2\/19, 0.1, c in descending order.\nAnswer: 2\/19, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263 - 152. Suppose 0 = 2*p + p - k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -25*h**2 - 12*h + 12. Determine m(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i - 322 - 318 - 317 - 339 - 322 + 1618.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-319)\/(-22))\/(-29))\/((-5)\/400)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*-1 - (228\/2926)\/((-7)\/245)\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59 to 2 decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1628 = -69834*y + 69833*y + 44*i, -3*i + 111 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 81*b**4\/2 + 72*b - 152. Find the first derivative of y(f) wrt f.\nAnswer: 486*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 0*q - 3*q - 2. Let m be (-6*(-3 + 2))\/2. Calculate p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(448) + -2)*-5.\nAnswer: -40*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24442455034 - -1?\nAnswer: -24442455033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -21 + 66 - 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 9*m - 9. Let l be c(-8). Let q(x) be the second derivative of -x**4\/3 - x**3\/6 - 5*x. Determine q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200250 and 1623894?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssttsdqdsdststdst. Give prob of picking 1 t, 2 s, and 1 q.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -137.3.\nAnswer: 133.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 9*r**2 + 2*r - 3. Let s be f(7). Let h = -82 - s. Solve 0 = 2*z - h*z - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m*q**3 + 2*m*q**2*w**3 - m*q**2 - m*w**2 - 270*q**3*w**3 - q**2*w**3 + q**2*w**2 + 52*w wrt w.\nAnswer: 12*m*q**2 - 1620*q**3 - 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-5 + 132\/30).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 21. Let n be -3 - ((-1)\/5 - (-1341)\/(-120)). Let z = n - 57\/8. Which is the second biggest value? (a) h (b) -2\/19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (31 - (-3 - -23) - -9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1270 - 1245. Solve 24*m - a = 19*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39141580*f**2 - 25*f + 602963 wrt f.\nAnswer: -78283160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:14 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 7 = -f, f = 5. Suppose 0 = -2*n + 7 + s. Suppose 3*g + 0*z = z + 3, n = -2*g + 3*z. Solve 0 = -g*x + 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose -b*h - v = -293, -v + 58 = h - 16. Suppose -5*j + m = 42 - 228, -m = 2*j - h. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.04 from -29.4.\nAnswer: -28.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-228)\/(-4) + (-2 - (-8)\/(-8)). Let u be (81\/(-243))\/((-5)\/t). Factor -81\/5 + u*a - 1\/5*a**2.\nAnswer: -(a - 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 6 (c) -2 (d) -302 (e) -1\/4 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7565 divided by 445.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 22515 and 22514 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1099*p + 18 - 1099*p - 2*p**2 in the form c + k*p + z*p**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (131399\/(-161) - -8)\/((-2)\/14)?\nAnswer: 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(19110\/15470*(-2)\/(-14))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((56\/(-3))\/(-4))\/(954\/(-1431)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(1 + sqrt(1872) + 1 + -5 + (sqrt(91) - -3*(sqrt(91) + sqrt(91)*-2 + sqrt(91)))\/(sqrt(175) - sqrt(175)*-1)) + 4))**2.\nAnswer: -82764*sqrt(13) + 1725993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*b - 5, -1 = -5*j - 2*b + 6. Let u be 0 - -3*(-3)\/27. Sort 2, u, j in descending order.\nAnswer: 2, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 773177220 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10266, 20531, 30796?\nAnswer: 41061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*a + 39. Is -1 + a + 4\/4 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100074 - 0?\nAnswer: 100074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5916 is divided by 1449?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36079357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.068 - -0.168. Let l = 157 - 473\/3. What is the nearest to l in 1\/2, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*d**3*p + 9*a**2*d**3 + 4377*a**2*d**2 + 3*a**2*d*p - 6*a**2*p + 2*a - 113279*d**3*p - 2*p - 2 wrt d?\nAnswer: 6*a**2*p + 54*a**2 - 679674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*o**2 + 243*i*o**2 + o**2 - 576*o - 6 with respect to i.\nAnswer: 3*i**2*o**2 + 243*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 - -20 - (2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -56. Suppose -o = -f - 22. Calculate the least common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 times -0.71\nAnswer: -0.2343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -449436 - 4?\nAnswer: -449440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1547, -0.3, -1\/5 in decreasing order.\nAnswer: 1547, 0.2, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1566 + 1562. What is the closest to -5 in u, -3\/56, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2 + 2*v**2 - 4*v - 3*v**2 - 1. Suppose 412*c - 415*c - 46 = -4*u, -5*u + 41 = -c. Give g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/(-308)*(-21)\/(-66)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 2*d**2 - 2*d. Let s be l(3). Suppose 3*x - x = 4*y - 88, -5*y = s*x - 110. Let c = 44 - y. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-30) + 0 - (-274)\/10. Let v = q + -3. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 4) to base 10.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 411676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(40\/(-5))\/32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*x - 7 = 15, -5*x - 22 = -3*j. Suppose 12 = j*a + b - 27, -49 = -5*a - b. Suppose 0*h + a = h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t. What is n(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*i**3*n**4 + 391672*i**3*n**3 - 5*i**3*n**2 + 894559*i**3*n - i**2 + n wrt n.\nAnswer: -2184*i**3*n + 2350032*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*k + 10854 - 2229 + 1433 = -17658 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/(-1) + 30\/(-45). Let h(j) = 42*j**3 - 2*j**2 + 2*j - 2. What is the tens digit of h(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339149435*l - 577573541.\nAnswer: 339149435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45 + -20?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 149*q + 7. Let o(c) = 74*c + 3. Determine -2*a(b) + 5*o(b).\nAnswer: 72*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 9 + (-7 - 5) + 11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14938880 and 968?\nAnswer: 164327680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j - 5*n, -51 = -0*j - 4*j + 5*n. Suppose -4*v = -3*v - j. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -374, -394, -412, -428?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9 and (10 + -2)\/(2 - -3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -0.4. Let j = -11.4 - -11.9. What is the third biggest value in -4\/3, j, 1\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 7*g**2 + 8*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - -30. Let w(o) = 130*o**2 - 23*o - 23. Calculate the remainder when w(-1) is divided by d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:34 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 397, 456, 429?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/43170911 (b) 2\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318414 divided by 6.\nAnswer: 53069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(3\/(-1)) - (-31 + 16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -703, -561, -419?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4505*z - 4516*z + 165 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 7*f. Let s be d(7). Let v be -11 + 13 - (1 - s). Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h - 26*h = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/18 - 8\/(-3). Let q(n) be the third derivative of 0 + n**2 + 0*n**4 + 0*n**g + 1\/120*n**6 + 0*n + 0*n**5. Let q(v) = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:00 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -j + 6*j. Let r be (-10)\/j + (-4)\/(-14). Let b = -0.02 - -2.02. Sort b, r, -0.2 in ascending order.\nAnswer: -0.2, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 953 (base 10) to base 2.\nAnswer: 1110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 28 = -5*a + 3*t, 2*a + 1 = -3*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - 4*n**5 - n**5 - n**5 - n**5 + 3*n**5 + (n - 2*n + 3*n)*(-6*n**4 + 4*n**4 + 4*n**4) + 713*n**4 - 713*n**4 - 44*n**5.\nAnswer: -40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*i + 2*a, 7073*i - a - 16 = 7069*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**2 + 0*i**2 + 3086*i - 3086*i.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101.2 - 159.2. Put -2\/13, o, 0.2, 5 in ascending order.\nAnswer: o, -2\/13, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 8*p + 15. Let i be o(-8). Calculate the greatest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 10*p + 49 = 0. Solve -4 = -o - o, 4*o = j + p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -150637*u. Let i(r) = -2*r. Give i(m(k)).\nAnswer: 301274*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 446637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zoj when three letters picked without replacement from ozzzoojojo?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76 - -95) + -4 + -6 + 33.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x - 3402 = 217*x - 110*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 5. Let x be p(-7). Suppose a = -0*a. Let q = x - a. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 0.3 (b) 1 (c) 0 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158697 = 14141*d - 16660*d for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 11. Let d(q) = -2533335*q - 13. Let p be d(j). Suppose 4*m - p = w, 2*w = -3*m - 0*w + 11400006. What is m rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*(-11)\/33*-4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -30 - (11 - (-6 - -18) - -11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*v + 103*v - v**2 + 6*v**2 - 2*v**2 - 4*v**2 to u*v + q*v**2 + p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180460 and 3745.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 953 and 1139?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4\/10 + 14*r**3\/5 - 3*r**2\/10 - 41*r\/5 + 28\/5 = 0.\nAnswer: -28, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204977.\nAnswer: 71, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulluullllluulqlullul. What is prob of sequence lq?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284\/63 + -38\/9. Which is the biggest value? (a) 1 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 2*f. Let v be h(0). What is the units digit of (0 - v) + (5 + -4)*113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45306 is divided by 302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 10002021?\nAnswer: 10002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.183847 rounded to three dps?\nAnswer: 0.184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -3 (c) 5\/2 (d) 0.2 (e) -14\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 10, -2*t - 38*l + 7 - 3 = -40*l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/(p\/(p*(p\/p**7)\/p)))\/p*(p*p**(-11)*p)\/p*(p**(1\/4))**(-41\/4))**(2\/19) assuming p is positive.\nAnswer: p**(-281\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2863\/10 - -288. Find the common denominator of x and 19\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((4 + (sqrt(208)*-1 - sqrt(208) - sqrt(208) - sqrt(208)))**2 - (3 + (-1*sqrt(208))**2 + sqrt(208))).\nAnswer: -132*sqrt(13) + 3133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 2*d**3\/3 - 5*d**2 + 4*d. Let v be l(5). Calculate the highest common divisor of 50 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -9*t**2 - 3*t**2 + 3 + 11*t + 0 - 2*t**2. Let s(f) = 1 + 1 + 2*f + 5*f - 9*f**2. Give -5*h(p) + 8*s(p).\nAnswer: -2*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25652, -52062, -78472, -104882?\n\"Answer: -26410*i + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1413)\/(-72) - -15 - (-8420)\/160?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 0 + 0*r + 3\/4*r**4 + 1\/12*r**6 + 0*r**5 - 24*r**2 + 0*r**3. What is the second derivative of j(n) wrt n?\nAnswer: 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -25*g - 1411. Calculate d(-56).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137900391\/3487 - -39547. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let m(y) = 49*y**2 - 132*y. Give m(k(f)).\nAnswer: 196*f**4 + 264*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -30 + 65 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13769 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**2)\/t)\/t*t\/(t\/t**(-6))*(t*t**(-3\/7)*t)\/t**(-1\/13))**(5\/7) assuming t is positive.\nAnswer: t**(-3345\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 28 = 6*t. Let q(i) = -i**2 - 6*i - 5. Let f be q(t). Let b be (-3)\/f - 34\/40. Put b, 2, 4 in ascending order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -343*s - 1235. Let t be d(-4). What is the greatest common factor of 13563 and t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -605*o + 8. Let q(t) = -14*t. Calculate q(k(a)).\nAnswer: 8470*a - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**6\/360 - 7*k**5\/120 - k**4\/24 + k**3\/2 - 11*k**2 - k + 12. Let v(q) be the second derivative of i(q). What is v(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 801489 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40822052 by 7.\nAnswer: -40822052\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 134?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 7*s - 14 = 0. Suppose s*b = 12 - 8, d - 2*b + 14 = 0. Let g be 38 + -29 + d\/(-2). Solve 3*m + 1 + g = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - -7. Let i = 23 - m. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = 3*z, 1 = -2*z - 3*p - 10. Let y(i) = 8*i + 58. Let b be y(-7). Let r(s) = -5 - 1 + 2 + b*s - s. Let k(l) = -3*l + 9. Give z*k(u) - 9*r(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1855911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 330 + 235. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - -0.05. Let p = -3.9 - y. Let x = 3.01 - 0.01. Sort 4, x, p in descending order.\nAnswer: 4, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 21. Let f be -5 + -6*s\/(-4). Let o(b) = -2*b - 1. Let x(m) = -6*m - 3. Give f*o(k) + 3*x(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2095, 1, -4.3 in increasing order.\nAnswer: -4.3, 1, 2095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 251.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/76 and -21\/418?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -444*k - 1322*k**3 - 1331*k**3 + 2651*k**3 - 1221*k in the form x*k**2 + l*k**3 + b*k + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 30*p + 2*p**3 + 42*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-6)\/198)\/((-15)\/(-423)) and 91\/6.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 273089701 and 0.13.\nAnswer: 273089701.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 2*k - 2. Let x(y) = -y**2 + 8*y - 5. Let l = 15 - 8. Let z be x(l). What is a(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddl when four letters picked without replacement from {q: 1, d: 9, l: 1, a: 1, w: 5}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/((-3)\/(-6)). Let p(n) = -n**2 - 11*n - 1. Let i be p(-11). What is the units digit of 0 + (a + i - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 11:40 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137.8386639ms to weeks.\nAnswer: 0.00000022790784375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 0, -10, -2, -153, 24 in decreasing order.\nAnswer: 24, 3, 0, -2, -3, -10, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -273434 - 209\nAnswer: -273643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17163535 to the power of 1\/2, to the nearest integer?\nAnswer: 4143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**6\/300 + t**5\/150 + t**4\/12 + t**3\/5 + 21*t**2\/2 + t - 40. Let p(h) be the second derivative of x(h). Factor p(b).\nAnswer: -2*(b - 3)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3235*w + 1338. Is 156 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22097497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61729355?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 3*x + 5*x**2 + 12*x + 48*x + 10.\nAnswer: -2*x**3 + 5*x**2 + 57*x + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3\/2*v**2 + 2*v - 7. Let k be x(-1). Solve a + 2*z = k, -7*a - 4*z = -2*a - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.209342853 to five decimal places.\nAnswer: -0.20934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5522 - 5370. Let r(z) = -2*z + 7. Let h be r(-6). What is the highest common factor of b and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37961, -38014, -38111, -38258, -38461?\nAnswer: -38726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/(l*l**6*l))\/l*l**10)\/(l**20)**1 assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 606.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 + 14*d**3 - 28*d**2 + 16*d = 0. Calculate d.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -6, -44 in decreasing order.\nAnswer: 36, -6, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**18*w**21 assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -88*j**2 + 1\/40*j**6 + 0*j**3 + 0*j - 7\/20*j**5 + 0*j**4 + 0. Factor r(p).\nAnswer: 3*p**2*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1206 = -6*u + 1446. Suppose -3*p + u = 37. Find t, given that -2*t + 1\/4*t**5 - p - 1\/4*t**2 + 5\/4*t**4 + 7\/4*t**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 6. Let q be s(-5). Let h be 6\/21 + 24\/q. Let v(j) = 2*j + 12*j**h - 1 + 0*j - 11*j**2. What is v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3575\/7094 - 14\/3547. What is the nearest to k in -1\/9, 0.4, 0.5, 39?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and (8\/56 - 1)\/(3\/(-21)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3*h + 5)*(1 - 3 + 5 + h) in the form z + t*h + v*h**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -3 (b) 1 (c) -2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1018.8 + -187.8. Let z = v - 1350. Let g = z - -518.99999751. Round g to 7 decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 5*d = 16, -4*d = 2*z + 24. Is 13 a factor of z\/(-6) + (-815)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -146 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95265 plus 11940738?\nAnswer: 12036003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*v + 168*v = -168*v - 88 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28 - 0.02. Suppose a - 9*j + 13*j = 270, 0 = j + 2. Let k = a - 283. What is the second biggest value in k, -2\/5, h?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 813812966 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181\/78 - (1356\/(-12882))\/((-26)\/38)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**4 - 27*r**3 + 51*r**2 - 3*r - 60. Let k(w) = w**4 + w**3 - 2*w**2 + 2*w + 1. Let x(z) = 6*k(z) + s(z). Find v such that x(v) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1595134*p**2*s**3 + 96*p**2*s**2 - 5794*s**2 wrt s.\nAnswer: 9570804*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -757499*j**4 + 595185*j.\nAnswer: -9089988*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88500 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 608959951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 18*m - 22. Let a be g(-19). Let t be a\/9 - (-5 - (-413)\/84). What is the third smallest value in 3, 1\/2, -3, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/6657 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -6. Let g(d) = 5*d**2 + 3*d. Let a(b) = 6*b**2 + 4*b. Let j(m) = -3*a(m) + 4*g(m). Let c be j(1). Sort v, c, 0 in descending order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 7*o**2 - 47 + 97.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 h when three letters picked without replacement from {o: 5, f: 3, h: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*o + 27 = 30, 5*t + 41 = -4*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 83195 = 88865. Does 42 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -9063.\nAnswer: 5\/9063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -301*i + 24. Let z(b) = -99*b + 7. Give 2*m(s) - 7*z(s).\nAnswer: 91*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464.137 - -686.\nAnswer: 3150.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 506. Does 27 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -285958*u**2 - 2. Let w(l) = 9*l + 3. Calculate w(t(a)).\nAnswer: -2573622*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33, 23, 13, 3, -7?\n\"Answer: -10*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/18 - (5 + -7 + 3). Which is the second smallest value? (a) -2 (b) 1\/60 (c) -2\/3 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -81.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 + 5 = 4*n, 2*g - 6 = 2*n. Solve -g*i + 15 + 2 = l, 0 = -i + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*s + 39. Suppose 2*r - 2*k = -s, -5*r + k - 9 = -2*k. Let x = 0.9 + -0.6. Which is the third biggest value? (a) -0.4 (b) x (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264174 is divided by 4063.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 - 53055?\nAnswer: -52736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -640, -7443, -18782, -34657, -55068, -80015?\nAnswer: -109498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 112?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87294 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 - 3*t**2 + 4*t**2)*(-3 + 1 + 3)*(-1 - 3 + 5)*(-3 + 6 - 1).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 11 - 5. Let j(v) = 4*v**3 + 5*v**2 - 7*v + 9. Let k be j(d). Suppose 0 = n - 3*y - 456, 5*y - k = 4*n - 2120. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*i + 3*g = 590*i + 28, -5*i = -4*g + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3972 by 993.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48714.\nAnswer: 2, 3, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 652812 + -106542. Let n = 2075728 + x. Suppose n = 12*b - 2682002. Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from fhyhfsssfhsfyff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3, 323 in descending order.\nAnswer: 323, 2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let c = 84.8 - 85. What is the closest to m in -1, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-36.569001\nAnswer: -36.069001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48182123 a multiple of 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2134 - -232344403?\nAnswer: 232342214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 15*h + 576 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*x - 19, -5*x + 13 = 24*g - 26*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.98 - 18.98. What is the fourth smallest value in -6, -17, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-7)*7*(-4)\/6. Let t(q) = -9*q**2 + 10*q + 3 - 6*q**2 - 8*q**c + 34*q**2 - 10*q**2. Determine t(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)\/(8470\/(-10648) - (-6)\/11). What is the nearest to 2\/3 in f, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 17 (c) 0.5 (d) 3 (e) -103 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (182\/(-35) - -6)\/6.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6*(-9 + 436) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -927*f + 2935. Let y(d) = -10*d. Determine b(y(w)).\nAnswer: 9270*w + 2935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*x**6 + 63*x**2 - 63*x**6 - 23*x**6 wrt x.\nAnswer: -7440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 166?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203 and 43587?\nAnswer: 305109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17331972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -1) - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 3)*(-79369*t + 79369*t - 147*t**2 + 1) + (-t - t + 0*t)*(t + 0 + 0) to the form w + m*t**2 + u*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/52647 and 43\/263235.\nAnswer: 263235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-3)\/(-99))\/((-5)\/(-30))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 + 2*c**2 + 4*c + 3. Suppose -2*n - 26 = -18. List the prime factors of x(n).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12328423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5226 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5944 + 11975. List the prime factors of x.\nAnswer: 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3\/(-1) - -1). Suppose q = -4*l + 12, 0*m + 340 = 2*m - 4*l. Let u = -26 - -42. Calculate the highest common divisor of u and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 273900, 547796, 821692, 1095588, 1369484?\n\"Answer: 273896*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13233 - 10?\nAnswer: -13243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m = 2*a - 6, 2*m + 7*a - 18 = 0. Solve -10\/3*d + 25\/3 + 1\/3*d**m = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -362 + 373. Solve -3 = 12*l - v*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190936?\nAnswer: 2, 29, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -48. Let v(q) = q**3 - 15*q**2 + 2. Let k be v(t). Find the third derivative of -3*f**6 - k*f**6 + 14*f**2 - f**6 wrt f.\nAnswer: -720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5215 = 3*v, -2*v + x = -3865 + 379. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let k = 1 - m. Let i = 0.692 + -1.092. What is the second biggest value in k, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 468.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 354 + -120. Suppose -316*l + 1230 = -311*l. Let s = -220 + l. Calculate the highest common factor of h and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68887555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 4, 6713, -8, 1 in increasing order.\nAnswer: -8, -2, -0.1, 1, 4, 6713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**1*r))**2\/(((r\/(r**(2\/9)*r))\/r*r)\/((r\/(r**(-2\/13)*r))\/r)))**(-1\/28) assuming r is positive.\nAnswer: r**(541\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 4*y - 26, 4*d + 5*y + 0 = -12. Suppose -i - 75 = -d*i. Let g = 371\/5 - i. Which is the closest to -1\/2? (a) 2 (b) g (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3663083, 3663062, 3663027, 3662978, 3662915?\n\"Answer: -7*q**2 + 3663090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*x + 350*x + 419*x + 354*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 3. Let d be h(11). Suppose d*v + 3*v = 88. Solve 2*u - o - 24 = 3*o, -u - 2*o - v = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1167\/3*1. Suppose -t + 31 = -10*y. What is the remainder when y is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -2, -4, -286?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8250*q**2 - q + 4. Let m = -45 + 57. Let v be 15\/(-6)*m*4\/(-30). Let s be z(v). Round s to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 4. Let z(w) = w**3 + 2 + w + w + 2*w - 5*w**2. Determine z(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o - 361 + 3385 = 0 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327505?\nAnswer: 3, 5, 155167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262 + -26. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*l + 4 - 4, 3*b + 10 - 46 = -l for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - -43ca?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8975.904 centuries to millennia.\nAnswer: 897.5904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**6\/6 - i**5\/5 + i**4 + 4*i**3\/3 + 12. Factor r(n).\nAnswer: -n**2*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 9\/5, 2.9, -93, 3 in increasing order.\nAnswer: -93, 2\/9, 9\/5, 2.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -662 + 662. Sort 8, -2, 5, x in descending order.\nAnswer: 8, 5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 68?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d0 + 5?\nAnswer: 9d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4*1\/3)\/(7955\/(-333) - -24). Calculate the greatest common divisor of 426 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 821 divide 794127526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/56)\/((-95)\/114).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42059500 to the nearest 100000.\nAnswer: -42100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:22 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22912, -46084, -69268, -92470, -115696?\nAnswer: -138952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518528, -1037073, -1555620, -2074169, -2592720?\nAnswer: -3111273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -19438*t + 894143. Calculate o(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204, -399, -596, -795, -996?\n\"Answer: -y**2 - 192*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p + 2. Let a(s) = -s + 1. Let x(r) = 6*a(r) + m(r). Let j be 2\/(-9) - 8\/(-36). List the prime factors of x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -381, -1510, -3391, -6024, -9409, -13546, -18435?\n\"Answer: -376*i**2 - i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/2)*i*i)**(-5\/2))**(-6\/19) assuming i is positive.\nAnswer: i**(75\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -259*p. Let x(t) = 2*t**2. Give v(x(q)).\nAnswer: -518*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 16628.185 to the nearest one hundred.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22.88089653 + -143.88089872. Let p = r + 121. What is p rounded to 7 decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -172377308\nAnswer: -1\/43094327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l - 51*l + 22 = 0. Solve -13*f = -l*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 2*r)*(0 + 0 - r)*(-1 - 3 - 1).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-5)\/10. Let j = 17 - 12. What is the closest to r in -2\/5, -4, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 86.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1528 is divided by 88.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 4)*(-2*h**2 - h**2 + h**2) + 0 + 0 + h**2)*(69 + 283 + 70).\nAnswer: -1266*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 9*q**2 - 1. Let s be h(9). Let y be (s - -3)*(6 + -4). Suppose y*o - 20 + 4 = 0. Solve 7*x = o*x + 4*f + 3, -5*f = -5*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**11*j**4)\/(j**(-28)\/(j*j\/(j**(-7)*j))))**(-1\/15) assuming j is positive.\nAnswer: j**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 17*b**2 + 36*b + 37. Let c be g(19). What is the second biggest value in 2, c, -1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, k: 1, f: 4, v: 1, i: 3}. Give prob of sequence fkvl.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, f: 1, h: 3, u: 1}. Give prob of sequence ehhu.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19169.3 - 19169. What is the fifth smallest value in -1, 60, g, -0.1, 2\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 2, -1, 0 in increasing order.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -42. Solve -m*y - 2 = 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*p = -5*p + 32, 3*p = -12. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(9\/2)*(((c**(-3\/5)*c)\/c)\/c*c)\/c)**(-32)*((c*c**(-5\/2))\/c**(-3\/10))**(4\/17) assuming c is positive.\nAnswer: c**(13848\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 139*i + 77 + 243*i - 384*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 8*i + 22. Let t(p) = -7*p + 17. Give 4*n(u) - 5*t(u).\nAnswer: 4*u**2 + 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2685, 5184, 7683, 10182?\n\"Answer: 2499*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 9*s - 3*x, -5*s + 227 = 4*x + 202 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x. Let p(s) be the first derivative of 14 + 0*s + 1\/2*s**2. Give p(g(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14190191.\nAnswer: 14190191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+7.711039\nAnswer: 7.311039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4568\/60 - 28\/210?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 36 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 51. What is the hundreds digit of 223*-5*1\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-15)*y)\/(y\/y**8))**(-2\/9) assuming y is positive.\nAnswer: y**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + -0.2. Let o = 0.5 + -0.7. Let w = o - 1.8. Which is the smallest value? (a) w (b) g (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*p - 5*v - 1711 = 0, 3*v + 446 = -5*p + 391 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -543.972.\nAnswer: -542.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000894 to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 46 - (-30)\/(-5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - -0.23. Which is the biggest value? (a) -3\/4 (b) -1 (c) -2\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -242 and -260 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373999.39828 - 374009. Let o = f - -9.6. What is o rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 8. Let h(j) = j**3 - 5*j**2 + 2*j + 5. Let z be h(4). Let i = z + q. Calculate the remainder when i is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 110\/100*5 - 5\/(-2). Suppose 0 = p*o - 3*o - t - 63256, -3*t + 12648 = o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 981.6055 days?\nAnswer: 84810715200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*h + 10, -4*h + 20 = -a + 2*a. Suppose 121 = h*c + u, 7 + 18 = c + u. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -g - 3*g. List the prime factors of g\/(-2) - (1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**2 + 19*u - 2 - 5*u - 12*u + (-6*u**2 + 2*u**2 + 2*u**2)*(-2 + 3 + 0))*(u - u + 2*u) in the form a + r*u + o*u**2 + z*u**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 and -25\/2561?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + q = 9, -4*q = -5 - 7. Suppose -u*h - 22 = s, 2*h = -2*s - 22 - 26. Is (-766)\/(-10) - 10\/s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 443700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1\/10, 35.\nAnswer: -1\/3, -1\/10, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -723\/211?\nAnswer: -723\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)\/(3\/(-2)). Factor -d - 2\/3*n - 1\/6*n**2.\nAnswer: -(n + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a + 4. Let k(u) = -13*u - 7. Give -3*k(r) - 5*w(r).\nAnswer: 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-234)*1\/1. Which is the closest to h? (a) 0.03 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + (-1265)\/(-70) + (-30)\/(-70) and 49\/244?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 115\/(-46) + (-146)\/(-4). Differentiate -h - 61 - l*h**2 - 45 + 4 wrt h.\nAnswer: -68*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 9. Let f be c(7). Let k = 60 + -59. Suppose -k = -2*s + s. Put f, s, 5 in increasing order.\nAnswer: f, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:00 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 15. Suppose 9*q - 6*q = -18*q + 3570. Sort t, q, 5.\nAnswer: t, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4719))\/(5*sqrt(3)*2).\nAnswer: 11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219565149\/651805 + -3\/93115. Let g = 339 + s. Find the common denominator of -31\/11 and g.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1827905 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 62825606?\nAnswer: 188476818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) 344.608 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -7 - 20 - (-6 + -18 + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, k: 3}. What is prob of picking 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -65, -155, -281, -443, -641, -875?\n\"Answer: -18*d**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n + 36. Let h = n + -4. Suppose -k = k - h. Is k at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 14*i**2 + 13*i - 7. Let a be 1 + 3 + -1 + (-684)\/38. Is 3 a factor of s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -258, -254, -238, -204, -146, -58, 66, 232?\n\"Answer: y**3 - 3*y - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15167220833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 0, 4*b - k + 52 = 37 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261895222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70710614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024030895.\nAnswer: 5, 204806179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*j - 9 = 0, 3*x - 7*x + 8 = 2*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 276 - -12. What is the greatest common divisor of 234 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + 5 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 1731, 4369, 8125, 13035?\nAnswer: 19135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -33*v**2 + v + 1. Let o be r(1). Let m = 35 + o. Sort 5, m, -3 in decreasing order.\nAnswer: 5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 7*q + 2 = 0. Suppose -q*z = -2*f + 18, 0*f = -5*f + 20. Let d = -0.2 - -0.3. What is the nearest to 0.1 in d, z, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101908989 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 + 269. Suppose -5*y + 30 = -0*y. Let u(c) = -y*c**2 + k*c - 67*c. Let t(q) = -q. Give t(u(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2200*m + 2196*m - 10*v - 86, 3*m - 4*v - 16 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*h + 264, 0 = -3*t + 3*h + 271 + 503. Do t and 249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(200))\/(3*sqrt(100)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6159 - -0.032.\nAnswer: 6159.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2911204?\nAnswer: 2, 181, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + 3*a + 1 - 11*a - 2 - a**2 in the form f + v*a**2 + m*a**3 + c*a and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 427 - 348. Find the first derivative of -166*t + b*t + 62*t + 307 wrt t.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 >= -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 53*d**2 + 9*d - 10. Let a be i(1). What is the greatest common factor of 221 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7906 - -7902. Let t be 6*3\/14 - 1. Which is the smallest value? (a) f (b) t (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdxsyccxddysysxd. Give prob of picking 1 s and 1 y.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + ((sqrt(832)*1 + -4 - sqrt(832)) + sqrt(832))**2 + (sqrt(832)*1*5)**2 + sqrt(832) + 5*(sqrt(832) + 3 + sqrt(832)) + 4).\nAnswer: -130008 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1990 is divided by 170?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3 + 2 + 25 - 17*q. Is h(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -83. Suppose -10 - x = -5*l. Solve 3*s + t = -l, s + 2*t + 22 = -2*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*k = 12 + 2, -6 = 291*o - 294*o + 3*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*u - 105 = -6*l, 0 = 3*l + 4*u - 140. Suppose -3*q - 10 - 8 = -a, 4*q + l = 2*a. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -4 (c) -1\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1752\/9*(7 + 24254). Let a = 56557169\/12 - p. Let c = 9723 + a. Calculate the common denominator of -41\/10 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2. Let g(x) = 35*x**2 + 51*x**2 - 684*x**2. Give d(g(s)).\nAnswer: 2503228*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30836*z - 69*z**3 + 30836*z + (z - 4*z + 2*z)*(0*z**2 - 4*z**2 + 5*z**2) to y + i*z**2 + s*z + f*z**3 and give f.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 200943310 to the power of 1\/2, to the nearest integer?\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {y: 3, n: 13, o: 3, c: 1}?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 133876 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 15436\nAnswer: -1\/3859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/21 (c) -2\/45 (d) 0.2 (e) 3 (f) -105 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 377 - 384 = 0, w = 2*t + 33. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/28 - (-1085)\/1960. Let w = 2.25 - 1.75. Let s = 0.01 - -0.79. What is the biggest value in w, -2, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.3 (b) 3\/8 (c) 729 (d) -2179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 74.49234 centimeters?\nAnswer: 744.9234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37555 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -208, -416, -626, -838, -1052, -1268, -1486?\n\"Answer: -r**2 - 205*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*x + x - 5*u, -5 = -4*x + u. Suppose 4*c + 6 = 5*w + 2*c, -2*w + c + 2 = x. Suppose -w*d - l = -28 + 2, -5*l = -10. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1773 and 780?\nAnswer: 460980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1074)\/(-45) + 38\/285. Let v = 17 - 10. Find x such that -8*x**2 - 6*x - v*x**2 - m + 0*x**2 + 18*x**2 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1994174605?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/19992 and 157\/142968.\nAnswer: 17013192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1395190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18020 - 4*l - 247*l**4 + 18033 + 13*l + 64*l**4 wrt l.\nAnswer: -2196*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 1, h: 7, x: 3, f: 1}. What is prob of picking 2 x?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 96*l**3 + 0*l**3 + 3*l**2 + 0*l.\nAnswer: 96*l**3 + 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y**2 + 5*y - 4. Let h be m(-1). Suppose 0 = -2*f - 3*t + 372, h*f = -2*t + 196 + 178. What is the highest common factor of 54 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 51*y - 2817 - 2726. Calculate the remainder when 2807 is divided by y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23d01 (base 15) to base 14.\nAnswer: -2d925","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - g + 2. Let h(i) = -67*i**2 - 4*i + 4. Let s(f) = -2*a(f) + h(f). Let u(l) = -2*l. Give s(u(c)).\nAnswer: -260*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 730929 and 9?\nAnswer: 2192787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b**2 + 40*b + 10. Let m be t(7). Sort -2, -8, m.\nAnswer: -8, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 4:03 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 1546208.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3231*g + 3203*g + 12388*g to the form k*g + s and give k.\nAnswer: 18822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(187)*4)\/(sqrt(11) - (sqrt(539) + -4*sqrt(539)))*-5)**2.\nAnswer: 15300\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 797043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e (base 16) in base 4?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, -84, -275, -552, -921, -1388, -1959, -2640?\nAnswer: -3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14867 greater than 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 25637000 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 12*y - 91. Let w be g(6). Suppose -w*a + 22*a = 5*d, -5*a + 2*d - 3 = 0. Put a, -3, 2, 4 in descending order.\nAnswer: 4, 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 11*z + 70. Let w = 3 + -8. Let f be (w\/5)\/(2\/z*1). Which is smaller: f or -13\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(7)))**2 - sqrt(152)\/sqrt(32)) + (sqrt(304)*-2 - (-2 + sqrt(171)))**2.\nAnswer: -89*sqrt(19)\/2 + 2322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/22692 and -10\/17019.\nAnswer: 68076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-20)\/(-4) + -5. Suppose 0 = -d*x + 125 + 71. Calculate the greatest common divisor of x and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*p - 10 = 3*j, j + 3*p = 8. Suppose -5*h = j*d - 1790, -8*h + 6*h - 724 = -2*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*r + 3427 - 1635 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.2349159634 - 0.5.\nAnswer: -13.7349159634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168102 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -205554 plus 0?\nAnswer: -205554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 763033183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2. Let h(a) = 6 + 6*a**2 - a**2 - 6. Calculate h(m(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(-1\/7)*u)*u)\/u**6)\/(u**(-2)*(u**(-1)*u*u)\/u) assuming u is positive.\nAnswer: u**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100101 - -1001101011?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 1. Let x be j(-1). Let v(d) = 1. Let b(z) = z - 4. Suppose 55*o = 59*o - 36. Suppose -39 - o = 4*p. Calculate p*v(n) + x*b(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**3 + 3. Let i(c) = -15*c**3 - 5. Determine 4*i(w) + 9*q(w).\nAnswer: 3*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {m: 5, q: 1, p: 1, y: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3192 in -1, -10, -0.4, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 13. Let v = t + 9. Suppose 2*d - 1 = -2*n + 9, -5*d + 5*n + 55 = 0. Solve -v*p = -p - d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 41?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-29430)\/(-1980)*1\/(-3) and -103\/968?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddjddmddmdd. Give prob of picking 2 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1889 + 2?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z**28)\/(z**(3\/10)*z**(-1\/15)) assuming z is positive.\nAnswer: z**(-937\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 9*p + 10*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-4 + 4 - 3*c)*(c**3 + 0*c + 0*c).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 6) to base 10.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8198.028 centimeters in micrometers?\nAnswer: 81980280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11887, -23799, -35725, -47671, -59643, -71647, -83689?\nAnswer: -95775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1\/7 - (-996)\/84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1060 + -1059.8. Which is the fifth biggest value? (a) 7 (b) 1\/3 (c) 1 (d) h (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-88)\/24 + 7*-1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 6*m + 39. Let f = m + -13. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/5 + (-457050)\/(-138500)\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 17, j: 3}. What is prob of picking 2 o and 1 j?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 + 107. Which is the third biggest value? (a) 0 (b) d (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 2*k - 5. Let b(s) = 2*s + 6 - 3*s**2 + s**2 + 4*s**2. Suppose d = 137*d + 14*d - 780 - 120. Determine d*p(f) + 5*b(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45416317 - -0.59.\nAnswer: -45416316.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x*x\/(x\/(x\/x**(-1\/3)))*(x*x*x\/(x*x**(3\/7)*x)*x)\/(x*x\/((x**0\/x)\/x)*x))\/((x**0\/x*x)**43*x\/x**2*(x*x\/(x**(2\/9)*x))\/x) assuming x is positive.\nAnswer: x**(8\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -230, 89, 4 in descending order.\nAnswer: 89, 4, -15, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -364, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - -8) + 8 + (41 - 53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/101467206 and 9?\nAnswer: 101467206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 182, 213, 244, 281, 330, 397, 488?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 464. Let n(s) = 5*s - 465. Give 4*n(h) - 3*o(h).\nAnswer: -h - 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -775*m**3 - 944*m**3 - 1041*m**2 + 213*m**3 + 229*m**3 wrt m?\nAnswer: -7662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h + 246. Let y be k(-20). Solve -12 = 30*u - y*u + 2*j, -3*j + 9 = -3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 246. Solve f - 5 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390755073.\nAnswer: 3, 23, 757, 7481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.544 and 4.9332.\nAnswer: -2.6836608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-10) + (-896510037)\/(-370). What is d rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 41 = 9*k + 73 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)\/(sqrt(11)*3))\/sqrt(1152) + 1 + -3 + 2.\nAnswer: sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -218906 at most as big as -219042?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (40 - 57) + 62?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -181\/91 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 4*q**5\/25 - 14*q**4 - 928*q**3\/5 - 484*q**2 + 1580*q - 3998. Find x, given that a(x) = 0.\nAnswer: -5, 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 9) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.3208 to 1 decimal place.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 162 - -4025919672.\nAnswer: 4025919834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -1\/5*l**5 + 0*l**4 + 0*l + 0*l**2 - 1 - 1\/3*l**3. Find the third derivative of n(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 15. What is the third derivative of -4*i**g - 5*i**2 + 5*i**2 - 9*i**4 - 2*i**2 wrt i?\nAnswer: -216*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124886141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 47?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 90 = -3*i - n, n - 3 = 0. Let g = 28 - i. Solve g = -10*m + 5*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-315) + (-1254)\/210.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, s: 2}. What is prob of picking 3 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n = -4*s - 6*n + 478, 170 = 4*s - 5*n + 223 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72512008*r**3 + 12395*r**2 + 230*r - 1.\nAnswer: -435072048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 9. Let i = q - -1. What is the remainder when 28 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -13 - (-50 - -22) - -29.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182690024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 + 11 + 22*l**4 + 5 wrt l.\nAnswer: 88*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(3\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000110010 + 101?\nAnswer: -1001000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - -2 - ((3 - 3) + -1). Calculate the highest common factor of r and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(36))\/(sqrt(3) + sqrt(432)*-1)*6)**2.\nAnswer: 6912\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -11. Let j = -7 + 6.5. Put h, j, -2\/7 in increasing order.\nAnswer: h, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48983 at least as big as -54332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**4 + 3868*s**2 + 22416*s wrt s.\nAnswer: 36*s**2 + 7736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4875)\/650*(-24)\/(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 766 + -17615\/23. Let p = -61\/115 + j. Let z(o) = -o**3 + 6*o**2 + o - 5. Let h be z(6). Is p less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -292*p**3 - 17. Let j(n) = 97*n**3 + 6. Determine 17*j(c) + 6*y(c).\nAnswer: -103*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 107. Suppose u = -3*t + l + 89, -l - 109 - 40 = -5*t. Calculate the remainder when 116 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13229, 13228, 13227, 13226, 13225, 13224?\nAnswer: 13223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {q: 1, h: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + (-40)\/(-12). Let p = 14 + v. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3989529676.\nAnswer: 2, 11, 23, 171401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(6\/7)*y**(2\/31))\/(y**(-2\/13)*y*y**(3\/17)*y))**46 assuming y is positive.\nAnswer: y**(-2428754\/47957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(29976\/28727)\/(2\/23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/12397 and -5\/14.\nAnswer: 24794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13738175 is divided by 576?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 - 5775*k**2 - 57987*k - 121905 = 0. Calculate k.\nAnswer: -7, -3, 1935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 3 (b) -2\/5 (c) -4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/28 and -81\/76.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Suppose -2*y - i*y = -75. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71950738 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2855568 (base 9) to base 2\nAnswer: 101111111110101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 5*q**2 - 6*q**2 + (-5 + 2 + 2)*(4*q**2 - q**2 - 4*q**2).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*4*3\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*b - 66421 = 3404 for b.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2136 + 3905. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344041 and 67646.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420035 (base 6) in base 8?\nAnswer: 101667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a**2 - 5*a - 2. Let u be l(6). Let b = 6 - u. Suppose 0 = -3*s - b*s + 150. Calculate the highest common divisor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (270\/(-2))\/(3\/(-2)). Let w = 149 - a. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2 + 4. Solve -15 = -w*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-8 - (-10 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.18923 minutes to microseconds.\nAnswer: 3131353800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2. Let z(v) = 5*v. Let y(k) = 5*k. Let q(u) = 5*y(u) - 6*z(u). Give q(f(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 811668, 811676, 811690, 811710, 811736, 811768, 811806?\n\"Answer: 3*d**2 - d + 811666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 266, 400, 544, 698, 862, 1036?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, 1\/3, -1, 29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 4*f + 1. Let z be p(-4). Let q(c) = -c**3 - 21*c**2 + 309*c - 14. Let a be q(-31). What is the greatest common factor of a and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -1184, 2, -158 in descending order.\nAnswer: 5, 2, -1, -158, -1184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -3.3, 6956, -0.2?\nAnswer: 6956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -3*r - 5*g + 20, 0 = -3*r - g + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/15 + 112694*i\/15 + 112664 = 0.\nAnswer: -56332, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 m when two letters picked without replacement from qme.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224789.3 + -224789. Let q = 1 - -4. Suppose -2*u - u - 1 = -2*g, -g = 1. Which is the smallest value? (a) q (b) r (c) 2\/5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(-22) + (-41 - 1). Let d = -60 - c. Are d and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.412185033 rounded to two decimal places?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67565567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54\/7*d + 3\/7*d**2 + 243\/7.\nAnswer: 3*(d - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -0.25, -1.4, 5.7?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -3?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q + 2*z - 5, -5*q + 17 = -z. Let c = -5 - -17. Solve q*m - 2*m + 4*p = -12, c = 4*m - p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-3*r - 2*r + 4*r)*((-3 + 4 + 0)*(0*r - r - 3*r) - 2*r + r - r) to the form h*r**2 + s*r + u and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 11*k + 540 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/359 - 732\/2513. What is the third smallest value in w, 0.2, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2344539030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 251*j**2 - 612*j + 337. Calculate z(-123).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/184 and -4\/11?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13750, 13866, 14000, 14164, 14370?\nAnswer: 14630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-5) + (-2)\/5. Let x(j) = -12*j + 19*j**y - 8 - 20*j**2 + 4*j. Let c be x(-6). Solve 3*v = -v - c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 370*d**4 - 69787*d**3 - d**2 + 32861838*d + 4.\nAnswer: 4440*d**2 - 418722*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4136470 to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 24. Let f be i(7). Determine w so that 34*w**4 - 88*w**5 + 98*w**5 + 213*w**3 + 219*w**3 + 448*w**2 - 256*w + 82*w**f = 0.\nAnswer: -4, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvwjcicvjcci. What is prob of sequence cic?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1117, -1\/2, 3, 2\/15, 2\/11 in ascending order.\nAnswer: -1\/2, -1\/1117, 2\/15, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*p + 11*p - 83028 = 778*p + 1071*p for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/9)*n\/(n\/(n\/n**(-1\/7)*n*n))*n)**(-24) assuming n is positive.\nAnswer: n**(-2704\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -119. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 676*v. Let q(l) = 3*l. Determine x(q(z)).\nAnswer: 2028*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1193 - -2012. What are the prime factors of b?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-8)*25\/(-30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19174, -108, 51638, 152402, 318522?\n\"Answer: 2723*o**3 + 2*o**2 - o - 21898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*l + 4*t + 1, -6 = -5*l - 3*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:14 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 174847358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.44028.\nAnswer: 0.44028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/4, -0.7, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -125468.99890749 + 125469. Round c to five dps.\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, y: 1, c: 6, k: 2, q: 3}. What is prob of picking 2 c and 1 y?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419694, -419693, -419692?\nAnswer: -419691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*61594818\nAnswer: -369568908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 415 = -0*t. Let p = 241 + t. Suppose 3*g + 3*r = 114, -r + 3*r = 4*g - p. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245 + -97. Let p = 151 - h. What is the second biggest value in p, 39, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 3. Let t be z(-5). Suppose -5*x - t = 7. Is 3 + x\/((-12)\/297) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -565, -1299, -2339, -3691, -5361?\nAnswer: -7355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6871 (b) -8 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/18 - 0 - (-30)\/(-135)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 104.\nAnswer: -3\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 289*x**2 - 99*x - 6590. Give w(145).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625562.4km in millimeters?\nAnswer: 625562400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let x(t) = 52625 + 9*t - 52625. Determine 5*d(c) + x(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let g be (-9 - -8)\/(2\/86). Let f = g - -45. Let i(l) = -l**2 - 9*l**2 - 8*l**f - 3*l**2. Calculate i(o(u)).\nAnswer: -21*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.4, 420, -0.1, -0.08 in increasing order.\nAnswer: -0.4, -0.3, -0.1, -0.08, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:11 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 4*q**2 + 7*q**2)*(-3*q + q + 5*q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s. Let m(v) = 6*v. Let u(o) = -4*a(o) - m(o). Let w(r) be the second derivative of r**4\/12 + r**3\/6 + 19*r - 2. What is -u(g) - 2*w(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -11*j**2\/2 + 40. Let z(o) = 2*o. Let g(b) = 6*u(b) + 34*z(b). Let r(l) = 16*l. Determine r(g(x)).\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Let t be 3*-1 - (18701 - r). What is t rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x + 5*x - x. Let v be -18*(16\/96)\/(1\/(-2)). Determine l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*h**2 + 0 + 0*h = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 4, -254, 0 in ascending order.\nAnswer: -254, 0, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than 2842\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - -2.44. Let h = y - 24.5. Let v = -25.7 - h. What is v rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -583965074 divided by 4\nAnswer: -291982537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -40*c - 79*c**2 + 2*c**2 - 23*c**2 + 25*c**5 + 34*c**3 - 4*c**3 + 85*c**4 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1874 - -1879. What is the nearest to -175 in 4, -0.2, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 510 - 1254*z**3 - 510.\nAnswer: -1254*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 565*v + 5. Suppose 4*h = -2*h + 24. Let d be w(h). Is d\/9 + 14\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e378e - 3?\nAnswer: -e3792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 203177, 203704, 204583, 205814, 207397, 209332?\n\"Answer: 176*x**2 - x + 203002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/4 - 16803*p**4\/4 - 2380722*p**3 + 11016159828*p**2 + 88242478848*p + 176560066560 = 0. What is p?\nAnswer: -3424, -4, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 + 2. Let p(c) be the first derivative of 14*c**3\/3 + 6*c - 4. Determine 4*p(b) - 11*z(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -6 - -10 - 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**4*r - 988*i**2*r**2 + 16056*r**2 wrt i.\nAnswer: 4*i**3*r - 1976*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -500, -559, -618, -677, -736, -795?\n\"Answer: -59*y - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -543b (base 12) to base 13.\nAnswer: -42a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:47 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*a - 8*a. Calculate the remainder when a is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1244, -212, 0, -3 in ascending order.\nAnswer: -1244, -212, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211022111 + 2?\nAnswer: 211022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 181, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eea when three letters picked without replacement from {h: 1, e: 2, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 86, 148?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -94*y**6\/5 + 305*y**3\/6 - 43*y. What is the second derivative of p(b) wrt b?\nAnswer: -6768*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8932?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 10 - 3 + 7 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2493870?\nAnswer: 2, 3, 5, 97, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 29*q + 63703 = -25*q, -5*b = 5*q - 63705. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2235 - -4579. Solve 6813*v - b*v + 7 = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6869195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 6*o - 24 = g, g = o - 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 11 + 4*n - 5*n - 2*n + n**2. Let s be h(7). Suppose -s*o + 0*o = 0. Let k(q) = -q - 2. Give k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 11)\/(5 + -6). What is the units digit of 546\/10 - g\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s - 2 + 2*s - 4*s. Let i be c(5). Solve -i*a = a - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-15\/7))\/(x\/(x\/(x**(1\/17)\/x))) assuming x is positive.\nAnswer: x**(-24\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 11. Let o = 307.3 + -306.3. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {m: 5, g: 3, v: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:11 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t + 3. Give z(-12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 122981 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-416)\/(-65) - 6)\/((-2)\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1078194300 divided by -6.\nAnswer: 179699050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*l - 84*l - 836 = 160*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 32. Let a = 5 - 4.6. What is the second biggest value in a, o, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 6*d**2 + 8*d - 7. Let l be 20\/(-6)*12\/5. Let n be s(l). Suppose n = 4*f - 139. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17416063 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - (-3 + 4 + 6 - (8 + 10 - 15))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-6)*(1 - 3). Let t = 5 - 2. Suppose -5 - 3 = -4*h. Solve 0 = -h*d + x + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 10*s + 23. Let f be u(-10). Suppose -2*m = 5*g - 1003, 2*m - 998 = f*g - 27*g. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 383270203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*w - 301.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.41, 0.09, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 = 2*v, -12 = 3*o - 2*o + 3*v. Solve o = -i - 13 + 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 2. Let d be 1\/x*(-1 - -1). Let k(v) = v**3 + 6*v**2 + 6*v - 7. Let l be k(-4). Solve 5*z + 2 = 2*s, -5*s + 3*z - l - 13 = d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 53*z**3 + 3*z - 9. Let w(j) = 27*j**3 + j - 4. Calculate -2*a(t) + 5*w(t).\nAnswer: 29*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 359 - 7?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 29*q**9\/84 + 3833*q**5\/60 + 51*q**2 - 10*q. What is the third derivative of n(d) wrt d?\nAnswer: 20880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/2 + -12. Find j, given that p*j + 1\/4*j**2 + 1\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/27 - (-143)\/99. Let u be o\/(-4) - (-2 - 1\/4). Calculate the greatest common factor of 7 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(25)\/sqrt(5) - (sqrt(20) + 0)) + -1 - (1*sqrt(980))\/(sqrt(4) - (-2*sqrt(24))\/sqrt(6))) + 5)**2.\nAnswer: -140*sqrt(5)\/3 + 941\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9785 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -49 + (9 - 0) - (-1018)\/(-78).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0802207895 rounded to four decimal places?\nAnswer: 0.0802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*v**5 - 40*v**5 - 33*v**5 + (13*v**2 - 17*v**2 - 17*v**2)*(3*v**3 - 2*v**3 + v**3).\nAnswer: -56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1340 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 + 3*j - 13. Let d(t) = 19*t**2 - 8*t + 40. Let q(k) = -3*d(k) - 8*v(k). What is the first derivative of q(c) wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -19*v. Let d(s) = s. Let o(u) be the third derivative of u**4\/6 + 11*u**2. Let l(g) = -18*d(g) + 4*o(g). Give l(r(t)).\nAnswer: 38*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -888?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88611 is divided by 11071.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 5*d - 16, -3*t - 11*d + 9 = -15*d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 34*p**2 - 5*p - 19. Let k be n(-4). Let g = k + -533. What is the remainder when 41 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*s**4 - 3*f*s**3 - 711*f + 42953*s**4 + s**3 - 2*s**2 - 11*s wrt s.\nAnswer: -48*f*s - 18*f + 1030872*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3)\/g)\/(g**(-6)\/g*g)*g*g**5*g\/g**(2\/13)*((g**2)**(-25))**3 assuming g is positive.\nAnswer: g**(-1835\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 47*o**2 - 297*o + 674. Give r(40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -3*o + i + i - 1, 12*o - 14*o = 10*i - 86 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4956*-2.6.\nAnswer: 12885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1224 - 105?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1247)\/86 - -15 - (-21)\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.17 + -1.8. Let q = s + -4.57. Let m = -5 - q. What is the third smallest value in 3, 5\/3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139 + 2*h**2 + 10*h - 66*h + 95 + 158.\nAnswer: 2*(h - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115\/19 - 555\/76. Let j = -0.7 + 4.7. What is the closest to j in y, 2, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 138*s**3 - 7 - 3117*s**2 + 3117*s**2 + 14.\nAnswer: -138*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 516 = -0*n. Calculate the remainder when 125 is divided by n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35966 at most 35972?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/6 - 7771*h**2\/2 + 420363*h\/2 - 5678181\/2 = 0.\nAnswer: -23367, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104 - -1927829.\nAnswer: 1927933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*x + 20. Let o be (-43)\/((-602)\/196) - 10. Solve -o*q - q = -x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -3, -4\/381, -19\/7, 0.7?\nAnswer: -4\/381","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-64)*-2*-4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 553934 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d + 49. Let b be l(16). Let n(h) = h**2 + 1. Let k(w) = 8*w**2 + 8. What is b*k(o) - 6*n(o)?\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -923, -1260, -1567, -1844, -2091?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00199914 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -49895, -46174, -39969, -31274, -20083, -6390, 9811?\n\"Answer: l**3 + 1236*l**2 + 6*l - 51138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 + 4*k**3 - 6*k**3 - k**2 + k**2 + k**3 + (-4*k - 3*k + 5*k)*(0 - k**2 + 0) + (2*k**2 - k**2 - 2*k**2)*(3 - 3 + k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 12*o - 152. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28444 is divided by 157?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -15467 * -1\nAnswer: 15467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103542 - 103544. Let z = -2 + 0. Let p = z - -1. Sort 0.4, p, b, -0.3.\nAnswer: b, p, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 111, 0.04, 1\/3, 11\/4 in increasing order.\nAnswer: -3\/2, 0.04, 1\/3, 11\/4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7479797 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 - 0.3. Let m = -425 - -264. Let q = 157 + m. Which is the biggest value? (a) 6 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 0*g**2 + 2*g**2)*(-3*g**3 - 6*g**3 - 2*g**3 + 3*g**3 + g**3 - 3*g**3 + (6*g**2 + 5*g**2 - 7*g**2)*(-g + 0*g + 3*g)).\nAnswer: -2*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4861 - g - g - 4861. Let z(n) = -n**2 - n - 1. Let s(q) = 4*q + 4. Let f(l) = -s(l) - 4*z(l). Calculate o(f(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**3 - 23 + 4*s**3 + 17 wrt s?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713223 rounded to the nearest 10000?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from gigigii.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -55. What is the smallest common multiple of j and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.103 take away -603?\nAnswer: 604.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*f - 22 = -22. Let h = 7\/5 - -1\/10. What is the third biggest value in f, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 11:01 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -57*u. Let y(s) = s + 6. Let j(f) = 0 + 14 + 1146*f - 1144*f. Let g(t) = -6*j(t) + 14*y(t). Determine r(g(m)).\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - x - 33 = 0, 1 = -2*x + x. Let y be (-2)\/4*(-8 - f). Let r = 3 - y. Sort 1, 5, r in increasing order.\nAnswer: 1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 404320 and 3600975.\nAnswer: 115231200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -488.9 - -489. Which is the nearest to y? (a) 0 (b) 4 (c) -1 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Suppose o*g = 6*g + 2*n - 1, g + 3 = -4*n. Is -3 + 27 + g + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dddddydhhhdddhhddh?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 + -13 + -774 + 705?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 39 - 1219 = 0. Let b = q - -43. Let k be (-3000)\/(1 + b\/(-630)). What is k rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (210\/(399\/19))\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c - 5. Suppose 0*g + 1368 = c*g. Is g - 4\/(-2) - 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1130452 to four decimal places.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffaaaaaffaaaaafa.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**2 + 11*w**2 - 84 - 31 + 6.\nAnswer: -3*w**2 - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -107*c - 520. Determine g(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**1)\/s)\/((s*s**3*s)\/s))\/(s**1)**15)\/((s\/((s*s**(-1\/3)*s)\/s)*s*s)**(-26))**(-14) assuming s is positive.\nAnswer: s**(-2602\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9915866?\nAnswer: 2, 67, 73999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(110)\/sqrt(90).\nAnswer: -3 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 9 - 747*q + 10 - 35 to g*q + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-96)\/(-20)*215 - (8 + -1). Calculate the greatest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u + 39. Let z be p(11). Suppose 71 = 3*m - z. Suppose -9286 = 119*g - m*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72909.\nAnswer: 3, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 4:48 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 5\/3 (b) -635\/4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 6*q**2 + 7*q + 1. Let p(d) be the second derivative of -d**4\/12 + d**3\/6 - 9*d. Let k be (2 - (-84)\/(-39)) + 45\/39. What is k*g(l) - 6*p(l)?\nAnswer: l**3 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6223432 rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01876 rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 108. Let o = -88.999145 - d. Round o to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -31 + 40*c - 72*c + 36*c + 31. Let r(x) = 43*x - 2. Determine r(l(v)).\nAnswer: 172*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4 = 4*n, -3*n - 3 = c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -0.1 (c) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y**(-4)*y))\/y)\/y)\/y**15)\/((y**4\/y)\/y**(-5)) assuming y is positive.\nAnswer: y**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18577 = -9227*x + 9239*x - 24671. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 - 7. Let b(v) = -1. Let r(y) = 6*b(y) - m(y). Suppose -3*q + 3644*o - 3648*o + 15 = 0, 5*q + 1 = 2*o. What is r(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4769 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 118, -0.5, -18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 31*y**2 + 13*y + 134. Let s be m(31). Let l = s + -427. What is the highest common factor of l and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1846 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 264, 233, 202, 171?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 11 + -2 + (0 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1416, -2925, -4508, -6165?\nAnswer: -7896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010121 (base 3) in base 6?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14048000396955.4 and -4?\nAnswer: 14048000396951.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9142*f**3 - 49*f**2 + 98*f + 49. Let m(i) = -381*i**3 - 2*i**2 + 4*i + 2. Give -2*h(c) + 49*m(c).\nAnswer: -385*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*o**2 + 2287814*o + 112514547 wrt o.\nAnswer: 74*o + 2287814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-22)\/(-36)*(65 + (-52355)\/814))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose 5*z - 2*p = -3*p + 24, -3*z = 2*p - 13. Suppose z*b + 2 - 32 = t. Solve 4*w - 32 = 5*u, -2*u - 5*w + 1 + b = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154103969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 275220 and 27522?\nAnswer: 275220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/11732888 and -28\/123?\nAnswer: 35198664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eliieeeilil. Give prob of picking 1 l, 2 i, and 1 e.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -19, 11, 53?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666.4 rounded to the nearest ten?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102952\/7 or -14706?\nAnswer: -102952\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -ba (base 16) to base 13\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-2 + 504\/40 + -10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 62640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 12 + 13 - (-5 - (-5 - 1))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12670?\nAnswer: 2, 5, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 205425 (base 8) to base 11\nAnswer: 47408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*c + 2*c = 144 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 13*v - 70 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2158979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5\/3 - 596*c**4\/3 - 6148*c**3\/3 - 3508*c**2 - 1656*c = 0. Calculate c.\nAnswer: -138, -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 42, 30, 10, -18, -54?\n\"Answer: -4*f**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55\/27 + -829\/513. Is -1 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/630 and -19\/180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10116 - 10114. Solve 0 + 4\/5*v - 6\/5*v**u + 2\/5*v**3 = 0 for v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*18\/12*((-322)\/6)\/(-7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -60 (c) -0.2 (d) -0.05 (e) -11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10164 is divided by 159?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**6\/6 + 29*h**3\/3 + 24. What is the third derivative of f(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -775853 - -6.29?\nAnswer: -775846.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -2. What is the highest common factor of p and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8492 + 2929742\/345. Let l be 0 + ((-1039)\/690 - 1). Let h = l + d. Which is the smallest value? (a) 4\/3 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a factor of 19842009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6870 - 2.5.\nAnswer: 6867.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.26468 + -27010.5\nAnswer: -27010.76468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -29. Let z be g + -2 + (-27)\/9. Is 0 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a + 1 + 8*a + 12*a - 8*a. Let s be l(2). Let q = s - 6. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6)*(1 + 770). Suppose 0 = -0*i - 4*i + 2*k + o, 0 = -5*k - 5. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161612420?\nAnswer: 2, 5, 8080621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -5, 64, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 39 = -33. Let v be (200\/r)\/(4\/30). Suppose 5*t - v = -0*t - 5*k, -5*t = 2*k - 137. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 3*h - 2. Let q be g(-3). Determine c so that -3*c**3 + 2*c**4 + q*c**2 - c**2 - 5*c**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -20 + -1 + 0 + (108 - 106) + -49?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (320\/(-400))\/(1\/((-10)\/4)). Let l be (-10)\/90*-9*f. Factor -2\/3*h**l + 20\/3*h - 50\/3.\nAnswer: -2*(h - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**3 + 78*f**2 + 77*f + 41. Calculate the remainder when u(-38) is divided by ((-3)\/(3\/2))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 11*b**2 - 18*b - 30. Is 21 a factor of g(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4494 divided by -18.\nAnswer: -749\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o + 37. Let g be m(9). Solve 4*f - 3 = g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -680 = -83*p + 311 + 1914 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 6 - 2*b**3 + 0*b**3 - 9*b**2 + 3*b**3 + 7*b. Let h be u(4). Let n = 10 - h. Let p(s) = -1. Let a(m) = m + 3. Calculate n*p(v) + a(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1724476 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 63 = 2. Solve l = -4*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 7. Suppose 8*w = -19*w - 1080. Let i be (w - -4)\/(-6) + 2. Determine r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by 98?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17133.12 to the nearest one hundred.\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124 + -126 - ((2 - -9) + -3 + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 3821.\nAnswer: 3815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/3 + 7\/6. Let x = -0.259 + -0.041. Which is the third smallest value? (a) -0.5 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6122.3 + -6122. Which is the closest to 13? (a) -0.2 (b) 2\/17 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 1 - -2)*-2. Let a(d) = -8*d**3 + 7*d**2 + 4*d + 5. Let h(l) = -5*l**3 + 4*l**2 + 2*l + 3. Let o(q) = 3*a(q) - 5*h(q). Calculate o(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -32*b - 270. Let y be s(-9). Calculate the greatest common divisor of y and 528.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41.41 - -32.59. Let y = -55 + 118. Let j = y - p. Is j at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -796029677\/88 + 9045905. Let i = f + -917\/8. Let o = 4\/2393 - -165053\/38288. What is the common denominator of i and o?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.63, 0.2, 0.01, 0.3 in decreasing order.\nAnswer: 0.3, 0.2, 0.01, -0.2, -0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**2 - 2611 + 102*p**2 + 5188 - 2623 in the form w + f*p + s*p**2 and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.312 + 2770.67.\nAnswer: 2756.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = k - 17, 63 - 42 = 87*k - 4*i - 10 - 155 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170203*f**4*p**2 - f*p**2 + 7*f*p - 1076*f + p**2 + 2 wrt f?\nAnswer: 2042436*f**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4) - (-3)\/2. Suppose 4*k + q - 2 = 10, p*k - 9 = 3*q. Suppose -k*j = 3*b, -3*j = -6*b + b. Solve b*g - 3 = -3*g + 3*h, -13 = 3*g + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 + 50*p**4\/7 - 306*p**3\/7 + 118*p**2\/7 + 3020*p\/7 - 4800\/7 = 0.\nAnswer: -3, 2, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*o + 44 = -0*o, -4*d + 4*o = -16. Suppose -2*j - 5*j = d. Let s be (6 - 6)*(j + 2). Solve s*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*170.5\nAnswer: -187.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 17. Let x(u) = -u + 5. Let a be x(d). Solve 2*l = -0*l - a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let j(r) = -4*r**2 + 3*r - 1. Give j(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 30579670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 204629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*k - 157 = 0, k - 2*k = 3*q - 97. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/171, 0.2, 6.45?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 37147 = 2*h + 7*j, 0 = -h - 3*j + 18587. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144643 + 144642.876122. Let s = 0.124 + x. Round s to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((85\/(-25) - -3)*1)\/(1476\/180)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -51. What is the remainder when 149 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g**2*j**3*z + 436*g**2*z**2 + 5*g*j**3 - 2*g + 259*j**2*z**2 wrt g?\nAnswer: 20*j**3*z + 872*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*f + 975343 = -r + 974111, r - 64 = 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 39*t - 127. Does 27 divide n(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -36*b**5 + 1839*b**4 - 8352*b**3 - 3924*b**2 + 40848*b = 0.\nAnswer: -2, 0, 37\/12, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 1989 = -t, -4*o + 281 + 2373 = -2*t. List the prime factors of o.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((108\/8)\/(-9))\/(12\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*s - 101*s - 390 = 0. Suppose 4*t + 38 = 5*i, 4*t + 0*t = -2*i + 4. Suppose -i*w - 96 = -s*w. Solve -2*j + 5*n = -4*j + w, 4*n - 6 = 5*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93079 and 4228.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-45)*5*(29 - -1). Let y(i) = -21*i**2 + i + o*i**2 - 4 + i**3 + 0*i. Give y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2115083 is divided by 710?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 5*q - 2*q)*(0*q**2 - 2*q**2 + 20*q**2) - 162*q**2 - 145*q**2 - 191*q**3 + 304*q**2.\nAnswer: -227*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -j**4\/12 - 13*j**3\/6 + 7*j**2 + 80*j. Determine c(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110001000001110111110 (base 2) to base 15\nAnswer: 798bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17877, 17979, 18081, 18183?\nAnswer: 18285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 8. Solve -3*p + x = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*m + 10, -4*w + 0*m + 3*m - 22 = 0. Let f = w - -16. What is the tens digit of (1 - 7)\/(f\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 9*f**2 - 69*f + 504. Let j be o(7). What is the highest common factor of 847 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12707, 12691, 12675?\n\"Answer: -16*o + 12723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 133, 285, 509, 811, 1197?\n\"Answer: m**3 + 27*m**2 - 2*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (2 + sqrt(304))**2)*-2 + 0.\nAnswer: 24*sqrt(19) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 4*m**2 - m - 1. Let k be o(3). Let f = -19072 + 19060. Sort k, 0, f in descending order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*o + 204*f**2 wrt o.\nAnswer: f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose 230 = 3*m + j*m. What is the remainder when m is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 65*x + 151. Calculate y(-13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(12\/11965). Let k = 398 + z. Which is the closest to 2\/3? (a) -3 (b) 10 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178763 greater than 178731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 14, c: 1}. Give prob of picking 1 c and 2 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, z: 7}. What is prob of sequence azzz?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaq when three letters picked without replacement from {k: 1, q: 2, j: 7, a: 4, d: 4}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + -1 + (-3 - -6) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - -1.95. Let s = 3 + -3.5. Let l be (33\/132)\/(61\/(-20) + 3). What is the nearest to b in s, l, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17185012?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/((o\/((o*((o**(-36)*o)\/o)\/o)\/o))\/o))\/o*o*o))\/o*o**39 assuming o is positive.\nAnswer: o**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 3, a: 3, w: 1}. What is prob of sequence yaba?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2346 + -0.5.\nAnswer: -2346.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -500, -718, -934?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 5?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -701053 or -42.5?\nAnswer: -42.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 890 and 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, a: 1, p: 10, g: 3, s: 1}. Give prob of sequence yagp.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000111001 + -10101?\nAnswer: 10100000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*n = -1, 2*v + 4*n = -2*v + 28. Suppose 0 = -5*h + v*p + 170, -2*h - 4*p = -5*h + 104. Suppose 3*j + 20 - h = 0. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a century?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.939966 - 0.3?\nAnswer: -77.239966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33.91459 nanometers?\nAnswer: 0.03391459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86116199.\nAnswer: 13, 139, 47657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -8 (c) -12391 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - ((-2*sqrt(180) - sqrt(180)) + sqrt(180)))*3 - sqrt(180))\/sqrt(3))\/((1*sqrt(1500))\/sqrt(5))*1*2.\nAnswer: 16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -89*n - 505. Let a be g(-14). Calculate the greatest common factor of 171 and a.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.8, 5, -39463 in descending order.\nAnswer: 13.8, 5, -39463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -213*w**2 - 1 - 4*w + 7*w + 3 + 168*w**2 wrt w.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-25612)\/(-8))\/((-185)\/(-30) - 6). What is the greatest common factor of s and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6562 + -6446. Sort -2, -5, m in descending order.\nAnswer: m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2733, 10864, 24407, 43362, 67729, 97508?\nAnswer: 132699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16900)\/(-24) + (-6)\/36.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602 by -301.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2347 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/5, 0.5, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -486.64 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 900?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d + 17*d = -221 - 283 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 13*c - 5. Let j(a) = -a**2 + 5*a. Let q be j(7). Let z be w(q). Are z and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09706 plus -3201?\nAnswer: -3201.09706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 9*s**2 - s - 4. Let r be h(-9). Let t(c) = c**3 - 4*c**2 - 4*c + 2. Calculate the lowest common multiple of 2 and t(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222212 (base 3) in base 2?\nAnswer: -1011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 212?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32513?\nAnswer: 13, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 15. Let n be u(-15). Let i(t) be the first derivative of n*t - 3\/7*t**2 + 2 + 2\/21*t**3. Solve i(m) = 0 for m.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b**(-16)*b)*b)*b\/b**(-41))\/(b**(-2\/9)*b\/(b**32*b*b)) assuming b is positive.\nAnswer: b**(524\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 1 = 2*b - 5*m + 12*m - 6*m, 5 = -5*m for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -683*u**2 + 4 - 11*u**4 + 9*u**6 - 19*u**2 - 5 - 38*u**4 + 7*u**6 wrt u?\nAnswer: 1920*u**3 - 1176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 792 and 440.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*b = 3*s + 629*b - 34, -2*s = -2*b - 28 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose -2*f - 4*o = -6, -2*f + 1 = -3*f + g*o. Let s = 25.7 - 26.1. Which is the closest to -0.1? (a) s (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 1421686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - 22.2. Let w = s - -25.3. Which is the second smallest value? (a) -1\/3 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -48771, -48767, -48761, -48753, -48743, -48731?\n\"Answer: l**2 + l - 48773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 105 + -28 + -43\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13041109 take away 0.4?\nAnswer: -13041109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129793?\nAnswer: 129793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*k - 5*n + 8828, 0 = 5*n - 5. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -22 + (10 - (-10 + 18)) + 0?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4654 is divided by 537?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -2*y. Find the third derivative of 3*t**5 - 2*t**5 + y*t**5 + 4*t**2 wrt t.\nAnswer: 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 21*j + 61. Let d(p) = -210*p - 633. Let v(c) = 2*d(c) + 21*u(c). Let k(n) = -10*n - 7. What is 13*k(y) + 6*v(y)?\nAnswer: -4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m - 15 = -3*r, 2*m = 2*r. Solve -51*j**3 - 20*j**2 + 8*j - 4*j**5 + 28*j**m + 35*j**3 + 4*j**4 = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(3) + (sqrt(3) - (0 + sqrt(3))))*-4 - 5*(sqrt(3) + sqrt(48))) + 5) - -1*(sqrt(144)*-1)\/sqrt(12)*-6)**2.\nAnswer: -4160*sqrt(3) + 32848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7277393, 7277419, 7277449, 7277483, 7277521, 7277563?\nAnswer: 7277609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:11 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 602, 1202, 1802, 2402?\n\"Answer: 600*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + -2?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2574, 0.9, -5, -1\/3, -6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-5)\/t*t)\/t**(-5))**(-14)*(t*t**2*t**(1\/2)\/t)\/(t**(2\/9)*(t**(-5\/4)\/t)\/t) assuming t is positive.\nAnswer: t**(199\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 58894259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-22))\/((-156)\/286)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -371 - -370. What is the closest to 1\/2 in 10, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -94 - 812. Let y = -39 - m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 225358, 901442, 2028252, 3605788, 5634050, 8113038?\n\"Answer: 225363*g**2 - 5*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 246?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.297 + 14.297. Sort 1\/3, -4, 1\/5, 8, d.\nAnswer: -4, 1\/5, 1\/3, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**46\/((y**3*y)\/(y**(-9)*y)))\/(y\/(y*y\/(y*y**4*y)*y)*y\/(y\/y**11))**(-2\/13) assuming y is positive.\nAnswer: y**(472\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128137613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -n + 2*n + 7, 0 = 4*w + 3*n + 5. Which is greater: 2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -392.5 + 392.513808. What is c rounded to four dps?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 12*l**2 + 26*l + 34. What is r(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 3.1, 1\/4, 0.4, -0.4 in ascending order.\nAnswer: -0.4, 1\/4, 1\/3, 0.4, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v**2 + 21*v - 165. What are the prime factors of w(7)?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 173, 319, 441, 539, 613, 663?\n\"Answer: -12*l**2 + 182*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 18 = 3*x, 1532*j + 24 = 1536*j - 4*x. Suppose 21 = -3*z + t, z = 2*z - 3*t + 7. Let w = -41\/6 - z. What is the second biggest value in 5, 3, j, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -0.03, -1\/2, 2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6485 divided by 6?\nAnswer: -6485\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rskuo. Give prob of picking 1 k, 1 s, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -23)*98\/(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*w**5 + 16*w**5 - 9*w**5)*(-31 + 23 + 7)*(0 - 3 + 4).\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -522*43\/2322 - (-110)\/(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:39 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.977 (b) -3\/7 (c) 26 (d) -0.44 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 47*u + 512. Calculate the remainder when 127 is divided by z(-32).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a factor of 4486439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(12\/11))**(-1)\/(i*i*i\/i**21*i)**(-24) assuming i is positive.\nAnswer: i**(-4487\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1\/2*14. Suppose -w = -2*n + 2*m + 25, -n - 4*m = 2. Suppose 0 = k, 0 = i + i - 2*k - 4. What is the highest common factor of n and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131431 + 143?\nAnswer: -131233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4579320 minus -2?\nAnswer: -4579318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h**3 + h**2. Let m be q(1). Let z = 3 + m. Let t(k) = -2*k**3 - 3*k - 1. Let j(b) = b - 1. Give z*t(d) - j(d).\nAnswer: 2*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (181*x - 895*x - 1010*x)*(-3 - 1 + 3)*(-1 + 0 - 3) to the form g*x + d and give g.\nAnswer: -6896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-8)\/12)\/((-9)\/729) and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158941.\nAnswer: 158941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5*u + 398674*k**3*u**2 + 12*k*u - 6448*u**2 - 10 wrt k?\nAnswer: -60*k**3*u + 2392044*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 4*g - 5. Let v(y) = -2*y**2 + 2*y - 3. Let p(f) = 6*s(f) - 10*v(f). Factor p(h).\nAnswer: 2*h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141505 (base 7) to base 16\nAnswer: 697c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, 86\/9, 50\/3?\nAnswer: 86\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -730209 - 0.02.\nAnswer: -730209.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.8 + -15.91. Let z = -0.11 - x. Let i be (2 + -1)*(-9)\/27. Which is the second biggest value? (a) z (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(-13)))\/((i\/(i*i\/(i*(i**(-14)\/i)\/i)*i))\/i)*i**(-8)\/(i\/i**(-5\/3)))**(-33) assuming i is positive.\nAnswer: i**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13203*c**2. Let a(x) = 2*x. What is m(a(v))?\nAnswer: 52812*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20799.\nAnswer: 3, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/72 and -131\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 822 a factor of 15661358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*w + 20391 - 20816 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 8, -7, -28, -55, -88?\n\"Answer: -3*n**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 - 2*k**2 - 4*k**2 + k**2 + 3*k**4 + 4*k**2 in the form n*k**2 + j + z*k + o*k**3 + g*k**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*57\/(-1824)*32\/(-42).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 + 2. Let o = 8 - 18. Let z be (-8)\/(-5) + (-4)\/o. Let n be t(z). Solve 0*l - 5*l + n = -k, -9 = -3*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0165 - 0.1165. Which is the nearest to n? (a) -4 (b) 3 (c) 3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561*y = 163 + 6543 + 1148 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -851803*f + 2555418. What is w(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 44*x**2\/9 + 202*x\/9 + 52\/3.\nAnswer: -2*(x - 26)*(x + 1)*(x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let d be y(-3). Suppose -g + 15 = -4*g. Let i = d - g. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13003323 (base 4) to base 8\nAnswer: -70373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1191219952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 103896049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4445)\/254)\/((-10)\/(-8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 18*m**2 + 107*m + 939. What is f(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -766 divided by 331400.\nAnswer: -383\/165700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 7*y - y + 10*y - 22*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k - 48. Let z be x(9). Calculate the greatest common factor of z and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.64 and -0.2?\nAnswer: -0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 1:54 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 8 + 2*p**2 - 5*p - 5*p**2. Let w be s(-6). Let d be -3*4\/(-18)*-3. Sort -1, w, d in increasing order.\nAnswer: d, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -31*d**2. Let j(w) = -84*w + 4 + 80*w - 4. Determine j(s(f)).\nAnswer: 124*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 12:00 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z - 5. Let w(u) be the third derivative of u**5\/60 - u**4\/24 - 3*u**3\/2 - 2*u**2. Let k = 4 - 7. Determine k*w(x) + 5*v(x).\nAnswer: 2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 8*l**2 - 26*l + 11. Is 18 a factor of b(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 146681.1?\nAnswer: -146681.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-25)*(-25)\/(-20))\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-6)\/(-2). Let v be 0\/(6\/6*1). Suppose 0 = 3*j - 4*y + 3*y - 23, v = 4*j + s*y - 36. Calculate the remainder when 14 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 + 6*y - 3. Let h be a(6). Let d = -1103 + 1146. Suppose -46*m = -d*m - h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, k: 2}. Give prob of picking 1 k and 2 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4326 is divided by 493?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by (-5)\/(-45) - 278\/(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence huwp when four letters picked without replacement from {h: 2, u: 2, n: 1, d: 2, p: 1, w: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 + 578820*z**2 + 27920540304*z + 111672900288 = 0 for z.\nAnswer: -96468, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44423 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/23 (b) 3\/8 (c) -1\/15 (d) 0.07 (e) 0 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001695275 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 647, 648, 649?\n\"Answer: x + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5\/3 - 2492*j**4 - 104360*j**3 - 305600*j**2\/3 = 0. Calculate j.\nAnswer: -40, -1, 0, 1910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 - -e54?\nAnswer: e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.3 (b) 10243 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by (1\/2)\/((-16)\/(-224))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -v - 4*c + 3, 4*c = -2*v + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of 3 - 1\/2*i**2 - 1\/3*i**4 + 4*i + 0*i**3. Let t(f) = 3*f**2. What is t(b(q))?\nAnswer: 48*q**4 + 24*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**3 + 4*z**2 - 2*z - 2. Let r be q(-3). Let c = r + 56. Let x be -1*(-3)\/(-9)*c. Calculate the greatest common factor of x and 78.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m + m + 4*m)*(-10*m - 9 + 9) - m**2 + 2*m**2 + m**2 to the form o*m + s + g*m**2 and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 6*p + 7. Let b be j(-7). Suppose -k - 5 = b, -k = -w - w + 344005. What is w rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -22*x**5 - 5*x**2 - 12*x + 5. Let i(m) = -11*m**5 - 3*m**2 - 6*m + 3. Let y(p) = -5*i(p) + 3*z(p). What is the second derivative of y(j) wrt j?\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1818 times -2?\nAnswer: 3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.05666, 2\/83, 3, -6\/7 in ascending order.\nAnswer: -6\/7, 2\/83, 0.05666, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 136.09.\nAnswer: -68.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 401074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - 30) + -9 - (0 + 6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162948*-1.\nAnswer: 162948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11323*h**2 + 610*h + 11323*h**2 - 2637*h**3 - 2 wrt h?\nAnswer: -15822*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*m + 29, 2*m = 5*j + 5*m - 19. What is the third derivative of -2*u**2 + 15*u**5 + 11*u**5 - 35*u**j wrt u?\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29412.199 - 29383. Let w = m + -0.199. Which is smaller: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -43.\nAnswer: -43, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 15046300 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 8:38 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-39)\/(-9) - 0)*3. Suppose -3*o + 2 + r = 0. What is the third smallest value in 2, 0.9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-17*t - 42*t + 10*t + (-3 - 2 + 4)*(0*t + 2*t - 4*t)) as n + c*t and give c.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 19*a = 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314660 (base 8) to base 12.\nAnswer: -50840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/16 and -10 + 6501\/5368 - -9.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-10)\/12)*638\/957\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 9. Calculate the remainder when 48 is divided by l(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 24*g**2 + 6*g - 461. What is the units digit of i(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002301102 to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -20890.\nAnswer: 104450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*n + 27. Let g be (-2)\/((-328)\/162 - -2). Calculate the greatest common divisor of g and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(4)\/(sqrt(6)\/sqrt(3)))**2 - sqrt(4)\/sqrt(2)*-3*-4.\nAnswer: -12*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 88\/56)*7. Find the common denominator of (-3)\/b + -1 + (-536)\/(-3648) and -7\/4.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2516230 + -0.11\nAnswer: 2516229.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from mrlmrplmplpr?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 12*l**2 + 28*l + 1. Let i be v(10). Suppose -3*y + 2*x = 6*x - 361, 5*x - i = -4*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/33)*j\/(j*j*j\/((j*j**(-3\/22))\/j)) assuming j is positive.\nAnswer: j**(-145\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -150 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*r**3 - 32*r**2 - 10*r**3 - 19*r**3)*(-3*r - r - r) in the form s*r**4 + i*r**3 + j*r + d*r**2 + p and give i.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -3. Let v be t*((-20)\/4 - -3). Suppose -4*p - 24 = v*x, x - 5*p + 20 = -4*x. What is the third biggest value in 1, x, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 = 0, 8*l = -4*o + 2215965 + 1632911. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 f when three letters picked without replacement from {f: 1, i: 2, b: 1, w: 1, d: 11, x: 4}.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/8, -248.\nAnswer: -248, -1\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 80605 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105809323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1236876722 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*y - 10 = 0, -3*y + 1 + 6 = -2*j. Find the second derivative of -73*o - 100*o**2 - 79*o - 81*o - j + 232*o wrt o.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxkkkkkkkkkkkkkkkp. What is prob of picking 1 k and 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -p + 8 + 3, -5*b = -p - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 15) to base 5\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7)**(-33\/4)*f*f**(-12)*f*f**(4\/7))**(1\/3) assuming f is positive.\nAnswer: f**(-627\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 6*b**2 + 5*b + 2. Let n = -6 - -8. Suppose -c - 4*c = -50. Let j be (5\/c)\/(n\/(-20)). What is w(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.4, -4, -14, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 51*b**3 + 18*b - 18. Let a(t) = -4*t**3 - 2*t. Determine -9*a(w) - l(w).\nAnswer: -15*w**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -281*s**5\/5 + 171*s + 401. Find the first derivative of a(m) wrt m.\nAnswer: -1124*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 1411 = 371. Let f = m - 168. Which is the nearest to 0? (a) f (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60597, -121121, -181575, -241959?\nAnswer: -302273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -308 - -1541\/5. Let p(h) be the second derivative of 4*h + 0 - 1\/4*h**4 + 0*h**2 + 0*h**3 + b*h**5. What is the third derivative of p(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -548189 + 1603301 = 6*h. Let a(y) = 25221 - 28037 + h + 3*y + 27964. Let u be a(0). What is u rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*a + 13. Let d = 5440 - 5436. Suppose -5*f - 5 = -15. Solve -i - w + a = d*i, i - f*w = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21368 + -2?\nAnswer: 21366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(450)*-4 + 5 + (sqrt(450) - (sqrt(450) + (sqrt(450) - (sqrt(450) - sqrt(450)*2)) + sqrt(450))))**2.\nAnswer: -1650*sqrt(2) + 54479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1872 + -1870. Let o(q) = 2 - 3*q**2 + 5*q**2 - 2*q + 0*q**3 - q**3. Give o(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*n - 69*n + 7*n - 80*n.\nAnswer: -172*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8534?\nAnswer: 2, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 383424 is divided by 1291.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + 319. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 6 - 11*g**3 - 5 + 15*g**3 + 3 + 5.\nAnswer: 4*g**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4ed12c (base 15) to base 4\nAnswer: -32131120320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(9 + (-110)\/12) + 236\/(-12)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-342)\/(-12))\/19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40119933 - -0.09?\nAnswer: -40119932.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 22 in descending order.\nAnswer: 22, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-35\/4)\/(f**5*(f*f*f**(2\/5)*f)\/f)*(((f*f**(-1\/4))\/f)\/f)**45*f**(-2)\/f**(1\/15) assuming f is positive.\nAnswer: f**(-16297\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0, 4 in ascending order.\nAnswer: -15, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1263, -1573, -1883, -2193?\n\"Answer: -310*v - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -14*j**4 + 60*j**3 + 208*j**2 - 960*j + 256 = 0.\nAnswer: -4, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Suppose -i = 2*m - 14. Suppose 0 = -m*q + 21 - 1. Solve -1 = j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1614)\/(-27) - (-4)\/18. Suppose 0*y - t = -3*y. Suppose 4*d - y = -d. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -98, -305, -710, -1379, -2378, -3773?\nAnswer: -5630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -42, -0.06, 4 in descending order.\nAnswer: 4, 0.3, -0.06, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y**2 - 32*y + 2. Let n(a) = 5*a**2 - 10*a. What is 2*c(l) - 7*n(l)?\nAnswer: -11*l**2 + 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3*z**3 + 239*x**3*z - 1692*x**3 + 2267*x*z**3 + 7*x - 16*z wrt x?\nAnswer: 12*x*z**3 + 1434*x*z - 10152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 115*d**2 - 2*d + 6. Let k be c(2). Suppose a = 7*a - k. What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -1, -1427.\nAnswer: -1427, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -8*m + 268. Is m less than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 199*u - 2 - 7 + 7 + 203*u as j + b*u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 4*h**2 - 6*h - 2. Let v be z(-5). Suppose 0 + 9 = v*s. What is the third derivative of j**2 - j**3 + 5*j**3 - 5*j**s wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*w**2 + 50*w**4 + 4*w**3 - 97*w**4 + 44*w**4 as l + b*w + i*w**4 + a*w**2 + y*w**3 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.89 - 1.89. Let f = 4.6 + -5. What is the closest to f in -1, 1\/3, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0835 + -35.1835. Let q = a - -40.1. What is the third biggest value in -63, 2, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -42*p**5 - 82126*p**4 - 194988*p**3 + 609480*p**2 + 281168*p - 124992 = 0.\nAnswer: -1953, -4, -2\/3, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -231.\nAnswer: 16.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = -4*a + 5*v, 0 = a - 2*v - 9. Suppose -2 = -w - a. Let o be (-2)\/6 + (-11)\/(-15). What is the nearest to -0.1 in o, w, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - -77. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x + 3*n = 35, -40 = -5*x - 4*n. Suppose x*i = 1 - 1. Solve i*u + 4 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l, 0*l = -4*k + 2*l + 10. Suppose k = 4*g - 3*g. Let d = -8 + 26\/3. Which is the second biggest value? (a) 2 (b) g (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461373 divided by -341?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-4))\/((-37)\/74)*-1269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3372*r**2 - 4121*r**2 + 6948*r**2 to the form v*r**2 + b*r + i and give v.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r**2 - r**3 + 2*r + 4*r**2 + 7*r**2. What is the remainder when 3 is divided by b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 417988025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 200?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 + 3*b**3 - 63*b**2\/5 - 167*b\/5 - 18.\nAnswer: (b - 5)*(b + 1)**2*(b + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s - 2*o + 16, 0 = -4*s - 4*o + 28. Let i(d) = -3 + 3 + 2*d**s. Let v(w) = 0*w + w - w**2 - w - 5*w**2. Give i(v(b)).\nAnswer: 72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5679 = 5*u, -n - 2*u - 444 = -1880. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0782 - 0.6882. Let t = -7297.6033 + 7297. Let l = t - v. What is l rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.3 + 0.3. Let i = 17.93 + r. Let l = -4.07 - i. What is the biggest value in l, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/11 and -63\/2215334.\nAnswer: 2215334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*-2*sqrt(700) - (sqrt(700) - (-1 + sqrt(700) + 5)))**2.\nAnswer: -640*sqrt(7) + 44817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 7:45 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4*y + 88*o**4 - 6*o**2 - o*y + 438*y wrt o?\nAnswer: 4*o**3*y + 352*o**3 - 12*o - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34\/19? (a) -0.5 (b) -5 (c) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h + 2 = 0, -h = 5*u - 8. Let r(j) = j**u - j + 3 + 2*j + 2*j. Let k be r(-3). Solve k*a + 10 = -2*t - a, 0 = t - 5*a - 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00732 times -645\nAnswer: 4.7214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14605 minus 0.65?\nAnswer: -0.50395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 21. Suppose 2*c + 74 = 3*y, -5*y + u*c = c - 115. Let z be 3\/7 - (-8192)\/y. Round z to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 55. Suppose -6*k = y*k. Solve k*g = -4*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*(sqrt(396) + sqrt(396) + 0 + 2 - (sqrt(396) + 1)*-2))**2.\nAnswer: 192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 455419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -31. Let x be 92 + ((-26)\/k - (-7)\/(-28)). Let q(m) = -5*m**3 + 2*m + 2. Let l be q(-2). Calculate the greatest common divisor of x and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -74*k + 79*k. Solve 15 + 5 = k*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36981 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 + 180*j**2\/7.\nAnswer: 2*j**2*(j + 90)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31633?\nAnswer: 7, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/62388 and 65\/7309794?\nAnswer: 43858764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/3 = -1553.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11273?\nAnswer: 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 6, 4, -2 in descending order.\nAnswer: 9, 6, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 15 = 10*c. Let b = 22 + -16. Let i = b + -6. Sort i, -2, c in ascending order.\nAnswer: -2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*h - 4682 = 0, h = -95*c + 91*c + 3748. What is the least common multiple of 140 and c?\nAnswer: 9380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*236)\/(11408\/713)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329363?\nAnswer: 317, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**2*h*v**2 - 25*d**2*h + 3*d**2*v**3 - 2*d**2*v**2 + 11*d**2*v + 681*d*v**6 + h*v**3 wrt v?\nAnswer: 18*d**2 + 81720*d*v**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w - 6. Suppose 4*f + n = 17, -f + 18 = -5*n - 2. Give t(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4 - 20 = 0. Suppose -13 = -l*f - 5. Factor 6 - 1 - 1 + f + 3*n**2 - 9*n.\nAnswer: 3*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/2)\/o)\/((o\/o**(6\/7))\/o)*(((o*o**(-1)*o*o)\/o)\/o)**(14\/11) assuming o is positive.\nAnswer: o**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x**17*x)\/x*x*x)\/x))**(-8\/7)\/((((x*x\/((x\/(x**(-23)*x)*x)\/x))\/x)\/x*x)\/(x**(-9)*x)) assuming x is positive.\nAnswer: x**(234\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0592 less than -1292?\nAnswer: -1291.9408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 204004 (base 5) in base 12?\nAnswer: 3aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2421*y + 33892. Give q(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3\/(-27)*3). Let t be ((-18)\/(-3))\/r*119. What are the prime factors of (18\/7)\/((-51)\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 65 + 137)*(-6*f**3 + 4*f**3 + 3*f**3).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhev when four letters picked without replacement from {e: 1, h: 1, y: 11, v: 6}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 13*a - 46 = 17*a, 18*s = 4*a - 164. Let c be -2 - -10 - (-8)\/2. Sort s, 3, c in decreasing order.\nAnswer: c, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180) + 0 + sqrt(180) - sqrt(180)) + 3 - (-5*(0 + sqrt(180))*5)**2)*3*6.\nAnswer: -2024946 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 7:41 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032 (base 4) to base 9.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**3 - 14*b**3 - 22*b**3.\nAnswer: -42*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.47 (b) 3 (c) 1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1976137094 to the nearest integer?\nAnswer: 44454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -2\/51, -3\/7, -21 in descending order.\nAnswer: 26, -2\/51, -3\/7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*m + 32*m - 16*m)*(m**2 + 1 - 1).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 454*w + 7258. Give a(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 220 (b) -2\/15 (c) 1597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + w**3\/2 - 2*w**2 - 3*w. Let i be f(-5). Factor -5*s**3 - 3*s**4 + 4*s**2 - i*s**2 + 0*s**2 + 0*s**3.\nAnswer: -s**2*(s + 1)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35234 is divided by 410?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z + 34. Calculate the remainder when m(7) is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 8. Suppose 2*p + 15 = -3*p. Let o be i(p). Let j = o - 8. Solve -5*s + j*s = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238593947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806*m + 46349864 + 22105328 = 0. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 40362 = -79*b. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*j - 114, -2*j + 4 = 2. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/11, -2, 2, 9, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. What is the smallest value in 1\/2, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 171*s**2 + 12*s - 64. What is the hundreds digit of t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9005856*h**2 - 6660064 wrt h.\nAnswer: 18011712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:30 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -155648560 take away 0.1?\nAnswer: -155648560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271585\/2175 + 4\/30 and 400?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 7. Suppose 0 = o*z - 19*z + 528. Let h = 46 - z. What is the closest to -2 in h, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51c (base 14) in base 3?\nAnswer: -1101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 + 2 - (-4 - -7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 + 4 = 0. Let v(j) = 4*j - 3 - j + q - 6*j. Let r be v(2). Does r = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196382*h**3 + 72895*h wrt h.\nAnswer: 1178292*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4647 + 2346 - 72*q + 2301 + 29*q.\nAnswer: -43*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w = -5*s + 170, 58 - 8 = -5*w + s + 49 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**2 + 10. Let o be t(-1). Let x(v) be the first derivative of v**5 - 5*v**2 - 5*v + 2 + o*v**3 + 5\/2*v**4. Solve x(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -106263 - 63406?\nAnswer: -203002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytyeeeeeyeeeete. Give prob of sequence yt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ar when two letters picked without replacement from aaaaajmoaaaaaorr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-510)\/75)\/((-1)\/(-15)). Let w = 106 + g. Let p(l) = -4*l + 10. Calculate p(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 86591.9kg?\nAnswer: 86591900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*j - 33*j + 682 = 3*l, 4 = -5*j - 10*l + 14*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(35)\/(sqrt(7) - sqrt(112) - sqrt(7))))\/((sqrt(140)\/sqrt(160))\/sqrt(7)).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = 0, -3*y - 4*m - 1600016 = -4*y. Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + (-1 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253155*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + l**2 + 0*l**2 - l**3 + 0*l**3 - 8*l to the form a*l**3 + v*l**2 + j*l + q and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 - 314 = -24*m. Let d = m + -34. What is the lowest common multiple of 328 and d?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -177 + 166 - (-2)\/3*(-207)\/46\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/176 and -73\/352.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1847979665?\nAnswer: 5, 7, 131, 403049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3674669749 - 1.101?\nAnswer: -3674669750.101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 593568 a multiple of 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -540 + 529. Put -2, 1\/2, d, -1 in ascending order.\nAnswer: d, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 31*g - 1\/8*g**4 - 21\/2*g**2 + 1\/120*g**6 + 0*g**5 - 1\/3*g**3 + 0. Let h(c) be the first derivative of v(c). Factor h(i).\nAnswer: (i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96*v**3 + 92*v**2 + 1214694*v?\nAnswer: -576*v + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/44596 and 119\/20.\nAnswer: 222980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 17. Let h = 11 - s. Let k(r) = h*r**3 - 3*r**2 - 4*r + r**3 - 2*r**3 + 2*r**2 - 1. Calculate k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 + 35.3. Let g = x - -0.5. Which is the closest to g? (a) -5 (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v - 7. Factor -2*j**3 + j**3 + v*j - 6*j.\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -696 - -699. Which is the smallest value? (a) 0.2 (b) s (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r - r + 27664 = 247625. List the prime factors of r.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -871 + 1739 + 3*t - 876. What is u(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 3:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = b + 5*y + 6, 5*b + 8*y = 166. Let j = -84 - -144. Suppose j = 4*q - 4. What is the smallest common multiple of b and q?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1140 + 2476. Does 60 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -r - 3*r = c - 13, -4*r + 14 = q*c. Let z(y) = 1. Let w(b) = -b + 6. Calculate c*w(a) - 4*z(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 26*k + 411. Let h be q(-16). Which is the closest to -1? (a) 8 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132268 is divided by 134.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2736) + 0 + 0) - (6*(sqrt(2736) + -1) + 1 + sqrt(2736) + 3))**2*6*-6.\nAnswer: -14183568 + 20736*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 - 2*z**2 + 0*z**2)*(3*z**3 - 2*z**3 + z**3) + z**5 - 2*z**5 + 2*z**5 + (139*z**2 + 355*z - 355*z)*(-z**3 + 3*z**2 - 3*z**2).\nAnswer: -134*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 784 + -529. Let n = d + -262. Let q = -66 - -200\/3. What is the biggest value in n, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.1. Let a = -3.451 - 0.049. Let h = a - -3.9. Sort -0.5, h, i.\nAnswer: -0.5, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 208, 0.3, 3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55144693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h + 257. Let v be b(15). Suppose 0 = -2*o + 3*p + 353, -3*o + v = -2*p + 3*p. Does 28 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*b + 58 = -63, -68 = -2*h - 4*b. Solve -15*a = -h - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 18*m - 152. Suppose 0 = 5*d - m - 51. Solve -9*z + d*z = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212211 - 1012111?\nAnswer: -10002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 14. What is the third biggest value in v, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/7 - 218\/77. What is the common denominator of u and 44\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/8)\/((b\/(b**(-3)*b))\/b)*(b\/b**(-1\/2)*b)**(1\/35) assuming b is positive.\nAnswer: b**(-101\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47892120 and 7560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -133*c**2 + 5*c. Let q(l) = -2*l. Calculate u(q(g)).\nAnswer: -532*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-12))\/(59\/(-4)). Suppose 0 = -10*w + 1 + 39. Which is smaller: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7437 + -7187. Calculate the remainder when 2760 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-3 + (-225)\/(-70)). Let t be 24\/14*z\/16. Suppose -t*a - 2*a = -1320. What are the prime factors of a?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 38*w**3 - 40*w**3 - 2*w**2.\nAnswer: -80*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -8*f - 83. Let y be i(-18). Suppose -y*u - 128 = -65*u. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 2 = -14*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 5*v + (0 + 3 - 1)*(-2*v + 3*v - 3*v))*(-1 + 1 + 3*v)*(-3 + 1 - 1).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 35. Let h be n\/(-11) + (-864)\/(-88). Suppose 5*t - 83 = -p, t + h + 55 = p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04666 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)*(-6 + 11)\/(-10). Is -3\/32 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -1\/33 (c) -25 (d) -0.3 (e) -2 (f) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -259530 - -259532. Factor 512\/3 + 64\/3*c + 2\/3*c**u.\nAnswer: 2*(c + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487743*p - 2*g + 10 = 487746*p, 0 = -2*g + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {z: 15, x: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**4\/36 - 2374*a**3\/9 + 2817938*a**2\/3 - 13379569624*a\/9 - 2963. Solve l(b) = 0.\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*z - 4*x, 3*z + 7*x + 33 = 4*x. Find the common denominator of (-50)\/z*(-2)\/(-4) and 1\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z + 2. Let p = -2 - -1. Let j = 3 + p. Suppose -d = j*d. What is b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 18. Suppose -132 = a - x*a. Calculate the lowest common multiple of 39\/(-9)*-3 + 3 and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-180)\/600)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*h - 799 = -891. Calculate the greatest common factor of h and 542.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*c + 4)*(c + 3 - 3) - c**2 + 0*c + 0*c + 148949*c - 148949*c - 472*c**2 + 1 - c**2 - 1.\nAnswer: -476*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4672120 to the nearest 1000.\nAnswer: -4672000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3332 - -10?\nAnswer: -3322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 11. Let t = -0.15 + 0.05. What is the nearest to q in t, 5, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 - 6. Let m = 6 + -2. Suppose m - 10 = i. Let h(k) = -6*k**2 + 7. Let b(j) = i*h(j) - 7*r(j). Let c(l) = -l. Give b(c(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17168*m - 34333*m - s - 4 - 9 = -17160*m, -5*s + 35 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0*a + 21*a**2 + 23\/24*a**4 + 1\/6*a**3 + 0 - 1\/60*a**5. What is the hundreds digit of b(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 31056?\nAnswer: 31056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 58*x**2 + 16*x + 927. Determine z(-58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 35*h - 1813. Calculate g(10).\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -998.9 - -999. Let o = 0 + 0.1. Let k = -0.3 + o. Which is the nearest to 1? (a) l (b) k (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**5 + 6*x**4 - 1216546*x**3 - 1324*x - 2604 wrt x?\nAnswer: -20*x**3 + 72*x**2 - 7299276*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.83 + 1.13. Which is the closest to 0.3? (a) -0.5 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 16*j + 3. Let c(a) = -2*a**2 + 17*a - 4. Suppose 4*l - 11 + 3 = 8. Give l*c(v) + 5*y(v).\nAnswer: 2*v**2 - 12*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 3. Suppose -109 = 7*d + 3. Let x(v) = -12*v - 10. Determine d*a(n) - 5*x(n).\nAnswer: -4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1108409629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*x + 3*u, 8*x - 4*u + 22 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.9 - -26. Let w be (-2)\/(-36) + 52\/(-234). Which is the third biggest value? (a) f (b) -1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 9 = 3*u. Let c(k) = 3*k**2 - 8. Let p(d) = 2*d**2 - 5. Let n(y) = u*c(y) - 8*p(y). Let f(x) = 3*x**2. Calculate n(f(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(4\/9)\/v*v))\/v**(-2\/17)*(v**(-2\/5))**9)**(-35) assuming v is positive.\nAnswer: v**(26383\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 65.42?\nAnswer: 2.6168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j**2 + 5*j**2 - 5*j**2)*(j + 2*j - j + (2*j - 3*j + 2*j)*(-3 + 0 + 5)) to the form b*j**3 + n*j**2 + v + r*j and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -38760185970760?\nAnswer: -38760185970764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57740 is divided by 464.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 plus -4.38?\nAnswer: 107.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**14*g**(-10)*(g**(-2\/7)\/g)\/(g*g**(-9)))**(1\/44) assuming g is positive.\nAnswer: g**(41\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/7564 and -5\/124.\nAnswer: 7564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f**3 - 8*f**2 - 5*f - 4. Let i(n) = 13*n**3 + 17*n**2 + 11*n + 9. Suppose 0 = -4*z - 5*u + 51, 51*u - 48*u = -5*z + 54. What is z*q(d) + 4*i(d)?\nAnswer: -2*d**3 - 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -166464098 by 727.\nAnswer: -228974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22115\/6 + 3703. Let g be (-447)\/2*2\/(-3). Find the common denominator of c and 0 + (g\/27)\/(2\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/35 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -47 + -22 + 31?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -p - 288, -p - 242 = -4*g - 6*p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11465080.\nAnswer: 2, 5, 11, 71, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*m)*(-2 + 4 + 0)*(4 - 1 - 1) + (m + 2*m - 4*m)*(2 + 1 - 1) - 4*m + m + m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -2065?\nAnswer: -2065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/660 - 5*w**4\/132 - 25*w**3\/66 + 6*w**2. Factor n(r).\nAnswer: -(r + 5)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41923281.\nAnswer: 3, 1021, 13687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 - 4*b - 1. Suppose -3 - 7 = -2*d. Suppose 65 = 3*w + d*s, -2*w - 2*s = 3*w - 83. Calculate the lowest common multiple of w and t(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 6. Let j(w) be the second derivative of 5*w**3\/6 - 11*w**2\/2 + 6*w. Let p(d) = 14*d - 32. Let v(h) = -17*j(h) + 6*p(h). Give -3*q(y) - 4*v(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15550, 15593, 15674, 15805, 15998, 16265, 16618, 17069?\n\"Answer: 2*j**3 + 7*j**2 + 8*j + 15533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(0 - 8 + 1)*(0 + 0 + 2*h)*(-1 + 1 - 2) to the form v*h + y and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -523, -2342, -5579, -10234?\nAnswer: -16307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:11 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -10. Suppose 0 = -73*k + 69*k + 72. Suppose 0 = r + m - k. Solve -r*i = 3*a + i + 3, 4*i - 14 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t + 4. Let u be d(5). Suppose -5*i = u - 9. Let o = -13 - i. Let z(j) = -j**2 - 4*j - 3. Give z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/26)\/((-10)\/80). Let i = d + 170\/91. Let p = 13.27 + -0.27. Is i smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.073 + 30.927. Let r = -3348003 + 3348033.99966. Let q = r - h. What is q rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2*h + 5*h)*(-18*h**3 - 9*h**3 + 7*h**3).\nAnswer: -80*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -427.69 to the nearest 10.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 0 (c) 1\/6 (d) -0.388 (e) -3\/8 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/7 (b) -2\/9 (c) -0.2 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, 2\/9, 2\/15, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -129*f - 1974. Let r be b(-16). What is the highest common factor of r and 4650?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z + 7. Let b be r(3). Let d(c) = 17*c**2 - 2*c + 1. Let a be d(b). What is the highest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149\/(-596))\/(4\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3. Let s(v) = v + 8. Let d(n) = -8*b(n) + 3*s(n). Let f(z) = -1. Let r(o) = -5 + 2 + 13 + 2*o. Let q(p) = 10*f(p) + r(p). What is d(q(w))?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - sqrt(136)*-4)*5)\/(sqrt(16)\/sqrt(162)).\nAnswer: 234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8ca (base 13) to base 11\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691 (base 12) to base 16.\nAnswer: 3cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-4)*(-4)\/((-24)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -18 + -33 + 28 - (-1 - 1 - 2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-12) - 3)\/(2\/(-12)). Suppose -u = -2*u + o. Let g be 1\/((-1)\/(-24)) - 2. What is the greatest common divisor of g and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 903\/4 + -218. Find the common denominator of -39\/10 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 11*x - 8. Calculate z(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35544 is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16779, -0.5, 0.02, 4\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.02595722 to four dps.\nAnswer: -6.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2760 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*l**2 - 87*l**2 + 42*l**2 - 109*l**2.\nAnswer: -263*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40414 (base 5) to base 11.\nAnswer: 1a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -303044264, -303044266, -303044268, -303044270, -303044272?\n\"Answer: -2*k - 303044262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 183, -0.14, -8?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*b + 0*b = -15, 5*f - 2*b = 9. Let m(g) = -2*g - 16. Calculate the remainder when m(-10) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33170 + 32328.45. Let n = h - -1.55. Let j = 839.999441 + n. Round j to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 523 - 523. Solve 2*b + v + 3 = -3*u, -2*b + 3 = u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let m(q) = 480*q**2. Let g(a) = -41*a**2 + 14*a**2 - 10*a**2. Let l(d) = -40*g(d) - 3*m(d). Give b(l(n)).\nAnswer: 80*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/104)\/((-18)\/(-16))*(1 - 16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Solve 2*q**4 + 4988*q**3 + 816664*q**2 + 10605700*q - 2369475354 = 0 for q.\nAnswer: -2319, -109, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyqzjqqzqqzzyqzjqy. Give prob of sequence jq.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oos when three letters picked without replacement from {d: 5, y: 1, l: 1, s: 2, o: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z = -20. Suppose -2 = -o, 3*r - 11 = 4*r - 5*o. Let x = -0.9 + 0.5. What is the nearest to -0.2 in z, x, r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00456083587 rounded to 5 decimal places?\nAnswer: 0.00456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 1. Let r(h) = -8*h**3 - 3. Calculate 2*r(k) + 7*w(k).\nAnswer: 5*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64266.\nAnswer: 2, 3, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (4 - 9))*1828. Let m = k + -4723. Suppose -959 - m = -4*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 4. Let h be m(-6). Suppose 368 = -h*p + 10*p. Suppose -p = -4*v + 3*b, -v - 5*b - 42 = -5*v. Which is greater: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - -0.08. Which is the closest to q? (a) -0.4 (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 2*x**2 - 3*x + 3. Let y be p(2). Let m = -76 + 78. Put m, y, 5 in descending order.\nAnswer: 5, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = y - 4106, -y - 4*o + 4112 = 0. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 28*j + 3. Let h be m(-21). Let u = h + -138. Solve u*b + 2 = 11*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 17206 = 8*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/8)*y\/(y\/(y*y*y**(1\/5)\/y*y*y))*(y*y\/y**(1\/4))\/y**(-4) assuming y is positive.\nAnswer: y**(373\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 2099706.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92869\/3 - 30694. Let z = w + -263. What is the smallest value in -4, -0.4, -0.06, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000308339776 rounded to 7 dps?\nAnswer: -0.0000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8445 - 1.16023. Round g to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x**3 + 2*x**2 - x - 5. What is the tens digit of o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s + 80. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 11*b + 2315241. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-4\/3))**(-14\/9))**46)**(3\/26))**(5\/4) assuming s is positive.\nAnswer: s**(1610\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-18 + (3 - -9) + 0 + -5) - 23.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 3. Let y(l) = -l**3 + 5*l**2 + 5. Let a be y(5). Which is smaller: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 5.\nAnswer: 116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/(-169) - 67\/(-13). Solve 4*w = l*f + 3, -2*w - f = -5*f - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-6))\/(5\/(-15)). Which is greater: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27714.08 microseconds to milliseconds.\nAnswer: 27.71408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 3*g - 4. Let h(u) = 7*u - 28. Let f be h(5). Suppose 6*o - f*o = 1. Let j(x) = x**2 - x - 1. What is o*z(d) + 2*j(d)?\nAnswer: -2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000001 (base 2) to base 12.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 1236 + 12*l + 1406)*(-5*l + 7*l + 3*l).\nAnswer: 50*l**2 + 850*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + h = -2 - 5, 4*h = -3*i + 32. Suppose -i*n - l + 3*l = -88, l = 4*n - 88. Calculate the remainder when 63 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n + 0*n**3 + 1\/2*n**4 + 0*n**2 + 0 - 13\/10*n**5. Find the third derivative of t(p) wrt p.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*v + 36 = 263*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 139*u\/2 + 19321\/4.\nAnswer: (u - 139)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2, -1, -1\/1345, 0.4 in descending order.\nAnswer: 0.4, -1\/1345, -2\/11, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 0)*(-2 + 0 + 0) - 6 + 3 - 2 + 264 + 55 - 37)*(2*h + 0*h - 3*h) to l + o*h and give o.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101110101000 + -1110?\nAnswer: -10111101110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388316*x = -388327*x + 418 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:12 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 11*m - 10. Let i be h(12). Find the second derivative of 7*y**2 - 4*y + 8*y - i*y wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 69, 67, 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + 190\/(-20))\/(-2) + (-21)\/(-4). Sort 0, 431, -3, i in decreasing order.\nAnswer: 431, i, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*b + 0 - 111\/5*b**2 - 1\/5*b**3.\nAnswer: -b*(b + 1)*(b + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 268280 and 20.\nAnswer: 268280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-15)\/((-45)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -114. Find the common denominator of (-2233)\/220*6\/g and 11\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 31*g**2 - 23 + 34*g**2 - 63*g**2 - 11*g**2 + 11*g**2.\nAnswer: 2*g**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, -20, -70, -144?\n\"Answer: -12*a**2 + 10*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 2. Give r(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 + 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 53*c - 17*c + 25*c + 16*c - 1019 + 1028. Let r(x) = 19*x + 2. Give 2*n(f) - 9*r(f).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -3)\/42*-187181. Let p = a + -13377. What is the common denominator of p and 29\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 16. Suppose -k*g - 33 = -7*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98966609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (3 + -4)*1. Find the third derivative of 5*l**a - l**4 + 12*l**6 + l**4 - 19*l**6 wrt l.\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100001010001 - -111001000?\nAnswer: 10101000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 15179 (c) -2\/11 (d) 1953\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -510*v**2 - 12*v - 12. Determine c(-1).\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*q**4 - 46*q**4 - 90*q**4)*((-3 + 5 - 4)*(-2 - 4 + 5) - 4 + 2 + 0 - 3 + 2 + 0)*(4 - 7 - 1).\nAnswer: -696*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116999949 and -0.488?\nAnswer: 116999948.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12310*r + 221524. Determine f(-18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + (sqrt(2736) - (sqrt(2736)*-1 + sqrt(2736))*5) + (sqrt(2736) + -4*(sqrt(2736) + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 0)))))**2.\nAnswer: 24*sqrt(19) + 134064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - 2*l**4 + 4*l**4 + (-15077*l + 10326*l + 9249*l)*(l - 3 - l + 2*l**3) to n*l**4 + m*l**3 + u*l**2 + q*l + w and give n.\nAnswer: 8998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s = -53*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 3, 1, 868, -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -280*j + 3. List the prime factors of q(-1).\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 3. Let v be c(-7). Let q(u) = -3*u**2 + 2. Let n(h) = -6*h**2 + 3. Let o(m) = v*n(m) - 9*q(m). Differentiate o(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 20 - u**4 - 11*u**3 + 12*u + 39*u**2 - 112*u**2 + 9*u**3 - 10*u**3 + 54*u**2 = 0.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t**3 - 10*t**2 + 5*t - 4. Suppose -5*v - 2*s = 7 - 40, -3*v + 5*s - 5 = 0. Suppose l + 1 = h, -h - 4 - 19 = v*l. Is 24 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3 + 9 = 0. Suppose 5*t = 5*z - 0*z - 220, -5*z - o*t = -180. Calculate the remainder when z is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -59502*k**2. Let u(o) = o. Calculate u(l(i)).\nAnswer: -59502*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1081, -1099, -1123, -1153, -1189, -1231, -1279?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031787756 to 4 decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from xrcccwcxywxcwrrctww?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3139?\nAnswer: 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*l)*((-3 - 2 + 7)*(-2 + l**4 + 2) + 2*l - 2*l + l**4 - l**4 - 3*l**4 + 5*l**4).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81 + 0.28?\nAnswer: 1.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -103a (base 11) to base 8\nAnswer: -2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -199924 + -2495.\nAnswer: -202419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t**3 - 10 + 10 + 63*t**3.\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 2 - sqrt(7))*4 - -5*(0 + sqrt(847)).\nAnswer: 8 + 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 8*g + 202 - 29 - 75.\nAnswer: 8*g + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1492*l + 8 + 29*l**3 - 1490*l + 0*l**2 + 2*l**2 + 2979*l to g*l**3 + y*l**2 + s*l + b and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -739689937141 and -90?\nAnswer: 739689937051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018 - -79050272.\nAnswer: 79049254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 - 28931*p\/2 - 14465.\nAnswer: -(p + 1)*(p + 28930)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58008 and 57032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 48. Let u = o + 20.59. What is u rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*-2) - -6*sqrt(95)\/sqrt(5)) + -5*((sqrt(1900)*-3)**2 + sqrt(1900)) + sqrt(1900).\nAnswer: -85500 - 69*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 3*n + 1066 = 0, 2*n - 4284 = -4*w. Suppose 4*y + w - 4672 = 0. Round y to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20001270 to the nearest 100000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 30*v + 2. Let k be o(3). Suppose 4*d - j = 95, -3*d = d - 4*j - k. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80371 and 179?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*a)*((-2 - 19 + 0)*(-4 + 0 + 3) + 1 - 1 - 2).\nAnswer: -76*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142057.\nAnswer: 19, 218003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 980455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*m - 1 = -7, -4*m = 2*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xuuuuuxxuxxu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1745 + 2855. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002421184 to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -96\/7*r - 18\/35*r**5 + 3\/28*r**4 - 1\/14*r**6 - 63 + 0*r**2 + 38\/7*r**3. Solve n(c) = 0.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -22*k + 6. Let g(j) = -j - 61. Let d(q) = -27*q - 239. Let h(o) = d(o) - 4*g(o). What is -3*f(a) + 4*h(a)?\nAnswer: -26*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 - 8*n**3 + 14*n + 4*n**3 - 8 + 4*n**2 - n**3. Let j be z(6). Suppose u = -7*l + 2*l + 34, 4*u + j = 0. Sort -5, l, 0.\nAnswer: -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 0*g + g)*(-g - g + g + 2*g - g + g + (2 - 3 - 1)*(-2*g + 2*g - g))*(-4*g + 3*g - 2*g).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.332 - 0.032. Let l = f + 1.9. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 474121658*p**2 - 348*p + 303819 wrt p?\nAnswer: 948243316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -513 - -1307. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -6. Let y be (-3)\/((-5)\/((-320)\/6)). Calculate the smallest common multiple of 35\/(-14)*y\/10 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 13*h + 2. Suppose -2*i - 12 = 2*i. Let g = 6 + i. Does 16 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-15\/7)*f*f**(-2)*f**(4\/3))\/(((f*f\/f**(-2\/5))\/(f**(-5)\/f))\/((f*f**(-2\/5)\/f*f*f)\/(f*f**(-2\/9)))) assuming f is positive.\nAnswer: f**(-1607\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from ggglgllglggglglgggl?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13067?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1047 and 123197.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t - 3*t + 2*t. Let z(x) be the third derivative of -24*x**2 + 0*x**3 + 0 - 1\/12*x**4 + 0*x. Calculate z(r(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 9. Let c(l) = -5 - 7*l + 4*l + 2*l. Let d(z) = 11*c(z) + 6*u(z). Let f be d(3). Let r(h) = -h**2 - 2. Calculate r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*p + 32 = 0. Solve -5*k = -5*q + 25, 5*q - p*k - 20 - 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l - 33*l + 387*l - l - 4*l + 4*l + (0*l - 2*l + l)*(-4 + 0 + 5) - l + 0*l + 0*l - 3*l + 3*l - l)*(1 + 2 + 0).\nAnswer: 987*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hq when two letters picked without replacement from {y: 1, j: 3, h: 6, q: 6, m: 1}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3\/28, 1\/4, 2?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7656, 15929, 24212, 32511, 40832, 49181, 57564, 65987?\n\"Answer: n**3 - n**2 + 8269*n - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19104115.\nAnswer: 5, 53, 72091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2574533 (base 8) to base 10\nAnswer: 719195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 19, 0.3, -3\/8, -5 in decreasing order.\nAnswer: 19, 0.3, 2\/13, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7446 = -13*l + 182236. What are the prime factors of l?\nAnswer: 5, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1033*t + 1057*t = 221 + 283 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1239*j**3 - 2476*j**2 - 840*j - 1684. Give i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.69. Round f to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9417 and 512259.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 4:52 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h + 8. Let v be p(-8). What is the common denominator of ((-1110)\/111)\/(1 - 25) and (-85)\/v + (-6)\/(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/360 + p**5\/180 - 18*p**2. Factor v(l).\nAnswer: l**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 + -0.24000028. What is i rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927535067.\nAnswer: 19, 154080793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10395 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (-3*sqrt(117)*3)\/sqrt(9))**2.\nAnswer: -18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 37*u**2 + 4*u - 1267. Calculate y(-38).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*j = -3403 + 988. Solve -l + j = 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -42095683.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 63 = -5*m - 9, 0 = 3*p - 4*m - 27. Suppose 0 = -p*o + 4655 - 1275. Is 26 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1243 - -1352. Suppose 0 = -2*c - 3*j + 47, -4*c - 3*j = -c - 75. Calculate the remainder when i is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 - a**3\/3 - a**2 - 3*a. Let z(b) = 6*b**3 - 11*b - 11. Determine -22*j(g) + 4*z(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56, 119, 192, 275, 368?\n\"Answer: 5*i**2 + 48*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + 2*q**2 + 0*q**2)*(11*q + 7*q - 2*q)*(-2*q + 3 + 0 - 5) to u*q**2 + o*q**4 + r*q**3 + k + t*q and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*j**2 - 3*j**4 + 230*j - 228*j - 3604 + 3607 + 30*j**3 to g*j**3 + c*j**4 + o*j**2 + f + m*j and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37347, 149377, 336093, 597495?\n\"Answer: 37343*i**2 + i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from mzcmcmmmz?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1111*f - 628. Let l(n) = -3338*n - 1882. Let a(x) = -3*l(x) + 8*w(x). Differentiate a(h) wrt h.\nAnswer: 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7274, 7103, 6932, 6761, 6590?\nAnswer: 6419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762177.\nAnswer: 3, 13, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/18 and 40\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18313 is divided by 441?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or -0.0223219?\nAnswer: -0.0223219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 3*z - 8*z**2 + 14*z**3 + 9*z + 8 - 15*z**3. Let r be x(-9). What are the prime factors of 100\/((-9)\/((-36)\/r))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2188.4 from -1504.5.\nAnswer: -3692.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*p + 616 = 86*p. Suppose 3*u = 7*u + 24. Let c(q) = -q**2 - 6*q + 8. Let b be c(u). Calculate the greatest common divisor of b and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 + 4*p + 18. Let g be w(-5). Calculate the remainder when 324\/7 - ((-60)\/35 - g) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*i + 40*i + 63*i)*(-228 + 228 - 9*i).\nAnswer: -459*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25\/7 - -118\/35. Which is the fourth biggest value? (a) -0.4 (b) 4 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 777449907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/3, 0.0354, -4, 6266.6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 25*r**2 + 52*r + 4 = 0?\nAnswer: -2, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 30 + 9. Sort r, -5, -0.1, -0.5 in decreasing order.\nAnswer: r, -0.1, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 21*h - 2 + 0 - 27*h. Let f be g(1). Let d(x) = 3*x**2 + 7*x - 4. Is d(f) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - 4) + 11 + 4 - (-5 - 6 - -86).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:27 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/24 + r**3 - 4*r**2. Let i(p) be the first derivative of n(p). Let u(q) = -q + 3*q - 4*q. Give u(i(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 54. Factor -3*n**3 - d - 98*n**2 + 52*n**2 + 55*n**2 + 0*n**3.\nAnswer: -3*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.06000286. What is d rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 421 = -4*v, 4*b - 209 = -2*v + 5*b. Suppose -f - 3*f + 108 = 4*m, 0 = 4*m + 5*f - v. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 1 + 4 - 3. Let n(w) = 17*w**2 + 20*w**2 - 61*w**2 + 18*w**2. What is p(n(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a. Let w(j) = -j**2 - 6*j. Suppose 2*t - 4*t = -8, 0 = 5*b + 3*t - 37. Suppose -20 = b*s, f + 5*s + 31 = 5. Give f*x(c) - 5*w(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15421*b + 31102*b - 15682*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(68) + -3 + sqrt(68) + -1 - sqrt(68)) - (5*1*sqrt(68) + -4*(sqrt(68) - (sqrt(68)*-2 + sqrt(68)))))**2*1.\nAnswer: -640*sqrt(17) + 4756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(572)\/(2*sqrt(11))*-4)**2 - ((sqrt(117)*2*-4)\/(sqrt(9) - (sqrt(81) - sqrt(81)*-3)))**2.\nAnswer: 24941\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 greater than -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*-6*(sqrt(720) - (sqrt(720) + 0 + -4))**2*-3*3 + -4).\nAnswer: 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Let o(j) = 2*j - 3. Let t be o(i). Solve t*c + 1 - 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -23.91.\nAnswer: -119.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (18 + -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-63)\/(-175))*(-77)\/(5775\/(-90))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11262.8 times -52.59\nAnswer: -592310.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603.449l to millilitres.\nAnswer: 603449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 6. Let p(d) = -3*d**2 - 8*d - 10. Let s be p(-2). Calculate m(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)*j*j*j*j**(2\/19))\/(j**(-4)*j*j*j\/j**(-7)))\/((j\/j**(2\/9))**(-1\/5)*j**(-7)*j**(3\/2)\/j) assuming j is positive.\nAnswer: j**(48437\/11970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = 756. Let h = -996 + 516. Let n = j - h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3913 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5398 + 15598 = 0. What is q rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Suppose -t - 4 - 2 = o. Let r = -11 - t. Sort 1, r, 0 in decreasing order.\nAnswer: 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -6*h**3 + 27. Let n be 2\/((-4)\/162*(4 - 1)). Let w(x) = -x**3 + 4. Give n*w(l) + 4*a(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 109 (b) 0.106 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6678 - -6831. What is the lowest common multiple of l and 477?\nAnswer: 8109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 72\/5, -3, -49\/13, -26.5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*a**5 - 2\/11*a**4 + 0*a**2 + 0*a + 0*a**3 + 0.\nAnswer: -2*a**4*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n - 2 + 2 - 2 + 6*n. Give l(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.0284 + 1.07. Round q to three decimal places.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a day in minutes?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/3))\/j*j*(j*j*j**(-6\/7))\/j*(j*j\/(j*j**(-3))*j*j*j)**49)**(-1\/57) assuming j is positive.\nAnswer: j**(-7241\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 885. What is the remainder when y\/9 - (-6)\/27 is divided by 14 - 3\/((-6)\/8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -334*r*x**2 - 9*r*x - r + 54*x**2 - 217*x wrt x.\nAnswer: -668*r + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1613564 (base 7) in base 2?\nAnswer: -110110010000000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 4. Suppose -2*n = -x*m - 63 + 7, 50 = -4*m - n. Let i = 28 + m. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6558 and 6557 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 25. Solve 4*d = -d + h for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**3\/m)**(-31\/2)*(m**(-1\/4))**(-49) assuming m is positive.\nAnswer: m**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/3 + -1)\/(10\/(-15)). Solve w - 20 = 6*w + d*q, 15 = -4*w - 5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498008 is divided by 99517.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + (sqrt(432) + sqrt(432) + sqrt(432) + 1)*-1 + 0 + (sqrt(432) - (sqrt(432)*-2 + sqrt(432))) + -2)**2 + 5.\nAnswer: 192*sqrt(3) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/4, -3\/2, -0.5, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3275 - -3271. Sort s, 308, 3 in increasing order.\nAnswer: s, 3, 308","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 8:21 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*t + 35 = -4, -2*z + 4*t + 24 = 0. Let a be -1*(2 - (z + 0)). Suppose a*b = -3 + 199. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 - 516. Let g = 471 + h. Suppose -5*n + q + g = -q, -2*q = n - 52. What are the prime factors of n?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 5:09 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 8. Let c be 4\/q + (-11)\/3. Let h = -10415\/9 + 1157. What is the second smallest value in h, 0.3, c, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 16. Suppose 2*m + 2*i = 33 - 11, 5*m - 63 = n*i. Let l = m + 10. Calculate the lowest common multiple of 12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -8 (c) -3 (d) -4\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(931) - (0 + sqrt(133)\/sqrt(7)))**2*-2.\nAnswer: -1418 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3800796 and 1692.\nAnswer: 11402388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = b - 2*b. Let v = -13 - b. Find the common denominator of (-34)\/(-4)*v\/77 and 25\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -109. Let n = j - -149. Suppose 0 = -5*h + 685 - n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a*(a**(-4)\/a)\/a)\/(a**(1\/2))**(-22) assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16563782.9 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*f + v, 4*f - 5*v - 20 = -v. Suppose -6*k + f = -4*k - b, 5*k = 5*b + 5. Find the second derivative of -3*c - 6*c + 5*c**k + 12*c**5 - 10*c wrt c.\nAnswer: 340*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) 8\/5 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10956 and 1308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -3, 284?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and -0.23556 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 + (1 + -2 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/91)\/(2 + 21\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - ((-9 - 0) + (69 - 57))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 + 9*a**4 + a**3 - 9*a**2.\nAnswer: -a**2*(a - 9)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1565 + 1570 - 3143. Calculate s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -25\/4, 0.1, 40?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 321 - -189. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t + 22. Let m(p) = -4*p - 23. Let o(q) = -6*d(q) - 7*m(q). Let u be o(12). Solve -u*s + 2 = -3*f - 1, 4*f + 4 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 906818118 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*l - 81. What is the remainder when 28 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-5)\/65)\/((-11)\/(-154)*-14)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 208104 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2760 and 1001052?\nAnswer: 10010520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430515 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -3*w. Suppose -3*t - w*v = -v - 381, t - 127 = v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 9 = 0, 6*z + 2*w - 11 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1290772 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -186270 - -265691. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 5. Calculate the greatest common factor of r and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = l + 63, 0 = 5*w + 2*l + 2 - 71. What is the remainder when 39 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417148389 and 52971224?\nAnswer: 3337187112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 74 + 4*z + 7*z - 4*z + 347 - 115.\nAnswer: 2*z + 306","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:04 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (3 - -7) + 1 - 8 - (-1 + -95)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216.3 - -216. What is the second smallest value in 0.4, g, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.229611 years?\nAnswer: 0.03229611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 11*s + 11. Let n = -26 + 20. Let i be 280\/24 + (-2)\/n. What is the tens digit of p(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -11*p + 8*p + 2*p**2 - 1 - 1 - 2. Let t(r) = 5*r**2 - 8*r - 11. Give 11*d(b) - 4*t(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*f + 32*f + 35*f + 46*f + 35*f - 89*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22010202 (base 3) to base 4\nAnswer: 1130231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48138392 to the power of 1\/2, to the nearest integer?\nAnswer: 6938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*m - 39 = -71*m + 3*o, 0 = 4*m - 11*m - o - 45 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6266 and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*t**3*y - 1193*t**3 - 94673*y wrt t?\nAnswer: -75*t**2*y - 3579*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20578, -82324, -185236, -329314, -514558?\nAnswer: -740968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2829*q = 2886*q - 5016 for q.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 222101101222 (base 3) to base 7\nAnswer: 4262060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -7)*4\/(-5). Suppose 3*c - 3 = -r*v, 2*c + 0*c = -5*v + 2. Put -1, v, -2 in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2, -23, -82, -197, -386?\n\"Answer: -3*k**3 - k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32538221?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n + 4. Let p(a) = 12*a - 7. Let b be ((231\/(-44))\/(-1))\/(6\/8). What is b*t(x) + 4*p(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*j = -3*j + 14, 4 = j. Let p = 4 - o. Let t be (-98)\/16 + p - -3. Is t less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkwkwkwxkkykkkxxkww. Give prob of picking 1 y and 2 k.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -167072.2 to the nearest 100.\nAnswer: -167100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -58198580 to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose 78 = 54*i - 41*i. Solve -y = -h + i, 20 = o*y + 3*y + 5*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/30 - ((-21)\/693)\/(20\/3702) and 6\/(-3) - (-45)\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17649 + 17650. Which is the closest to n? (a) 2 (b) -4 (c) -5\/7 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0036046 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 1. Let a be n(-4). Let d(y) = y - 27. Let q be d(0). Let r be q\/18*10\/(-3). Solve -a*w - 25 + 10 = 5*l, 25 = 5*w - r*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7690425 grams in tonnes?\nAnswer: 0.0000007690425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from {a: 5, o: 3, k: 2, d: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 29624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4*o**5 + 74612*o**4 - 1267216*o**3 - 597744*o**2 + 25939008*o + 42937344 = 0.\nAnswer: -3, -2, 6, 16, 18636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2675*u**2\/4 - 5335*u\/2 - 30.\nAnswer: 5*(u - 4)*(535*u + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 846 - 458. Is p\/16*8\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 104630 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1650611 (base 7) to base 14\nAnswer: -60178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(11\/4))**(-12))**(-5\/17) assuming s is positive.\nAnswer: s**(165\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 2135?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6*t - 9 = 0. Let n be 1\/3 + 33\/t. Solve 3*o = 7*o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-10))\/(2\/(-20)). Let i(f) = f**2 + 5*f - 1. Let y be i(t). Let p = 24.5 - 25.5. Which is the nearest to 1\/2? (a) p (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v**(-16))\/v*v*v**(-8)*v*v*v*v assuming v is positive.\nAnswer: v**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Solve 12*h - 4*m = -11*h + 25*h - 4, 3*h - 6*h + 11*m = 45 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555*n + 85693 - 85693.\nAnswer: 555*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 21*r = -5*g - 1, 5*r + 5*g = 55. Let a(i) = -i**3 + 11*i**2 - 6*i - 19. Is a(r) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**4\/6 + t**2 + 75*t. Let o be -2 + (6 + -1 - 0). What is c(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112129 is divided by 428?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -22*w - 1540. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o*o**(-4))\/o))**(12\/5)*(o**(1\/22)*o)\/(o**32*o) assuming o is positive.\nAnswer: o**(-2459\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {d: 1, c: 1, u: 5, t: 1, z: 3, w: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 - 223.4. Which is the smallest value? (a) s (b) -0.6 (c) -0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1467, -21, 5 in descending order.\nAnswer: 1467, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/26, 0.5, -5, -4 in decreasing order.\nAnswer: 0.5, 9\/26, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291.01 + -291. Let t = 319 - 315.99. Let s = l - t. Which is the closest to 0.1? (a) 2\/5 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 - 54 = 0. Suppose 7*k = -g + 4*k + 36, -2*g + 2*k = -n. Let w = g - 13. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4 - 6. Let r be 3\/(-6) + (-1)\/x. Let p(i) = -6*i - 35. Let v be p(-6). Which is the nearest to v? (a) r (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.4345597 + 0.5.\nAnswer: 45.9345597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -2\/3, 0.1, -0.045?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(16\/(-50))\/(-4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1320615 + -1320646.50286. Let s = p - -31.5. What is s rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 23*v + 75. Let d be s(23). Which is greater: d or 0.06?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1.921242.\nAnswer: 0.5763726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/10419 and 10\/20515011.\nAnswer: 20515011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37 in 0.041, -5, 3, 0.2, -0.1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:44 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24662 + -45?\nAnswer: -25040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5894\/19 + 5898\/19*a**2 + 11790\/19*a + 2\/19*a**3.\nAnswer: 2*(a + 1)**2*(a + 2947)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829984 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7695 divided by 513.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35211.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k - 37*k - 7*k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53354 and 2882558?\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-2 + 2 + 4*p) + (0 + 0 + p)*(3 + 5 - 2)*(0 + 3 - 4).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 2*x - 35, 3*y + 3*x + 40 = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 101?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36097 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*9\/45.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1788, 0, -1780, 2, -2 in decreasing order.\nAnswer: 1788, 2, 0, -2, -1780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*r + 109*r + 5*l - 19 = 0, 3*r + 4*l - 38 = 0. Solve 2*g + r*g = 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -92, -80, -62, -38, -8, 28?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3872 + 198*q**2 - 182*q**3 + 180*q**3 - 20*q**2 - 4048*q = 0?\nAnswer: 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.184 - -6\nAnswer: -17.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**5\/100 + h**4\/20 - 2*h**2\/5 + 28*h. Factor c(t).\nAnswer: (t - 1)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20925 and 4836.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -8\/7, 2\/55, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1462724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2, -37.7?\nAnswer: -37.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2540 and -38.1.\nAnswer: 96774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/(-3)*(11 - 14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (61664\/(-52) - 4) + (-4)\/26. Suppose 1664 = -2*u - 2*i, -u + 2*i = -5*u - 3324. Let k = u - o. Round k to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49797 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*w + 44 = -2*w, -4*i + w = -83. Let o = -7 + i. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -4. Suppose 3*h = 0, 4*r - 2*r - 3*h = 140. Let d = 48 - r. Is j at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - (-211 - -200).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -6.22.\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -15100.197 to the nearest ten.\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 8*n + 3*n. Suppose -7*v + 2753 = -3*v + 5*o, 2*v - n*o = 1369. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37503*l**2 - 2698134 wrt l.\nAnswer: -75006*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0685 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 + -118. Solve -4 = 2*o - 0, -y + o + g = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016311 to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13871 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/(-11))*-2. Suppose v*z - 7*z = -4. Put z, -9, 5 in increasing order.\nAnswer: -9, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 1\/3, -4, 1.07, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*z = 45*z + 180. Suppose 13*l = l + z. Suppose -5*v + 6*t + 103 = 3*t, 78 = 4*v + 2*t. Solve -l*i = -4*b + v, 5*b + 5*i + 8 = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -625*m**3 + 119418*m**2 + 179834490?\nAnswer: -1875*m**2 + 238836*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5527074 - 3627062. Suppose -3*l - k - 998080 = 4701923, -l - 4*k = c. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/30 - 5\/((-100)\/(-8)). Let i be (-2)\/(-6) + (-40)\/(-15). Suppose -x + i*x = 0. Which is smaller: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*t**2 + 19*t**2 + 43*t**2)*(1 + 0 + 8).\nAnswer: 243*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -14) + -10)\/(3 - (-118)\/(-40))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*s**5 - 119*s**2 + 7060*s wrt s.\nAnswer: -400*s**3 - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*s - 13*s. Suppose 3*j = -5*f + 23, j - s = -j. What is the least common multiple of 11 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5\/7 - 842*p**4 + 99752*p**3\/7 - 386696*p**2\/7 - 188224*p\/7 + 2062720\/7 = 0. Calculate p.\nAnswer: -2, 4, 11, 2930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 6*t + 2*t)*(-1 - 3*t + 1) + (-2 + 0 - 1)*(-23 + 21 + 6 - 15*t**2).\nAnswer: 51*t**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-20) + 54\/10. What is the third derivative of 156*s**2 - 66*s**2 - 8*s**x - 67*s**2 wrt s?\nAnswer: -480*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293873 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l + 113. What is j(-41)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25.547 - 27.547. Put -8, 0.1, 0.09, c, -4 in increasing order.\nAnswer: -8, -4, c, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 55 = -8*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*f = 8779 + 7751 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 6 - -3) + -7 + -42 + 9\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/57)\/(-3*8\/144)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 254, 256, 258, 260?\n\"Answer: 2*b + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 6, -2*o - 232 = -2*m + 14. Let t(v) = 16*v**3 - 2 + v + 0*v + 6*v**2 - 6*v**2. Let u be t(1). What is the highest common divisor of u and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-6) - 219\/2. Let t be (-14 - -2)\/((-2)\/(-28)). Let n = h - t. What is the remainder when n is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60\/6 + 96\/176*11 + (-6 - 51)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 7. Let c(z) = 6*z - 6. Let a be c(2). Let h(d) = d - 1. Give a*h(q) - t(q).\nAnswer: 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 1.182, 5 in descending order.\nAnswer: 5, 1.182, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*i - 5*i + 2*f, -3*i + 15 = 3*f. Suppose -39 = -h - w, -h + w + 33 = i*w. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3 - 13862*m**2 + 27730*m - 13866 = 0.\nAnswer: -6933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538536 is divided by 877?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 25 = -23*q - c, -4*c = 3*q - 74. Suppose -39 = r + 2*b + q, -4*r - 270 = 3*b. Let w(d) = 7*d - 5. Let y be w(-9). Which is greater: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 + 0 - 1\/390*l**5 - 1\/156*l**4 + 5*l**2 + 1\/780*l**6 + 1\/1365*l**7 - 2*l. Factor f(w).\nAnswer: 2*w*(w - 1)*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5 + 4*h - 2 - 2. Let f be ((-2)\/6)\/(1\/3). Calculate w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*b**2*v**5 - 2*b**2 - 19*b*v**5 - 2*v + 404 wrt v.\nAnswer: -740*b**2*v**3 - 380*b*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 2*i - 2. Let o be r(-2). Let n(k) = 8 + 0*k - k**o + 3*k - 3*k + k. Let a(g) = -g**3 + 23*g**2 - 24*g + 44. Let p be a(22). Give n(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Let c be 6\/(-15) + 77\/q. Let s(x) = -4*x**3 + 228*x**2 + x + 48. Let z be s(57). What is the greatest common factor of z and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f\/(f**(-4)*f))*f**(2\/23)*f)\/(((f**(2\/7)\/f)\/f)\/f**(-1\/7)))**(2\/15) assuming f is positive.\nAnswer: f**(-754\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82185 is divided by 198?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1\/2 (c) -18.3 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5046063849?\nAnswer: 3, 277, 2024093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - t + 41 = -2*y, 7 = -y - t. Let s be 15*3\/6*y\/(-36). Which is the second smallest value? (a) -3\/7 (b) -5 (c) s (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r**2 + r + 1. Let p(j) = -4*j**3 + 6*j**2 + 15*j - 6. Let g be (1\/2)\/(1\/(-2)). Let f(z) = g*p(z) + 5*v(z). Does 11 divide f(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 6*u - 81. Let r(t) = 2*t - 1. Let h be r(3). Suppose -5*d = 5*q + h - 15, -5*q = 3*d. Solve -x - 5*a + u = -2*a, -a = x - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 432748187 and 1.\nAnswer: 432748187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5\/4 - 105*y**4\/4 - 273*y**3\/2 - 339*y**2\/2 + 549*y\/4 + 783\/4 = 0.\nAnswer: -29, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50470638.973 - 0.\nAnswer: -50470638.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4 - -80) + (191 - 159).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 + 9*j + 22. Calculate the remainder when 271 is divided by k(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112455838*p**2*y**2 + 2*p**2*y + 6*p*y**2 - 1126146*p*y + 5*p wrt p?\nAnswer: -224911676*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b - 10*b = 12 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -33*h**3 + h**2 + 218*h - 820. What is z(4)?\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/8*4\/(-24). Solve f*y**2 + 0 - 1\/2*y = 0 for y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-598)\/(-1*(5 + -4)). Find the first derivative of -192*z**3 - 72 + 598*z - q*z wrt z.\nAnswer: -576*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-480)\/(-9) - 10\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/224, 0.3, 4 in decreasing order.\nAnswer: 4, 0.3, -19\/224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 - -335353?\nAnswer: 335215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 3. Let s(v) = -18*v - 7. Determine k(w) + s(w).\nAnswer: -19*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -279 + 5028*f - 5024*f - 234 to i*f + w and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 4*m**2 - 4*m - 2. Let r be q(-2). Let z(j) = -2*j - 14. Let u be z(-5). Put 2, u, r in ascending order.\nAnswer: u, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 + 8*q - 8. Suppose 4*n + 12 = 56. Suppose t = -f + 8, -3*t + n + 9 = -f. Is r(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69092874979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3368 + 6764 - 316*t - 3396 - 554*t.\nAnswer: -870*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20372\/220 - 2\/(-5)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - 1. Let s = u + 12. Solve 3*j = -2*l + 2*j - 1, -3*l + 3*j + 21 = s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -16. Which is the nearest to -0.1? (a) 0.3 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4\/3 - 16*l**3\/3 - 23*l**2 + 14*l\/3 + 392\/3 = 0.\nAnswer: -7, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, k: 7}. Give prob of picking 2 t.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.59 + 0.49. Let g = 0.08 - t. Let j(p) = -p**3 + 13*p**2 + 12*p + 27. Let l be j(14). Which is the closest to l? (a) -0.1 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725179439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 182 + 2*v**2 + 26*v**2 + 10*v + 222. What are the prime factors of o(-4)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 3*w**2 - 2*w. Let y be m(4). Suppose 2*z + y = 0, -4*d + d - 2*z = -70. Is 26 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g. Let s(i) = -i + 1. Let j(z) = 2*a(z) + 6*s(z). Let f(u) = -1. Suppose -9 = -3*h - 6. Calculate h*j(x) + 5*f(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -5*u - 35, -36*u + 34*u = -4*p + 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13056734*h**2 - 26113508*h**2 + 13056775*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (462\/(-88))\/((-3276)\/208)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72540 + 72486 = 42*o. Suppose 5*w - 132*g = -131*g + 3454, -o = -5*w + 2*g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 6*m - 2*m. Let l = m - 14. Suppose -2*q - 3*q = 2*v - 27, -2*v = -q + 15. Calculate the remainder when q is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 13*r**2 + 18*r**2 - 44*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**4 + 6*r**4 - 6*r**4 + (46 - 10*r**3 - 46)*(-4 + 4 + 6*r) as m*r**4 + j*r + t + v*r**3 + z*r**2 and give m.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 836 + 3428. What is the highest common factor of 52 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 73.7 (b) 6\/5 (c) 4 (d) -3\/4 (e) 38\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1401*b**5 + 781*b**2?\nAnswer: 84060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1389 + 2767. Is c a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = -4*y + 2*y, 2*y = 2*i + 14. Let g(s) = -10*s - 71. Let t be g(-14). Suppose 0 = -y*h + t + 21. Solve -8 = 2*u, 5*p - 5*u + 0*u - h = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563681 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8101, 16189, 24277, 32365?\nAnswer: 40453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 163*d - 172*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 3, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s + 5*p, 5*s - p + 0 - 7 = 0. Let r(k) = -26*k**2 - s + 1 + 24*k**2. Let q(z) = 6*z**2. Calculate q(r(v)).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767902247.\nAnswer: 7, 587, 186883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from uckkckkuuu.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -60, -87, -126, -177, -240?\n\"Answer: -6*t**2 + 3*t - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/60 - p**4\/8 + 2*p**3\/3 + 6*p**2. Let s be w(-3). Solve 0 = -s*z + 7*z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/20 - -11\/20. Suppose -3*q = -y + q + 17, -4*y + 5 = 5*q. Let x = y - 3. Which is the nearest to 1? (a) -4 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from rwrrrrwrrr?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 54818226.45?\nAnswer: -54818222.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a millennium in decades?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 6 - (-11 - (1 + -7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030776 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 404914*b**6 - 7*b**2 + 9957*b.\nAnswer: 48589680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 2*p = 3*m + 76 + 53, 88*m = 107*m + 2*p - 519 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 9\/23 (c) 1\/4 (d) -1.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 1 - (-127 + 214)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d - 15. Determine t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/272? (a) -1\/9 (b) 0.1 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*n**5 + 2*n**3 - 2*n**2 - 25?\nAnswer: 2820*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 496.9875 from 1255.8439.\nAnswer: 758.8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81913 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919445 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -12, -23, -48, -93, -164, -267, -408?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwsu when four letters picked without replacement from {s: 3, v: 2, r: 1, u: 2, z: 4, w: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12599409707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10969991 plus 0.139328?\nAnswer: 10969991.139328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-10) + 57138\/2670?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*d = 6, -2*d - 10 = -4*l + 2. Suppose -2*p + l*p - 10 = 0. Let s be 4\/(-14) + 17\/357*27. Which is the second biggest value? (a) s (b) 4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4131737.7000006 - 4131742.7. Let q = -0.4 + -4.6. Let l = q - v. Round l to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.823 - 0.077. Let q = p - -0.9. What is the nearest to -2 in 0, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k**(2\/5)\/k*k*k)\/k)\/k)**(-8\/13)*k*k\/k**12*k**8)**(-3\/11) assuming k is positive.\nAnswer: k**(438\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7629.3572 rounded to zero decimal places?\nAnswer: 7629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-5*4\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*u - 10510 + 2122 = 156*u for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.023 + -21.01. What is the closest to 0 in v, -2, -0.1, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc + 12?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, -106\/3, 9855?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 12230945*i.\nAnswer: 12230945*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4965 = 5*m, 4*m - a = 198 + 3774. Is m a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91195 - -168338. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345417 is divided by 1395.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkbkjwjbbjwkjwbwkjkb. Give prob of sequence wjb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from euuuuuueuueuuudu?\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 2. Let n(h) = h - 1. Let q = -8 + 23. Let u = -11 + q. What is u*n(l) - o(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 1, l: 11, n: 4, i: 2, o: 1}. Give prob of sequence conr.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-18)*(-144)\/192.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/5)*f**(2\/13)\/f*(f*(f\/f**0)\/f*f)\/f*f*f**6)**(-14))**(-47) assuming f is positive.\nAnswer: f**(280308\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(16 + 1090\/260 - 20).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3065 - -5601. Calculate the remainder when o is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 47*d + 190. Give v(6).\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11040 = -16*k - 10992 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2108145 and 48659?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 + -3 + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, s: 1, i: 1, b: 12, j: 2}. What is prob of sequence asjb?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 + 4*i**3 + 13*i**3)*(2 - 2 - 12*i) - 32 + 9*i**4 + 32 to j + u*i**3 + r*i**4 + t*i**2 + p*i and give r.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 12:43 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/177 and -23\/30?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-428)\/(-2) + 10\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 160*h**3 + 4207*h**4 - 7178 - 100 - 81*h**3 - 79*h**3 wrt h.\nAnswer: 16828*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23087 + 9134. Let i = 13956.99968 + n. Let j = -4 + i. Round j to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (40 - 46 - (-2 - 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyg when three letters picked without replacement from lgvvdlvvlvyglgvvyvlw.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33178.\nAnswer: 2, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185866 times 0.8?\nAnswer: 148692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-20) + 2\/(-8). Let b = f + -1. Calculate the greatest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 7*k**2 + 6*k + 5. Give b(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8944.09km?\nAnswer: 8944090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s + 2*p = -15, -p = 2*s - 10. Suppose s*t + 1 = 6*t. Let r(b) = b**2 + 3*b - 9. Let l be r(-6). What is the greatest common divisor of t and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + d)*(-418*d**4 + 174*d**4 - 281*d**4).\nAnswer: 1050*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxt when three letters picked without replacement from qxhuxphutqpx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147 and 87.5.\nAnswer: -12862.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 + 2*k**3 - k**4)*(-205*k - 14*k + 18*k).\nAnswer: 201*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {s: 2, h: 1, q: 2, w: 1, d: 3, v: 9}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1, -2, -6\/25, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98642 by -98642.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 16 = -2*g, -3*g + p = 19. Let n be (-2)\/g*(7 + -1). Let l(z) = -z - 6. Let v be l(-6). Solve v = -n*o + 7*o - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 402788.\nAnswer: 161115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/32)\/((-83538)\/(-2808)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510 divided by 255.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 11253653?\nAnswer: -11253650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -9 (c) -77.8 (d) -1\/4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 + 56\/6. Suppose -k = -4*y + 2. Solve y - 5 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 3, 1, -1 in decreasing order.\nAnswer: 118, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -829*p**3 + 2*p**2 - 7893 with respect to p.\nAnswer: -2487*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 21. Let a = c + 5. Let i(z) = -z + 2. Let q be i(-3). Solve q*l + a = r, -2*r - 5*l = r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 8589*n**3 + 60090*n**2 + 137324*n + 102984 = 0. Calculate n.\nAnswer: -8582, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 4*h + 3. Let n be s(-4). Suppose -n*p + 8 + 19 = -3*k, 5*p - 2*k - 54 = 0. Calculate the smallest common multiple of p and 6\/(-4) + 171\/18.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 16008?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffwffdfffwfddffffff. Give prob of sequence wfdf.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/(-156) - 3\/9*-1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140826998?\nAnswer: 2, 13, 127, 42649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**10*b)*b*b)*b\/(((b*b\/((b*b**(-2\/23))\/b)*b)\/b*b)\/b*b)*b)**(-5\/7) assuming b is positive.\nAnswer: b**(-130\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8397, -8805, -9213, -9621?\n\"Answer: -408*m - 7989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2730)\/56 + 30\/(-24) - 7\/(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23 times 5.81\nAnswer: -133.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {d: 1, g: 1, n: 1, m: 5, v: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-1728)*-12*-12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9469542.\nAnswer: 2, 3, 1578257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 0.1 (b) 1 (c) 1\/2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106742845849.7 - 0.4.\nAnswer: 106742845849.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/167 (b) 0.5 (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2929592, 2929593, 2929594?\n\"Answer: h + 2929591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 11*q**5\/120 - q**4\/4 - 12*q**3 + 8. Let y(t) be the third derivative of s(t). Let v be y(1). Solve -10 + 0 = -v*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h - 18. Suppose h - 5 = 3*q. Suppose q*f = 1 + 5. Solve f*m = 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251078 <= 251078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 156.6\nAnswer: -159.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 990 + 1020 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u + 87*u = -31600. Let i = 14023 - u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13442 - 4?\nAnswer: 13439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 30319 = -38935. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2. Let m(y) = 128212*y. Determine j(m(u)).\nAnswer: -32876633888*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27341 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735 divided by -37.\nAnswer: 735\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 49 - -1092?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2814, 2\/449 in increasing order.\nAnswer: -2814, -5, 2\/449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by -976930\nAnswer: 4\/97693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 39. Suppose -s + 5*t + 26 = 0, -4*t + 0*t = -2*s + z. Calculate the greatest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 22*z. Let r(k) = -7*k. Let b be 98\/(-6) - (-5)\/15. Let v(n) = b*r(n) - 5*m(n). Determine v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4138712154.\nAnswer: 2, 3, 229928453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 3*l + 1. Let w(r) = -3*r**2 + 52*r - 1. Give p(z) - w(z).\nAnswer: 2*z**2 - 55*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*(sqrt(363) + 6*(sqrt(363) + 2) + sqrt(363)) + (sqrt(363) + sqrt(363) + sqrt(363)*3 + 0)*-2))**2.\nAnswer: 4752*sqrt(3) + 117756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1706530\/671 or 2544?\nAnswer: 1706530\/671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)\/(v**1*v*v*v)*(v**(2\/5))**(2\/17)*((v*v\/((v*v\/(v**0\/v)*v)\/v*v)*v)\/v)**(-6\/17)\/(v**(-1\/3)*v**6) assuming v is positive.\nAnswer: v**(-8837\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -5*l**3\/6 - 2*l. Let s be q(-2). Let v be 15\/(-5) + 9 + -1. Solve -s = -p - 10*m + 5*m, -v*m = 3*p - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 9)*(2 - -2 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105\/239 + -126927\/1673. Let q = -1909\/28 - i. What is the common denominator of -12\/7 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119195 divided by 23839.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104\/9 + 1973\/171. Let f be (-742)\/4389 + (-2)\/11. Let b = t - f. Sort -2, 2\/5, b.\nAnswer: -2, b, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1217151 divided by 31209\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/92303433 and -52\/51279685.\nAnswer: 461517165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18\/571 + -40819\/27408. Calculate the common denominator of h and (15\/(-400))\/((-4)\/230).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906*w**2 - 327 + 327.\nAnswer: -906*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d + 6. Let z be 1\/((6\/(-15))\/2). Let h = z - d. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50338?\nAnswer: 2, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/3)\/((-1)\/(-3)). Let a(d) be the first derivative of d**3\/3 - d**2 - 5*d + 6. Let q be a(y). Solve 4*c = -q*m - 3, -m - 4*c = -6*m - 37 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = 3*j. Solve 5*x + 7 - 17 = j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/5 - 3992*l**4\/5 - 1745374*l**3\/5 + 4865255436*l**2\/5 - 19439949672*l\/5 + 3886580880 = 0?\nAnswer: -1050, 2, 1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 358, 19 in increasing order.\nAnswer: -5, -1, 19, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59628, 60095, 60570, 61065, 61592, 62163, 62790, 63485?\nAnswer: 64260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/13 in -141, 2, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5852 and -5843 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00141756 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 3120111?\nAnswer: -3120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 16. Solve -5*w + 2 = -k*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, g: 4, k: 2}. What is prob of sequence kg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*p - 0*p + 963, -995 = -m - 4*p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**7\/1260 + b**5\/40 - b**4\/6 + 2*b. Let n(o) be the third derivative of v(o). What is the derivative of n(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53810?\nAnswer: 2, 5, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -41, -0.4, -28 in descending order.\nAnswer: 5, 0.3, -0.4, -28, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, p: 2, r: 2}. What is prob of picking 1 r and 2 p?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/3*(-2 - 10\/(-6)). Which is the nearest to 4? (a) -2 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.444 - 4.5. Which is the second smallest value? (a) f (b) 0.4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o - 52. Let c be w(4). Solve -k + c*k = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2056115 by 5.\nAnswer: 411223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10753236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3\/3 + 2*x**2 - 2*x\/3 - 2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 395 + -235. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-3*4)\/(sqrt(35)\/(sqrt(5)*2)*2).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2*x**2 + 2)*(-2 + 3 + 0) + 3*x**2 - x**2 + x**2)*(4*x**2 - 6 + 6) in the form f*x + b*x**2 + w*x**3 + m + a*x**4 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03998 rounded to three decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3971747509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 103263 (base 10) in base 4?\nAnswer: 121031133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11824537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -339192*i. Let s(t) = -2019*t. Let q(b) = -4*p(b) + 673*s(b). Let l(c) = -4*c. What is q(l(o))?\nAnswer: 8076*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(0*b - 4*b + 6*b)*(-2*b + 0*b - 4*b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = -8. Suppose -2*o + 4*n = -10, -2*o + 2*n = -4 - 4. Suppose -3*x + 8 = o*f - 5*f, 0 = 2*f + 8. Put 3, a, x in decreasing order.\nAnswer: 3, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 979 and 167725217?\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -101103, -100089, -99075, -98061?\n\"Answer: 1014*z - 102117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252) + -3 - sqrt(252))**2)*4 + -4*sqrt(252)*3.\nAnswer: -48*sqrt(7) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 84?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*i + 102. Suppose i*u = 22*u - 205. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120279069*f**4 - 86971858 wrt f?\nAnswer: 481116276*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 415202203?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 3, -35\/2, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -294, 1, -9, 3, 2 in ascending order.\nAnswer: -294, -9, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Suppose -5*c = -4*k - 76, 0 = -x*c + k + 14 + 26. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(405) + -4)**2 + ((sqrt(500) + sqrt(500) + 2 - sqrt(5)) + sqrt(5) + 2 + -1)**2.\nAnswer: 66*sqrt(5) + 2419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 + 1690*r**2\/3 + 98656*r\/3 + 96968\/3.\nAnswer: 2*(r + 1)*(r + 62)*(r + 782)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 92*b = -89*b + 577, -5*r + 707 = b. Calculate the greatest common factor of 1349 and r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243501709 to the nearest integer?\nAnswer: 35263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 39\/(-9) + ((-1352)\/(-39))\/(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - 10\/(-3). Let y(b) = -b**2 + 18*b - 14. Let v be y(16). Suppose -v = -t*s + 18. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/71304 and 25\/12?\nAnswer: 71304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q**3 + 62*q**4 + 1 - 64*q**4 + 0 as f*q**2 + o*q + u + b*q**4 + z*q**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 292, 299, 316, 349, 404?\n\"Answer: c**3 - c**2 + 3*c + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7856.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w, 2*q - 6*w = -w + 3. Suppose 0*u + u = -z + 7, 0 = u - 5*z + 11. What is the smallest common multiple of (7 + -16)*1*q and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*-1*sqrt(100))\/sqrt(10))\/(sqrt(24)\/(2*3*sqrt(12))))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/30)\/(127\/20955).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -55*g**3 - g**2 - 2*g. What is b(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201842 is divided by 28803.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*g**4 - 17*g.\nAnswer: 612*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a decade?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 288 + -99. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136000 and 1279250.\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b3 - 1?\nAnswer: 2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 345.4 + -316. Let z = 0 + 22. Let b = z - y. What is b rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**7\/189 + i**6\/135 + 57*i. What is d in y(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 168531515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 800500 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/162)\/((-37)\/148).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/288 and -151\/768?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 7. Suppose 3*b - y*j - 797 = 0, -5*b - 5*j + 1395 = -0*b. What are the prime factors of b?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500424?\nAnswer: 2, 3, 29, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixk when three letters picked without replacement from kkxxxxkxkxkix?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 348 and 4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 0.0857 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-5*u + u + 3*u)*(-7 + 4 + 7).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 318377640 a multiple of 1409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*l**2*n*r**2 + l**2*n*r + 4*l**2*n + 6*l*n + 6*l - 2*r**4 wrt r?\nAnswer: 80*l**2*n*r + l**2*n - 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 120\/5 - 1\/(-1). Suppose 6*u = u + i. Solve p + 9 = -5*b, -u*p + 0*b - 22 = 2*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 8*y + 9. Suppose 4*v = v + 2*x, 0 = 3*v - 5*x + 9. What is the remainder when a(-7) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:34 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 61*i + 93 = -41*i. Is -2\/547 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + -2 - (-3 - -6)*-25.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1229\/9 at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 4, v: 2, n: 3, o: 6, y: 2}. What is prob of sequence ev?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3124, 3122, 3120, 3118, 3116?\n\"Answer: -2*o + 3126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/4 - (407\/44 - 10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -5. Let p(k) be the first derivative of 1\/2*k**2 + 1\/2*k + 0*k**3 + 2 - 1\/10*k**y - 1\/4*k**4. Let p(c) = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/41 or -3\/127?\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -772*w**3 - 847*w wrt w?\nAnswer: -4632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/((-7)\/(-42)). Let v be (-1)\/(-4) - (-2 + 41166\/s). Is 41 a factor of 6\/14 - v\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 0 + (-9 - (3 - 10)) + 25?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2\/3, -0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 3*f**2 + 7*f - 3. Let u be s(3). Is 2 a factor of (-4)\/(-8)*(u - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26801 and 2?\nAnswer: -53602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1927004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Calculate n(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 121 + 28*x**2 - 4*x**2 + 7*x.\nAnswer: 24*x**2 + 6*x + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 2*r. Let d be z(-2). Suppose d = -4*n + n - 5*u + 416, 4*u + 608 = 4*n. Suppose -n - 128 = -5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1225\/186 + 111\/31. What is the common denominator of (8\/(-48))\/((-2)\/(-98)) and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2 - 13620732*b + 15460361684652 = 0.\nAnswer: 2270122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 38 in ascending order.\nAnswer: -3, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -3*((-2*2*sqrt(396) - (sqrt(396) - (sqrt(396) + (1 + sqrt(396))*-4))) + 0 + -1 + sqrt(396) + sqrt(396) + -2 + -1 + sqrt(396)))**2.\nAnswer: -269487 - 14580*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -83 (base 11) to base 16\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x - 1. Suppose 0 = -n + a - 2, 8*n + 4*a + 46 = 3*n. Is t(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 9*s - 10 + (2*s - 4 + 4)*(-2 - 3 + 3))*((-14*s - 13*s + 2*s)*(-7 + 21 - 9) - 1 + 1 - 2*s) in the form o + i*s**2 + r*s and give i.\nAnswer: 1651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43 or 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 441, 3539, 11959, 28359, 55397, 95731, 152019, 226919?\n\"Answer: 443*c**3 + 3*c**2 - 12*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**2\/2 - 3*n - 3. Let f be x(0). Let z = f + 6. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*m + 15*m - m to the form u + n*m and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 35, 1\/4, 0.4 in decreasing order.\nAnswer: 35, 0.4, 1\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/21 + (-256)\/168*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 52, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = -19. Let z be f\/6 + (-43)\/(-2). Solve -5*m + 2*s - z = 5*s, m - 4*s - 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - (-2 - -1) - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3778980 rounded to the nearest 10000?\nAnswer: 3780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxxfffcxqq. Give prob of picking 1 f and 1 c.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 9. Let j be p(0). Find the first derivative of -7 + 1 - j*r + 3 + 1 wrt r.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80056 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113384 + 29228 = -40*n + 159964. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 1 + 3. Sort 1, k, 3, -1 in descending order.\nAnswer: 3, 1, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.1. Let i be 9\/(-15) - (-348)\/(-20). Let s be i*1\/(-2) - 4. Which is the third smallest value? (a) 2\/11 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 18*c. Let y(m) = -14*m**2 - 42*m - 14. Let q(t) = -13*t**2 - 36*t - 12. Let n(w) = -7*q(w) + 6*y(w). Give n(p(a)).\nAnswer: 2268*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/19 and -9 + (3608\/(-32))\/(-11).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 25 = -2*n, -8*a + 3*a = 5*n - 40. Suppose 84 = 4*j - j. Let f be 91\/j - (-3)\/(-12). Solve 0 = i + 4*m - 8, -f*m + 6 = 4*i - a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - c - c + (0*c - 2*c + c)*(-4 + 4 + 1) + 41*c + 70*c + 4*c + c + c + 0 - 2.\nAnswer: 114*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -0*q + 10*q. Suppose q = 14*j - 2*j - 1152. What is the highest common divisor of 48 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5001531550 + -2?\nAnswer: 5001531545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s + 5*w - 310 = 13*s, 0 = 3*w - 3. Let k = -1829\/6 - s. Factor 1\/6*d**4 + 0 - k*d**2 + 1\/3*d - 1\/3*d**3.\nAnswer: d*(d - 2)*(d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 4*z**2 - z + 4. Let r = 9 - 6. What are the prime factors of q(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = -5*n, r - 2*r = -4*n - 12. Let v be r\/(-4 - (-4)\/2). Suppose 0*o + 5*o - 14 = 3*a, -2*o + v*a = -8. Solve d = 2*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(225) - (-4*sqrt(180))\/sqrt(9))\/(1*-3*sqrt(7200)\/sqrt(5)).\nAnswer: -7*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 297*l - 104541. Determine d(352).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 49602*j + 205029867.\nAnswer: 3*(j + 8267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 1. Let o = 10 + -16. Determine d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 2, a: 1, r: 1}. What is prob of sequence rx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 21*h**2 - 42*h - 73. Let l be q(-19). Suppose -4*s - 3*b + 2357 = 0, 406 + 777 = 2*s + l*b. What are the prime factors of s?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(12)\/(sqrt(24)\/sqrt(4)) + -1 + 0 + sqrt(2))*-6.\nAnswer: -72 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/6)\/5*-5. Let l = -6 + 6. Suppose -2*h + 15 + 55 = l. What is the highest common factor of r and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 + 20*o**2 + 56*o + 52. Suppose 0 = -5*b - 2 + 12. Let j(v) = -17*v**3 - 81*v**2 - 225*v - 207. Let l(h) = b*j(h) + 9*d(h). Factor l(t).\nAnswer: 2*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -5*v**3\/7 - 291*v**2\/14 - 114*v\/7 + 2073. Factor y(p).\nAnswer: -3*(p + 19)*(5*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -32\/55 (b) -1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 - (21 - 13) - -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/10 + -7)*36\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + -0.8. What is the nearest to 2\/7 in -0.1, n, 0.6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171119?\nAnswer: 13, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/5*v**2 + 0 + 1\/5*v = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-2))\/(1\/8). Suppose -3*r = 2*p - 29, r + 0*r + 9 = 2*p. Let m = p + -7. Put 3, q, m in increasing order.\nAnswer: m, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 7. Give v(5).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.665595 or 0.118?\nAnswer: 1.665595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - g**2 + 0*g**2)*(2*g + 3*g + 0*g)*(-1 + 3 - 1).\nAnswer: -5*g**3 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18372, -18338, -18288, -18216, -18116, -17982, -17808, -17588?\nAnswer: -17316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -485*b**2 + 484*b**2 - 5*b + 13*b - 4. Give q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 3*b + 600 = 31*b. Solve -57*n + b = -77*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58295*b + 24469 wrt b?\nAnswer: 58295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 15, -41*s + 19 = -v - 46*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9700522 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 151, 228, 305, 382?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 34*f - 19*f - 10*f + 126*f. Let u(n) = -n. What is l(u(v))?\nAnswer: -131*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6506.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -992*s - 18892. Calculate t(-19).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k. Suppose b + 4*b + 4*q - 45 = 0, 0 = 5*b - 2*q - 15. Suppose 5*t + 35 = -4*l, 2*t = b*l + 24 - 5. Sort -1, l, k in ascending order.\nAnswer: l, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/649 or 0?\nAnswer: -2\/649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -822232?\nAnswer: -12333480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*z**2 + 12*z**2 + 19*z**2 - 706*z + 4752 - 242*z - 326 with respect to z.\nAnswer: -2*z - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 3:55 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d + 112. What is w(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 10. Suppose 3*w - 2*v - v = -y, 5*w - 11 = -4*v. Which is smaller: -8\/5 or w?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/3*t + 1\/3*t**2 + 10\/3.\nAnswer: (t - 10)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3775117*l**2. Let q(d) = d. Calculate k(q(w)).\nAnswer: 3775117*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*x**4 - 1420*x**3 - 315*x**2 + 1420*x + 260 = 0. Calculate x.\nAnswer: -1, -2\/11, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = -j + 5*j. Suppose -5*o + 42 = -j. Let l(d) = -14*d + 109. Let u be l(7). Calculate the highest common factor of u and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*s = -5, -2*s = 2*v + 2*v - 30. Let l(t) = 2*t + 19. What are the prime factors of l(v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**3 + 21*f**2 - 2*f - 11. Let w be a(-7). Let y be -3*(2 - w) + -6 + 5. Suppose 12\/7 - 12\/7*n - 9\/7*n**y = 0. What is n?\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqaqqqgqqaqqaqaaq. Give prob of sequence qga.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 - -683. What is the remainder when z is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let y(a) be the third derivative of -a**4\/24 - 3*a**2. Let p be (3 + 9)*2\/(-4). Let k(f) = p*y(f) + 5*t(f). Let c(j) = 3*j. What is k(c(v))?\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -177*u - 180*u + 348*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-25 - -20) + 28\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) 15\/262 (c) 4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -58*p - 17. Let r(s) = 57*s + 10. Let a(y) = 114*y + 21. Let g(u) = -6*a(u) + 11*r(u). Let m(j) = -3*c(j) + 2*g(j). Is m(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:35 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 261061011 to the power of 1\/3, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - 16. Let b = a + 64. Let k = -19 + b. Solve 0*t - 5*z = k*t - 28, 0 = -3*t - 5*z + 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1503377508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1155 + 587. Let d = t - -565. Sort d, -2\/5, 2\/3 in increasing order.\nAnswer: d, -2\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141102 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 3 + (1 - 2 + 0)*(1 + 0 + 1) + 2 + 1 - 5)*(0*o**4 - 3*o**4 + o**4) as v*o + u*o**3 + s*o**4 + d*o**2 + g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**3 - 3*l**2 - l - 4. Let a be y(-2). Let s = a - -678. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13517, -13519, -13521, -13523, -13525, -13527?\nAnswer: -13529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000091199712 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - 8) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 3*y**3 - 9*y**3 + 11*y + 27*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 9668 in ascending order.\nAnswer: -5, 0, 9668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19303284 divided by 6.\nAnswer: 3217214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4397333 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6754 is divided by 3361.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let n be (0 - -3)*(680\/51)\/20. Suppose w*y - 326 = -2*l, n*l = -5*y - l + 815. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31222 is divided by 120.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24906 is divided by 5867.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67075 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 2 - 8*q + 11*q + 2.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43515661.5000039 - -43515650. Let w = 11.5 + g. What is w rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 3\/2*p**3 + 0*p**4 + 0 + 4*p**2 + 0*p + 0*p**5 + 1\/12*p**6. Differentiate g(s) wrt s.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 m when three letters picked without replacement from greirimrgriemi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 28 = -10*d - 4*h, 0 = 4*d + 5*h - 62. Solve 3*x = 3*f, x - 2 - d = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7512 rounded to 1 decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c\/(c**(-1\/3)*c))))\/c**0*(((c*c**(1\/3)*c)\/c)\/c*c)\/(c**4*c) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 83160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172554876 divided by -43236.\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/283, 4, -4, -0.07 in descending order.\nAnswer: 4, 2\/283, -0.07, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/840 and -149\/1905960.\nAnswer: 1905960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6073733 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25478?\nAnswer: 2, 12739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*h**2 - 10 + 4*h + 17 - 4 + 24.\nAnswer: 21*h**2 + 4*h + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 3*d + 7. Let a = 82 + d. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.9 + 8. Let x = 7.1 - b. Let h = -7.00003 + x. Round h to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/7))**(-6\/7)\/(v**(3\/2)\/(v**(-1\/4)*v)))**(-27) assuming v is positive.\nAnswer: v**(9801\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/7704 and 143\/420?\nAnswer: 269640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8905*m + 131*m**2 + 195*m**2 - 8899*m to the form r*m**2 + w + d*m and give r.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25003*o - 96688?\nAnswer: -25003","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3*v - 7 + (-v - v - 2*v)*(2 + 2 - 2)*(-1 + 6 + 6) to the form c + u*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -1?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3375 by 27.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5159760 to the nearest 10000.\nAnswer: -5160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 - -3. Let u = -3.7 - -0.7. What is the smallest value in y, u, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/33 and 55\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -136, -236, -308, -352, -368?\n\"Answer: 14*v**2 - 142*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24582 = 1211*c + 42713 + 25726 - 985 for c.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 476?\nAnswer: -47b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -173*m - 230 - 635 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 779, 1, 5, -5 in ascending order.\nAnswer: -5, 1, 5, 779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1.3 (b) 9 (c) -0.2 (d) 4 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 132 * 2.841\nAnswer: 375.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca872 (base 15) to base 11.\nAnswer: -3aa239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -16*a**3 + a - 11. Let g = 18 - 7. Let f(v) = v + 4. Let s be f(-6). Let j(q) = -3*q**3 - 2. Determine g*j(z) + s*c(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25975052.\nAnswer: 2, 19, 341777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.4657 decades in months?\nAnswer: 12775.884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jyyyjjyjyyjyygjyyjyy?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y**3 - 262*y**2 - 348*y + 720 = 0. Calculate y.\nAnswer: -10, -3, 12\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10785 = -3*a + o + 12433, 4*a = 2*o + 30958. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 + m - 1. Let v(j) = -j - 8. Suppose 27 = -t - 2*t. Let w be v(t). What is the units digit of z(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 - 1.3. What is the nearest to 0 in 5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let g(k) = 19*k + 1. Determine -4*f(h) + g(h).\nAnswer: 15*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 84 = 2*s - 14, 2*v - s = 70. What is the remainder when 60 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111101010001 (base 2) to base 12.\nAnswer: 4781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 858533 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*v - 9*v + 40, -3*u + 15 = 0. Calculate the highest common factor of 63 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b (base 16) in base 11?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - m + 1. Let k(n) be the third derivative of n**6\/60 - n**5\/20 - 5*n**4\/24 + 5*n**3\/6 + 55*n**2. What is 5*h(y) - k(y)?\nAnswer: 3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0158657 rounded to 3 decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -24445*h**2 - 5*h - 10. Let p = 32 + 2. Let y = -37 + p. Let w be d(y). Round w to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {k: 2, n: 2, f: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m. Let c(x) = 14268*x**2. Determine c(r(t)).\nAnswer: 128412*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10270643770924.3.\nAnswer: 10270643770914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cf when two letters picked without replacement from {f: 17, c: 3}.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-1))\/(-5) + 4. Let t(f) = 0*f**2 - 2*f + 0*f + 0*f + 6*f**2 + 2 - 4*f**2. What is t(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2\/4 - 41997*z\/4 + 1808888 = 0. What is z?\nAnswer: 173, 41824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*k**2 - 7*k**5 + 33*k**4 + 48*k**3 + 275 - 495*k**2 - 432*k + 10*k**5 + 1021 = 0. What is k?\nAnswer: -6, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**6\/140 - 2*a**5\/105 - a**4\/21 - 11*a**2\/2 - 9*a. Let j(r) be the first derivative of w(r). Factor j(x).\nAnswer: 2*x*(x - 2)*(3*x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6693 - 1.6256. Let l = b + 0.98. What is l rounded to three dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 557813785 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1157, 40, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-48))\/((-8)\/18).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = y. Calculate the remainder when 6\/y*20\/(-3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*t + 27, 9*t = 13*t + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 770367132.\nAnswer: 2, 3, 181, 39409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p, -3*o = -7*o + 2*p - 4. Is -2 - 2172\/4*o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose 18 + 17 = b*g. Suppose -h - g = -52. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 12*m**2 - m - 8. Let s be (-4)\/6 + 120\/(-9) + 2. Let c be b(s). Suppose -6*u = -c*u - 190. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 0.0394235.\nAnswer: -6.0394235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2110 and 12027?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -63, -88, -127, -186, -271?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53880515131 + 1\nAnswer: 53880515132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5843*t + 3087 wrt t.\nAnswer: -5843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*c*c**(-3\/5))\/c*c)**(-14\/13)*c\/c**(-1\/9)*c*c\/(c*c\/(c\/(c**(2\/7)\/c))) assuming c is positive.\nAnswer: c**(-3424\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 25. Let j be z(5). Suppose 31*v - 33*v + 2234 = j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-141)\/(-36))*(-87)\/(-58). Is v at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32724245 is divided by 64.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 times -0.03?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -836.4.\nAnswer: -2509.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468562479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-2)*(-12)\/20*-2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8032 divided by -2?\nAnswer: -4016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5 and 17\/92.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 1210 - -3*1. Let u = 2176 - l. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbbc. Give prob of sequence bcb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*(-354)\/(-2065).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - c + 3. Let h(r) = 2*r**2 + 2*r - 3. What is -4*f(t) - 3*h(t)?\nAnswer: 2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 0.09\nAnswer: 1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 12 - (6 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13546967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -100 (b) -5 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 231*d**2 + 154*d - 689. Let m be s(5). What is the highest common divisor of m and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2704363 or 2704364?\nAnswer: 2704364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 divided by -73?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z**3 - 9*z**3 - 2 - 5*z + 4*z as y + g*z**2 + p*z**3 + t*z and give p.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5308950, 10617899, 15926848, 21235797, 26544746, 31853695?\nAnswer: 37162644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 2, e: 4, m: 1, j: 1}. Give prob of sequence mrrl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82912589.\nAnswer: 2749, 30161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 1 + 7. Let d be 7 + (-1 - t\/1). Suppose d*a - 3*a = 245. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -313889, -313923, -313961, -314003, -314049?\n\"Answer: -2*v**2 - 28*v - 313859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.3 + 1.7. Let u = 5638109.1 + -5638096.0999997. Let t = u - w. What is t rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 23. What is the tens digit of t + -2 + -3 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463555305 divided by 9?\nAnswer: -51506145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2. Let q(d) = 3904*d**2. Give q(t(j)).\nAnswer: 3904*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let m be l(-10). Let o = m - -13. Let u(w) = 3*w. Calculate u(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 0, 41, -3 in decreasing order.\nAnswer: 41, 12, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59 minus 0.025588329?\nAnswer: 0.564411671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -32 - 2 + r + 15 + 19. Let t(u) = -25 - 3*u + 3*u + u. Calculate h(t(x)).\nAnswer: x - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/18064 and 23\/9.\nAnswer: 162576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 84 = 2*w, 2*w + 75 + 11 = -4*d. Let x = w - -43. Suppose 4*a = -o + 2*o - 16, -x*a - 26 = -2*o. Calculate the remainder when 33 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-3017.\nAnswer: 301.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37394.91 - -37165. Let j = u + 231. Let t = -8.09 + j. Which is greater: t or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085 is divided by 91?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.7 - 1.18. Let x = -8.4 + l. Let a = -4.1 + x. Are a and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - 10) - (5 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r**2 - 3*r)*((-r - r + r)*(2*r - 5*r + 5*r) - 3*r**2 - 567 + 567 + r**2 - 3*r**2 + r**2) + 5*r**4 - 4*r**4 - 3*r**4.\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + 11*k**2 + 18*k - 1. Let i be q(-2). Let n be 23*(0 + 1) + -2. Let l = i - n. Solve l = -4*g + r + 8, -4*r - 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96289507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(100)*-2 - sqrt(100)) + sqrt(100))\/(-6*(sqrt(4)\/sqrt(2) - sqrt(2)) - (sqrt(2) + (sqrt(2) - sqrt(32)*-1))))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**2 - 34*w - 710. Give a(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o - 11. Let l be i(5). Let x(v) be the first derivative of -3 - 1\/2*v**4 + v**2 + l*v - 2*v**3 + 2\/5*v**5. Factor x(n).\nAnswer: 2*(n - 2)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 17 - (-67 - -61). What is the highest common divisor of z and 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 - 1)*(0 + 2 - 4)*(0*x + 8*x - 6*x)*(-1 + 0 + 0).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -299191, 1\/5, -0.173?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**7\/560 + b**6\/80 - b**4\/4 + 7*b**3\/6 - b. Let z(t) be the second derivative of y(t). Determine c so that z(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-18) + (-25)\/(-15). Suppose w - 5*k = -16 + 81, h*k - 406 = -5*w. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 152.97 + -151. Let m = 113.97 - n. Let h = -111.999851 + m. What is h rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3*d - 4)*(8*d - 7*d - 3*d - d**2).\nAnswer: 3*d**3 + 4*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - (-5 - (-5 + 0 + 6))) + -9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4\/4 + 5*v**3\/3 + v**2\/2 + 3*v - 4. Let o(a) = a**2 - 20*a + 41. Let m be o(18). Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 + a**2\/2 + 17*a\/2 + 15\/2 = 0.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*j - 3672987 = -3666417 for j.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, -1, 87?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 68. Let q(y) = 3*y**3 - y**2 + 6*y + 9. Let p(r) = -2*r**3 - 3*r - 5. Let f(d) = 5*p(d) + 3*q(d). What is f(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*r - 114*k + 119*k - 39, 2*r + 2*k = 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + ((-9 - -12) + -16 - 4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.697 + 49.9. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:49 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 1 + 20. Solve 0 = 5*t - x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Let b be ((-12)\/(-9))\/(p\/99). Calculate the greatest common factor of 55 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 77207 = -22*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -8, -5, 266 in decreasing order.\nAnswer: 266, 4, 3, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - -d6?\nAnswer: ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.187091099 and -4.7?\nAnswer: 4.887091099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = 24*k - 3. Let x be (9\/6)\/(k\/(-232)) + 3. What is the highest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3663795.\nAnswer: 3, 5, 244253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18462 and 1020.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 3. Let v(r) = -r**3 + 0*r + 4*r**2 + 2*r - 3*r + 2. Let k be v(4). Give m(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - g**3 + 6381*g**2 + 22743*g - 16 wrt g.\nAnswer: 12*g**2 - 6*g + 12762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.3. Let d = h + -0.33. Let u = d - -0.1299989. What is u rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 23 - 10 - 14.\nAnswer: 11*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12311 divided by 1\nAnswer: 12311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:15 PM?\nAnswer: 143","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*(sqrt(1815) - (sqrt(1815)*2 + sqrt(1815)))*-5)\/(sqrt(10)\/sqrt(2)*-5 - (3*sqrt(320) - sqrt(5))))**2.\nAnswer: 326700\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8868 and 1480956?\nAnswer: 1480956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/12 + (-5)\/(-3). Suppose 0 = -5*g + d + 35, -7 = -r*g + 2*d - 1. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 361*p - 113. Let w(v) = 2*v. Let n(h) = -u(h) + 2*w(h). Find the first derivative of n(k) wrt k.\nAnswer: -357","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 4. Suppose 3*y = -15, f = l + 5*y + 43. Let o(p) = -7*p - 4. Let w(x) = -10*x - 6. Let m(t) = -7*o(t) + 5*w(t). Give m(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 888.0589 micrometers?\nAnswer: 0.0000008880589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 6, -36?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(2*sqrt(468) + -1 + sqrt(52) + sqrt(13)))**2 + 1.\nAnswer: -120*sqrt(13) + 11705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 24365 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -115547 rounded to the nearest one thousand?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*m - 146, -5*x = 5*m + 8 - 258. What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26327 + -0.35375.\nAnswer: 26326.64625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-2) + (-48 - 6). Suppose 0 = 2*d + 3*d + 3*q + 63, 1 = d + 4*q. Let h = d - m. What is the lowest common multiple of h and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 554*d**2*n**3 + 2*d**2 - 27*d*n**3 - 100107*n**3 wrt d.\nAnswer: 1108*d*n**3 + 4*d - 27*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38749 + 38866. Solve 0 = -1835*l + 1822*l + g for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Suppose s - 14 = 3*v + 2*s, -5*s - 5 = 2*v. What is the closest to h in 2, -1\/2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144316455 (base 7) to base 15\nAnswer: -c94d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/3, -1\/10, -3, -3\/5?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158682019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2 + 25*q - 6*q - 12*q - 9*q**3 + 6*q**2. Let z be o(-1). Calculate the greatest common divisor of 250 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-30))\/((-2)\/3). Let p be (-1)\/b*112\/(-7). List the prime factors of (-9)\/(-2) + 12\/p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 12*i - 1. Let v(k) = -250*k + 0 + 249*k - 2. Let y be v(-8). Let a be l(y). Solve -4*w = 3*g + a, 2*w - 5*g + 3 - 18 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8 = 4*m, 3*m = 5*r + 4. Let t(y) = -y**3 - 2*y**2 - 2*y - 3. Give t(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, 14, -1.364, -1\/5, 1?\nAnswer: -1.364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:35 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18)*6748290\/7730.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19461802 and 199.\nAnswer: 19461802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2557 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109.5698 + 0.0698. Let p = 110 + o. What is the third biggest value in p, 1, 0, 20?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 9:21 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.345999 years?\nAnswer: 0.000345999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1362 + 1362 - 42*x)*(-18862 + 18862 + 82*x).\nAnswer: -3444*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-3) - (-1)\/(-3). Suppose 0 = -2*h - 5 + 9. Let w(n) = 2*n**3 - n**2 + 6*n - 4. Let m be w(h). Solve l + m = p*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = 3*a, 4*s = 3*a + 17. Suppose s*r - 7*r = -20. Solve d + 0*d + 5 = 0, i - r*d = 20 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.411 (b) 3\/4 (c) -3 (d) 5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*x - 35*x = -4*o + 116, -3*x + 5*o + 111 = 0. Is x <= 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9 and 163\/6120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 1. Let m be 4\/(3\/((-12)\/(-8))). Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/28)\/(-5) - ((-1357)\/(-92) + -16)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71891.\nAnswer: 29, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d - 6518. Let z(k) = 6*k + 20. Calculate m(z(t)).\nAnswer: -24*t - 6598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o - 346 + 1217 = -727 for o.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*s = -78, 3*s + 0 = -9. What is the remainder when z is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-4)\/(-8))*48\/5. Let c(o) = -o**2 + 26*o - 30. What is c(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:40 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -74. Calculate the smallest common multiple of s and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1775.4800124 - 1775.44. Let d = -362.04 - -362. Let v = l + d. Round v to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byo when three letters picked without replacement from {o: 3, b: 1, y: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 18*c**2 - 167*c - 1277. Is 3 a factor of q(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.978 + 0.978. What is the fourth smallest value in -5, -3\/5, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -695 + 780 - (24 - 0) - 24.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.609 - -21.236. What is s rounded to 1 decimal place?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312313303 (base 4) to base 11.\nAnswer: -143953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**2 + 3*b - 2. Suppose 2*s - 13 = 29. Let n be 15\/s - 12\/(-42). Let m be i(n). Solve -2*u = o, 0*o - 4*u = -3*o + m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 40*n + 104. Sort n, 17, 18 in decreasing order.\nAnswer: 18, 17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, -8, -2\/5, 5\/2, 3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:02 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -q + c, 3*q + 45*c = 42*c + 1056. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -570.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 + 2*z**2 + (2 - 3 - 1)*(97*z**2 + 3*z**2 - 18*z**2).\nAnswer: -163*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 11) in base 14?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.153 to one decimal place.\nAnswer: -45.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 4:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24994957\/659960640 + -6\/229153. What is the common denominator of q and -89\/900?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*j = -16, -4*w - 4*j = -5*w. Suppose -5*i + 121 = -3*o - 19, 0 = -4*o. Calculate the highest common divisor of i and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1\/4 (c) -2\/3 (d) -4 (e) 0.01 (f) -292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9412423, 9412452, 9412483, 9412516?\nAnswer: 9412551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68253878 and 87754986?\nAnswer: 614284902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1.6, 0.51, -0.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2349873 is divided by 335695.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2 + 2 - b**2. Let d(m) = -4*m**2 + 6*m - 4*m**2 - 6*m + 0*m. Determine p(d(o)).\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -58, -2, 184, -6 in decreasing order.\nAnswer: 184, 2, -2, -6, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -830\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4485, 8951, 13393, 17805, 22181?\nAnswer: 26515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 274*r**2 - 837*r - 2499. What is y(-3)?\nAnswer: 2478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**6\/2 + m**4\/12 - 85*m**3\/3 + m - 274. Find the second derivative of f(a) wrt a.\nAnswer: -180*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 10. Let d be s(10). Suppose v = u + 3, -5*v - 3*u = -18 - 29. Suppose -v + d = 7*c. Which is bigger: 5\/12 or c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4024 - 438619\/109. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 257877.6nm to centimeters.\nAnswer: 0.02578776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -218 - -226. Solve -12*u + 10*u = -j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1513 - 157. Is 5\/(6\/u*8\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/360 and -23\/180?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -287 (b) -1\/5 (c) 6\/13 (d) 1\/3 (e) 1\/6 (f) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 1. Let c = 40 - 36. Suppose -8 = -0*w - c*w. Let l(a) = a - 1. What is w*l(m) + 4*u(m)?\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 + 7*j + 2. Let o be r(-6). Is o <= -20\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12498 and 12537?\nAnswer: 52229142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 - 177. Suppose -o = -3*s - k - 0, -2*s + 4 = o. Solve s = -0*y - 3*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91759.65 millennia in centuries?\nAnswer: 917596.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43078 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -101*k**4\/4 + 4*k**3 + 13. Find the third derivative of a(p) wrt p.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/8, 127 in descending order.\nAnswer: 127, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 111 + -87. Let c be -8*(14\/(-44) - q\/132). Let g be -2 + c - ((-4)\/(-1) - 5). Solve -3*f - 3 = g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*s**2 - 6 + 6.\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.63 * -4.\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001 - 1010?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1455 and 11664735.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 + 29292*q**2 - 69911820*q + 54683364004 = 0.\nAnswer: 2077, 3169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14)*(-1)\/15*(-2898)\/92.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j**2 + j**2 + 2*j**2)*(59 + j - 136 + 0*j) as b*j**3 + g*j**2 + t + n*j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 48?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w. Let y(v) = v**3 + 6*v**2 - 5*v + 24. Let d be y(-7). Let a(c) = d*c - 23*c + 9*c. Determine a(r(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(2\/55)*m*m\/(m*m**(2\/41)*m) assuming m is positive.\nAnswer: m**(4482\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 10. Let n = -39 + 81. Calculate the remainder when n is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1419489 by 48.\nAnswer: 473163\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**1\/h))\/h)**11)**(-1\/36) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -21*z**3 + 10*z**2 + 5. Let v(j) = 15*j**2 - 11*j**3 + 71 - 21*j**3 - 63. Let r(k) = -5*v(k) + 8*x(k). Find the third derivative of r(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121296*i**4 - 45047 with respect to i.\nAnswer: -485184*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 21*a + 4*a**3 - 3*a**3 + 10*a.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524 = 5*j + 36. Is (j\/28)\/((-8)\/166) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10 + 6)\/(1 + (-62)\/6). Let m = 0.06 + -1.06. Sort m, j, 0.1.\nAnswer: m, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -106*o - 1145 - 172 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 6. Let i = 4 + 4. Let d = i - 5. Suppose -2*t - 26 = -3*o, 7*t + 28 = 2*o + d*t. Let k(f) = 1. Calculate o*k(g) - a(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 8, -3*m = d + 2*m - 11. Let p = 6 - -2. Let s be p\/34*7\/(-28). Is d greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.033 * 0.2.\nAnswer: 0.2066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110110111000010 (base 2) to base 11\nAnswer: -1a124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t + 6 = 0. Suppose 4 = g - r, -2*r + t*r = 2*g - 12. Suppose 0 = -3*a - 2*y + y + 5, 2*a - 4*y - g = 0. Solve -3*u = a*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*m - 26*m - 21*m - 3045 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -26. Let g be (11\/11)\/((-1)\/p). Let 0*f + 140\/9*f**g - 50\/9*f**5 - 88\/9*f**3 + 16\/9*f**2 + 0 = 0. What is f?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 173 + 147 = 0. Solve 3*v + c*y - 4 = 0, 5*v + 6*y - 10 = y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2478*r - 1906*r + 3909*r)*(12*r - 30*r + 8*r)*(-7 + 2 + 0) in the form m + w*r + v*r**2 and give v.\nAnswer: -23750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 203*g - 3429. What is s(17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3909 - 2053. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5144 in -22, -2, -4, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3))**(25\/3))**(2\/73) assuming a is positive.\nAnswer: a**(-50\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8170*d**3 - 11606*d**3 - 20214*d**3 - 19399*d**3)*(-2*d + d - d).\nAnswer: 86098*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 90, -61, -3, 1 in increasing order.\nAnswer: -61, -4, -3, 0, 1, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from caiamae. Give prob of picking 1 i and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24235, 49855, 75473, 101089?\nAnswer: 126703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from hqcloqk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 303292.\nAnswer: -1\/75823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2 + 9*a + 1. Suppose 0 = -2*i - 4*b + 20, 3*i - b - 6 = b. What are the prime factors of v(i)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**2 - r - 1. Let y be c(-1). Is ((-20)\/y)\/((12\/(-88))\/(-3)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307314 - 2792414. What is m rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 5*h + 3. Let j be g(3). Let q be ((-4)\/12)\/((-2)\/j). Let b(r) = -r**3 - 2*r**2 + 2*r - 4. What is b(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31a - 498a?\nAnswer: -51a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 11:08 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0 = -3*g - 19, c + 3*g - 11 = 0. Let h(j) = j**2 - 5*j + 2. What is the units digit of h(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 2*a**3 - a + 3*a**2)*(-3*a + a + 0*a)*(4 + 0 - 1 + (4 - 3 + 0)*(0 + 1 - 12)) to the form t*a**2 + k + v*a**4 + g*a + f*a**3 and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1411176 + 0?\nAnswer: 1411176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1, 17558, -1.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 18*t + 33*t = 11*t - 40, 0 = -22*d + 5*t + 77 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 16, 22, 30, 40?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/3, 2, -1\/5 in descending order.\nAnswer: 2, 2\/3, 1\/2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 51 + 30. Solve m + 5*j - 3 = 0, -13*m - h = -8*m + 3*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 - m - 2. Suppose 2*w - 2 - 2 = 0. What is the remainder when o(w) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4549575 times 3?\nAnswer: -1.3648725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 - -125. Suppose -1 - 9 = 2*w. Put w, -4, k in decreasing order.\nAnswer: k, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**5\/15 - 4*w**2 - 2*w + 81. Let s(c) be the second derivative of h(c). Let r(m) = 50*m. What is s(r(v))?\nAnswer: -10000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5 - 5*y**2 - 4 + 2 - y**3 + 0 - 3*y. Suppose -7 = h - 3. Calculate p(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 5*p - 2. Let z be v(-6). Suppose z*h = 41 - 13. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = i - k + 130, i - 31*k - 564 = 16*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/9, -1.02, -2, -1, 8 in descending order.\nAnswer: 9, 8, 2\/9, -1, -1.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -27*s - 81. Let h be v(-12). Suppose -h*m = -235*m - 56. What is the greatest common factor of m and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -50, -0.5 in descending order.\nAnswer: -0.4, -0.5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 157 = -5*y, 0*y + 3*v = 3*y - 75. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*m - 4*y - 26, 3*y = -4*m - 4. Suppose m*b = 4*b. Is 106 + (-3)\/(-12)*b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -343552, -686797, -1030042, -1373287?\nAnswer: -1716532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5) + (-1332)\/45. Let i = 115\/4 + n. What is the nearest to i in 0, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-78))\/(12\/9)*20\/(520\/39).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3 + (2 - 4 + 3)*(0 + 3 - 1) - 1 - 1 + 3 + 1 + 5 - 5 + 1 + 11 - 3)*(0*v**5 + 2*v**5 - 4*v**5).\nAnswer: -22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2*i*i**(2\/3)*(i**(2\/5)*i)**(-2\/71) assuming i is positive.\nAnswer: i**(3863\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 - 4*k - 9. What is f(-6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 3*m - 7. Let x be h(5). Suppose 2*f + 173 = -5*d, -x*d + 2*f + 0*f = 91. Is 2\/((-69)\/d + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)\/((-6)\/15). Suppose -5*k + 4 = -2*a - 3*k, 3*k = t*a. Suppose u - 2 - a = 0. Solve 0 = -2*m + 5*h - 2, 5*m = -u*h + 29 + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602109 > 602108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 5:57 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1380730 + 212*q**4 - 4*q - 1380730 - 1843*q**4 - 2*q**3 to p + z*q + t*q**2 + g*q**3 + o*q**4 and give o.\nAnswer: -1631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + -0.23.\nAnswer: 50.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*4\/(-36) + -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-10)*36 + (1 - 1). Let u be (-2)\/((-104)\/o + 3 + -1). Let v = u + 30. Solve -v*b = 4*r - 4 + 20, 4*r = -b - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*a = -7 - 1, 0 = -a + 2. Solve -v*q - 3*h = -5, 0*q - 4*q - h = -7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/9 + 34*j**3\/3 + 2*j**2\/3 - 302*j\/9 - 68\/3 = 0. Calculate j.\nAnswer: -1, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 17*s**2 + 3*s - 3. Let u(y) = 5*y**3 - 50*y**2 - 10*y + 10. Let c(i) = 10*a(i) + 3*u(i). Factor c(p).\nAnswer: -5*p**2*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5653*j - 21091 - 29786 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from xeeseeesexss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -400*r + 387*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -84081 + 91357 + 310244 + 5*x**2 + 2520*x.\nAnswer: 5*(x + 252)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**6\/4 + 39*t**5\/10 + 65*t**4\/8 + 9*t**3\/2 - 458*t. Find p such that f(p) = 0.\nAnswer: -9, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 0.2 (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:41 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -2144054?\nAnswer: -2144059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, g: 1, b: 1, u: 1}. Give prob of sequence ui.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/296 and 83\/419200?\nAnswer: 15510400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 1242?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - k**2)*(-98*k + 13*k**3 + 98*k) + 0*k**4 - 3*k**5 + 0*k**4 + (2*k**4 - 2*k**4 + 2*k**4)*(-2*k + 0*k + 0*k) + 4*k**5 + k**5 - 7*k**5.\nAnswer: -22*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1185*m**2 - 1876*m**2 + 1551*m**2)*(-2*m**2 + 2*m**2 - 2*m**3).\nAnswer: -1720*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 287 - -78. Suppose 125 = -3*k + v. Suppose -5*n = 10 - k. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*n - 2. Suppose -5 = -2*a + r + 4*r, 0 = a + 3*r + 3. Suppose 9*s - 5*s - 168 = a. Calculate the highest common divisor of s and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4890\/(-1956)*(-116)\/(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112 divided by 14?\nAnswer: 2056\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-2368)\/(-24)))\/(((-1392)\/64)\/29)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*f = 21, 1 = -0*f + f. Sort -2, n, 5 in descending order.\nAnswer: 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.38 and 4.\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 132 = s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*w + 10 + 6, 20 = 4*w + d. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 + 33*l**2 + 12*l - 4*l**2 - 12*l. Calculate the remainder when 82 is divided by k(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 6\/2035?\nAnswer: 6\/2035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30759 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, 25, 122, 247, 394, 557, 730?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 461*q - 29112 - 5924. What is the greatest common factor of q and 9310?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11076061 and 1073.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18 - -21) + -7 + (1 - 0). Which is the nearest to v? (a) 4\/3 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27813 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -78*n - 1789. Let q be x(-23). Let y(c) be the second derivative of -25*c + 1\/20*c**4 + 0 + 0*c**2 - 1\/150*c**6 - 1\/15*c**3 + 0*c**q. Factor y(s).\nAnswer: -s*(s - 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 530 (c) -0.204 (d) -0.4 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.12 and -477.\nAnswer: -476.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 26*s**2 - 25*s. Let g be p(-25). Suppose g = -5*x + 5*z - 270, 0 = -4*x + 9*x - 4*z + 273. Are -57 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-22 - (14 - 21))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/1)\/((-2)\/10). Suppose f*w - 50 = 80. Suppose 3*r - 4*r = -w. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = 0, 3*x - 388 = 2*i + 36. Suppose -2*j + 2*k + k = -123, 0 = -2*j - 4*k + x. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(1\/4))\/u)**(-4\/9) assuming u is positive.\nAnswer: u**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 22.2, 3, 1\/2, 0.2, -19 in decreasing order.\nAnswer: 22.2, 3, 1\/2, 0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = 0. Suppose 16*s = 121 - 25. Suppose 0 = 3*q - 2*c - 4, -8 = -2*q - 10*c + s*c. Solve o*b - 2*b = -q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 302 - 287. Sort 4, 1, -1, a, -2 in ascending order.\nAnswer: -2, -1, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by ((-6)\/18*38)\/(2\/(-3)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:26 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 49133, -4\/7 in descending order.\nAnswer: 49133, -0.4, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23560973.\nAnswer: 23560973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 429094664 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, 0.99.\nAnswer: -0.1, 0.99, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*v - 11 = 0, -6*v + 8*v + 6 = -4*p. Let k(u) = -3*u**2 + 24*u - 36. Let r be k(6). Put r, -2, -5, p in descending order.\nAnswer: p, r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + -6. Let z = -8689 + 8671.115. Let a = n - z. What is a rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from {a: 4, k: 6, f: 2, e: 1, b: 4, c: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -26*j**3 - j**2 - 2*j. Let b(z) = z**3 + z**2 + z. Let t = -15546 + 15545. What is t*r(u) - b(u)?\nAnswer: 25*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104237480 by 10423748.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 + 7*o - 5. Let i be v(5). Suppose -i = -4*t - 0*t. Suppose -3*z = -4*u - t, u = -2*u - 6. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*l**3 + 99*h**2*l + 26*h**2 + 7617*h*l**3 + 2*h*l wrt l.\nAnswer: 12*h**2*l + 45702*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 533\/(-104) - (-1)\/8. Let l = -55\/4 + 13. Sort 0.5, l, n in ascending order.\nAnswer: n, l, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0 + 16 - 5*k - 20 + 5 + 11. Let h(g) = 6*g - 13. Give 3*h(q) + 4*v(q).\nAnswer: -2*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-4)\/(-30)). Suppose -5*r - 15 = -5*p, 23 = 4*p + 2*r + f. Suppose -2*y - 4 = 4, -2*a = p*y - 82. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011100001 + -10101?\nAnswer: 1000011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiei when four letters picked without replacement from iegiigiiiiiiiei?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 - 521*c**2*z**2 + 2227*c*z**2 wrt c?\nAnswer: 6*c - 1042*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3\/3 + 11*f**2 + 10*f. Let t be w(-9). Factor 6*p**2 + 1 + 1 - 5 - 3*p**t.\nAnswer: -3*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c. Let d(k) = -k + 1. Let m(w) = 27 + w**2 - 4*w**2 - 23 + w - w**3. Let b be m(-3). Calculate b*d(r) - u(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 2, q: 1, w: 1, e: 4}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 377*c + 8 - 16 + 3 + 6 + (-2*c - 6*c - 5*c)*(0 - 1 + 2) + c + c + 0*c.\nAnswer: 366*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10036719, -20073434, -30110151, -40146870, -50183591?\n\"Answer: -t**2 - 10036712*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 1, d: 7, i: 12}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*x - 36 - 25, -y - x = -14. What are the prime factors of y\/((-2)\/(-4 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m = 5*m. Solve m = 4*q - 11*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*c - 1712 + 223 - 662 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -9 (b) -22 (c) 2\/3 (d) 0 (e) 10\/11 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 473 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 4*u**3 + 3*u**3 - 30*u**2 + 5*u**3 + 12*u**2 + 7 + 9*u**2. Let k(f) = 2*f + 1 + 2*f**3 - f**2 - 1 + 3 - 3*f**2. Calculate -7*k(i) + 3*n(i).\nAnswer: -2*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/8 and -41\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -287, -289, -293, -299, -307, -317?\n\"Answer: -v**2 + v - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -514 at most -513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chk when three letters picked without replacement from {h: 2, c: 3, k: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/24*(-4 - -8*2). Let y be (72\/i)\/(4\/6). Let d be (-5)\/2 - 2\/(-4). Sort -3, y, -10, d in ascending order.\nAnswer: -10, y, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -0.2, -3, 9\/287, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022816773521 rounded to 6 decimal places?\nAnswer: 0.022817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 = -9. Let x = r - 11. Suppose -4*p - p = -20. Solve -8 - x = p*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 13 = -5, -n = 2*v - 2716. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*k**4 + 6*k**6 + 73*k**2 + 150192 - 150192 wrt k.\nAnswer: 720*k**3 - 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + -2 - (-114)\/152?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 - (-1235)\/(-57) - -214*(-2)\/330. Which is the nearest to 0? (a) -1\/2 (b) o (c) 4 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60666 greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4694725.\nAnswer: 5, 7, 139, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345 + 8417 = 199*b + 1797 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:22 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/((150\/(-4))\/(-5)))\/(-36*(-62)\/8370)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26542 = 3*d - k, -d + 3443 = 5*k - 5383. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:50 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18772323 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/518)\/((-188)\/((-103964)\/(-237))).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3 = m - 3*u, 4 = 4*m - 4*u. Let s be -1 + (36 - 1) - 0\/1. Solve s = -3*x - m*t, 5*x - t = t - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 107491.0967 to the nearest one hundred.\nAnswer: 107500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3578 + -1.2?\nAnswer: -1.5578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90446?\nAnswer: 2, 41, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19025.\nAnswer: 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 232\/7*x**5 + 260\/21*x**3 + 37\/14*x**2 + 2\/7*x + 20 + 841\/28*x**4 + 200\/21*x**6. Let b(y) = 0. What is y?\nAnswer: -2, -1\/4, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*l - 155, 6*c - c + 5*l = 695. Let v be ((-13)\/(-2))\/((-4)\/(-8)). What is the greatest common divisor of v and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0)\/((-2)\/28). Suppose -s + i = -0*s. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238 divided by 5?\nAnswer: -1238\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k + 2*k + 21*k = 4278. Solve -k = 45*v - 114 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 88. Suppose 0 = 7*r - m*r. Suppose -3*u + r*w + 3*w + 27 = 0, 4*w = -u - 16. Solve u*c - c + 9 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/4, -2, 733 in decreasing order.\nAnswer: 733, 13\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -154425 (c) -0.31 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**2 + 0*i**2 - 2*i**2)*(447 - 35*i - 447) + 0*i**3 - 7*i**3 + 2*i**3 + 4*i - 4*i + 3*i**3 to the form n + f*i**2 + q*i**3 + h*i and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -53*a**3 + 2*a + 1. Let k = -297 - -296. Determine p(k).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -23, 143\/266 in decreasing order.\nAnswer: 5, 143\/266, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -56 (b) -0.5 (c) -1\/10 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 266 - 265.6. Let q = -10 - -9.95. Which is the second biggest value? (a) r (b) -1\/8 (c) q (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50309.900775+-9\nAnswer: 50300.900775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16070 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, z: 5, g: 1, j: 3, b: 2}. What is prob of sequence bzzg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 19*g**2 + 185*g - 877. Determine p(7).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -11*f**3\/3 - 3*f**2 - 4*f + 5348. Let s(j) = -5*j**2 - 3*j - 2. Calculate -7*s(h) + 3*u(h).\nAnswer: 2*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*h + 23*h**3 + 23*h**3 - 71*h**3 + 23*h**3 + 86 as b*h + q + o*h**2 + i*h**3 and give q.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27460644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqq when three letters picked without replacement from fffqfffqffff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 28 = -2*n. What is the remainder when n is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c520 (base 15) to base 8.\nAnswer: 734673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 91047865864.\nAnswer: -91047865866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 9 + 18 + (-2 - ((-14 - -7) + 11)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, s: 14, w: 2}. Give prob of picking 2 s.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**4*m**3 - 278*d*m**3 + 26633*m**3 wrt d?\nAnswer: 20*d**3*m**3 - 278*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 182.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/20*(-2)\/(-2))\/(70\/(-28)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5 + 15*k**4 + 275*k**3 - 615*k**2 - 274*k + 600 = 0.\nAnswer: -12, -1, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.744 - 0.01581403.\nAnswer: -14.75981403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/989 + -3044\/10879. Which is the third smallest value? (a) 1\/56 (b) q (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - z**3 - 2*z**3)*(5*z**2 + 0*z**2 - 3*z**2 - 2*z**2 + z**2 + 2*z**2 + (-2 - 4 + 4)*(4*z**2 - 5*z**2 - 2*z**2)).\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + a**2 - a - 1. Suppose 4*u + 2*b = -1 + 5, 4*u - 4*b - 28 = 0. Let m(z) = 2*z**3 + 3*z**2 - 3*z - 3. Determine u*w(o) - m(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.2. Suppose -3*b - 5*f = -b + 12, 2*b + 8 = -4*f. Suppose b*g - 13 = -3*m - 1, -12 = -g - 3*m. Put o, -4\/5, g in descending order.\nAnswer: g, o, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492.8 * -10\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10925 + 41823. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3779 + -3778. Let o be 3 + (0 + -1)\/1. Which is the nearest to o? (a) -1\/7 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*a**3*j*o**3 - 26*a**3 + 99*a*j*o**3 - 4*a*o**3 wrt j.\nAnswer: 5*a**3*o**3 + 99*a*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463 divided by -5.\nAnswer: -463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-8) - 1)*-8. Let j be -2 - -4 - (t + 162\/(-6)). Solve -4*q = 3*x - j, -4*q + 40 = 4*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3617\/6244 - 7\/892. Put 1\/2, -0.4, j, -0.1, 2\/43 in ascending order.\nAnswer: -0.4, -0.1, 2\/43, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 10082176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-1496)*(-3)\/(-1))\/(42\/(-168)).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-17400)\/(-24))\/29\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(((-2)\/30)\/(4\/(-190))).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2939 - -0.04.\nAnswer: 2939.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 36*b**2 - 142*b + 156.\nAnswer: -2*(b - 13)*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1 (b) 3 (c) -9 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8502 + -8433. Let p be 1\/3 + 418\/6. Which is smaller: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -14.2. What is the closest to -1 in -0.5, o, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139 and 10238.\nAnswer: 1423082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045059389 rounded to seven dps?\nAnswer: 0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m + 7 = -49*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4725 divided by 945?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + (sqrt(144)*1 - sqrt(144)) + sqrt(144))\/(sqrt(64)*-2))\/(1*(sqrt(72) + (sqrt(72) - ((sqrt(72) - -2*sqrt(72))*-2 + sqrt(72))))).\nAnswer: -sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - ((29 - 27) + 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2*f + 4)*(25 + 2 - 2)*(-16 + 16 + 46) as k + u*f and give u.\nAnswer: 2300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frnr when four letters picked without replacement from frnnrrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5 = 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayaa. What is prob of sequence aayy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1 = 6. Let t(k) = 61*k**2 + k + 1. Let p be t(j). Suppose 5*g - p = 34. Is g 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 y and 1 p when two letters picked without replacement from {k: 5, p: 3, f: 4, y: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6302462 + 98?\nAnswer: -6302364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1555571272?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159832*x**3 + 204*x - 204*x.\nAnswer: -159832*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5 - -13)\/24)\/(10\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/5)\/(547\/(-5470)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 15. Let o(c) be the first derivative of 0*c + 5\/3*c**4 + 0*c**2 - 4\/9*c**3 - 2 - 5\/3*c**w. Factor o(s).\nAnswer: -s**2*(5*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -v + 6. Solve -2*m - 4*t + 28 = 0, 0 = -0*m + 3*m - t - v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001010111 (base 2) to base 3.\nAnswer: 2020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191569710 divided by -10?\nAnswer: -19156971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 1c7?\nAnswer: -1c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16170 and 15582?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffofffoffff. Give prob of picking 4 f.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.14 - -16.5. Which is the smallest value? (a) -3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 505045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 195966 and 4.\nAnswer: 783864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*65\/(-26)*2*2\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9*a**2 - 9*a - 49. Let m(x) = -4*x**2 - 4*x - 25. Calculate 2*b(n) - 5*m(n).\nAnswer: 2*n**2 + 2*n + 27","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.57 + 0.07. What is the closest to 1\/4 in 0.2, f, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046453599 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1233 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31900 and 26158.\nAnswer: 1307900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -2*t + 117. Let g = t + -112. Suppose 0 = 9*s - 2*s - 140. Calculate the remainder when g is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*u + 3*n - 4, 4*n = 0. Let j = -1380 + 957. Let x = 423 + j. Solve t + u = -x*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534112373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210*g**2 + 2207 - 2207 + (0 - 2*g + 0)*(-4*g + 4*g - 2*g) - g**2 - g**2 + g**2.\nAnswer: 213*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79767.44 rounded to the nearest 100?\nAnswer: 79800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**3 - 22\/3*l - 4*l**2 - 4.\nAnswer: -2*(l + 1)*(l + 2)*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = 5*m, 4*a - 25 - 11 = -4*m. Let d = 2030561\/917895 - 2\/27815. Calculate the common denominator of ((-2)\/a)\/((-7)\/(-46)) and d.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 9 in ascending order.\nAnswer: -5, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20)*8\/3\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from geeiefffiigevufge. Give prob of sequence gvi.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 30282.4042 to 0 decimal places.\nAnswer: 30282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.3, -25, 20, -4\/3, 133 in ascending order.\nAnswer: -25, -4\/3, -0.3, 0.2, 20, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.182 to one dp.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (8 - 0) - 3) + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - 6) + (8\/(-4) - -1). Solve -3*d - 3*h = -z, 25*d - 21*d - 31 = 5*h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*m + 17*m, 0 = -2*w + 2*m + 438. Solve -19*f + 240 - w = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-1)\/1*5. Let i(b) = 22001*b + 3. Let g be i(j). Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -25*i - 2. Let x be c(9). Let j = 46 - x. What is the tens digit of j\/(-65)*(0 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 271082? (a) -21 (b) 0.5 (c) -3 (d) -2\/11 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*q**4 + 38*q**3 - 164*q**2 wrt q?\nAnswer: 168*q + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 14 + 17)*(0 + 4 - 3)*(0*g - g + 3*g).\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*a - 70*a + 54*a**2 - 68*a.\nAnswer: 54*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -275*c + 158. Let t(v) = 92*v - 53. Let z(h) = -2*l(h) - 7*t(h). Find the first derivative of z(u) wrt u.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 4*a**2 + a + 2. Let p be 11\/4 + 9\/(-12). Give i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -5, 7, 3, 1, 2 in decreasing order.\nAnswer: 24, 7, 3, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 29 = -a, 3*a - 3*q - 120 = 2*q. Find the common denominator of -3\/2 and (-1)\/3*(-21)\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -58)*-1 + -4 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a**2. Let l be -2*(-1 + 0 - 1). Let t(h) = -5*h**2. What is l*t(p) - 6*k(p)?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38724 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*r - 65960 - 8744. List the prime factors of r.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5\/5 - 262*d**4\/5 - 894*d**3 - 5504*d**2\/5 + 2048*d = 0. What is d?\nAnswer: -32, -5\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 544.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 133. Let t be 15\/(-28) + 38\/d. Which is the nearest to t? (a) -3\/4 (b) -1\/3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -25 - (5 - ((-9 - (8 - 9)) + 31))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - -19.11. Let d = -2.22 - 22.98. Let w = d + j. Round w to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, -358 in descending order.\nAnswer: 3, -3, -4, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + 15 + 20)*(2 + -6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (26 - (18 - 30))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/4 (b) 1\/28 (c) 2\/43 (d) 1\/18 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -438*r + 440*r - 14 = 0. Suppose -w - 1956 = -r*w. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599075268.\nAnswer: 2, 3, 11, 541, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/30 in -1, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -986634*t**3 - t**2 - 1395335*t wrt t.\nAnswer: -5919804*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 390 (b) -13\/11 (c) 1\/6 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16379 + -7?\nAnswer: -16381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 3 = -4*a + 3*i, 0 = 4*a + 2*i - 36. Let z = 1 - -11. Calculate the remainder when z is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-2)*(-140 - -142). Sort 0, -2, -29, p in decreasing order.\nAnswer: 0, p, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -14*u**5\/3 + 4784*u**4\/3 - 31462*u**3\/3 - 9884*u**2\/3 + 56232*u + 16080 = 0.\nAnswer: -2, -2\/7, 3, 6, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1441 = -14*y. Let d = 49 + y. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**2 - 828 - 875 + 1719 + 2*n**4 in the form i + d*n + g*n**2 + u*n**3 + c*n**4 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.10716 to one decimal place.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-474\nAnswer: -94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/7 - 10\/(-2))\/1. Which is smaller: z or 22\/21?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 30*x = -10. Let c(f) = x - 10*f - 7 - 43. List the prime factors of c(-18).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395.09 + 1.91. Let k = i - 394. Which is the second biggest value? (a) 2\/19 (b) k (c) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -11772057?\nAnswer: -11772062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*c - 0*c, 0 = -5*l + 3*c + 11. Suppose 3*y + l*j - 48 + 8 = 0, 30 = y - 2*j. Calculate the highest common factor of y and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1. Let x(o) = 3*o**3 + 8*o**2 + 1. What is -k(i) + x(i)?\nAnswer: 3*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 4216 = 0. Let i = p - 354. Suppose 0 = 8*w - w - i. 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: Is 167 a factor of 2174841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/5 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + (2 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212*i**3 + 34 wrt i.\nAnswer: 636*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 9*t**2 + 19*t - 6. Let i be f(6). Suppose i = -56*d + 51*d + 2*w + 8632, 3*d - 5173 = -5*w. What are the prime factors of d?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7*-0.362\nAnswer: 0.9774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (2 + sqrt(2))**2).\nAnswer: -20*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1541, 2, -5, 33, -1354 in descending order.\nAnswer: 33, 2, -5, -1354, -1541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**7\/14 + f**6\/10 + 3*f**5\/10 + 88*f + 76. Let w(j) be the first derivative of o(j). Factor w(x).\nAnswer: -3*x**3*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r = 2*m - 18*r - 196, -5*m - 3*r = -466. Let z be 0 - (95 + 2\/(-1)). Let j = m + z. Calculate the greatest common factor of j and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137.6 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 17*n + 9. Let x = -42 - -26. Let p be s(x). Let g be p\/((-14)\/6) - -240. Calculate the greatest common factor of 27 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 20 + (4 - 1)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 2*w, 58*w = 53*w + 15. Solve -3*d = -4*r - 5, -h*d - 2*r = 58 - 50 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**6\/24 - f**5\/4 - 5*f**4\/12 - 4*f**2. What is i in z(i) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*m - 359 + 332, -27 = -5*m + 24*q for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 5*n + 42 = 0, 0 = -5*y - n + 78. Suppose 5*d = d + y. Solve d = 2*a + 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1318894701 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -106, -66, 10, 134, 318, 574, 914?\n\"Answer: 2*v**3 + 2*v - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 + 4 + 3*o**2 - o**2 to g + k*o**2 + b*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 13d?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 93810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -502.0000405 - -502. What is v rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1*-2*84\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21958709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940*a - 929*a + 1866*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -969*j**2 - 1 - j + 2203*j**2 - 1235*j**2 - 2*j. Let z(l) = l**2 - l. Determine -v(n) + 3*z(n).\nAnswer: 4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 81624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**2*s**5 - 46*a**2*s**2 - 9*a*s**2 + 44*s**6 wrt s?\nAnswer: 360*a**2*s**2 + 5280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -338*j**3 + j**2 + 3*j + 2. Suppose -4*q + 16*q = -12. List the prime factors of w(q).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 74615.35 centuries?\nAnswer: 7461.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 15*b**2 - b + 28*b**2 - 12*b**2 - 11*b**2 to the form u*b**2 + t*b + c and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6693 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/12)\/((-6)\/(-27)*-6)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, 1 v, and 1 s when four letters picked without replacement from {p: 2, v: 4, s: 1, w: 4}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14953757.\nAnswer: 7, 13, 101, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:16 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212 + 33?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 32007903*l - 128031564.\nAnswer: -3*(l - 10669297)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let v(a) = 2*a**2 - 3611*a. Determine g(v(k)).\nAnswer: -8*k**2 + 14444*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 442*r + 9183. What is a(20)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 greater than -4574868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.5. Let w = -133.4 + 133. What is the nearest to p in 0.3, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1060*z + 240 + 295 - 536)*(2 - 2 - 2).\nAnswer: 2120*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.43 and -0.2.\nAnswer: -6.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, 0.5, 0, 168, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**4 + 11*v**2 + 4*v + 3*v**4 - v - 8*v**4 - 2 + 43*v**3 - 14*v**2 in the form i*v**4 + u*v + h*v**3 + c*v**2 + t and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, 9886893.\nAnswer: 0.1, 0.3, 9886893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1825387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4954010*d**2*k**2 + 48*d*k**2 + 8036174*k**2 - 18*k with respect to d.\nAnswer: -9908020*d*k**2 + 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 2. Suppose 3*d - 12*n = -15*n + 21, 3*n = -4*d + 23. Suppose d*c - 495 = -v*c. What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2000)*2 + sqrt(2000) - sqrt(2000))*-1)\/((sqrt(4) - (sqrt(4) + sqrt(176)\/sqrt(11)))*-6*3).\nAnswer: 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.082 and 30902293.\nAnswer: 30902292.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 4*v + 4*j - 4 + 12, 0 = 9*v + 5*j + 13 - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/3 - 25*u**2\/3 + 22*u = 0. What is u?\nAnswer: 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512013 and 342578?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 0.1, -0.5, -4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -24*b + 22*b - 6, 5*w - 2*b - b = -5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 38 = 2*v. Calculate the remainder when 73 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (44 + 5 - -4 - 22)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331)*-1 - sqrt(1331)) + -2)*3 - 6*(sqrt(11) + -1*(sqrt(11) + -1)**2 + 2).\nAnswer: -84*sqrt(11) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/(6\/(-18)) + 13. Does 24 divide v\/(-119) + (-2452)\/(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + (-8 - 0))*(-53)\/3. Let g = -211 + u. Solve 1 = -r - n, n + 12 = 5*r - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -994, -2532, -4614, -7240, -10410, -14124?\nAnswer: -18382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 38 = 6*j. Let n(x) = -29*x - 47. Let z be n(j). Let v = 40 - 26. What is the highest common factor of v and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15893.000008119 - 15893. What is b rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 67*a**2 + 1536*a - 122. Calculate j(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058) - (-6*(sqrt(2058) - ((sqrt(2058) - 3*sqrt(2058)) + sqrt(2058))) - sqrt(2058)))\/((sqrt(108) + -4*sqrt(108))\/sqrt(2)).\nAnswer: -98*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 569, -3, 3\/5, -16?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14.5. Which is the third biggest value? (a) t (b) -0.02 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:23 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222013795.\nAnswer: 5, 17, 83, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f + 4. Let r(c) = -2 + 265*c - 128*c - 71*c + 1 - 67*c. Suppose 2*b + 5 = -5. What is b*r(o) - n(o)?\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301089.4 litres to millilitres.\nAnswer: 301089400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kizkkkfik. Give prob of picking 1 f and 2 i.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggbgggbgg. What is prob of sequence gg?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d + 2. Let j = 311 - 282. Suppose 14*v = 12*v + 5*l + j, -2*l = 4*v + 2. Sort -3, v, d in increasing order.\nAnswer: -3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 - 8*r + 11. Let i be x(7). What is the hundreds digit of ((-4)\/i)\/(-3 - (-3272)\/1092)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.056 + -22.944. Let a = 23.38 + z. Let b = 0.319 - a. Round b to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2. Let v be -1 + (-34)\/(-3 - -1). Suppose 0 = 6*d - 2*d - v. Let l(z) = z - d*z + z. What is l(h(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 161721 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*v**2)*((5 + 0 - 1)*(3*v - v - v) - 44 + 44 - 13*v) - v**3 - v**3 + 0*v**3 to the form q + d*v + c*v**2 + s*v**3 and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -0.1 (b) 5\/2 (c) -0.2 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 4:15 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 2, d: 4, s: 7, e: 2, c: 1}. Give prob of picking 2 d and 2 e.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r - 39417 = 36819 - 15902. Calculate the remainder when r is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/(-6) + 11\/33. Let f be 20\/2 - (v + -10). Let r(x) = 3*x**2 + f*x**2 - 7*x**2. Let u(t) = -3*t. Calculate u(r(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 4)) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 74. Let h(a) = -a**2 - a - 2. Let x be h(0). Let b(u) = 4*u**2 - u + 2. Calculate the remainder when w is divided by b(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/189 - (-3 + 13 + -9).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, 9, 27, 47, 69?\n\"Answer: q**2 + 13*q - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.03115 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*f + 25 = 9, 5*l - 25 = 5*f. Let x be (-8)\/l - (-8 - -6). Is x > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005319646 to four dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {w: 1, h: 1, i: 1, d: 2, y: 5}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -15. Let l = o - 18. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -228\/307, 137?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - g**5 + (5*g**2 - 4*g**2 - 2*g**2)*(0*g**3 + g**3 - 2*g**3) + 3*g**3 - 3*g**3 + 3*g**5 - 10*g**4 + 10*g**4 - 7*g**5.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232\/(-60) - (-10)\/(-75). Let n(z) be the first derivative of 2*z**4 - 4*z**3\/3 + 17. Let g(p) = 3*p**3 - p**2. What is t*n(x) + 11*g(x)?\nAnswer: x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 b when three letters picked without replacement from bhhbhhbhhhhhhhhhhh?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8 + -7. Let b = -3 - c. What is the biggest value in 1, -1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5 = 3*t + 17, 2*t = -4*z. Let k = 3.4 - 0.4. Let v be (-6 - -4)*(-10)\/(-4). Sort 0, t, k, v in decreasing order.\nAnswer: k, 0, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 - 4*a**2\/11 + 70*a\/11.\nAnswer: -2*a*(a - 5)*(a + 7)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 555 and 24?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/4)\/(2\/5). Suppose -2*p + 0*w = 3*w + 3, -z*w - 5 = 4*p. Let x = -37\/4 + 10. Are p and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01987 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18719 = -a + o, 32*a + 18749 = 33*a + 4*o. What is a rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*o - 5*y, 0 = -3*o - y + 41 - 25 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2572, -5141, -7708, -10273, -12836, -15397?\nAnswer: -17956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 2. Suppose 0 = -5*k + 3*k + 8. Suppose 3 = k*t - 33. Suppose 2*v - 2*m - 2 = 0, 0*v - t = -4*v + 5*m. Calculate z(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*6*15\/9. Let v(h) = -h**3 + 8*h**2 + 13*h + 3. Let x be v(m). Let f = 113 + x. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/15 - 5*d**4\/9 + 332*d**3\/9 - 320*d**2\/3 + 271*d. Solve g(i) = 0.\nAnswer: -16, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 1. Let c be i(1). Solve -3*j = -5*o + 2*j + 10, 0 = 5*o - c*j + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1714700015 or -1714700014?\nAnswer: -1714700014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.43 - 1.69. Let i = y + 6. Let t = 0.64 + i. What is t rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -448 + 297?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51040 and 6380?\nAnswer: 51040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 11490703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163778 is divided by 12597.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93\/233890 or 1?\nAnswer: -93\/233890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -17*d**5\/12 + d**4\/12 - 67*d**3\/2 + 226*d**2. Differentiate m(z) wrt z.\nAnswer: -170*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2, 36, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(21)\/sqrt(3))*-4 - (0 + (sqrt(396) - 2*sqrt(396) - sqrt(396)))**2.\nAnswer: -1584 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 160 (b) 0 (c) -18812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t + 744 = -312. Solve -5*y - t = -4*d, d - 6 = -2*d + 3*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -77?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 3 + 21*n**4 - 2*n**4 - 1 - n + 11*n**4 - 3*n**3 as v*n**2 + f*n**4 + g*n**3 + j*n + y and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 897344366\/8589 - 104476. Does p = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3864104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-3)*78\/(-52)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 90.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 432406\/41 at least 10547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1604764 to three decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -207, 0 in ascending order.\nAnswer: -207, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**2 - 3*d - 5. Let t be y(5). Let f(x) = -x**2 + 15*x - 1. Let a be f(11). Let s = t - a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -52. Let a be (-3)\/6 - (-10)\/4. Calculate the remainder when a\/5 - 303\/(-5) is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 2*i = -49. Let k(m) = m**3 - 12*m + 7. Let q(j) = j**3 - j**2 - 11*j + 7. Let d(s) = -5*k(s) + 6*q(s). What is the units digit of d(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:07 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-195)\/(-50))*-6 + 140516\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 424728 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 363*h - 17739. What is g(46)?\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 6*d - 2. What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3 + 3*a**2\/2 + 7*a - 2. Suppose -21*i + 24*i = -9. Let m be t(i). Solve -h - 4*h = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 7:38 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 3 + 3)*(-b**2 + b**2 + 2*b**2) + 175*b**3 - 254*b**3 + 3869*b**3.\nAnswer: 3784*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8b06 (base 12) in base 11?\nAnswer: -156a53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*u + 6, 1 = 2*u + 3. Let c be (-2 - -10)\/2 - 1. Let v = c - -19. What is the remainder when v is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278209597 to the nearest integer?\nAnswer: 16680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, h: 7}. What is prob of sequence tht?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 0.1 (b) 0.04 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 12*n - n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 12*h + 2224. Let t = -196 - h. List the prime factors of t.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from vdvvdvv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*c + 35 = 0, -2*s + 5*c + 3 = -30. Let k be (-1 - s)*(-9 + 8). Solve n + 4*i = -0*i + 15, -k*n - 3*i - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2771.2 + 2771. What is the nearest to -2\/5 in 0, -21, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15820054 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*d - 8*d - 41*d + 13*d.\nAnswer: -61*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-223)\/(-9) + 6\/27. Suppose 24*v - i*v - 4 = 0, 5*v = -l - 22. Let f(u) = -u**3 + 2*u + 3. Determine f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2\/2 + y - 1. Let v be t(2). Which is greater: v or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 494073777 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 10. Suppose y - 1 = -5*z, 41 = 7*z + 113*y - 116*y. What is the closest to 0.2 in l, z, 11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a + 330 = 46*a. Let o be 5 - 9\/(54\/a). Factor 0 + 0*n**2 + o*n + 2\/13*n**4 + 0*n**3.\nAnswer: 2*n**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1364, -1342, -1282, -1166, -976?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18573.99991702 - 18574. What is n rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 29*n**2 - 18*n - 10. Let o be m(-11). Let s = o - -252728\/127. Which is the third biggest value? (a) s (b) -2\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8132\/24 - 8\/192*-4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 1 + 1\/60*y**5 + 1\/6*y**3 - 1\/6*y**4 - 2*y**2 - 1\/120*y**6 + 0*y. Calculate o(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50447419 or 2?\nAnswer: -50447419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3 + (-8)\/(-6). Let r be -23 - (u - -1)\/2. Let b be 3\/((-27)\/r)*3. What is the greatest common divisor of 20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + h - 4*h)*(2 - 2 - h + h - 2*h + 3*h + (-3 + 2*h + 3)*(3 - 1 + 0) + 1 + h - 1 + 4*h - 2*h - 3*h).\nAnswer: -45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 37. Let l(d) = d**3 - 21*d**2 - 20*d - 16. Is l(i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, 33, 0.5, 1\/2301?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (87\/145)\/((-18)\/20). Let p(l) be the third derivative of -l**4\/12 + l**2. Let u be p(-1). What is the third smallest value in k, u, 2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 351656419, 703312838, 1054969257, 1406625676?\n\"Answer: 351656419*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-3) + 17\/51?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o. Let w be t(6). Let a be 2 + 6*(-4)\/w. Suppose 6*f = -3*i + 5*f + 203, -a*f = 2*i - 152. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 0*w + 4*w + (-3 - 3 + 3 + 2 - 2 + 1 + (-6 + 2 + 3)*(3 + 3 - 4) - 3 + 2 + 2 - 1 - 1 + 4)*(-7 - 2*w + 7).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*m - 189*m - c = 0, -2*m - 6 = 2*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -8. Let y be 1\/3 + k\/3. Suppose 4*l + 6 = y*j, -2*j + 7 - 3 = 2*l. Solve l = 4*i - 9*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -262104 - 659?\nAnswer: -262762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 46278.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -129*(2 - (-16)\/(-6)). Suppose -3*p - 2 + t = 0. Suppose m - 666 = -5*x, x - p = -m + 102. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 7:38 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**16\/t*t)**(-41)\/(t**(-18)*t*t)**(-4\/15))**(-32) assuming t is positive.\nAnswer: t**(316928\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 11*c**2 - 11*c + 41. What is the units digit of s(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = -8*c + 134. Let i = 54 + c. Let k(z) = z**3 - z - 19. What is k(i)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794898 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 105 - 104 - 68*9\/24*1\/3\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599610309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:33 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*r**2)*(9 + 19 + 37).\nAnswer: -195*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72057 is divided by 128.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 82 - 50 - 39. Let k be m(19). Solve -k = 4*o - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3, 2\/5, 2\/33, 5, -3258?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*f. Let p(h) = -h**2 + h + 7. Determine p(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -2. Suppose 2*n - b = n. Suppose -39 = -8*q + n*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.76 to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*f**2*u**2 + 3*f**2*u + 18*f**2 - 18*f*u**2 + 48*u**2 + 8*u + 2 wrt u.\nAnswer: 42*f**2 - 36*f + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -7. Let f be (2\/(-2))\/(10 - 0). Let s = 245 + -2693\/11. Which is the closest to -2\/7? (a) s (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q - 4*q)*(31 + 77 + 6)*(-5*q**2 + 3*q**2 + 4*q**2 + (0 + 0 + q**2)*(-2 + 4 + 3))*(-1 + 0*q**2 - 3*q**2 + 4*q**2).\nAnswer: -1596*q**5 + 1596*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -55*r**2. Let c(t) be the second derivative of -t**4\/6 - 138*t. Give p(c(w)).\nAnswer: -220*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5*(-10 + 0). Suppose -5*z = 4*w + 31, 6 = y*z - 6*z. Calculate the smallest common multiple of 4 - (w\/1)\/(-2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 37*n - 147. Give t(25).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*d*o**3 + 3*d*o**2*s**2 - d*s**2 - 8*o**3*s**2 - 14*o*s**2 wrt d?\nAnswer: 6*o**3 + 3*o**2*s**2 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (469\/2546*4)\/((-4)\/(-38)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 951347 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 1785*l**2 - 5328*l.\nAnswer: -3*l*(l - 592)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30013 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/32)\/((-7)\/28)*(-116)\/29\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 37764*j - 75516.\nAnswer: -3*(j + 2)*(j + 12586)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -5. Let u be c\/(-18) - 290\/60. Sort -3\/4, 3\/16, 4, u.\nAnswer: u, -3\/4, 3\/16, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q = s + 4548, 3*s - 18185 = -4*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m. Let b(p) = 6. Let y(l) = 3*l + 71. Let u(r) = -2*r - 36. Let s(o) = -5*u(o) - 3*y(o). Let j(c) = 33*b(c) + 6*s(c). Determine z(j(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -23\/4 (b) 3 (c) -0.15 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 + 7*i + 8. Let v be g(8). Suppose -6*h - 3*o + 51 = -2*h, 5*o - 25 = v. Let l = 15 - h. Which is greater: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456342841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/12*(-670)\/20 + 6. Are 259 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149215 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*a - 22, 4*a - 14 = -2. Let u(y) = 13*y**3 - y**2 + 1. Let w be u(1). Let n = w - 22. Is g at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3360 by -10611.\nAnswer: 1120\/3537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4979 divide 2787064956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 78 - 58 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 497\/38 >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 5, u: 1, d: 2, c: 3}. Give prob of sequence hd.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111401 and 119?\nAnswer: 779807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -396, -616?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1\/5, -23\/101, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39176, -78353, -117530, -156707, -195884?\n\"Answer: -39177*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7)**(-25))**(-5\/2) assuming s is positive.\nAnswer: s**(875\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2) - (-1)\/2. Suppose 4*f + 12*v = -76, -10 = 5*f - 4*v + 2*v. Put u, f, -9 in ascending order.\nAnswer: -9, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1713660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132597 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -2.02. Let o = -2.1 - j. Let f(y) = -y - 6. Let h be f(-6). What is the nearest to o in -2, 1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 9*g - 3. Let t = 3 + 3. Let m be v(t). Let k(i) = -2429*i - 12070. Let d be k(-5). What is the greatest common factor of d and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508512 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077262761 rounded to seven decimal places?\nAnswer: 0.0007726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 2\/9, 2\/7, 2\/3, -37?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - c + 4 - 1, -8 = 4*c. Suppose -2*t - 20 = -4*f, -2*f + 12 = -2*t - 2. Solve -2*o + f = -a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/24 - j**2. Let b(f) = 0 + 0 - 229*f + 40*f + 180*f. What is g(b(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*l + 9 = 0, v + 5*l + 21 = 35 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*x + 12424 = 0, 2*a = 2*x + 8854 - 2634. What are the prime factors of a?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/4 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772691.095 + -16987?\nAnswer: 1755704.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 y when three letters picked without replacement from nnynjnyonyonnnj?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 18*l + 5*l + 2 - 3*l in the form s*l + q and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 148647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 29. Solve -i*f - 7 + 15 = -d, 11 = -f - 4*d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 19 = 4*v, 3*v = -3*f + 11 + 1. Solve -5*c + 2*t + 2 = -0, 2 = f*c - 2*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 0) + 560\/420*2\/(16\/(-60)). Suppose v*d**3 - 72\/7 - 320\/7*d - 234\/7*d**2 = 0. Calculate d.\nAnswer: -1, -2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 + 10*w**2 + 6*w**2 as j*w + t*w**2 + g and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*k = -34, 0 = -2*f + k - 26 + 8. Let g(s) = s**3 + 6*s**2 - 7*s + 3. Let v be g(f). Solve -9 = v*w, -5*h + 2*w = -h - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + -3)**2 - sqrt(98))*-4.\nAnswer: -428 + 196*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 divided by 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 68*y**2 - 94*y + 14. What is b(2)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 130680*h*o**2*v + h*v - 2*h + 7*o**2*v - 23*o*v + 2*v + 2417 wrt o.\nAnswer: 261360*h*v + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14 + (-42688)\/(-644) + -2 + 3.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3690891 is divided by 617.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4593534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 8880?\nAnswer: 17760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2784 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6652832 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10158157181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-138)\/(1 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 3. Let m be t(0). Suppose -4*f - 33 = v - 302, 198 = m*f + 2*v. What is the remainder when f is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 11476788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540084692.\nAnswer: 2, 7, 19288739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.660797943 plus -0.4?\nAnswer: 0.260797943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315008 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*26*3\/9. Calculate the highest common divisor of f and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 54, 107, 160, 213, 266?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16532789 and 6069.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67027 (base 8) to base 16.\nAnswer: 6e17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**4 + d**3 + d**2 - 1. Let x(q) = -2*q**4 - 102*q**3 - 492*q**2 + 605*q - 3. Let v(u) = -x(u) + 3*y(u). Factor v(o).\nAnswer: 5*o*(o - 1)*(o + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = 3*g, 0 = 5*g - 0*p - p - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -1 in descending order.\nAnswer: 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104, 205, 306, 407?\n\"Answer: 101*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrcrcyccycccr. Give prob of sequence rcc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zttttzzq. What is prob of sequence tq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 146*x**2 + 8*x + 37. Is m(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56992.5922 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = z - 2*z, 0 = -z - 5. Find the common denominator of 101\/10 and 651\/o*2\/(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 36*a**5\/5 - a**3 - 32. What is the third derivative of z(q) wrt q?\nAnswer: 864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 202, 5, 8, -1 in descending order.\nAnswer: 202, 8, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, a: 4, s: 6}. What is prob of picking 2 s and 2 q?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 679 - 699. Put b, -2\/7, -1.2 in descending order.\nAnswer: -2\/7, -1.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let o = a + 1. Let u(k) = k**3 - 2*k. What is u(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-1*sqrt(1100) + sqrt(1100) - sqrt(1100) - sqrt(1100))\/(1*sqrt(576))*3)**2 + -4)*-4.\nAnswer: -275 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3853131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -710142 divided by -6.\nAnswer: 118357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**18\/z)\/z)\/z*z*z**(-1\/6)*(z*z**(3\/7))**(-40))**(8\/3) assuming z is positive.\nAnswer: z**(-6940\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 531*j + 2580.\nAnswer: 3*(j + 5)*(j + 172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -289. Let l = 231 + g. What is the remainder when l is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 4*n - 38, -5*z + 12*n - 52*n + 32*n = -66 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*k**3 - 4*k**3 - 3*k**3 + (390*k + 445*k - 664*k)*(5*k - 5*k - 2*k**2) to the form y*k + i + v*k**2 + o*k**3 and give o.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 2:34 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 12*g**2 + 16*g + 39. Let t be s(-13). Suppose t = 115*v - 104*v - 88. Sort v, 0, -1, 1 in decreasing order.\nAnswer: v, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5110476 is divided by 3062?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let t be f(10). Suppose 0 = -a - t*a + 2431. Calculate the highest common factor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 18*j**2 - 13*j + 12. Let m = 38 - 30. What is the tens digit of u(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/2, -0.2, 3, -1.37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*((4*1*sqrt(91) + sqrt(91) + (-6*sqrt(91)*1 - sqrt(91)))\/(1*sqrt(567)*-4))**2.\nAnswer: -13\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191929 is divided by 755.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d**2 - d**3 + 79*d**2 - 40*d**2 - 7 + 11*d - 18*d**2. Determine y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dyyduzyky.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 11 (c) -2\/3 (d) -0.5 (e) 4892\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544023, 2176060, 4896115, 8704188, 13600279, 19584388, 26656515?\nAnswer: 34816660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*a + 11*a - 2*a**5 - 2*a**4 + 15*a)*(3 - 3 - 1).\nAnswer: 2*a**5 + 2*a**4 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-121)\/22)\/1*-2)\/((-2)\/(-1634)). What is the highest common factor of 57 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 9632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10447381 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.77 - 305.23. Let g = -306.96 - c. Let x = -19.11 - -19. Which is bigger: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/4 - 18\/24. Let y be 1\/d*-9 - 0 - 1. Solve 2*k = 6*k + 2*z - 8, -y*k + 5*z = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -27849, -55684, -83509, -111318, -139105, -166864, -194589?\n\"Answer: h**3 - h**2 - 27839*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Suppose -z*u + 2*k + 5 = 2, 2*k - 3 = u. Suppose 996 = -u*w + 4941. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(136))\/sqrt(8) + 2 + (sqrt(119)\/sqrt(7) - sqrt(17)))**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/15 + 5*n**4\/24 - 7*n**3\/6 - 5*n. Let x(o) be the second derivative of d(o). List the prime factors of x(-4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19191 is divided by 9583?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8169, 3727, -721, -5175?\nAnswer: -9635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = d - 5*d, 0 = -4*j + 3*d. Let o be 0\/(j + 2) - -79. Let w = o - 39. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 q when four letters picked without replacement from {m: 1, l: 4, w: 1, q: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3960)\/154)\/(3\/(-14)). Suppose -180 = 5*q + b. Let n be (2 - -2) + q\/16. What is the second smallest value in n, 1\/12, -2?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145819?\nAnswer: 29, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -322203123 + 31?\nAnswer: -322203042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 435354013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 556*a**5 - 409*a**4 + 24*a**3 + 3844*a**2 - 1274*a?\nAnswer: 33360*a**2 - 9816*a + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 11 + (4 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236325452?\nAnswer: 2, 11, 5371033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 84017, 82701, 81385, 80069, 78753?\n\"Answer: -1316*n + 85333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1\/39, 20, -3, 1?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0 + -2)\/1. Sort o, 7, 2 in decreasing order.\nAnswer: 7, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2860 + 10873 + 8658 - 703)*(2*u - 5*u + 4*u) to q*u + z and give q.\nAnswer: 15968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 2)*(-3 + 2 + 3)*(-1 - 1 - 1)*(-179*o - 8*o + 31*o) in the form l*o + w and give l.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12586571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/2*(-2 + 3). Let x = -275 + 291. Suppose i = -3*r + x + 23. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-39) - 14\/(-6)*1. Let o be (-20)\/((0 - 2) + (-9)\/(-9)). Suppose -15*a + o*a - 80 = 0. Solve -w*h = -4*g - 6 + 2, -a = 2*h + 2*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65622 - -131273\/2. Let f = -211\/140 - -33\/14. Calculate the common denominator of c and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4579001 to the power of 1\/3, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -14*x**3 - 26*x**2 - 17*x + 9. Let d(r) = -5*r**3 - 9*r**2 - 6*r + 3. Let k(m) = 6*b(m) - 17*d(m). Let o be k(3). Solve -o*s + 4 = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*j. Suppose -3*d + 69 = -j*d. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 25*q + 6. Calculate the least common multiple of r(-6) and 501.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)*2\/13. Which is the nearest to -1\/4? (a) r (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 744050 + 18 + (-6)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50\/23, -0.01, 1\/5, -1\/5 in descending order.\nAnswer: 1\/5, -0.01, -1\/5, -50\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 3*v + v + (24*v - 10*v - 9*v)*(6 + 16 - 7) as f*v + c and give f.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (15 - 4) + -1 + 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 78822 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 105269*i**2*o + 4*i**2 + 4467*i wrt o?\nAnswer: 105269*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/2))**(15\/2)\/((u**(2\/5)\/u)\/u**(-2\/11)))\/((u**5\/u)\/u**(2\/9))**26 assuming u is positive.\nAnswer: u**(-171377\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((29 - 32) + 21\/9)*-6. Solve 3*u - 7 = -p*n, -5*n + 2 = 4*u - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 l when four letters picked without replacement from uiiuliil.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.4999 times -1360.5\nAnswer: -2040.61395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*t**2 + 10 + 13501215*t - 13501215*t + 204*t**2 - 10.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + 3 + -3 + 3.\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129803 + -9995017\/77. Let s = 14\/11 + v. What is the fourth smallest value in s, -1\/4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2974*h - 2982*h - 29*h**2 - 27*h**2 + 5938*h.\nAnswer: -56*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 10:22 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6733000739 - 0.8\nAnswer: 6733000738.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = -q. Let m(a) be the second derivative of a**4\/4 - 7*a**3\/2 - 664*a. Let g be m(q). Calculate the greatest common factor of 135 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7071.\nAnswer: 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175774, -175844, -175986, -176218, -176558, -177024, -177634?\nAnswer: -178406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 18*u - 5. Determine p(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13 = -2*t + 7, 5 = t - s. Suppose 5*v - 3 = -5*q + 17, 4*v - 3*q - 16 = t. Solve -5*y + 7 = 2*g, v*y = 4*g + 2*y + 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -4760, 3, -3, 1, 4 in decreasing order.\nAnswer: 8, 4, 3, 2, 1, -3, -4760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-60)*(-6)\/(-28). Sort -2, j, 1\/6, 4\/5 in decreasing order.\nAnswer: 4\/5, 1\/6, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(2 + 2*r - 2)*(1 + 6*r - 1) + 14 - 4*r + 2*r**2 + 2*r - 13.\nAnswer: 26*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/6, 48, 0.02?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 7:05 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.715 or 286715?\nAnswer: 286715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -109176, -109166, -109156, -109146, -109136?\n\"Answer: 10*q - 109186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - -75*(-11)\/(-33). Solve g*m = 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 677a (base 11) to base 4\nAnswer: 2023120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4587 at most as big as 4585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -321102011?\nAnswer: -321102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 179629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.308358 rounded to one decimal place?\nAnswer: -105.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60866690, -60866688, -60866686, -60866684, -60866682?\n\"Answer: 2*a - 60866692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.021 - 1.021. Let x = -3 - -2. Which is the nearest to k? (a) -2\/9 (b) -4\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4\/3, 0.3, 3, -1027?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1211*z - 4885. What is s(4)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 177*u - 2899. What is y(-15)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 179*n - 174*n - 32439, 3*n + 32383 = 2*j. List the prime factors of j.\nAnswer: 2, 8101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56062*r**2 - 10656 wrt r?\nAnswer: -112124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 36 and -150\/83 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*g - 8236 - 15326 = -2688*g - 140994 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10803821 * 2\nAnswer: -21607642","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.8 and 0.05.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/((-32)\/(-240)) + (-726)\/(-110)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16983047*f**2*w**3 - 3*f**2*w**2 - 15*f**2*w - 33124 wrt w?\nAnswer: 101898282*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2020707)\/23322)\/303 - 8\/(-26).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfizfajiziiijiiui. What is prob of picking 1 z and 1 a?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 25, -19, -83, -167, -271?\n\"Answer: -10*h**2 + 6*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220789 is divided by 160?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -40 - 21 - -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.12079*0.3\nAnswer: -0.036237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 49, -2\/41, 2, 10?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 169, -4, -117 in decreasing order.\nAnswer: 169, 4, 0, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v - 10. List the prime factors of b(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 bigger than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 2*l = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/107 (b) -1 (c) -16 (d) -3\/13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.7 in 4, -3\/14, -2\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5537, -11078, -16621, -22166, -27713, -33262?\nAnswer: -38813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose 4*h = q*h + 21. Is 2\/(-7) - (-993)\/h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1074*x**2 - 1343 + 1343 + 226*x**2 in the form z*x**2 + s*x + h and give z.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from 5.6614495014.\nAnswer: 17.6614495014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -54903 divided by -70\nAnswer: 54903\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2498 - -5244. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 + 27*l - 243. Determine j(0).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(20) - -1*sqrt(20)))*1)\/(sqrt(28)\/(sqrt(7)*3)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -q + 12, 21 = 2*q + 151*v - 156*v. Calculate the remainder when 62 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18980 is divided by 3788.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125218\/25 + 5008. Let m = 464\/575 + i. Put 2\/7, m, 1, -0.3 in decreasing order.\nAnswer: 1, 2\/7, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/(((-96)\/80)\/((-84)\/40))*-136.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 + 2 + 11*r**4 - r**2 - r**4 + r**3 + r to o*r**3 + q*r**4 + p*r**2 + b*r + s and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 783443951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {f: 1, m: 1, q: 6, b: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 + 8*r**3 + 8*r**2.\nAnswer: 2*r**2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 187*l - 2324. Let t be v(13). Calculate the highest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155*0.05\nAnswer: -7.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 77419.\nAnswer: 5\/77419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.363093 rounded to 0 dps?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12009, -24171, -36481, -48939, -61545?\nAnswer: -74299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1584) + 1 + 0)**2 + (-5 + sqrt(1331) + 2*sqrt(1331))**2).\nAnswer: -27178 + 612*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -176662.4728 to the nearest 1000.\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1128*c**2. Let x(g) = 8655*g**2. Calculate b(x(l)).\nAnswer: 84497380200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -54. Which is the closest to 1\/4? (a) -0.4 (b) 1\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -42*n**5\/5 - 3*n**4\/4 + 34*n**3\/3 - 4*n - 429. What is the third derivative of u(t) wrt t?\nAnswer: -1008*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 21*n - 10. Let p be m(1). Suppose 0 = 4*t + 8, 0 = q - t + p - 21. Solve 0 = -x - 4*c + 12, -4*x - 2*c = -q*x - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -9 + (-89 - -94). Sort -2\/171, t, 2 in ascending order.\nAnswer: t, -2\/171, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j - 33 = 23*j. Let d be 40 + (-1 + -2 - -3). Let w = d - 20. Calculate the remainder when w is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-12)*(-3 + 2 + -3). Factor 2*u**4 - 10*u**2 - 6*u**3 + 2*u**5 - 4*u**3 - 4*u + r*u**3.\nAnswer: 2*u*(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 14 - 6 = 0. Let g be (-2)\/(-4)*-1*h. Let q(y) = 7*y + 1. Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-442 + (0 - (4 - 4))). Calculate the greatest common factor of u and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424 = 602*t - 89*t + 199*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 3a7?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, 111, 241, 421, 651, 931, 1261?\n\"Answer: 25*x**2 + 5*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3150 = 29*f - 20*f. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 2*k**2 - 6*k**2)*(2*k**2 - 3*k**2 - 2*k**2) + 121*k**3 - 121*k**3 - 5*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.32 rounded to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**7\/840 + u**6\/45 - u**4\/24 + 15*u**3 + 228*u**2. Let z(y) be the first derivative of i(y). Calculate z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**2. Let g(q) be the second derivative of 131*q**4\/6 + 42*q - 1. Calculate c(g(l)).\nAnswer: -205932*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/56 - ((-22)\/(-4) - 5). Which is the closest to q? (a) -0.2 (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011101101011110000001 (base 2) to base 12\nAnswer: 1892195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6*238\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 11*y - 21. Let n(q) = 5*q**2 + 269*q - 63. Let f be n(-54). Determine j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -23. What is the nearest to -1 in -0.4, a, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g - 114*g + 2*o + 3*o + 61 = 0, 2 = o + 1 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 133*g - 2858. Let b be u(-27). Suppose -2*d - d = -6. Solve 4*o - 3*r = -12, -4*r = d*o + 2 + b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v - 3. Let b(c) = -c. Give b(m(a)).\nAnswer: -6*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*6*2*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 994*q**2 - 4*q - 3. Let a be n(-1). Suppose 0 = g - 5*g - 3*r + 1005, a = 4*g + 5*r. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from btxttbbvbbbtbblbt?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4522278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16898237?\nAnswer: 887, 19051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -194.5 - -195. What is the closest to 1 in 2\/41, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -18 + 55 + 275*c**2 - 17 - 16. Let y(g) = -2*g**2. What is s(y(x))?\nAnswer: 1100*x**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 961025*r**2 + 9*r - 3021 wrt r.\nAnswer: 1922050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -94*s**2 - 9*s + 33. Let m = 395 - 404. Let u be c(m). What is u rounded to the nearest 100?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1236, 1\/3, 202?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-21)\/24*-418 - (-3)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1074, 2377, 4482, 7383, 11074, 15549, 20802, 26827?\n\"Answer: -l**3 + 407*l**2 + 89*l + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**7\/105 - 3*v**4\/4 - v**2. What is the second derivative of l(k) wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 34819576, 34819580, 34819586, 34819594, 34819604?\n\"Answer: a**2 + a + 34819574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4383737 rounded to 3 decimal places?\nAnswer: 3.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201320310 (base 4) in base 14?\nAnswer: 22ca0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 22 = -56. Let o = m - 18. Let p be (2\/(-6))\/(o\/12). Solve p*v - 18 + 2 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 4, -12*u + 2*o + 3*o = -22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -1 - (-9 + -21 + 16 + 7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.175*3.7959.\nAnswer: 0.6642825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3628 - -3627.94. Put -5, -2, -2\/15, h, 2 in ascending order.\nAnswer: -5, -2, -2\/15, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(12558\/(-13409)) + -15 + ((-17170)\/39)\/(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b + -2?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54629*b**4 - 2*b**3 + b**2 + 1028*b?\nAnswer: -1311096*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -7*k - 1. Let n(d) = -d**3 - 5*d**2 + 5*d - 8. Let u be n(-6). Let a be u\/(-1 + -1)*-1. What are the prime factors of h(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 61. Let f be x(-18). Let j(q) = -q**3 - 6*q**2 + 8*q - 5. Give j(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2498516 is divided by 4899.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3274? (a) -0.4 (b) -4\/5 (c) 3 (d) -4 (e) 1544\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x + 329 = -2*t + 164, t - 10 = 3*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/5 (b) 1 (c) 17 (d) 1\/2 (e) -12.7 (f) 3 (g) -2726\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 406 divided by -2636.\nAnswer: -203\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**2 + 1149310*c + 766200.\nAnswer: 5*(c + 76620)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4155 and 389580.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6155 divide 83675992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**4\/28 + a**3\/14 + 3*a. Suppose h(t) = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 - 6*c**2 - 3*c + 5. Let r(v) = 5*v**3 - 5*v**2 - 2*v + 4. Suppose -3*d = 20 - 8. What is d*k(h) + 5*r(h)?\nAnswer: h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3001 divided by 6\nAnswer: 3001\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0161882532 to six dps.\nAnswer: 0.016188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c**4 + 4*c**4 + 4*c**2 - 6*c**3 - 8*c**2 + c**4 = 0. Calculate c.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2063206 divided by -21949.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffyypfpiyfpyiyfify. Give prob of sequence fyp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/21360 and -187\/8768280.\nAnswer: 17536560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7576, 15293, 23010, 30727?\nAnswer: 38444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 1, v: 2, a: 1, j: 4}. What is prob of picking 1 a and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/36702 and 47\/8.\nAnswer: 146808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) + -1 + (-57624)\/(-476). Which is smaller: 121 or x?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*((-2 + (sqrt(1377) - (sqrt(1377) + 2)**2) - -1*(sqrt(1377) + -5)) + 4) + -1).\nAnswer: 288*sqrt(17) + 22148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/4 + 13*q**2 + 269*q\/4 - 161\/2.\nAnswer: (q - 1)*(q + 7)*(q + 46)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 332 - 179. Suppose n + z - 5*z = -14, -4*n - 2*z = -16. Suppose -5*c + n*v = -89, -c + 2*c - v = 19. Calculate the highest common factor of m and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*x - 429*x + 1376*x - 477*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 5*n + 35*n**2 + 5*n**2 - 4*n**2 + 14*n**2 + 23 to v*n + w + o*n**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((4 + sqrt(162) + -1)**2 - ((5*(sqrt(162) + 0 + sqrt(162)))**2 + sqrt(162)))*3*-6 + -4)*-2.\nAnswer: -2308168 + 6480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31842097\/3, 0.4 in descending order.\nAnswer: 3, 0.4, -31842097\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 565*a**2 + 6153*a - 11. Give p(-293).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25502b7 (base 12) in base 4?\nAnswer: 123323022223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4*x. Let v be 0 + -2 - (-5 - -1). Let s be y(v). Let m(f) = -f**2 + 8. Let o(t) = t**2 - 7. Give s*o(q) - 3*m(q).\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/35*20\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - s**2 - 4*s + 1. Let o = 7 + -4. Let v be c(o). Suppose 2*t - 6 = -0. Solve -t*u = -v*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8881.9kg in nanograms?\nAnswer: 8881900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/40 - (-4)\/((-32)\/(-2142))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524207200 to the power of 1\/3, to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 697372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 302 - 300. Solve 2 = 2*m + 4*k - 6*k, -2 = 4*m - h*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, 1\/3, -328\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z + 1. Let p(g) = -34. Let j(c) = 11. Let a(i) = -3*j(i) - p(i). What is 2*a(m) + t(m)?\nAnswer: -7*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4193 and 4792?\nAnswer: 33544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -948*j**3 - 2 - 952*j**3 + 2 + 1893*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*53\/(-2)*-2?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927*k**3 - 1230*k**3 - 1113*k**3 - 550*k**3 + 2*k**2.\nAnswer: -966*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -295 - -294.738. Let h = d - 1.738. What is the nearest to h in -17, 4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u - 23*u + 2*u + 14*u + 0*u. Let p(l) = 5*l. Let w(s) = 18*c(s) - 4*p(s). Let z(y) = 18*y**2 - 8. Determine w(z(v)).\nAnswer: -36*v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 19*o**2 - 22*o**2 + 78 - 10*o**2 + 53*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 169 = -k + 6, 2*o - 70 = -2*k. Suppose -f - 16 = -a, -a = 3*a + 5*f - 82. Calculate the lowest common multiple of 4\/(-14) + 290\/o and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**3 - 65*x**2 + 66*x + 41. Let v(b) = b**3 - 22*b**2 + 22*b + 14. Let l(d) = 3*f(d) - 8*v(d). Is l(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200 (base 4) to base 10\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 + 20*n**3 - 35*n**3 - 45*n**2 + 36*n**2 + 6*n**5 wrt n?\nAnswer: 360*n**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21834063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(238))\/sqrt(7) + sqrt(34) - -2*sqrt(3400)))\/(2*(-1*1*sqrt(2) - (sqrt(98)*1 + sqrt(98)))).\nAnswer: -8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2678088 divided by 168.\nAnswer: -15941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673041471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/3 + 50800*h + 483870000.\nAnswer: 4*(h + 19050)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23950415, 23950421, 23950427?\nAnswer: 23950433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 - 4*a**3 + 5*a**3 + 5*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7}. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1385, -5762, -13057, -23270, -36401?\nAnswer: -52450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11680*t**2*w**3 + 9*t**2*w**2 + 769*t**2 - t*w - 28*w**5 + 2*w**2 + 48 wrt w.\nAnswer: 70080*t**2 - 1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 859 + -855. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -13. Find the common denominator of (339\/27)\/(4\/(-9)*150\/(-100)) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*o**5 - 2 + 2 + 158*o**2 + 43*o**5 + 193*o**3 + 674*o**2 wrt o?\nAnswer: -120*o**2 + 1158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/192964085 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 44 = -4. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 200440303?\nAnswer: 200440313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*x - 26*x = -378 - 1715 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + 4*(4*(sqrt(343) + 1 + sqrt(343) + sqrt(343) + sqrt(343) + sqrt(343)))**2).\nAnswer: -2744315 - 22400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/9*-1)\/((-26)\/(-39))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 141*q + 7447. What is l(-40)?\nAnswer: 1807","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4)\/((-3)\/18). Suppose h = v*h. Factor 1\/3*c**2 + h*c - 1\/3.\nAnswer: (c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27\/10 or -3?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-6)\/(-9) - 1). Let l(g) = -3*g**2 + 24*g - 20. Let i be l(7). Sort i, t, -2 in decreasing order.\nAnswer: i, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 938 and 2412?\nAnswer: 16884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3\/2996000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let p(v) = -13*v + 2. Suppose -12 = 4*u - u. Let l be u\/(-4) + (-3)\/6*-2. Let o(i) = l*b(i) + p(i). Differentiate o(h) wrt h.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.25 - 1.9. Let t = -0.45 + z. Which is the closest to t? (a) -3 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89222 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000371397 rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2, -0.1, 0.73?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.79158696836 - -0.3.\nAnswer: -2.49158696836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 419 - 319. Let a = u - 100. What is the third smallest value in -5, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 + 4 - 2*m**2 + 0*m**2 + 4*m**3 + 2*m - 5*m**3 in the form v*m**3 + u + s*m + n*m**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242 divided by 242.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 366438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 866\/73. Let j be ((-12633)\/30)\/((-146)\/(-4)). Let n = j - r. Find the common denominator of n and -137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1246 and 80759757.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 19*x**2 - 19*x - 34. What is the hundreds digit of r(21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(66) + (sqrt(66) - sqrt(66)*2)))\/sqrt(3)*5)\/((1*sqrt(24))\/sqrt(12) + (sqrt(2) - (-2*((sqrt(18) - sqrt(2)) + sqrt(2)) - sqrt(2)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*15\/(-65). Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 451\/(-143) - 1*-3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240831 is divided by 4446.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 68. Suppose -5*k + d = 5*h - 18, -48 = -2*h + 4*k. 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: 2 * -0.556\nAnswer: -1.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -889.\nAnswer: 4\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6393 (base 11) to base 12.\nAnswer: 4a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5103 + 10640 + 5692)*(-2*s - 2 + 2 + 4*s) in the form k + h*s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89996*u**5 + 43705*u wrt u?\nAnswer: -1799920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 282 and 235088313?\nAnswer: 470176626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1\/2)\/n)\/n)**(5\/12)\/(n\/(n\/(n**0*n)))**(-6\/5))\/(n**1\/(n\/n**(-2))*n**(2\/9)*n*n*n**4\/n) assuming n is positive.\nAnswer: n**(-1103\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let y be m(0). Factor -7*h**y - 40*h - 12 - 3*h**2 - 8*h - 11*h**2.\nAnswer: -3*(h + 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/9429 - 445259\/3143. Which is greater: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = -5*x + 3*l, -x + 3*l = 8. Let o be (-1 + x)\/(8\/(-4)). Put o, -3, -2 in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*n + 11451*j**3*n**2*z - 7*j**2*n**2 + 6*j*n**2 + j*n + j*z + 6*z wrt j?\nAnswer: -24*j*n + 68706*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49475235 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.1 - 2. Let o = -97.987 - -97.887. What is the third smallest value in o, -2\/9, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150918, -151320, -151724, -152130, -152538, -152948, -153360?\n\"Answer: -o**2 - 399*o - 150518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/7 + 0 - (-1292)\/(-4522)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 20, 4*l + 12 + 8 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p = -584 + 143. Suppose -34*a + p*a + 1079 = 0. Calculate the remainder when 163 is divided by a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22948 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3022300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*u**2 - u**4 + 6 + u**3 + 22*u**2 - 5*u**2 + 2*u to s*u**2 + t*u**4 + h*u + f*u**3 + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 202022 (base 4) to base 13\nAnswer: cc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**27*(c*c\/(c*c**(-11\/6)\/c)*c)\/c*c**4*(c*c**(28\/9)\/c*c*c*c*c)\/c)**(2\/9) assuming c is positive.\nAnswer: c**(737\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11123948 and 11.\nAnswer: 122363428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -8730 > -8730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 27*b**2 + 21*b - 73. What is the tens digit of c(31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 300*x\/11 - 6800\/11.\nAnswer: 2*(x - 20)*(x + 170)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.503374 millilitres?\nAnswer: 0.000503374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 - -52. Suppose -2*j - 3*g = -20, -3*g + 0*g + m = j. Suppose 3*a - j*v = 0, 2*a - v - 2 = 3. Solve -7 = a*t - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635715663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*v - 2\/5*v**4 - 6\/5*v**3 - 6\/5*v**2.\nAnswer: -2*v*(v + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -558.910591 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = o - 9, 3*s - 15 = -3*o. Let q = 12 - s. Solve q*r = -r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/55 and -16\/24875.\nAnswer: 273625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k**2 + k - 4*k + k)*((-2 + 4 - 3)*(18*k - 64*k - 19*k) + (-4*k + 3*k + 0*k)*(-2 + 1 - 1) - k + 3 - 3 + 2 - 2 - 3*k).\nAnswer: 882*k**3 - 126*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - p**2 - 3*p + (4 - 4 - 5*p)*(5 - 5*p - 5).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/9 + 2*c**3\/3 - 14*c**2\/9 - 10*c\/3 + 4 = 0. What is c?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a + 285*a - 649*a + 356*a = -6467 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2\/9*s**2 + 2\/9*s - 2\/9*s**3 - 2\/9 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 680641053.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 5 + -96 + 10 + (67 - 84)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -0.01, 0.3, 4\/51, -2\/5.\nAnswer: -31, -2\/5, -0.01, 4\/51, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c - 4. Let i be f(2). Suppose -3 = -3*n + i*n. What is the third smallest value in -1\/5, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1994 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -8. Let i = 5 - 5. Is i greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) 50 (b) 3 (c) 3\/4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/6*4)\/14)\/(2\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 3*z - 83. Let h be (-1)\/(-7) + 117\/z. Find the second derivative of -3*c**5 - h*c**5 + 0*c + c wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 7*j + 4*j)*(-5*j + 3*j + 0*j)*(3*j - j - 6*j).\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2353 + -384. Let y = n + 641. What is the units digit of y\/126 + (-4)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24)\/((-4)\/(-32)*1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*p = 26, -11 = r - 2*p - 3*p. Suppose r*l - 3*c - 55 = 0, 3*c = -5*l + 26 + 36. Suppose 2*x = 1 + l. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/337143 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**4 - 2*s**5 - 4*s**4 + (-2*s**2 + 5*s**2 - s**2)*(1 - 2*s**3 - 1) + 0*s**5 + 0*s**5 - 2*s**5 - 3*s**5 + 3*s**5 + 2*s**5 + 28812 - 287*s**5 - 28812.\nAnswer: -293*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38534724 to the nearest integer?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275) - (sqrt(275) + -2)) + 0 - sqrt(275) - sqrt(275))*-2 + -2)**2.\nAnswer: -240*sqrt(11) + 4436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a + 0*a)*(0 - a**3 + 0) + (5 - 5 + 2)*(-9*a**4 - 22*a**4 + 3*a**4) + a**4 + 0 + 0.\nAnswer: -57*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*y + 12, 3*l + 3*y - 9 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 10) in base 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**2. Let j(w) = 48003*w. Give i(j(y)).\nAnswer: -29955744117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1164447 and 9?\nAnswer: 1164447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 4. Let s = v - -8. Suppose 2*m + 2*m = 0. Solve m = -2*y + s - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 - -101111?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 118 in -0.2, 0.0337, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/4)\/((-76)\/(-456))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 a factor of 217887264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - sqrt(560)\/sqrt(7) - (-1 + (sqrt(5) + 1)**2).\nAnswer: -5*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 19*z - 2*z - 8*z. Let o(w) be the first derivative of 4 + 0*w - 5\/2*w**2. Give k(o(h)).\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 4. Let h be x(7). Suppose h*o = o + 4. Differentiate 2*q - o*q - 1 - 3*q**4 with respect to q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 g, and 1 k when four letters picked without replacement from {z: 5, w: 2, f: 2, g: 2, k: 3, x: 2}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 8:42 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2960.7681us to minutes.\nAnswer: 0.000049346135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 2:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 880 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*b + 31, 4*u - 10 + 13 = b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003505 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o + 28 = 3*t, -2*o + t + 84 = 0. List the prime factors of (-6)\/2 + o - 2.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 0.7. Let h = 3 - 3.06. Let t = h + -0.34. Which is the nearest to o? (a) 0 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1628, -1482, -1330, -1172, -1008, -838?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 536, 0.12, 2.\nAnswer: -3, 0.12, 2, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**3 + 10160*z**2 - 5083*z**2 - 5070*z**2 + 34*z. Let c(l) = -4*l**3 - 3*l**2 - 17*l. Determine -7*c(w) - 3*k(w).\nAnswer: w**3 + 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 19*j**2 - 82*j + 179. Let d be k(-14). Let i(n) = -31*n + 2. Let m be i(6). Let u = m + d. Does 23 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 2, r: 1, f: 1, m: 2}. What is prob of picking 1 h and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = -7413 + 5434 + 7369 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 + 6*w. Let p(q) = q**2 + q. Let u(h) = o(h) - 6*p(h). Let i(a) = 26*a + 27*a - 82*a + 24*a. What is u(i(c))?\nAnswer: -100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/4 and ((-116)\/114 + 1)*-12?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 520002 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, i: 2, x: 3, w: 3, c: 3}. Give prob of picking 1 w, 1 a, and 2 i.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-26)\/n**(-2))\/(n**11*n*n**(-29)*n*n) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d + 6. Let i be -1 - d\/((-24)\/(-9)). Let r be (-1)\/3 + 11\/6. What is the nearest to i in r, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113202031 (base 4) in base 15?\nAnswer: -c3d90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 7*r - 149. Suppose -2*m**3 - 2*m**4 - 5*m**2 + r + 3*m**4 - 3*m**3 + m**5 + 4*m = 0. What is m?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*v**3 - 218*v**3 + 31*v - 225*v**3 + 471*v**3.\nAnswer: v**3 + 31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 - 2*o + 3. Let i be a(4). Let m = i - 74. Suppose 4*q - 37 = -l, m = -2*q + 5*q + 5*l. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2 - 27737*i - 6898986 = 0.\nAnswer: -27486, -251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982353561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35069473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 + 6*l - 7*l - 28 in the form x*l + i and give i.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 12. What is the smallest common multiple of 16 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 + 5 + 5*m + 343*m**4 - 686*m**4 + 345*m**4 as l*m**4 + s*m**3 + x*m**2 + f + v*m and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340702 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 95.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*h = 2116, -3*y + 3189 = -3*h - 0*h. Let x be ((-5)\/15)\/((-1)\/y). Suppose -x = -5*s - 6. Does 35 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**3\/6 + 2*m**2 + 4. Let c(o) = -2*o - 10. Let y(g) = -c(g) - 10*l(g). Let f(q) = 25*q. What is y(f(t))?\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Let s(l) = l - y*l + 5*l**2 + 2*l + 5 + l**3. Give s(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 55?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8430704 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 18176276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3930 is divided by 240.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 29 = 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/195 + 599\/1365. What is the closest to -0.1 in -0.2, l, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d6 (base 15) to base 13.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/28, -0.06, -0.017, -3 in ascending order.\nAnswer: -3, -0.06, -1\/28, -0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22721\/8 - -2845. Is l < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a**3 - 4*a**4 + 2*a**2 - 63*a**3 + 35*a**3 = 0. What is a?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + (-3*sqrt(2700) - sqrt(27)))\/(sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5*((sqrt(242) - (sqrt(242)*1 + 0)) + 5*(1 + sqrt(242))))**2.\nAnswer: 11000*sqrt(2) + 151650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.544 + 0.544. What is the closest to d in 0, 4\/7, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948450 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3040*s - 3031*s = -3*b - 15, 3 = -5*s - 3*b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417596912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 200882941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = -2*z - 2*i + 1194, -3*z = i - 1349. Calculate the remainder when 2253 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3874880?\nAnswer: 2, 5, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 234 - 97. Let c = f + -86. Let q = 14 + 0. Calculate the remainder when c is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.5 - -43. Which is the closest to -0.1? (a) -4 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 43188748?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30652851 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 12141125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/168*-6*(-6)\/7. Factor 2\/7*g**4 + d*g**2 - 8\/7*g**3 - 8\/7*g + 2\/7.\nAnswer: 2*(g - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbte when four letters picked without replacement from {y: 1, e: 5, o: 2, b: 8, t: 2}.\nAnswer: 7\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -62006, -124009, -186012, -248015, -310018, -372021?\n\"Answer: -62003*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 673 + -351. Let q = j - 321. Solve 4*k - 5 = -q for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 6*r - 4. Let g be m(-5). Let f(c) be the first derivative of c**3\/3 + 5*c**2\/2 + 10*c - 1. Is f(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-398)\/(-14) + (-60)\/(-105). Calculate the greatest common factor of 319 and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(2\/9)*(z**(-4\/9)\/z)\/z assuming z is positive.\nAnswer: z**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p. Let k(x) = 1 - 1 - 164*x - 166*x + 310*x. Determine 3*k(m) + 14*v(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -m - 3, d + 1 = 198*m - 195*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*j + 6*j + 11*j)*(25 + 97 - 44 - 5*j + 70) as o*j**2 + t + q*j and give q.\nAnswer: 4144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418617, -418614, -418609, -418602, -418593?\nAnswer: -418582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3762 by 7.\nAnswer: -3762\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266*k + 4333 - 4333)*(-3*k + 4*k + k) + 2*k**2 - 2*k**2 + 2*k**2 + (-4*k**2 + 2*k**2 + k**2)*(-1 - 3 + 2) + k - k + 2*k**2 + 4*k**2 + k**2 - 4*k**2.\nAnswer: 539*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31598.\nAnswer: 2, 7, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -y + 5*v, -54*y + 15 = -57*y + 3*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/811297?\nAnswer: -2\/811297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1338768.902323 - -7.\nAnswer: 1338775.902323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 - 5*q - 10. Let n be d(-4). Factor -2 + 4*r**2 + 6*r + n - 3*r**2 - 3*r**2.\nAnswer: -2*(r - 4)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, w: 1, d: 1, b: 1, n: 1, x: 1}. What is prob of picking 1 k, 1 d, 1 n, and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*i + 17*i + 2580 = -i for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i + 19. Let c be x(5). Let d(l) = -9*l + 2. Let s(b) be the second derivative of 17*b**3\/6 - 2*b**2 + b. Give c*s(f) - 11*d(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453452439 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 38. Let y(s) = 12*s + 151. Let b(i) = 10*v(i) - 2*y(i). Calculate b(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -383, 4, -4095 in descending order.\nAnswer: 4, -383, -4095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 14*f**2 - 8. Let x(k) = 11*k - 8*k + 5 - 4*k - 17. Let m be x(12). Let i = m + 28. Let c(d) = 5*d**2 - 3. What is i*n(j) - 11*c(j)?\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.444037356 from 1.\nAnswer: 6.444037356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -21. Let r = 15 - d. Suppose r*a - 28 = 3*a. What is the greatest common factor of a and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -151\/3 + 51. Determine w, given that 0 + 2\/3*w - i*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 + 123*n**2 - 123*n**2 + 516 - n**3 - 238.\nAnswer: -n**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 6)*40\/6. Let b(q) = 2*q + 10. Suppose -2*s - 2*a = -s, -s = -4*a. Let x be b(s). Calculate the highest common factor of x and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 15 = -33*m. Let v(x) be the third derivative of -5*x**4\/24 + x**3\/3 - 26*x**2. Calculate v(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*6\/(-6)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/54 + (3 - 7\/(-42)). Solve 0 = 24*w - 27*w + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 317*u + 42. Let o(r) = 316*r + 35. Let v(n) = -4*a(n) + 3*o(n). What is the first derivative of v(p) wrt p?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16\/7 + -25\/14. Let b(n) be the second derivative of -1\/6*n**3 + u*n**2 + 0 - 2*n. Differentiate b(a) wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let y = 3 + i. Let l = 3.05 - y. Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27687933 to the nearest 1000.\nAnswer: 27688000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1779527*l**2*m + 3*l*m + 132521*l - 3*m + 1 wrt l?\nAnswer: -3559054*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 0*d - 3*d + (2 - 2 - 2)*(-1 - 2*d + 1) - 2*d - d + d - 3*d + d + 0*d + 0*d - 8*d + 0*d)*(-3*d + d + d) in the form m*d + q*d**2 + k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -971 (b) -0.5 (c) -15 (d) -1 (e) -49\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -196*x + 201*x + 935. Find the common denominator of 43\/30 and 4 - 2*x\/(-108).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 3*k**4\/4 + 3*k**3 + 549*k**2 - 1. Let g(c) = -c - 1. Determine 15*g(d) + r(d).\nAnswer: 3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + 18. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x**4 - 74*x**3 - 152*x**2 - 104*x = 0 for x.\nAnswer: -13\/6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 - 3*n**2 - 4*n - 3. Suppose -25 - 5 = 10*b. What is g(b)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 2. Let s = 7912 + -7871. What is the remainder when s is divided by v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5256, -5321, -5398, -5493, -5612, -5761?\nAnswer: -5946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144991.\nAnswer: 7, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -377, -338, -295, -248, -197, -142?\n\"Answer: 2*b**2 + 33*b - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6599, 13097, 19595, 26093?\nAnswer: 32591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s + 3. Let b(h) = 14*h + 9. Let o(d) = 44*d + 28. Let z(v) = 16*b(v) - 5*o(v). Let q be 1 + -2*-1*3. Determine q*r(m) - 5*z(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23207 times 1\nAnswer: 23207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/sqrt(147))\/(-4*sqrt(80)) + -2.\nAnswer: -2 - sqrt(5)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 - 60 + 3*u**2 - 5*u**2.\nAnswer: u**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11820 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2463 divided by 1.\nAnswer: -2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2922256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*v - 15*v + 7*v**5 + (3*v**4 + 0*v**4 - v**4)*(v - 2 + 2) + 15*v**5 - 7*v**5 + 8*v**5.\nAnswer: 25*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1655, -3, -2?\nAnswer: 0.1655","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -208, -484, -860, -1330?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m - 39 - 33. What is the remainder when 660\/154 - (0 - m\/(-14)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/8*-2*-12. Suppose d - i = -43, 2*d + 5*i - 169 = 6*d. Let t = a - d. What is the highest common factor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(7) + sqrt(28)\/(sqrt(12)\/sqrt(3)) - (sqrt(7) - sqrt(126)\/sqrt(2))))**2 - (sqrt(56) - sqrt(560)\/sqrt(90))\/(-4*sqrt(8)*2).\nAnswer: 385*sqrt(7)\/12 + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27256750?\nAnswer: 2, 5, 31, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/5)*r)\/r)**(-23)\/(r*r**(2\/5))**(3\/20))**(3\/13) assuming r is positive.\nAnswer: r**(-4203\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/((-198)\/(-55)))\/((-11)\/(5247\/(-5))*3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 - 3*m**2 + 3*m - 2. Let t be s(1). Let i = -26 + 24. Let x be (-2 - 0 - -1)*i. Solve t*z + 15 = x*w, -z - 10 = z + 3*w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.1, 7, -1\/3 in decreasing order.\nAnswer: 7, 0.1, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:55 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let r = -3.4 - -2.9. Which is the nearest to z? (a) -3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/60 + 5*v**4\/8 - 11*v**3 - 10*v**2 + 4*v. Let x be (-4)\/(-10) - (-107)\/(-5). What is the units digit of g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11763?\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 464 = 122*n + 253 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 202*m**3 - 214*m**3 + 139*m**3 + 27*m.\nAnswer: 127*m**3 + 27*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 - 6)*(-3*j**2 - j**2 + 5*j**2 + (-45*j - 162*j + 83*j)*(0 + 0 - 2*j)) in the form o + t*j + g*j**2 and give g.\nAnswer: -1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-u + 2 - 2) + (3 - 2 - 3)*((-2*u + 3*u - 3*u)*(1 - 5 + 3) - 350*u - 199*u + 91*u) + 4*u - 3*u + 0*u + (0 + 3 - 4)*(-u - 3*u + 2*u).\nAnswer: 917*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 21*i - 17*i = -2124, -16 = -4*i. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 4*p + 8 = 0, -2*g = 2*g - 3*p + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-18) + 1262\/4. Suppose -q = -5*q + u. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25488 and 11328?\nAnswer: 101952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1886.956 + 1887. Which is the nearest to -2? (a) w (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-12)\/(-158)) + (-1183)\/1014. Is r bigger than 37\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60398, 60396, 60394, 60392, 60390, 60388?\n\"Answer: -2*o + 60400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuuuwuuu. Give prob of picking 2 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) + 10 + (-696)\/(-84). Solve -n*a - 5 = -77 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(1 + 2 - 15). Let k = 53 + p. Suppose b + 2*w = 32, b - w - k = -6*w. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.22675 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y - f = -13, f = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 441 + -12?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 * 0.0997.\nAnswer: -0.0065802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 7)*(-24)\/36. Suppose -2*n = 4*b - b + 14, -l*b + 5*n = 57. Let y = 14 + b. Solve 0 = 5*i + 25, -3*u - u + 2*i = -y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3372.1 - -3186. Let v = -135 + -62. Let w = v - j. What is w rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/27 - (-10 + 1288\/126). Which is bigger: o or -87\/59?\nAnswer: -87\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695148974?\nAnswer: 2, 13, 59, 453161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 + z**4 + 17*z**3\/6 - 15*z**2\/2 - 2*z. Calculate the remainder when 109 is divided by t(13).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*y - 85554, -n + 2*y = -2*y + 17106. Let m be n\/(-25) + (-6)\/15 - 1. Factor -m - 2839*h + 247*h - 72*h**3 + 381 - 3586 - 3*h**4 - 648*h**2.\nAnswer: -3*(h + 6)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:11 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - ((-8 - 3 - -18) + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 46 = 5*m, -57*j - 694 = -77*m + 72*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*z + 5, 2*y + 0*z - 3*z - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5166 divided by 68394.\nAnswer: -861\/11399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*q - 72542, -r + 2*q - 7297 = -21811. What are the prime factors of r?\nAnswer: 2, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**7\/420 + o**6\/45 + 4*o**3 - 5. Let w(x) be the third derivative of p(x). Let w(y) = 0. What is y?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, u: 4}. What is prob of picking 2 u and 2 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 180682 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.34 + -4.341. Let v = -0.001 - u. Let h = -12 + 16. Which is the third smallest value? (a) 3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 150*w**2 + 111*w - 81. Suppose z + g + g + 17 = 0, 3*g = 5*z + 111. Let d(p) = 15*p**2 + 11*p - 8. Let s(v) = z*d(v) + 2*x(v). Factor s(o).\nAnswer: -3*(o + 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 592118*z - 1184204. Determine w(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - 3*d - 7*d)*(-3*d**3 + d**3 + 0*d**3) + 6*d**4 + 52*d**2 - 52*d**2.\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3*j = 0, -2*j - 10 = 5*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -19589189 to the nearest ten thousand.\nAnswer: -19590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*81808.\nAnswer: 40904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 720 - 719.3. What is the biggest value in 0.4, h, 5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3897, 16243, 36821, 65631, 102673, 147947, 201453?\nAnswer: 263191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*m - 279*m = -230. Let u = 3 - 0. Sort m, u, 5 in ascending order.\nAnswer: u, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*s + 44 = -6*s, 31 = 3*w - s. Calculate the lowest common multiple of 381 and w.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 752*p**3 + 2*p**2 - 2*p + 4. Let t(i) = -2257*i**3 - 7*i**2 + 7*i - 14. Determine 7*s(y) + 2*t(y).\nAnswer: 750*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 12:15 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 1\/(-2)*(-12 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32799, -32807, -32813, -32817?\nAnswer: -32819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 14\/23713645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1325*q + 30265 = -1920*q + 296355 for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4670 - 4669.92212. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 419*w**2 - 5*w - 1. Suppose y + z - 9 = 0, -y + 4*z - 6 = -0*z. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) -6 (c) -50 (d) 5 (e) -1.5 (f) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41461, -41448, -41435, -41422, -41409?\nAnswer: -41396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 650?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/((-13)\/(-26) - 179\/350) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4137049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k + 6. Let v be c(-1). Let z(p) = p**3 + 12*p**2 + 13*p + 4. List the prime factors of z(v).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - m + 0*m)*(0*m - 4*m + 2*m) + m - m + 2*m**2 + m + 6*m**2 - m**2 - 3*m**2.\nAnswer: 6*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:12 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 4:43 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/15, 0.6, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-1\/15))\/h**(-6))\/((h\/h**36)\/h**37))**28 assuming h is positive.\nAnswer: h**(33208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*o = 172*o + 76662. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2480928, -9923768, -22328502, -39695130?\n\"Answer: -2480947*b**2 + b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23520 divided by 157.\nAnswer: -23520\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.8, 2\/3, 2\/41, 0.1.\nAnswer: 2\/41, 0.1, 2\/3, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714553.\nAnswer: 1031, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = 2*n, 4*j + 3*n = 3 + 2. Suppose -25 + j = -4*k. Suppose 3*m - 2*a - 3*a = -11, -4*a = -16. Sort k, m, -4 in increasing order.\nAnswer: -4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Suppose -o - p - 2 = 0, -3*o - 5*p = -8*o + 10. Suppose o = 5*c - w - 3*w - 40, -5*c - 4*w = 0. Give a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 24 = 0, -4*b + 27424 = 15*w - 12*w. Is 143 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**3\/4 - 22*k**2 + 171*k + 1872 = 0.\nAnswer: -6, 16, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-6) - 40\/(-22). Let a be -2 + 2*(2 - 0). Let w be a\/72 - 2\/8. What is the biggest value in p, w, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/40 and -97\/29572.\nAnswer: 295720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 2, k: 11, r: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111\/5 or -0.2?\nAnswer: 111\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 + 9144*b\/13 - 10451592\/13.\nAnswer: -2*(b - 2286)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5629122 or 5629124?\nAnswer: 5629122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 6, 2\/15, 72\/23?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13150 divided by -2630?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -8603355.\nAnswer: -8603349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 5*y + 5. Let h(c) = -c**2 + c + 1. Let z be (13 - 6) + (-1 - -1) - 6. Give z*o(s) - 5*h(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**7\/98 + s**6\/70 - 3*s**5\/35 - s**4\/7 + 8*s + 15. Let d(j) be the first derivative of v(j). Suppose d(q) = 0. What is q?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 110573?\nAnswer: -110575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.006508 rounded to two decimal places?\nAnswer: -163.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbus. Give prob of picking 1 u and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.52 * -1.4.\nAnswer: -49.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edn when three letters picked without replacement from cxend?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-628)\/(-1413))\/(0 - 2\/(-9)). Which is the nearest to 0.1? (a) 4 (b) 0.4335 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0707 * -0.6.\nAnswer: -0.64242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 4*v - 3. Let d(q) = q + 1. Let j be d(-3). Let b be u(j). Solve -5 + b = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*3\/(-2). Let f = -8 - -16. Calculate the lowest common multiple of f and (-2*4)\/(x - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10599.14ml to litres.\nAnswer: 10.59914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa (base 16) to base 2.\nAnswer: 110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 2 + j**2 + 4 + 1. Let o(b) = -3*b**2 - 16*b + 5. Let s be o(-7). Let n be 16\/(-10)*(-75)\/s. Give h(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.962 rounded to one dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 134248148707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16 = k, -5*k = -2*c - 3*c. Suppose j + 2*a + 0 = 2, -44 = -2*j + 4*a. Calculate the smallest common multiple of j and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/11)\/l)*l**(-5\/6))**(-42) assuming l is positive.\nAnswer: l**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056538658 a multiple of 6126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-3)\/95)\/((-1504)\/(-80) - 19))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 0.5 (c) 0.4 (d) -10 (e) -1695 (f) 13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/32 and 57\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -82*q + 12. Let m be j(8). Let f = m + 968. Suppose 0 = -5*y + f - 24. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(729) + sqrt(729) + sqrt(729) + sqrt(729) + (sqrt(729) - 2*sqrt(729))) + sqrt(729))*-3)\/(sqrt(576)\/(sqrt(12) + 1*sqrt(12))*-4))**2.\nAnswer: 107163\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 30*j**2 + 32*j - 2. Let z be o(-16). Sort z, -5, 1 in decreasing order.\nAnswer: 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 3*t + x + 2, -9 = 2*t + 5*x + 9 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9062*t. Let n(m) = -25*m**2. Give l(n(r)).\nAnswer: 226550*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 7:56 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, -5.\nAnswer: -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 33*f**3 + 9*f**2 - 61*f - 9. Let q(b) = -8*b**3 - 2*b**2 + 15*b + 2. Let n(x) = 9*q(x) + 2*u(x). What is the second derivative of n(j) wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 53?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2426769 and 9.\nAnswer: 2426769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -35*h + 3. What is s(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 443*d + 23230. Give r(-61).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 24216?\nAnswer: 1670904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281803 is divided by 4685?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368553 = 2*o - w, -o - w = 309959 + 374313. Is o\/(-909) + 2\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9453 > -9453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 3*m**2\/2 + 4*m + 2. Let l be c(-3). Factor -3*k - k - 2*k**2 - l - 2*k.\nAnswer: -2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*f - 2 - 125, y - 51 = f. What is the remainder when 783 is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - q**3\/6 + 4*q. Is 3 a factor of x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 + 1 - 5*k**2 - 2)*(1069*k - 588*k - 1493*k) in the form y*k**2 + c*k**3 + h + p*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6014?\nAnswer: 2, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 46\/3*d**2 + 152\/3*d + 2\/3*d**3 = 0. What is d?\nAnswer: -19, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2188130384.88955\nAnswer: 2188130385.88955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, 3, -4 in descending order.\nAnswer: 14, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -128872.\nAnswer: 153\/64436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:02 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 55*h**4\/4 + 61*h**2 + 164. What is the second derivative of f(o) wrt o?\nAnswer: 330*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9116\/48 - (-1)\/(-4). Let c = b + -186. Is c >= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:16 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*p - 5)*(14722 + 1544 + 1857 - 4356 + 1733 + 8540).\nAnswer: 48080*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8199 and -19\/21864.\nAnswer: 65592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.1. Let l = 101 - 169. Let x = l + 68.03. Does g = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48955.08 milligrams to tonnes.\nAnswer: 0.00004895508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, p: 4, q: 4, e: 1, u: 1, c: 1}. What is prob of picking 2 p?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5*(72\/20)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 4520?\nAnswer: 13560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 5*w**2 + 5*w - 4. Let u be q(-6). Let r(d) = -d**3 - 8*d**2 - 2*d - 9. Calculate the remainder when r(-9) is divided by -2*((-69)\/u)\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (19 + -4)\/(-2 - -1). Let r be -2 + 2\/(-2)*a. Let g = 32 + 7. What is the greatest common factor of r and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130 - 93) + -7 + -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8524 + 706*m**2 - 2*m**3 - 4263 - 4261 to n + z*m**3 + b*m + q*m**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2242278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/135 - 1964*f**5\/135 - 3925*f**4\/108 - 109*f**3\/3 - 6986*f**2. Factor s(w).\nAnswer: -2*(w + 981)*(2*w + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9400, -4 in increasing order.\nAnswer: -4, -2, 9400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -40, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526\/54441*207*2\/4*(-60)\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 14*y = 2*w - 4996, 0 = -3*y + 15. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12009, -23966, -35895, -47796, -59669, -71514?\nAnswer: -83331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12001201210 (base 3) in base 16?\nAnswer: 1855e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kawkwaaaowwwkw. What is prob of picking 1 k and 1 w?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 7*j + 16. Calculate the smallest common multiple of 72 and s(-7).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153226332 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 1369*u**4 + 1729*u + 3265. What is the first derivative of i(q) wrt q?\nAnswer: 16428*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = -3*k + 2, -5 = -k - u. Suppose 18 - 3 = k*s. Solve 0 = 2*q + 1 - s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -365.85459 to 1 dp.\nAnswer: -365.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 - 14e842?\nAnswer: -14e7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376810 divided by 14?\nAnswer: 26915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345*-2.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 2)*(-23*i + 38*i - 34*i)*(2 - 1 + 1) in the form n + m*i and give m.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.3 + -1. Let q be (-75)\/(-600) + (-1)\/((-24)\/117). Which is the closest to -3\/5? (a) i (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 16765*q**2 - 50160*q - 301500.\nAnswer: -5*(q - 3350)*(q - 6)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80243710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 6:39 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.979 to 0 dps.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196722041 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2227\/2 - -5616\/5. Let d be (-16090)\/(-885) - 3\/2. Let z = -50\/59 + d. Find the common denominator of z and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 u, and 1 y when three letters picked without replacement from gayeutyt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.628139 rounded to 2 decimal places?\nAnswer: 51.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31039 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13216977 - -35747977. Round z to the nearest one hundred thousand.\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 14. Calculate s(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 594*w**2 + 3418*w - 253374. Calculate f(599).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 910588.6 years in decades?\nAnswer: 91058.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p\/(p**(1\/2)\/p))\/p)\/p))**(-2)*p**(-6)*p\/(p*p**4) assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 58.4513475\nAnswer: 55.4513475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212645\/46 - 4622. Let l be 2*(3 + ((-30)\/(-12) - 2)). Find the common denominator of l*24\/(-99) - (-4)\/3 and j.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l + 60. Give b(7).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + 2*z + 2*z - 2*z + 6*z - 3*z + (0*z + z - 2*z)*(5 - 5 - 1))*(-5*z + 3*z + 5*z) to the form m + d*z + n*z**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2116*o + 61*o - 170464 = 14*o - 881*o for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 9*g**2 - 12*g + 1. Let t(z) = -z**3 + 9*z**2 - 13*z + 2. Let f(a) = 6*p(a) - 5*t(a). What is the remainder when f(7) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*g = -9, 21 = 3*l - 8*g + 7*g. Let s be 2 - (7 + l + -6). What is the closest to s in 4, -1\/9, 0, 6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -42, -90, -158?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)*t**(2\/3)\/t*(t\/(t*t*t**(1\/4)*t))\/(t\/(t**(-3)\/t)))**(-3\/8) assuming t is positive.\nAnswer: t**(115\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 33 = -5*f, -51 + 64 = 2*b - f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8570 or 8486?\nAnswer: 8486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 3*m + 7 = 2*i, 32 = 4*i + 3*m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52201 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 31 - (50 - 48))*23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*sqrt(208)*-1 - sqrt(208))**2 + 5 - (3 + sqrt(208) + 0 - (-4 + 1 + sqrt(208)))).\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 3*r - 22. Let i(o) = o**2 - 5*o + 42. Calculate 3*i(y) + 5*m(y).\nAnswer: -2*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-3))\/(6000\/(-3006) + 2). Suppose -4*b - 151 = -3*o, -4*b + f = 30*o - 27*o. Calculate the remainder when 317 is divided by o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + sqrt(2736) + -1 + 1 + sqrt(2736) + sqrt(2736) + -3 + -3 + 0 + 5 + 2*sqrt(2736)*-3)**2.\nAnswer: 48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34084169 divided by 1.\nAnswer: 34084169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**5 - 384*r**4 + 3520*r**3 + 21920*r**2 - 14112*r - 81536 = 0.\nAnswer: -4, -2, 2, 14, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + 238. Let a = f - 161.000067. What is a rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.437924 minutes to microseconds.\nAnswer: 146275440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, -177, -1644, -5101, -11352?\nAnswer: -21201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38969*c**3 + 77312*c**3 + 1 - 38736*c**3.\nAnswer: -393*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) -1\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away 3.367?\nAnswer: -3.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5 + 411*t**4 + 5804*t**3 + 23751*t**2 + 26244*t + 7884 = 0.\nAnswer: -6, -1, -1\/2, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(-12)\/(-20))\/(4\/20). Solve -3*b = 4*r + 10, 3*r - 2*b + 11 = -k*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 - 198079978*n - 19617838842240242 = 0. Calculate n.\nAnswer: -198079978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5*(k**(-2\/9)\/k)\/k*k*k**7*k**(2\/3) assuming k is positive.\nAnswer: k**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 2)*1 - (sqrt(21) - sqrt(42)\/(1*sqrt(2)))\/sqrt(7).\nAnswer: 2 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16417 = -158*k + 7406 + 6197. Calculate the remainder when 2844 is divided by k.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -12, -9*y - 15 = -4*y + 5*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 2}. What is prob of sequence bd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 5*i + 6*i. Let w be q(1). Suppose 4*a - 17 - w = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 8*o + 1. Let h(m) = -1. Let i(v) = 4*h(v) + x(v). Let d be i(-7). What is the common denominator of 58\/9 and 46\/(-5)*(-10)\/d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 18993348*p**4 - 6330612*p**3 - 10552028*p**2 - 2110652*p - 56 = 0.\nAnswer: -1\/3, -14\/527593, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -48, -92, -154, -234, -332, -448?\nAnswer: -582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 35957.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:40 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.445 - 3.8716. Round h to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-15)\/(-24)) + 74\/185. Solve 4*n - 5*g - 22 = -z, 0 = -n + g + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 6. Let f be 4 + -3 - w - 1. Find the second derivative of 0*o**2 + f*o**2 - o**2 + o**2 + 3*o wrt o.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -295 - -298 - ((1 - 1) + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 37*j - 19 = -3*d, 4*j + 17 = d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2010011 (base 4) to base 6.\nAnswer: 103045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(78)\/(sqrt(6)*-1) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 8 - 1. What is the smallest value in a, -0.3, 0.05, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5921 minus 1205381?\nAnswer: -1211302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*s - 60 = 0, 3*c - 7*s = -12*s - 36. Let v = 129 + c. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34629571082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(4*2\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.87 (b) 2989\/26 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -103. Let m be 5\/u + ((-10)\/(-14) - 1). Suppose 5*k + 5 - 55 = 0. Put m, k, 0 in descending order.\nAnswer: k, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1375)\/660)\/(6\/(-8)) and -115\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkkk when four letters picked without replacement from jkkjk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11911571393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1)\/(-2)) + -1 + 70. Solve -67*t = -w*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*o + 9 = 2709. Let k(j) = -j**2 + 20*j + 118. Calculate k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 22087475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y - 16. Suppose 12 = 3*w - 5*w. Let a be b(w). Find the first derivative of 2*z**3 + 18*z**2 + 19*z**a - 37*z**2 + 8 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 5*l**4\/4 + 4*l**3\/3 + 3*l**2\/2 + l + 4411. Calculate z(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2.08, 7.3?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/623 + -14\/89. Let l = -0.8 + 1.8. Let k = l - 0.8. What is the nearest to k in -0.3, 7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = -3*n - n. Let b be (-2056)\/20 + 2*3\/(-30). Let x = n - b. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -0.13 (b) 1 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 3 + 45 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -439 - -959. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -353, -270, 689, 2962, 6987, 13202, 22045?\n\"Answer: 73*x**3 - 428*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40916*w + 842 + 854 - 2542 + 846 to the form c + x*w and give x.\nAnswer: -40916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + n**2 - 3. Let c be j(-2). What is the greatest common divisor of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -13*r**5\/20 + 74*r**3\/3 - 4423*r**2 + 12214*r. What is the derivative of w(u) wrt u?\nAnswer: -39*u**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 47 = -4*a - 5*n, 2*n - 47 = -a. Suppose 4*l - a = -15. Let m(k) = -k**3 + 10*k**2 - 8*k + 3. Is m(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6838658 to the power of 1\/2, to the nearest integer?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/35*329\/141.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 8*p - 10. Let k(l) = 6*l**2 + 7*l + 23. Let x be k(-3). Let o be 464\/x - (-2)\/(-7). Determine t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d - 61*d - 116*d**2 - 111*d**2.\nAnswer: -227*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = h - 4*h + 650, -5*h - o + 1068 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383*h - 73*h + 200*h = -25500 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 146415693 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 4. Let r be y(-4). Suppose r*d = 9*d + 28. Let s = 55 + d. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3150 and 3200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 12*z**2 - 15*z. What is the units digit of q(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 o when three letters picked without replacement from {o: 1, m: 1, f: 2, b: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4888990 and 536?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*q - 1525 = 0, 80 - 1598 = -2*c - 2*q. What is the smallest common multiple of c and 8?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = a - 8, 4*a - 9*r - 10 = -4*r. Solve a = 56*c - 53*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c6 - -13f9?\nAnswer: 16bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*b = 330*b - 164 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 5*d**2 - 2*d + 1. Let k be z(-3). Let i be (-210)\/k*40\/(-3). Suppose 0 = 5*v - v - i. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35.882394 - -0.064606. Let z = q + 0.053. Let p = -0.5 - -1. Which is the third smallest value? (a) p (b) z (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -0.2 (c) -7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 1788*c**3 + 18212*c**2 - 31044*c + 14624 = 0?\nAnswer: -457, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4570 and -3366.3.\nAnswer: 1203.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 155 + 1850. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1, 7\/12, 0, 0.3, 1\/5 in ascending order.\nAnswer: -1, -2\/15, 0, 1\/5, 0.3, 7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12422*w - 40*w**2 + 12422*w)*(w + 3*w - 3*w) - w - w**3 + w.\nAnswer: -41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m = -161*m + 92974. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + (-960)\/400\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/15)\/(-16*(-23)\/920)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**2 - 20*h**2 - 19*h**2 + 10*h**2.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/210 and 107\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-10) - (-71)\/(-355).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469.8 < 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19968938 less than -5?\nAnswer: -19968943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2890349077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -791760*k + 36*k**2 + 0*k**3 + 791735*k - 2*k**4 - k**3 + 1 in the form o*k**3 + l*k + b*k**4 + t*k**2 + p and give l.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20025 - -3?\nAnswer: 20032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u = 29*u - 171. List the prime factors of (-4)\/8*u*4.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 6. Suppose 2*o - l = 30. What is the second derivative of -c - o*c**3 + 15*c**3 + 13*c**3 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/12)\/((-1)\/(-6)). Let a be (-3 - -1)*(-15)\/k. Suppose -3*h = 6 - a. Solve -w = -h*b + 4, 0*b - 3*w - 12 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 12 = -4*m, -28*m + 3*s = -27*m + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Suppose 140 - 1304 = 97*o. Sort t, 4, o in increasing order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**1*k)**(-17)*k**(-10)\/k**(2\/7) assuming k is positive.\nAnswer: k**(-548\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/2*(-32)\/(-6). Let q be (1\/(-2))\/((-6)\/z). Let a(h) = -h**2 - 3*h - 1. What is a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 2\/2 - 4. Suppose -5*d - 12 = -h - 36, -5*h = 5*d. Sort k, -5, d in increasing order.\nAnswer: -5, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = 5*j - 4*v, j - 11 = 2*v. Suppose -25 = -5*s, -10*q + j*s = -11*q + 435. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1\/4 (c) 2 (d) -0.0235 (e) 0.14 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4141219 and 33649?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 0)*2\/(-4)*-2. Let t(j) = 7*j - j + 3*j**o + 5*j**2 - 12*j + 20 + 0*j**3. Does 52 divide t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 130\/570939?\nAnswer: 130\/570939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 313399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*l + o, 89*o + 36 = 4*l + 85*o. Solve -5*d = -2*t + 15, -l*d + 17*d = -2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -141 + 144. Find the third derivative of -11*c**2 - 64*c**k - 27*c**3 + 41*c**2 wrt c.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**3 - 241*b - 245*b + 486*b - 21*b**3 + 6 to k*b**3 + f + o*b + j*b**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29055 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*2\/((-12)\/(-378)). Suppose -19*k - 10 = -t*k. Let b = 0.46 - -0.04. Sort 2\/7, k, b, -0.3 in ascending order.\nAnswer: -0.3, 2\/7, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 16. Does 4 divide (f - 0\/(-4))*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*n + 27 = 0, 6 = 3*k + 4*n - 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 1424 = -489. Calculate the highest common divisor of i and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44522, -89054, -133582, -178106, -222626, -267142?\nAnswer: -311654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1) + 2 + -2. Suppose 0 = -p + 2*k - x*k + 2, -p - 5 = 5*k. What is the second derivative of -2*u**2 + u**2 - 3*u + u + p*u wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (7 - -1) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*s*t**4 + 20*s*t**2 - s - t**4 + 2846 wrt t?\nAnswer: -20*s*t**3 + 40*s*t - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, k: 2, s: 1, u: 4, d: 3, x: 3}. Give prob of picking 1 x, 1 d, and 1 l.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.117 + 0.417. Let m be 1\/4 + (-8)\/32. Sort m, 0.1, v, -1 in decreasing order.\nAnswer: v, 0.1, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b1c (base 16) in base 8?\nAnswer: -15434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -414984*n - 2904875. What is z(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, a: 1, i: 5, w: 7}. What is prob of picking 1 g, 1 a, and 1 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 + 2*u + 4. Let l be y(4). Suppose 4*k + 20 = 4*z, 2*k - 6*k - 55 = 3*z. Let d = 12 + k. Solve d*x - l = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 5*o + 5*o)*(7 + 4*o - 7 + (0 + 0 + 2)*(-4*o + 4*o + 2*o)) + o - o + 2*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -22*n. Let v(c) = c + 1. Let l(b) = b - 1. Let g(p) = -l(p) - v(p). What is q(g(u))?\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 680, -3, 64, 1, 2\/5 in increasing order.\nAnswer: -3, 2\/5, 1, 64, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 6, 3, 2, -11, -4 in descending order.\nAnswer: 6, 3, 2, -4, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 4*x**2 - 10*x + 2. Let n be m(6). Suppose -2*k = -n + 18. Let o be -278 + ((-2)\/k - (5 - 7)). Round o to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 34*b - 265. Let j be s(8). Suppose 0 = -j*o + 30*o - 46. Let x(z) = -z + 2. Give x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*(-2*((sqrt(200) - (sqrt(200) + -1 + -5) - sqrt(200)) + -6*(sqrt(200) + -1)))**2.\nAnswer: -238656 + 40320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360536 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1842\/(-60) + 33)\/((-1)\/(-10) - (-1)\/(-2))\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -19*k**2 - 2*k + 6. Let a(n) be the second derivative of n**4\/12 - n**2\/2 - 29*n - 4. What is 6*a(c) + z(c)?\nAnswer: -13*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/9 + 7*d**3\/9 - 7*d**2\/3 - 3*d.\nAnswer: d*(d - 3)*(d + 1)*(d + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 3:04 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-27 + 19)\/(636\/(-36) - -17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:21 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 19995401*c**2 + 99954025285400*c + 99954005290000.\nAnswer: (c + 1)*(c + 9997700)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Let p = x + 1. Let b(q) = q - 4. Let o(u) be the second derivative of u**3\/6 - 3*u**2\/2 - u. Determine p*o(m) - 4*b(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqv when three letters picked without replacement from iqevkqiqqkih.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -147, -215, -271, -309?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Suppose 4*w - 3*w = a, 14 = -3*c - 4*w. Let v be ((-5)\/7)\/(c\/21). What is the biggest value in 2, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*y + 2 = -30, 0 = -5*s - 5*y - 40. Let g(w) = w**3 - 6*w**2 - 4*w - 9. Let h be g(7). Let n = s + h. Solve -5*a + r = -7, a - r - n = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**2 - 10 - 2*b**2 + 12 - 6*b**3 + b**2 in the form g*b**2 + r*b + u + k*b**3 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50498024 divided by 8.\nAnswer: -6312253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(3\/(-20)). Suppose x + 2*n = z, 4*n = -5*x - n + 30. Suppose x*w - 24 = 4. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24)*2)\/((-204)\/(-18)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/210 + 27*i**5\/10 + 36097*i**4\/84 + 1692*i**3 + 17672*i**2\/7 + 2*i + 111. Find f such that x(f) = 0.\nAnswer: -188, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -4951589.\nAnswer: -4951585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 4, e: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831 - 871 = 5*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 147\/3 + 3. Suppose 485 = c - q. Let l = c + 364. Round l to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -2*q, 0 = -3*i + 7*i - 5*q - 5. Suppose -3*r = -i - 10. Suppose r*u + 2*x = x + 50, 4*x + 30 = 3*u. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*s - 4572 = 114*s. Let x = 516 + s. Calculate the lowest common multiple of 88 and x.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6*o + 3. Let s be t(-3). Let f = 39 - s. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45657 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -198 + -1421a0?\nAnswer: -142388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*q + 4*m + 38, -2*m - 10 = 0. Let w be 15\/1 - ((-14)\/2 - q). Solve -28 + w = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00775246 rounded to 5 dps?\nAnswer: -0.00775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 8:25 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 30*y + 151. Let u be r(-7). Let w be 118\/u + 2\/(-2). Let h = -13 - -7. Is h less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-15)\/9) - 1. Let i be (-1 - j)\/(-1)*-1. Factor 0*g - 1\/2*g**i + 3\/4*g**2 - 1\/4.\nAnswer: -(g - 1)**2*(2*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -19 + 4. Suppose -9 = -0*x - v*x. Suppose -3*s - 9 = 0, -x*s = -3*m - 0*s + 165. What is the highest common divisor of m and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -300\/13, 0, -0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 24, 2*c + 315*m - 601*m + 285*m = -22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l**2 + 3*l + 1. Let r be q(3). Suppose -2*h + r = -108. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 993252?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*i + 36, -5272*i = 6*r - 5275*i + 54 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(40)\/sqrt(5))**2 + -3).\nAnswer: -16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 - -11?\nAnswer: 111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95792363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 3 = c, 3*q - 31 = 5*c. Suppose 0 = 2*i + h - 51, -3*i + q*h + 3*h + 44 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-116903)\/(-3) + (-3)\/(-9). Is o\/88 + 2\/11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66156 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 -0.039 + 16826?\nAnswer: 16825.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -8*r - 16. Let a be c(-7). Suppose -2*d + a - 50 = 0. Let i(l) = -l**3 - 4*l**2 + 4*l - 2. What is i(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*z + 15833 = -15107 for z.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -7*z - 9. Let t(f) = f + 1. Let o(j) = 2*l(j) + 18*t(j). Let r = 300 - 277. Let h(b) = -r*b - 21*b + 64*b - 21*b. What is h(o(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*v**2 - 165*v - 78.\nAnswer: -3*(3*v + 2)*(8*v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -8721.4952 to 0 decimal places.\nAnswer: -8721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6211689244 to the nearest integer?\nAnswer: 78814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 44 in descending order.\nAnswer: 44, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1484 > -1483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88528*i + 20716 wrt i?\nAnswer: -88528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 349\/4 - 5183\/60. Let i be -4 + (-343)\/(-35) - 7. Let p = i + s. Calculate the common denominator of 35\/18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 - 3*w**4)*(5 - 2 + 1 - 1 + 1 + 1 + (2 + 0 - 4)*(-3 + 0 + 4) - 3 + 1 + 1).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -103083, -103361, -103645, -103935, -104231?\n\"Answer: -3*j**2 - 269*j - 102811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244271\/9 + -27141. Let a = -0.6 + 0.9. Let p = -0.2 - a. What is the second smallest value in j, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 - 3100*t**3 - 4*t**2 + 53*t - 479.\nAnswer: 48*t**2 - 18600*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and (0\/2 - 9)*(2\/(-1) - 5).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 186, 175, 164, 153, 142?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142233.\nAnswer: 3, 7, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702457 and 6783.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 339101887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-15)*d)\/d**13*d**(-9\/4)*(d**(1\/15)*d)\/d assuming d is positive.\nAnswer: d**(-1691\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.2 + -8. Let d = -5 - -7. Let l be ((-4)\/14)\/(d - 1). Which is the nearest to -0.1? (a) -2 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19 and 34\/(-7) + 4 + 135\/(-35).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/14 (b) -3\/4 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10*(-5 + 2)*5. Solve t = i - 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 3*n + n)*(-23*n + 3*n - 3*n) + 0 + n**2 + 0 as u*n**2 + b*n + w and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 100204?\nAnswer: 100214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**2 - 1508534*v + 1508536 = 0.\nAnswer: -754268, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 11*c**2 - 9*c - 15. What is p(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 + 8*o. Suppose -2*d + 4 + 6 = 0. Let a(p) = 3*p**2 + p - p + d*p. Let c(h) = -8*a(h) + 5*z(h). Let n(r) = 2*r**2. Give c(n(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4464450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**3 + 2*i**2 - 2*i. Let r(j) = -48*j**3 + 33*j**2 - 33*j. Calculate -33*m(b) + 2*r(b).\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -484*w - 24. Let g(d) = d + 3. Give 8*g(k) + i(k).\nAnswer: -476*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.17*1.2548295\nAnswer: 0.213321015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 502475042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1))\/(4\/(-1)). Solve -10*c + 0*c + 40 = d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2087, -4180, -6295, -8438, -10615, -12832, -15095, -17410?\nAnswer: -19783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 - 6*i. Let v(c) be the third derivative of -c**5\/20 + 5*c**4\/24 - 953*c**2. Suppose 2*q + 0*q + 10 = 0. Calculate q*g(d) - 6*v(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 12*p**2 + 3*p + 9135. Let w(i) = -6*i + 4. Let h(j) = -17*j + 11. Let t(a) = -4*h(a) + 11*w(a). Give y(t(l)).\nAnswer: 48*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from {o: 1, j: 2, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81774 + 81774 - 19*f.\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdcc when four letters picked without replacement from ddoc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 519*y.\nAnswer: 3*y*(y - 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 v when three letters picked without replacement from sshiuvvhivvhvsvu.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-1))\/((-9)\/((-72)\/16)). Is 7 a factor of t\/(72\/1652) + 6\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, 0.1, 0, 0.35, -0.2, -6, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) + 19\/7. Suppose h*i = -2*i + 50. What are the prime factors of (1 - -3)\/(4\/i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-18)*(7 - 1). Let i(z) = -z + m*z + z**2 - z. Let v(f) = -3*f - f + 0*f. Calculate v(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4\/23, -2\/339, 1\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187 - 154 - (2 + 6 + 2)) + -5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 14 = 9*a - 13*a, -3*v = 2*a - 16. Solve a*x + 11*y - 6*y = 20, -4*y - 2 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 258\/(-36) + -8 + (-539)\/(-66). Let h(j) = 9 - 8*j + 0*j - j - 10 - j**2. Determine h(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.085 rounded to 1 dp?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 116 = 8*r - 3*z - 6, 5*r = 50*z - 20 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -13*t**2. Let w(d) = -186*d - 13. Determine w(y(f)).\nAnswer: 2418*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37178 (base 11) in base 6?\nAnswer: 1051234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1255576 and 456.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1425 and 361836.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(385)\/(sqrt(11)*2))\/(-2*sqrt(343)) + (sqrt(135)*-6)\/(2*sqrt(108) + sqrt(3))).\nAnswer: -1551*sqrt(5)\/364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -113142\/19 >= -5956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 1, l: 1, n: 3, w: 2, f: 1}. Give prob of sequence nnl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Express 13546*o - 13546*o + 131 - 630*o**2 - 137 in the form i + d*o + x*o**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (1 - 1))*30. Let c be ((-5)\/(-15))\/(1\/d). What is the highest common factor of 160 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 1. Let y(d) = 7*d**2 - d + 7. Let z(s) = -6*t(s) + y(s). Let f(b) = -3*b**2 + 2*b - 2. Calculate -f(k) - 2*z(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24.01 + -0.01. Let u = -24.0000464 + c. What is u rounded to 6 decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 = -4*d + 5*o, 165 = d + 3*o - 0. What is the greatest common divisor of d and 23079?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5051385927?\nAnswer: 3, 7, 6011, 13339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.135 + 2031.135. Let p = 2031.707 - j. Round p to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 11*q**6\/6 - q**4\/3 + 569*q**2 + q - 36. What is the derivative of t(r) wrt r?\nAnswer: 220*r**3 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -r - o + 106, 0 = -5*r + 5*o + 450. Suppose -6 = -f + 3*z, r = 4*f + 4*z + 22. Let p = -718 - -727. What is the remainder when f is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 25 = r + 4*u, -4*r = -5*u - 49. What is the greatest common divisor of r and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 12 = 28. Let m = n - 8. What is the second derivative of 4*v**2 - 4*v**2 + m*v**2 + 7*v**4 - 3*v wrt v?\nAnswer: 84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 46*i**5 + i**2 - 6192*i**4 - i**3 + 6192*i**4 + (4 - 4 + 2*i)*(i**3 - i**3 + 2*i**4).\nAnswer: 50*i**5 - i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -601*d + 1205*d - 573*d + 64 + 122 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 11*m**3 - 3*m**2 + 5*m + 3. Let g(x) = x**3 - x**2 + x + 1. Give -3*g(i) + q(i).\nAnswer: 8*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 + 5*w + 82. Let g(d) = -8*d**2 + 6*d + 81. Calculate -6*g(i) + 7*n(i).\nAnswer: -i**2 - i + 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 35, 1, 1220, 4, -4, -1 in descending order.\nAnswer: 1220, 35, 4, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/17 (b) 0.2 (c) -236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279322873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2750277*x - 207104 + 22144 - 41546306*x**3 + 4653290*x**4 - 49922920*x**2 - 22994*x**5 - 2515643*x - 115562034*x**3 - 11301*x**5.\nAnswer: -5*(x - 68)**2*(19*x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403720073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*i - 200 = -7*m, 3*i = m - 16. Solve -5*d = 2*h + 226 - 216, 5*d = 4*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 125 and -1630.\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.45499 + 56.49. What is n rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 902*h = 881*h - 27, -3*r + 0*h + 53 - 9 = -4*h for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-1330)\/40)*-14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 1\/2*d**2 - d + 5. Let t(l) = -l. Let j(m) = -6*m + 6. Let q(f) = -j(f) + 2*t(f). Calculate -2*q(s) + 10*w(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 291 + -179. Calculate the remainder when q is divided by 60.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -16. Let u(v) = v**3 + 6*v**2 - v + 6. List the prime factors of u(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -2. Suppose 3 = -2*i + y, -4 = -2*y + 2. Let p = i + 0. Is s <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 2.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -156, -411, -830, -1449, -2304, -3431?\nAnswer: -4866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4177934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3\/4*t**4 - 2 + 0*t**3 + t + 0*t**2. Differentiate x(p) with respect to p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 301130953 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 - -3970.\nAnswer: 3993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Suppose 4*k + 2*j = -0*k - 128, k - j + 29 = 0. Let l = k + 58. Let g(t) = 14*t**2 + 12*t**2 - l*t**2. Calculate c(g(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k. Let p(n) = -52*n. Give z(p(f)).\nAnswer: 52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.7 - -3.2. Put o, 4\/5, -4 in decreasing order.\nAnswer: 4\/5, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148 and 222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -449 or -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2*2\/4)\/(2\/206). Let c = u - -226. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -8)\/(-2 + 128\/24 + 6)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (2 + -2))\/(-1). Suppose m = 6*y - y - 10. Solve y*c + 4*o - 5 - 1 = 0, -3*o - 6 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 760873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2797803 divided by -310867\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.666 + 3.934. What is the third biggest value in -3\/8, -4, 2, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - w + 50, -2*w = -z - 4*w + 19. Solve z*y - 14*y = 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/7641505 + 39789318082\/11821408235. Let q = c + 10\/663. Calculate the common denominator of 23\/102 and q.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/8943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 269132\nAnswer: -269137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 4 - 0\/2. Suppose 165*m - 808 + 478 = 0. Sort 75, q, m in increasing order.\nAnswer: q, m, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w**2 + 2*w)*(-2*w**2 - 8*w + 8*w)*(-19*w - 167*w + 0*w).\nAnswer: -372*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -62, -139, -248?\n\"Answer: -16*z**2 + 3*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90741800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**4\/4 + 3*p**3 + 7*p**2\/2 - 6*p - 3. Let k be f(-8). Solve k*w + 20 = 2*h + 2*h, 0 = -5*w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4290 is divided by 59?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/(0 - 1). Let u = 0.354 + -0.054. Let s = 2 - 1. Which is the third smallest value? (a) s (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + b + 9 = 0, 4*i - 5*b + 186 - 173 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40014 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 1. Let f be h(2). Suppose 7 = x - 3*q, 3*x - f = 5*q - 0*q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184399?\nAnswer: 17, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - -1*sqrt(156))*5)\/(1*(sqrt(12) + sqrt(48)\/sqrt(4))) - ((sqrt(208)*4 - sqrt(208)) + sqrt(208) - (3 + sqrt(13))*-3)**2.\nAnswer: -4774 - 337*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 3, w: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 40 - 136. Suppose -4*g + s + 47 = 0, -g = 3*g + 4*s - z. Calculate the least common multiple of 4 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(2)*4 + sqrt(33)\/sqrt(3) + -5.\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10368 = -36*p + 5*p - 185*p for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 + -208. Let g = s - -356. What is the smallest value in g, -0.3, 0, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25610?\nAnswer: 2, 5, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8229.\nAnswer: 3, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 3727 = 1243. Suppose -2*i + i + 2 = 0. Suppose -8 = -i*r - 5*u, -2*r + u = -3*r + 7. What is the remainder when n is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50415790 divided by -2\nAnswer: 25207895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 50, 0.04, 12 in increasing order.\nAnswer: 0.04, 0.5, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2296593 and 1053.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1377) + sqrt(1377) + (sqrt(1377) - 1*sqrt(1377)))**2.\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 4:08 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 10*j**4 + 1 - 83*j + 76*j wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2114 - -1440. Let o = p + 999. Suppose -y = 4*y - o. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 784*b - 900145\/3.\nAnswer: (b - 2687)*(b + 335)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00161995 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = r - 750. Let m be (9\/2)\/(r\/(-80)). Factor -m*j**4 + 0 - 3*j**3 - 3\/5*j**5 + 0*j - 6\/5*j**2.\nAnswer: -3*j**2*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.039946308 and 219?\nAnswer: 218.960053692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**2 - 10*a - 11*a - 2*a**2 - a**2 as k*a**2 + j*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kokt when four letters picked without replacement from {t: 4, k: 4, f: 3, o: 4}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*d**4 + 5482*d**3 - 20147284*d**2 wrt d?\nAnswer: 3240*d + 32892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 11*b - 11. Let w be (-1)\/(-2*3\/(-54)). Let m be t(w). Let u = 11 + m. Calculate the smallest common multiple of 10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 21 + 10*p + 11*p**2 - 10 + 9*p - 8*p. Let n be r(-8). Suppose -d + n - 41 = 2*i, 3*d = -4*i + 152. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**5\/5 - 9*q**4\/2 - 9*q**3 + 41. Find c, given that i(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (27 - (38 - 22) - (-1 + 19)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*g = 45, 0*i - 4*g - 72 = -4*i. Let n = i + -13. Solve -6 = n*s - 5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + -5*((2 + sqrt(68))*2 + sqrt(68))) + 2 + -1 + 3)**2.\nAnswer: 53280*sqrt(17) + 572704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekqe when four letters picked without replacement from uqkeqe?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10964332?\nAnswer: 2, 2741083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*o**4 - 3*o**2 - 2.\nAnswer: 1248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x - 496. Calculate the remainder when (-1)\/(-4) + 573\/12 is divided by w(-27).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v**12*v)\/v)\/((v*v**(-11))\/v)*(v**3)**50 assuming v is positive.\nAnswer: v**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -94*k**2. Let p(a) = 4*a**2. Give p(v(c)).\nAnswer: 35344*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o - 118 = -318 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28381 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 - 41. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1376358, -1376352, -1376368, -1376418, -1376514, -1376668, -1376892, -1377198?\nAnswer: -1377598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1264d - 5a?\nAnswer: 125f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10567591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137553537 by 11.\nAnswer: -12504867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109196.\nAnswer: 2, 27299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18305052 and 54?\nAnswer: 164745468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + 3 + (sqrt(50) + sqrt(800))\/sqrt(10) - (sqrt(500)*2 + (sqrt(245)*2)**2) - (2*(1 + sqrt(180))*6 + 3).\nAnswer: -992 - 86*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -879*b + 243*b = -450*b + 3512 - 23972 for b.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 53587047570+-110\nAnswer: 53587047460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 201341 at most 201342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 150 = -3*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/44 and -47\/4690356?\nAnswer: 4690356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001020122387 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76489.81kg in micrograms?\nAnswer: 76489810000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 0 + 41313 - 1 - 112\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406 - 4574.\nAnswer: -4980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*2*-4*(-1 + (sqrt(243) - (sqrt(243) + 2)) + -4 + sqrt(243))**2.\nAnswer: -4032*sqrt(3) + 9345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -6\/11, 7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01583 + -0.015. What is a rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/37)*t**13*t)\/(t**25\/(t\/(t**(3\/5)*t))))**30 assuming t is positive.\nAnswer: t**(-11706\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 3 - 3)*(-3*f - 4*f - 5*f)*(3 + 2 - 3)*(3 + f**2 - 3*f**2 - 2) as h*f + a*f**3 + l*f**2 + v + w*f**4 and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 447 - 185 - 136 + r**2 to the form a*r + d + y*r**2 and give d.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/(7\/(-315)). Let w be (-126)\/b*8\/(-7). Let p(q) = 3*q**2 - 2*q + 2. List the prime factors of p(w).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.72028661 take away 110?\nAnswer: -111.72028661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827 = 53*n + 12*n + 6*n - 8*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -15, -4 in decreasing order.\nAnswer: 6, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -245624.312 rounded to the nearest ten?\nAnswer: -245620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5767?\nAnswer: 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2174 and -115\/12.\nAnswer: 13044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196336256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0547 - 293.0547. Let j = -280.48 - f. Round j to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 2*y**2 + 4*y - 3. Let c be m(3). Suppose c = -g + 2. Let n be 1 + 0 + (6 - 1). What is the highest common factor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 11. Let c be r(6). Let m be (2 + 7)*(-2)\/6. Let h be ((-5)\/m)\/c + 0. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 3*a**2 + 13. Let w = 19 - 16. Let k(n) = -5*n**3 + 4*n**2 - 14. Let l(m) = w*k(m) + 4*h(m). What is the first derivative of l(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + h - h + (-11*h - 9*h + 14*h)*(-h**2 - 3*h + 3*h))*(-1 - 2 + 5).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 + 83531105*u\/2 - 6977445502521025\/4 = 0. Calculate u.\nAnswer: 83531105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -480?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 25, 42, 63?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5 + 5 + (-4 + 4 + 2*p)*(5 + 2 + 3) - 19 + 21 + 4*p + 2*p - 2*p - 3 + 3.\nAnswer: 26*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051114213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Let h = -1 + j. Solve -2*k - 2 = 2*u, h*k - 5*u = -34 + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.1 + -0.7. Let f = 3 + z. Let g = f - 0.2. Put -1\/5, -2, g in ascending order.\nAnswer: -2, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1298 - 14*o + 2586 - 1290 + o**2 + 10*o**4 to b*o**3 + q*o + n*o**4 + r*o**2 + v and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 22?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 8*w**3 - 2*w**3 + 18 - 5 + 4*w**2 - w**3. Find the second derivative of s(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(2) - (sqrt(2) + sqrt(2)*-5)))*1 + ((sqrt(54)\/sqrt(3))\/sqrt(9) - sqrt(2) - sqrt(2) - (-6*sqrt(18) + sqrt(2) - sqrt(2))))**2.\nAnswer: 44*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/32490910 and 151\/97472730.\nAnswer: 97472730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 10*s + 3. Let t be y(-5). Suppose -t*a - 420 = 114. What is a rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3525927 bigger than 3525924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -1.4. Let y = -0.04 + -0.46. Let f = 0.6 + y. Which is the closest to f? (a) 5 (b) 0.6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 173 = -5*n - 276, 0 = -n + c - 97. Let u = 98 + n. Is (u - 1)*163\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((158\/(-711))\/((-4)\/(-9)))\/(-1). Which is the nearest to q? (a) 6 (b) 5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 468\/(-56)*28\/(-24). Let v = 265\/28 - d. Which is the closest to v? (a) -2\/11 (b) -0.5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - 0*z + 5*y, 5*y + 20 = 2*z. Let l = -6 + z. Let j be (-44)\/(-20) + (-3 - l). Put 5, j, 3\/4 in increasing order.\nAnswer: j, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -11431?\nAnswer: -11421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(847) + 0 + sqrt(847)).\nAnswer: -44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(-12) - (-9)\/54)*-4. Solve -13*v + t*v = -32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 - 5 + 5)*(-u**2 + 0*u**2 + 0*u**2) - 28*u**4 - 5*u**2 + 31*u**4 + 225*u**4 in the form z*u**3 + j*u**2 + s + v*u + m*u**4 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39\/2*j**3 + 0 + 6*j - 18*j**2 - 9*j**4 + 3\/2*j**5.\nAnswer: 3*j*(j - 2)**2*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - j**3 + (3*j - 3*j + j**2)*(-2 - j + 2) + 326*j**3 - 1414*j - 2 - 56*j**3 + 1412*j.\nAnswer: 268*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 3\/(-1))\/(-1) + -670. Let p = a + 918. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -5, 729, -6 in descending order.\nAnswer: 729, 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -781, -1789, -2797, -3805, -4813?\n\"Answer: -1008*u + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13031 (base 5) to base 14.\nAnswer: -528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 4*o**2 + 5. Suppose -4*w - w + 10 = 0. Suppose -v - 3*f + w = 0, 0 = -0*f + 4*f - 8. Calculate the smallest common multiple of 6 and a(v).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -10*b + 11*b. Let r be 15\/(b\/(-66))*18\/(-4). Let h = r - 27. Calculate the smallest common multiple of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.412757 rounded to 0 decimal places?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*f)\/f**(4\/5)*f*f**(2\/7)*f*f\/(f\/f**(-6)) assuming f is positive.\nAnswer: f**(-334\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in hours?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 19*l = -23280. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -17. Suppose 191 = 4*n - 577. Suppose a - n = -5*a. What is the least common multiple of q and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 + 2*t. Let n(a) = -10*a + 2. Let g = 105 - 104. Calculate g*n(l) + 8*c(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -0*y. Let a = -4 + 6. Suppose -2*o + 20 = a*o. Solve -4*h + o = c - y*c, -5*h + c - 5 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18086237\/38 - -950947\/2. Let b = v - -480. Suppose -2*k + 4 = -2*n, 8*k - 6*k - 4 = 3*n. Is b <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -216173 + -10?\nAnswer: -216203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 45. Let x(a) = -2*a - 1. Let b(s) = -f(s) - 2*x(s). Determine b(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 take away 2327378413?\nAnswer: -2327378390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 - 37 = 5*o, -4*o = 2*y + 40. Let r = o - -6. Let m = r + 4. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/4626 and -19\/9770626.\nAnswer: 87935634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 + -310 + ((-4 - -4) + 4 - (8 + 4))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, b: 4, r: 2}. What is prob of picking 4 b?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**3 + 36*q**4 + 36*q**2 - 36*q**4 + 24*q**4 - 38*q**2 + q**3 in the form k + r*q**3 + j*q**4 + y*q + g*q**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3035.332 millimeters to meters.\nAnswer: 3.035332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6352 and -65\/11116?\nAnswer: 44464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-375)*1\/(-11)*5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25334000 to the nearest one hundred thousand.\nAnswer: 25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12857087 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 v when two letters picked without replacement from qpjdepv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21616 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5184))\/sqrt(12).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, e: 1, u: 3, k: 2, o: 4, g: 1}. Give prob of picking 2 x, 1 k, and 1 o.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6. Suppose 0 = 4*q + 2*y + 2*y - 68, -2*y = -f*q + 14. What is the remainder when 23 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let u(j) = -2420*j + 1284. Determine i(u(s)).\nAnswer: -4840*s + 2568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -1.7. Let v be (2\/8)\/((-5)\/((-30)\/3)). What is the closest to 3\/5 in v, a, 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -20.9955. What is v rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 3. Suppose 5 = -3*k + 29. Suppose v = k - 4. Put i, v, 1 in descending order.\nAnswer: v, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -4 + (0 - 3) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3316625 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.13, -1450, 2, 6 in increasing order.\nAnswer: -1450, 0.13, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 404653 from 20.5.\nAnswer: -404632.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -21) + -20 - (-120 + 110 - (68 - 1))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*u**2 - 15*u**2 - 13*u**2)*(-3*u + 5*u - 4*u) - 1574*u**3 - 1681*u**3 + 3429*u**3 to the form w*u + b + h*u**2 + q*u**3 and give q.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41.8 + 42. Let y = 1 + -1. Which is the nearest to y? (a) -0.5 (b) -5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*x + 18 = -2*j, 4*x = -4*j. Suppose 5*f = -j*t + 61, -6*t - 4*f = -2*t - 92. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 2688\/60)*13\/(195\/25)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 409.\nAnswer: 1\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 2*s - 8. Let n be r(6). Calculate the highest common divisor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 601*o**4 - 8*o**3 + 2*o - 364. Let n(r) = 2*r**4 + 4*r**3 - r - 1. Let i(t) = -2*n(t) - s(t). What is the first derivative of i(j) wrt j?\nAnswer: -2420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**3 - 7*w - 4. Let k(l) = -2*l - 7*l**3 + 9 - 7*l**3 + 16*l + 4*l**2 - 3*l**2. Let c(x) = 2*k(x) + 5*s(x). Let c(t) = 0. What is t?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193897604?\nAnswer: 2, 3, 19, 5236393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*q**4 - 85*q**3 - 17470*q**2 - 56940*q - 48600 = 0. Calculate q.\nAnswer: -6, -2, -81\/49, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.976423 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 - -17b15f5?\nAnswer: 17b161e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16*z)**(7\/2) assuming z is positive.\nAnswer: z**(119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znzzzzfuz. Give prob of sequence zu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19515794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 16 = 8. Suppose 0 = x*f - 13 - 3. Solve -f = z - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -278. Suppose 0 = 4*s - 10*s + h. What is the hundreds digit of (-1*56)\/((-102)\/s + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = 0, 4*p - 3*u = 12. Suppose -5*d = -20, -29 = 3*o - p*d - 8. Suppose 0*f = -2*f + q - 3, -4*q = 2*f + 18. Are f and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 26*u - 4*g - 19137 = 0, -g - 15303 = -4*u. Let b = u + -2266. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -294 by 147.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 118 = -6*v. Calculate the remainder when v is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98*(-62)\/(-48608)*-32.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 3*y**4\/4 + y**3\/3 + y**2\/2 - y + 1. Let g be c(1). Calculate the remainder when 53 is divided by g\/10*(-1 - -46).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/424 and 23\/22?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2496410?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*j = 40 + 120, 0 = 2*j. Suppose 0*h - 76 = 3*z - h, -2*z = h + 59. Let n = z + y. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42590457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -79*l - 1738. Let q be n(-22). Solve q = -3*b + 54 - 42 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-72) + (270\/144)\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (6 - 3)) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74597 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022415 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/11, 2, -6, 7.5, 388 in descending order.\nAnswer: 388, 7.5, 2, -1\/11, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l**2 - 40 + 40)*(791 + 160*l**2 - 791).\nAnswer: -160*l**4 + 320*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 54.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q = -57*q - 8880000. What is q rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434827 is divided by 108630.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1777727 and 2519.\nAnswer: 19554997","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round 29.5040126 to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**6\/120 - b**5\/30 - b**4\/6 - b**3\/3 - 34*b**2. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45707801 at most as big as -45707790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, a: 2, f: 3, n: 1}. What is prob of sequence naa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is 18\/(-8)*(-29)\/((-1479)\/68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -1, -13\/9, 3, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001221 + 2?\nAnswer: -1001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/143, 145, 0?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 252 + 40?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 653, 640, 611, 560, 481, 368?\n\"Answer: -f**3 - 2*f**2 + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p. Let i be (-3)\/(-1) - (-3 - -4). Suppose c - i*c - 5*m = -95, 4*c = -4*m + 316. Calculate the remainder when c is divided by v(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.68 from -21128.\nAnswer: -21126.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 4*sqrt(2) + -2 + 5 + 5 + 3*sqrt(18))**2.\nAnswer: 224*sqrt(2) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c\/c**(-6)*c)\/c)))\/(c*(c\/(c\/(c*c**14*c*c)))\/c*c)*(c\/(c\/c**(-16))*c)\/(c*c*c**(4\/5)))**(-40) assuming c is positive.\nAnswer: c**1112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63196989 + -25960759. Let o be 1\/(-4) - (-113455081)\/4. Suppose k = 4*t - o. Round t to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 + 16 = 0. What is the highest common divisor of a and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*s = 1030*s + 49 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-1764))\/((-1)\/(9\/1))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-100)\/(-48))\/5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89289996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 13. Let g be 9\/m + 2\/11. Suppose -v + 21 = -3*n - 2*n, 3*v - 8 = 4*n. Sort v, -1, g.\nAnswer: v, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159536 is divided by 51011.\nAnswer: 6503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*f - 6*f = 87, -f - 3 = 0. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 9 = h, 30*h + 12 = 31*h - 4*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5689 or 5686?\nAnswer: 5689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 16*s + 10. Let f be c(7). Suppose 15 = -2*k + f. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-21) - 57577\/(-3)?\nAnswer: 3, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:16 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a - 1. Let v(y) = 4*y**3 + 73*y**2 + 5*y + 4. Let j(d) = 4*r(d) + v(d). What is the third derivative of j(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by (-4 + 28\/(-35))*(-10)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 5 - 5)*(-2*u + u + 0*u + (0 - 3 + 5)*(2*u + 0 + 0)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 3)*(2 - 3 - 1)*(-3*u**4 + 3*u**4 + 2*u**4) - 51*u**4 - 1 - 17*u**4 + 30*u**4 to o*u + q*u**2 + j*u**4 + v*u**3 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -11\/2*r**2 + 0 - 5\/4*r**4 - 43*r - 2\/3*r**3. Let y(z) = 4*z**2 + z + 3. Give 6*c(d) + 22*y(d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n = -144. What are the prime factors of n\/20*30\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, s: 1, a: 2}. Give prob of sequence gs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201011212 + 0?\nAnswer: 201011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181674091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f**2. Let t(n) = -73*n**2 + n + 1. Let z(k) = -6*m(k) - t(k). Let x(p) = -5*p**2 - 6*p - 4. Determine -x(y) + 4*z(y).\nAnswer: 9*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 + 0.0488511.\nAnswer: 44.0488511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5010*s = 5012*s - 10019*s - 2*c + 22, 2*s + 2*c + 8 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 151*l + 600. Calculate o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8527 + 5*b**3 - 8527.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -74, 2\/3, -9 in increasing order.\nAnswer: -74, -9, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132*p - 3374*p**3 - 68*p**5 + 3377*p**3 + 35*p - p**2 wrt p?\nAnswer: -4080*p**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 467 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089169 rounded to 3 decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -83.7. Let j = q + 5. Let k = -0.6 + 0.2. Which is the third smallest value? (a) j (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91483 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 + 268*l**2 + 3227*l + 426. Give m(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 + 20 + -83 - 33.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 8. Let l(n) be the third derivative of -n**4\/24 + 4*n**3\/3 - 5*n**2. Let h(c) = -6*l(c) + 5*t(c). Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11 + 4 = d, -5*d = 2*i. Let n(y) = -66*y**2 + y - 1. Let a be n(1). Let q = a - -121. What is the greatest common factor of q and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 12*x**2 + 7*x**3 + 0 + 28*x + 3\/20*x**5 + 7\/4*x**4. Solve v(z) = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163346 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696292.\nAnswer: 2, 13, 32621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v - 37*v + 28*v + 54 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17.4 * 0.1\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621591265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 159 + -144. Suppose -16*r + 13*r + d = 0. Solve -s - 2*t + 2 = s, -5*s + r*t + 25 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 1)\/(9\/33). Sort 4, p, -1, 1 in decreasing order.\nAnswer: p, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - 5*v**2\/2 + 5*v - 4. Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 13*r + 5. Give x(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4935*f**3*p + 6*f*p**3 - 7*p**3 - 433*p**2 wrt f?\nAnswer: 14805*f**2*p + 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -73.00000399. Round o to 7 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.8, -0.3, 566, -46, 2\/3 in decreasing order.\nAnswer: 566, 0.8, 2\/3, 1\/5, -0.3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-551)\/(-12) - 12\/(-144). Let a(j) = -j**3 + 47*j**2 - 41*j + 52. List the prime factors of a(h).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 28*k**2 - 53*k + 49. Let b be w(-33). Let a = b - -54737\/15. What is the common denominator of 121\/174 and a?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**3\/3 - 59*h**2\/2 - 248. Let i(m) = m**2. What is i(q(w))?\nAnswer: w**4 - 118*w**3 + 3481*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away 30451?\nAnswer: -30445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25901 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1550 and -83\/2500.\nAnswer: 77500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3120 + 4190 = -97*k - 1614 for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/889 or 1\/6065?\nAnswer: 2\/889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -189, -284?\nAnswer: -379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*t**3 - 235*t**3 + 114*t**3.\nAnswer: -190*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (49\/2 - 25)*(-8)\/1. Suppose 5 = 2*k - 5. Put k, b, 1\/10 in ascending order.\nAnswer: 1\/10, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 284674*x + 277366.\nAnswer: 284674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 45350, 44890, 44430, 43970, 43510?\n\"Answer: -460*i + 45810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 332443049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 210 = -37*a, -4*a + 795*p - 790*p = 39 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -631 - 0.4\nAnswer: -631.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39252517 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/12 + 17*y**3\/6 + 6*y**2 + y + 19. Calculate m(18).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78)*-1 + sqrt(78) + sqrt(78)))*5)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 - 11*m - 6. Let i be f(-5). Suppose 0 = -3*l + 3*d + 108, l + 4*l + d = i. Which is smaller: l or 36?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.096 - -0.096. Let j be (-1)\/(-3)*(-9)\/(-24). Let z be (-6)\/(-32)*6\/3. Put j, z, f in descending order.\nAnswer: z, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/6)\/v*v)\/((v\/v**(1\/8))\/v) assuming v is positive.\nAnswer: v**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + z - 10 - 5, -2*v - 2*z + 6 = 0. Sort 0, -1, v, 2.\nAnswer: -1, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 - (-18 + 8 - 4). Let a be (0 - -1) + (-2 - -6). Suppose x = 6*x - a. What is the highest common factor of o and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 + -0.8. Let n = 367070.377 - 367073.77700058. Let f = n - y. What is f rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3484573.\nAnswer: 3484573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023168986?\nAnswer: 2, 7, 101, 307, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 894241591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -4 - (4 - 7). Suppose 3*v + n*r + 7 = 4*v, -5*r = -5*v - 5. Let a(x) = -2*x - 3. What is the units digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 311771*x**2 - 80814 wrt x?\nAnswer: 623542*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10111 + -21?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110101001100010100 + 10?\nAnswer: -11100110101001100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 9*z**2 - 3*z - 15. Let b be i(10). Find the first derivative of 1855*c**2 - b*c**2 - 194 + c + 5*c**3 wrt c.\nAnswer: 15*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217801 is divided by 494?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (1\/2*-4 + 8). Let d(a) = a**2 - a. Let y be d(3). Let s be 8\/y*3\/(-2). Let h(b) = -6*b. Let r(q) = 5*q. What is s*h(i) + t*r(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 97.41.\nAnswer: -97.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -1. Calculate the remainder when 18\/(-24)*12*(-2)\/9*71 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227500 divided by -5?\nAnswer: 45500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -12*c**3 - 1938248*c**2 - 3230332*c + 7752912 = 0.\nAnswer: -161519, -3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 - 65.9. Let z = t - 6. Is z at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*c - c - 27, -4*c = -i - 6. Suppose -i - 6 = -3*l. Suppose -9 = l*y - 93. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2 - 8*w - w**2 + 4*w - 2*w. Let s be o(-5). What is the second derivative of 2*b**5 + 0*b + b**5 - s*b wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11038 - 11037.7. What is the nearest to 2\/7 in -1, o, -2.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9635 and 42920.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15747000 rounded to the nearest 100000?\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t + 169 - 447 = -124 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 7 + x**3 - 16*x**2 + 21*x**2 - 10*x**2. Let q be m(5). Solve 6*d - 3*d = 5*z - 9, 3*d - 12 = -q*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 15) in base 16?\nAnswer: 12e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.23 - 2.230206. Round k to five decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574872532 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zroo when four letters picked without replacement from orhohddfozhz?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 412. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1479*s. Let c(i) = 40*i. Let a(b) = -221*c(b) - 6*j(b). What is a(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 18. Give j(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*((2 + 0 - 3)*(-3*p - p + 2*p) + p - 2*p + 0*p - p + 0*p - p - 2 + 2 - p + 70*p - 91*p - 85*p) in the form k + h*p and give h.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32\/9, -0.04, -3?\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 - 12*x + 7. Let n be s(3). Let o = -22 + -6. Let c = o - -32. Sort n, 1, c in decreasing order.\nAnswer: c, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2455, 2 in decreasing order.\nAnswer: 2, -5, -2455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8 - (6 - 2)) + -4. Let m be 2 - 19\/(-1) - t. Find the second derivative of -6*b**2 + 9*b**2 - 13*b - m*b**3 - 3*b**2 wrt b.\nAnswer: -126*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 6944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9771300, -19542608, -29313916, -39085224, -48856532, -58627840?\nAnswer: -68399148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192 divided by 2192.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 3*u + 5*u)*(2*u**2 + 1 - 1) + 604461*u**3 - 304317*u**3 - 303468*u**3 to d + g*u**2 + a*u**3 + p*u and give a.\nAnswer: -3320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1218 or 28006\/23?\nAnswer: 28006\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/7 + 2*o**5\/5 - o**4\/6 - 34*o**3\/63 + 16*o**2\/21 - 8*o\/21 - 26. Solve d(i) = 0 for i.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210349, -420694, -631041, -841390, -1051741, -1262094, -1472449?\nAnswer: -1682806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p - 6. Suppose -5*k + 4*k = 10*k. Determine n(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 2*i + 7*i**2 - 33 - 11*i. Let k be g(14). Suppose 1016 = 4*n - 2*v, -2*n - n = -3*v - k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/42)\/(1\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5 = 2*p, -2*b - 4 = 4*p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*i + 28 = 0, -2*z = -4*z - 5*i + 36. Suppose -2 = -5*x + z. Let t be ((-3)\/x)\/((-1)\/2). Solve -d = -3*k - 2 + 18, t*k - 10 = -5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:35 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*l - 20 = -284*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -7*u**5\/30 + u**4\/24 - u**3\/3 + 111*u**2. Give p(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -3.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.6329 rounded to one dp?\nAnswer: -89.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -4, 5 in descending order.\nAnswer: 14, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 l when four letters picked without replacement from {l: 1, s: 3, m: 1}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -547 (base 10) in base 7?\nAnswer: -1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 9*p + 9. Let y be z(-10). Let j = 30 - 28.1. Let b = j + -3.9. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5952061nm to micrometers.\nAnswer: 0.0005952061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11142 and 74280.\nAnswer: 222840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 4*n - 120249*n**2 + 120218*n**2 - 5*n. Let q(o) = 2*o**2 - 3*o**2 - o**2. What is c(q(a))?\nAnswer: -124*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 861815358, 861815359, 861815360, 861815361, 861815362, 861815363?\n\"Answer: f + 861815357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062003289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*s + 397 + 273 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.02 and -629.\nAnswer: -628.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 1.663?\nAnswer: -0.8315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 0*v)*(-8 - v + 8).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -120*i + 27. Let f(l) = -38*l + 9. Calculate 17*f(d) - 6*z(d).\nAnswer: 74*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.3 (c) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 164*g**2 + 21*g - 1471. Give o(82).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:35 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 > 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 12) to base 4\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23621 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 4, -7 in descending order.\nAnswer: 48, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6982.341 micrograms to tonnes.\nAnswer: 0.000000006982341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 4*r**2 - 2*r - 98. Let u(a) = -2*a**2 + a + 1. Give -2*u(v) - x(v).\nAnswer: 2*v**3 + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/78000 and -89\/24000.\nAnswer: 312000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47637287 divided by 1.\nAnswer: 47637287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 - 7*v + 9. Let u(g) = -3*g**2 + 11*g - 14. Let c(y) = 8*t(y) + 5*u(y). Let i be c(0). What is the derivative of 3*j**3 - 1 - i*j**3 + 2 wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/5 - -6\/5. What is the second smallest value in 0, k, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*-7*8\/(-12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*t = f - 7, 23 = -3*f - 5*t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19375\/13 + 1364141\/910. Let x = -48\/35 + i. Calculate the common denominator of x and -45\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15) - (sqrt(15) + (sqrt(15) - sqrt(735)*-5) - sqrt(15) - sqrt(15))))\/(sqrt(405) + sqrt(405)*2 + sqrt(405) - (sqrt(15) + sqrt(135))\/sqrt(3)).\nAnswer: 17*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**2 + 9*g - 1. Let z = 9 - 12. Let j(n) = -34*n**2 + 28*n - 4. Let a(v) = z*j(v) + 10*o(v). Factor a(x).\nAnswer: -2*(x - 1)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*6\/(-9)*(-874)\/4. What is the third derivative of 554*f**5 - 1098*f**5 + 33*f**2 + k*f**5 wrt f?\nAnswer: -6420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.605 and 9562655.\nAnswer: 9562654.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v - 6*v - 13*v - 6*v - 4258*v**2.\nAnswer: -4258*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 7*z = 2*o - 2*o, -4*o - z = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + i = 13032, 2*f - 104*i = -101*i + 13016. Does 44 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/10, 1.9, 0?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-16) - 27\/(-4). What is the units digit of 6\/(-21) - (-128)\/w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - a - 2 = -22, -682 = 3*d - 116*a + 585 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 5:47 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -57 + -40 + -45 + 176\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31304 is divided by 1111?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2530 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*z - 9*z - 20*z**4 + 21 - 16*z with respect to z.\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/(-36) - 2\/(-9). Suppose -u + 20 = k*l + 2*l, 2*u = 3*l - 26. What is the lowest common multiple of l and ((-99)\/(-15))\/((-1)\/((-70)\/21))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4218801 months to decades.\nAnswer: 0.0035156675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/4 (b) 0.2 (c) 1 (d) -2\/457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1300) + 0))**2 + 5.\nAnswer: 32505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -2326?\nAnswer: 32\/1163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.75 times -1\nAnswer: 2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/477341 - -76855201\/787612650. What is the common denominator of l and 149\/1980?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278170025 to the power of 1\/3, to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 6*t**2 + 10*t - 12. Let k = -2 + 21. Suppose 3*u - k = -1. What is the units digit of p(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75 - 162.662775634.\nAnswer: -87.662775634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*u + 26, -5*o - 3*u - 3 = -25. Let v(l) be the first derivative of -l**2 + 3*l - 9. What is v(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2235552 is divided by 4218.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 86*j**2 - 33*j + 40. Let r(q) = 173*q**2 - 65*q + 84. Let i(d) = 4*r(d) - 7*s(d). What is the units digit of i(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/227 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497801 is divided by 55306?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*a - 11, -2*x - 3*a - 19 = -18. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38626*c = -38623*c + 4*z + 8, -11 = 3*c + z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 5*u - 150 = 0, 5*c - 59350 = 4*u - 59275 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-19)\/21) + (0 - 59262\/(-49)). Is f at most 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 87041883.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11860802, -94886498, -320241962, -759092078, -1482601730, -2561935802, -4068259178?\n\"Answer: -11860814*g**3 + 2*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194594964*h**3 - 194594966*h**3 + 0*h - 6*h**2 + 0*h.\nAnswer: -2*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -755, -3027, -6819, -12131?\n\"Answer: -760*q**2 + 8*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 p when three letters picked without replacement from {s: 3, j: 2, p: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3736\/33 - -1436\/11. Suppose 2 = 2*a - 32. Which is greater: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + 4*6332\/48. Let z = 533 - x. Which is the second biggest value? (a) -3 (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -378*s = 104*s - 10122 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 3, s: 3, q: 9, o: 2}. Give prob of sequence uu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -132 - 4?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9299.141 nanoseconds?\nAnswer: 9.299141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*g + 4 + 4 = 0, 2*l = 3*g - 3. Let o(i) = i**3 + 4*i**2 + 3*i + 3. Calculate the least common multiple of o(l) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 172575*-5\nAnswer: -862875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 242*-96.05\nAnswer: -23244.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1095 and 15.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1135*i + 3267*i - 296558 = -451331 - 443899 for i.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 + 15*k + 7. Let r be (77\/14)\/(1\/(-2)). Is f(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -6*x. Suppose -10*t**2 - 6 + 2*t**2 - 3*t + 3*t**x + 6*t**2 + 8*t**2 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -60 and 2754.\nAnswer: -165240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229991503 divided by 12761.\nAnswer: -18023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5, g: 7}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132105348 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 4*i - 31, 2*y + 5*i + 29 = -1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -20. Suppose 3*v - h = -v. Suppose 0 = -3*m - f + 42, 0 = v*m - 4*m - 4*f + 28. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 96999?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*j - 21, -5*q = -3*j - 12 - 25. Suppose q*v + 10 = 10*v. Suppose r - z = 2*z + 1660, -v*r = -2*z - 8287. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 348 + 326 + 319 + 318 - 1311.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1598 - 1286. What is the remainder when q is divided by 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11083?\nAnswer: 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 0 + 0)*(-7*k - 16*k - 32*k)*(5*k - k - 3*k) to the form m*k**3 + d*k + f*k**2 + n and give m.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x + 2*x + 2*x + 20 - x)*(-253*x + 169 - 169) as h*x + p*x**2 + w and give p.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126246 is divided by 124876?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 51664705 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*y + 17. Let x(w) = -7*w**2 + w + 3. Let f be (-3)\/(-6) + (-9)\/(-2). Let g(a) = 22*a**2 - 4*a - 10. Let c(o) = f*g(o) + y*x(o). Factor c(q).\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-135))\/1*-3. What is the closest to -1 in 3, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91 + 3*n - 162*n**3 - 2*n**2 + 163*n**3 + 2*n**2 - 2*n**2 to the form u*n**2 + t*n**3 + g*n + w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -108 * 5.5153\nAnswer: -595.6524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 117 + 62?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180) + 3 + -2*sqrt(180) + -2)**2 - (-3 + (1*-3*(sqrt(405) - (sqrt(405) + 2 + sqrt(405) + sqrt(405))))**2).\nAnswer: -12992 - 684*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v. Let h(d) = -d**3 - 4*d**2 - 23*d - 1. Give -h(c) - 5*y(c).\nAnswer: c**3 - c**2 + 18*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssu when three letters picked without replacement from {u: 1, s: 18, e: 1}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2311*f**4*m*p + 4323*f**4*p - 56*f**2*m*p - 16478*f*m*p - 2*m*p wrt f.\nAnswer: 55464*f*m*p + 103752*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127\/2 + -6033\/95. Let c = o + 11\/190. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 709819*p - 710839*p - 51000 = 0 for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfqfgqgqqmqghmh. Give prob of sequence hqf.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2253525.31 rounded to the nearest ten thousand?\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -0.046, -3\/8, 1.8, 0.5 in increasing order.\nAnswer: -1, -3\/8, -0.046, 0.5, 1, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -470.831 * 0.3\nAnswer: -141.2493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 432*t**3 - 63*t**2 + 63*t - 63. Let z(n) = 27*n**3 - 4*n**2 + 4*n - 4. Calculate 4*b(h) - 63*z(h).\nAnswer: 27*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 7:04 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**1)**(9\/4))**44)**42 assuming m is positive.\nAnswer: m**4158","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a gram in milligrams?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7*t + 203 = 3*t, -3*t = -4*l + 162. Suppose l = 5*a + v, -3*a + 31 - 11 = 4*v. Calculate the least common multiple of a and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230140456 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 6*x + 2. Let u(w) = 2*w**2 + 5*w + 3. Let s be u(-3). Let z be (-26)\/4 - s\/(-4). Determine g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 507981 = -22*b + 4*b + 508611 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 180019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:31 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1 + -3)*-10. Let d(s) = 530 + s**3 + 8*s - 454 + 0*s**3 - 11*s**2 - 76 + 0*s**3. Determine d(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1624254 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 154 + -141. Let h(g) = -g**3 + 22*g**2 + 10*g + 6. Is h(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3819 and -3758 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-45)\/(-6)) + (-162)\/30. What are the prime factors of 2\/((a - -5) + (-8)\/(-4276))?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o - 12. Let s(i) = -1. Let d(t) = 3*s(t) + x(t). Factor d(b).\nAnswer: (b - 5)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-10))\/((-4)\/10). Let o = -0.017 - 0.983. Which is the closest to f? (a) o (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/((-2)\/(-18)). What is the common denominator of (d + (-27)\/(-2))\/(15\/(-12)) and -99\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*y + 540 = -142*y - 123*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.911 - 238.511. What is i rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -214130 + 11?\nAnswer: -214114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 28244?\nAnswer: 2823e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308189\/95 + -3244. What is the common denominator of 87\/304 and a?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 2*r + 2*r)*(4 - 5 - 3)*((4*r - 3*r - 3*r)*(0 + 0 + 2) - r - r - r).\nAnswer: 112*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4919966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 - (75 - 9 - 57).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g + 16 - 16)*(-13 - 8 + 17) + 0*g - 5*g + 3*g.\nAnswer: 58*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1501 + 4?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -116520 (base 7) in base 14?\nAnswer: -7bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49612?\nAnswer: 2, 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-93)\/(-4))\/(4\/48*-3). Let o = 1745 - 9196\/5. Let q = o - r. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 - 11 + 150*k**3 - k**2 + 20 - 145*k**3 to the form u*k**4 + x + d*k**3 + i*k**2 + b*k and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (5 - (-2 - -2)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by 15\nAnswer: -83\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 3 - 1)*1. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -920 = -5*j + x, 6*j + 5*x = 2*j + 707. What is the remainder when j is divided by -5869 + 5894 - (0 - 3*2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/6*(-8 - -2). Let y be 4\/r + 46\/(-10). Which is the second smallest value? (a) y (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 28 = -5*h - 2*r, -3*h = 3*r + 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(475) + (2*sqrt(475))**2 - (sqrt(19) - sqrt(76)*-4)).\nAnswer: -4*sqrt(19) + 1903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*j, -28 = -4*i - 0*i - 4*j. Put i, 3, 0.1 in decreasing order.\nAnswer: i, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2991 (b) -23 (c) 6 (d) 2\/11 (e) 6\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1324575363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -225 divided by -5\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*y + 100 = 0, 6*b = 2*b - 3*y + 105. Let q be (-1)\/3 + (-20)\/b + 3. What is the second derivative of 3*t**3 + t**3 + 4*t - 3*t**3 + q*t wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*b + 38, 0 = -2*l + 4*b - 69 + 25. Let h be 0\/53 - (l\/(-34) - 1). Put -3\/2, h, -2 in increasing order.\nAnswer: -2, -3\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t + t**4 + (4*t**3 + 3*t**2 - 3*t**2)*(t + 0*t - 6*t).\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 9*u**2 - 12*u - 15. Determine l(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/27 and -65\/621?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 82 - -29) + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {n: 1, a: 2, v: 1, z: 1, x: 1, i: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 20, 32, 48, 68, 92, 120?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 7)\/(6\/4). Let n be 4*-2 + (i - 2). Let f = 11 + n. Solve 0 = f*a - 12 - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + g + 8)*(1 - 4 + 17)*(3 - 2 + 5).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:06 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54659 or 54617?\nAnswer: 54659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 20*y - 17. Let u be w(-21). Solve 6*f = -u*f - 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*o + 16 = 0, o + 3 = -1. Let k(r) = 0 - r**m + 2 - 1. Let y(j) = j**3 + 2*j**2 - j - 2. Give -2*k(b) - y(b).\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000517356 rounded to 5 decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + t**2 + 5358*t**3 - 5580*t**3 + 1 to n*t + z + x*t**3 + g*t**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 557*y**3 - 3*y**2 + 687*y + 6. Let v(b) = 1114*b**3 - 5*b**2 + 1375*b + 10. Let d(c) = -5*r(c) + 3*v(c). What is the second derivative of d(u) wrt u?\nAnswer: 3342*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 199*q**2 - 102*q - 256. Let r(x) = -83*x**2 + 41*x + 102. Let m(i) = -12*r(i) - 5*z(i). Let m(c) = 0. What is c?\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:31 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/342 and 5\/722456.\nAnswer: 6502104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2405 + 56\nAnswer: -2349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 46\/(-10) + 1 + 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 3*a)*(5 - 1 - 2) + 5*a - a - 5*a + (-5*a + 4*a + 0*a)*(2 + 0 - 4).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 2364?\nAnswer: 330960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -336104\/7 and -48014 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -25*g - 119. Let a be r(-5). Suppose 3*b - a = 1230. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120929169 is divided by 6132.\nAnswer: 6129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvg when three letters picked without replacement from ggvgggv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462*k**3*v**3 + k**3*v - 371*k**3 - 2*k*v**3 wrt v?\nAnswer: -2772*k**3*v - 12*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - d**2 + 2*d + 1. Let p be a(-2). What is the greatest common factor of 400 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 - 0) + (1 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 21*j**2 + 18*j - 8. Let l be p(-20). Solve 6*s = -2 + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5481?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 + 22*w**2 + 173*w\/4 + 43\/2.\nAnswer: (w + 1)**2*(w + 86)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 20. Let t = -10 - q. Let a = -7 + t. Calculate the remainder when 14 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2*u**2 + 2*u. Let a be t(3). Let f = 108 + -101. Suppose 300 - 272 = f*n. Sort -1, a, n in decreasing order.\nAnswer: n, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 6. Let t(y) = -5*y**2 + 7 - 2 + 4*y**2. Let j(p) = 5*g(p) + 6*t(p). Factor j(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/61 in -2\/3, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.5, -55\/6, -62, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 + 188 - 292 + 27*b + 182. What is the remainder when q(-8) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 - 4*h - 5. Suppose 5*u = 2*u - 12. Let o be y(u). Calculate the remainder when 2\/o + (-47)\/(-5) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3*p + 18 = 0, 4*p + 16 = -0*p. Let k(b) = -2 + t*b + 2*b + 14*b**2 - 23*b**2 + 10*b**2. Calculate k(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 879356 + -879353.999942. Let q = f + -2. What is q rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -43*w**2 + 24682*w + 214. What is r(574)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1)*y**(-1\/3))\/((y*y*y**(-3\/2)\/y)\/y)**(-6\/35))**(-6\/7))**(-10) assuming y is positive.\nAnswer: y**(-248\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3. Let v(z) = 21*z**3. Calculate -42*u(f) + v(f).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**4 - 3*q**3 + q**2 - q - 1. Let o(c) = 55*c**4 - 260*c**3 - 975*c**2 - 760*c - 10. Let d(k) = -10*h(k) + o(k). Factor d(z).\nAnswer: 5*z*(z - 50)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.96 and 0.334.\nAnswer: 0.32064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2062 is divided by 146.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/8)\/(n\/(n**10\/n)))\/((n\/(n**(5\/6)\/n))\/(n**(-12)*n*n*n)) assuming n is positive.\nAnswer: n**(-55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41892 or -18?\nAnswer: -41892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4*(36\/(-9))\/(-12))\/(3163\/31630)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/8 + (-91)\/(-28). Solve -21 = 5*q - 3*x, 3*x + 0*x - 18 = n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4639*q + 3. Let u(b) = -1542*b - 1. What is 6*j(a) + 17*u(a)?\nAnswer: 1620*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1430254 (base 6) to base 8.\nAnswer: -237532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*k**3 + 37992*k**2 - 243920*k + 91488 = 0 for k.\nAnswer: -1906, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59072 divided by -7384?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q + 6. Let x be o(-8). What is the first derivative of -1 - b - x + 3 wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/6, 7, 1\/333?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6494 divide 724957409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 95201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 5188, -26.8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4242 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**3 + 2 - 351*f**3 + 397*f**3 - 3 - 34*f**3 + 1.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.09, 0, -43?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 443*r**5 - 9*r**4 - 21*r**3 - 9241888*r**2.\nAnswer: 26580*r**2 - 216*r - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2\/2 + 12*l + 126 = 0. What is l?\nAnswer: -6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1796292 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 - 142*i + 24. Let g be l(-12). Solve g = 5*r + 2*v - 31, -v - 19 = -4*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + 10*u**2 + 21*u - 16. Let t be z(13). Let p = 246 + t. Let v(g) = g**3 - 4*g**2 - 4*g + 4. Let q(a) = -a**2 - a + 1. Give p*q(j) + v(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j + 0 + 1\/2*j**2 - 1\/6*j**3. Suppose -2100*w + s = -2104*w + 28, 3*s - 69 = -9*w. Calculate o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(52)\/sqrt(36) - (0 + sqrt(208))))**2.\nAnswer: 22*sqrt(13) + 1654\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101509 + -101508. Let f = 2 - -2. Let u(y) = -f*y - 2 + y + 4*y. Calculate u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**2 - 3*l - 23. Suppose 32 + 36 = -4*r. Let s(a) = a**2 + a + 8. What is r*s(w) - 6*x(w)?\nAnswer: w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 4. Let q = 135 + -131. Calculate l(q).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of 0 + 11\/6*b**3 - 1\/4*b**4 - 2*b**2 + 0*b. What is the tens digit of t(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-33))\/(3*(-1)\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596709256 a multiple of 8698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*s - 653 = 535. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 - r**2)*(5*r**3 - r**3 - 2*r**3) - r**5 - r**5 + 0*r**5 + (-2*r**2 - 1 + 1)*(-1 + r**3 + 1).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036757 is divided by 1285.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -14*j**2 + j - 4. Determine d(3).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -64.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 46*h**2 - 97*h - 50. Let r be m(-48). Let z be r + 22 + ((-20)\/5 - 2). Calculate the highest common divisor of 854 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**6\/30 - 3*b**5\/10 + b**4 - 5*b**3\/3 + 3*b**2\/2 - 4*b - 1. Let f(m) = 0. What is m?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.7 + -11. Put 2\/17, -1, m in decreasing order.\nAnswer: 2\/17, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11470 and 217.\nAnswer: 80290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 18377*y**4 - 3*y**3 + 55129*y**2 + 36754*y = 0 for y.\nAnswer: -1, 0, 2, 18377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -40, -66, -108, -172, -264, -390?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + 39. Calculate the lowest common multiple of 0\/7 - ((1 - -1) + -9) and b.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**2 + 2860*c + 11357. Calculate d(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11045 (base 10) in base 5?\nAnswer: -323140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10055018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564 (base 7) to base 6.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 64\/(-8) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 393.044406639 and 0.96.\nAnswer: 394.004406639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s, -2*m + 2*s + s + 170 = 0. Let h = -57 + m. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112086 divided by 2\nAnswer: 56043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvpppvvvpvpvvvvvp. What is prob of picking 4 p?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -898374, -1797032, -2695690?\n\"Answer: -898658*o + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -612*y**2 - 12167000 + 158700*y - 6*y**3 + 22*y**3 - 78*y**2 + 19*y**3 - 34*y**3 = 0.\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-2)\/12*2. Let x = 1174\/19 + -4753\/76. Let l = 3\/5 + -19\/15. Which is the third biggest value? (a) k (b) x (c) l (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 100090040 to the nearest 10000.\nAnswer: 100090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + 6*(sqrt(187) - (sqrt(187) + sqrt(187)*-2)))*-1)\/(((sqrt(88) + sqrt(88)*-3)*6)\/sqrt(8)))**2.\nAnswer: 2873\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132 by -66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 3, -4612, 5 in descending order.\nAnswer: 5, 3, -2, -9, -4612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95467 is divided by 351.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/73?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbpuwuuppuwuu. What is prob of picking 1 u, 1 p, and 1 w?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1256279 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 26*q**2 - 32*q - 5. Let n be g(-1). Let m(r) be the second derivative of n*r**2 - 12*r + 1 + 1\/3*r**3. Let x(b) = 58*b**2. What is x(m(c))?\nAnswer: 232*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -3*a - 0*g - g - 3, -4*g = -10*a + 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -24, -5, 789, -2\/3, -470?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**2 + 271*x + 50. Calculate f(68).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-24)*-219 - -9)*-24. Solve b*d + 17 = -5*v, -5*v + 22*d = 17*d + 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 4, u: 7}. What is prob of sequence zzz?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47532286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 5:40 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**5 - z**5 + 15*z**5 + 18*z wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from {x: 4, h: 4, r: 2, m: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6634*c**2 - 21008 with respect to c.\nAnswer: 13268*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*h + 10, 5*h + 30 = 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 496183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 51, 12 in increasing order.\nAnswer: 3, 12, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 495*h**2 - 9*h - 8. Let f(u) = 124*u**2 - 2*u - 2. Determine -2*a(w) + 9*f(w).\nAnswer: 126*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*o - 245*o + 13625 = -374*o - 4775 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -1200110?\nAnswer: 1200201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + g. Let w(b) = 7*b**4 - 5*b**3 - 15*b. Let a(q) = -5*r(q) - w(q). Find the second derivative of a(z) wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.173234795 rounded to 4 decimal places?\nAnswer: -0.1732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, 1479, 3903, 8349, 15489, 25995, 40539, 59793?\nAnswer: 84429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1750*y + 15541. What is v(9)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21788 + -21800. Is 61 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 - 10*p**2 - 6*p - 6. Let l(f) = 3*f**3 + 10*f**2 + 5*f + 5. Calculate 5*k(o) + 6*l(o).\nAnswer: -2*o**3 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*m + 3 = 2, 16*m = 16. Sort 1\/4, g, 0.1 in descending order.\nAnswer: 1\/4, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1126 = 13*p - 1682. Suppose 0*b + 2 = 2*t + 2*b, 0 = -t - 5*b - 3. Suppose -t*x = x - p. Calculate the greatest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80) + 0 + sqrt(720) + sqrt(720))*-4)**2 + -2.\nAnswer: 81918","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**13*t)\/t)\/(t\/(t**(-2\/13)*t))*(t**(2\/11)*t)**(-3\/31) assuming t is positive.\nAnswer: t**(-54385\/4433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/32)\/(8\/(-3904)) - (-2 + 1) is divided by 157.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(8624\/(-21))*-92)\/(29\/(-319)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3041 is divided by (14\/(-7))\/(2\/(-13)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*z - 3. Put 4, 0, z in descending order.\nAnswer: 4, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15736 + 51114 = 14*g. What are the prime factors of g?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*l - 2 = 2, 3*i + l - 26 = 0. Let a(p) = 3*p - 16*p**2 - p**3 + i*p**2 + 1 + 4. Is 17 a factor of a(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -79. Let b(z) = 50 + 83*z - 82 - 59*z. Let d(i) = i - 1. Determine m*d(n) - b(n).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 1 + 1)*(2 - 4 - 1) + i**4 + 3 - 3.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from oeooeoeeoooooo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*z**2 + 3 + 3*z + 192*z**2 - 4 - z.\nAnswer: -5*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 152.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 228 and 122532.113?\nAnswer: 122304.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 19913928.\nAnswer: 41819248.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-7)\/(-98) - (-3368)\/(-1680))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*h*s**3 - 7*h*s**2 - 4*h*s - h - s**3 + 2*s**2 + 355*s - 2 wrt s.\nAnswer: -330*h*s - 14*h - 6*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((705\/(-20))\/((-21)\/196))\/(3\/24).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 576*f**4 - f**3 - 70*f + 20?\nAnswer: 6912*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h - 24. Let y(r) = -r**3 + 9*r**2 + 10*r + 8. Let x be y(10). Suppose 0*s - 4*n = -2*s - x, n = 5. Is m(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = z - 184. Solve -4*h - n = -18, 0*h + n = -5*h + z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9133.000005451 + -9133. What is r rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17*r - 19. Let c(k) = 53*k + 55. Let d(w) = 6*c(w) + 17*f(w). Let v be (-9)\/(-6)*(-16)\/(-3). Is d(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3210, -1, -3\/5?\nAnswer: -3210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 17. Let i = -3 - -6. Calculate the remainder when d(12) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45453*l**2 + 2*l**3 + 45453*l**2.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 90*k**2 + 6*k + 168. Let p(f) = 31*f**2 + 2*f + 56. Calculate -6*o(n) + 17*p(n).\nAnswer: -13*n**2 - 2*n - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*a + 16 = -q, 3*a = 4*q + 12. Solve -2*w - 3*m - 1 = 0, 4*w + q*w - 3*m = 25 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312124 (base 5) to base 16\nAnswer: -2831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.9766 to the nearest integer.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n*n*n**(-2\/11))\/n))\/(n\/(n*n**13)*n*n))**(11\/2)*((n*n**7\/n*n)\/(n**(-16)*n))**(-29) assuming n is positive.\nAnswer: n**(-611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 13*o + 21. Give v(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*m + 12370 = 0, 5*m = 87*g - 92*g + 30975. What is the highest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90774\/(-40344))\/(-6 + 0).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 96, 0, -3\/8, -440 in decreasing order.\nAnswer: 96, 0, -3\/8, -2, -3, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:35 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 37*t - 38*t - 5, -5*t - 16 = -w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) -4 (c) 7\/2 (d) -22 (e) 1.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 128*w - 44 = 133*w, -5*j + 2*w + 36 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 256 (b) 1 (c) 102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.09.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -2, 0.1, 4, 1\/34, -5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 15\/(-12))\/(1 - (-21)\/(-14)). What is the closest to 0.213 in 4, 1, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 8*j + 11. What is i(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -583, -585, -587, -589?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -18 (b) 10\/9 (c) 35 (d) -1\/4 (e) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71, 154, 203, 200, 127, -34, -301?\n\"Answer: -3*p**3 + p**2 + 101*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(704) + -6*(1 + sqrt(704) + sqrt(704)))*-1 + (2 + sqrt(1584))*1 + sqrt(1584) + (1 + sqrt(1584))*-2.\nAnswer: 10 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96, 749, 2518, 5961, 11636, 20101, 31914?\n\"Answer: 93*s**3 + 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 43) + (-105 - -149)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 12. Let d be g(19). Let y be d - (259\/(-28) + 2). Factor y*a**3 - 1\/4*a**2 - 1\/2*a + 0.\nAnswer: a*(a - 2)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-188)\/224 - -1)*464\/12 and 121\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/5 + (333\/(-45) - -7). Let o = 7 - 2. Put n, 8, o in ascending order.\nAnswer: n, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**8\/1344 - s**7\/420 + s**5\/120 - s**4\/96 + 2*s**2 + 1. Let l(t) be the second derivative of p(t). Let l(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - 2*-206 - 36\/(-12).\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**3))**(-9)*l*l\/(l\/(l\/(l\/((l\/(l*l\/l**5*l))\/l))))*l*l*l\/(l\/l**(-7\/4)) assuming l is positive.\nAnswer: l**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 8*p + 0*p + 0*p**3 + 0*p**3 - 6 to the form l*p + m*p**3 + g*p**2 + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 22, 0, -0.3, 105, 1\/4?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*z - 52*z + 54*z in the form b*z + o and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35391809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 39, 63, 87, 105?\n\"Answer: -v**3 + 9*v**2 - 2*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343689318 divided by 37611.\nAnswer: 9138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.9 - 6.9. Let g be 2\/10 + (-64)\/120. Which is the biggest value? (a) g (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 384725481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -86 (b) -4 (c) -0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1028.8 + 1029. Are 0.338 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*d*k**3 + 213*d*k*p + 2*d*p - k**3*p wrt k?\nAnswer: 306*d*k - 6*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81452\/45 - -1810. Put 0, 1, 0.4, s in descending order.\nAnswer: 1, 0.4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791330 times -0.57?\nAnswer: -451058.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 = -m, -4*m - 3*y - 67 = -2*y. Suppose -2*r - 12 + 22 = 2*w, 0 = r - 4*w + 20. Suppose 8*t + 32 + 112 = r. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 30*t**2 + 1 - 8 - 5 in the form v + g*t**2 + j*t and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2 and 95\/(-8) - (-9)\/((-63)\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1074 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2976 - -11977\/4. Let p = -1311\/10 - -126. Calculate the common denominator of d and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*(-3 - (-84)\/30). Solve r = -5*m + 2*m + 14, 0 = 3*m + i*r - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4340 (base 6) to base 8.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 1:10 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose k = 5*r - 0*r - 205. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 - y**5 + y**5 + (-3 + 5 - 1)*(y**4 + y**4 - 3*y**4)*(5*y + 4*y - 5*y).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*a + 7 = 146*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m - 113000. What is m rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1020 - 1021. Put t, 4, 30 in decreasing order.\nAnswer: 30, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let n be (-6)\/(-8) - (-143)\/44. Let x(k) = -15*k. Let p(u) = n*x(u) - 55*g(u). Let w(m) = 2*m. Give w(p(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1308*v - 3 + 4 + 1298*v + 0 in the form y*v + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5806*z**3 + 25*z + 1267*z**3 + 2 - 3193*z**3 - 25*z in the form f*z**3 + q*z**2 + b + k*z and give f.\nAnswer: -7732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 284573 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331*t - 324*t = -280. Let g be 2\/(18\/(-15))*16\/t. Factor 2\/3*k**3 + 2\/3 - 2\/3*k**2 - g*k.\nAnswer: 2*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byyy. Give prob of sequence yyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7647 - 0.2353. Which is the nearest to 1\/7? (a) -4\/9 (b) n (c) 0.047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57705, 57709, 57713, 57717?\n\"Answer: 4*w + 57701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and -2067.9.\nAnswer: -2051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than 0.0323?\nAnswer: 0.0823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 15 = -2*v, -11*v + 115892 = 4*o + 115847 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29623194 to the power of 1\/2, to the nearest integer?\nAnswer: 5443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Let n(i) be the third derivative of 2*i**2 + 0*i**c - 1\/840*i**7 + 0*i + 0 + 1\/480*i**6 + 0*i**4 + 0*i**3. Factor n(a).\nAnswer: -a**3*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2 + 179*v - 10. Determine w(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + -8. What are the prime factors of (c\/(-25))\/((-1)\/(-5))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let q be a(-5). What is the greatest common factor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.1, 3\/2, 0.5, 0.429?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 2*j. Suppose 4*v = -4*o - 20, 5*v + 4*o - 4 + 29 = j. Suppose -4*b = 3*a - 73, 0 = a + 366*b - 362*b - 35. Put a, -2, v in decreasing order.\nAnswer: a, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1. Let b(q) be the third derivative of -5*q**4\/24 - q**3\/2 - 625*q**2. What is -b(g) + 2*n(g)?\nAnswer: 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -276*d*m**3 + d*m**2 + 16*d*m - 3*d wrt m?\nAnswer: -1656*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 156 = 4*v - 8*y, -y = -2*v + 84. Let c(q) = -81*q + q**3 + 87*q + 1 + v*q**2 - 49*q**2. What is c(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22*3705\/(-715))\/(6\/2*1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from hhhhhhwhhwh.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -50162.\nAnswer: 5016.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y + 5*w, 4*w - 8 = -2*y - 2*y. Which is the closest to y? (a) 0.02 (b) 73 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s - 15*s - 188. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1 - 7 = 2*d, 3*h = -2*d + 20. Suppose 5708 = 4*m + 4*x - 3*x, -d*x + 4281 = 3*m. What are the prime factors of m?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d. Let y(j) = 1. Let f(s) = y(s) + z(s). Determine f(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/120)\/(-6*6\/(-64)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 1\/2, -1\/2, 4, 11.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 26*u + 131. Let a(t) = -208*t - 1027. Let p(f) = -5*a(f) - 39*r(f). Let b(h) = -5*h - 5. Let v = -6 - -9. What is v*p(w) + 16*b(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 866945218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172593 or 173947?\nAnswer: 172593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 7)*-2*3\/9. Let p(q) be the second derivative of -1\/3*q**3 + 0 + 7\/20*q**5 + 0*q**d + 3*q + 5\/12*q**4. Factor p(y).\nAnswer: y*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 396*b - 13068.\nAnswer: -3*(b - 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12625 and 206545.\nAnswer: 5163625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, e: 3, c: 5, s: 2, l: 1, b: 1}. What is prob of sequence ossl?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-278)\/1668)\/((-2)\/5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/32 and 57\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 divided by 108?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72292212*c**4 - 6387*c**2 + 2639*c wrt c.\nAnswer: -1735013088*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*z**2 - 1\/4 + 13\/4*z - 16*z**4 + 28*z**3.\nAnswer: -(z - 1)*(4*z - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/30 and 157\/306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.002.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1503077457 to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 8*h**2 - 6*h + 46. Let z be f(-5). Calculate the greatest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 551*u + 62809. Determine t(-97).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1637609, -1\/7, 2\/11, 14 in increasing order.\nAnswer: -1\/7, 2\/11, 14, 1637609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*p + 13, 3*p - 3 = 2*f + 2. Let o = 5 - f. Put 4, o, 5 in increasing order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**9\/56 - 47*o**8\/168 - 691*o**5\/20 + 483*o**2 - 4. What is the third derivative of i(g) wrt g?\nAnswer: -1080*g**3 - 5640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74 by -5.\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/130 - 1\/(-13)*54. Solve -2*i + 3*i = -z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 7*b**2 + 10*b + 6. Let p be (-9)\/(45\/(-50)) - 1. Suppose -104 = 22*s - p*s. Give o(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + 135. Let t be o\/12*(-45)\/10. What is t rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-4 + (72 - (-42 + 77)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*r - 36*r - 4062905 = -43*r. What are the prime factors of r?\nAnswer: 5, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucxccxux. What is prob of sequence ux?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1.5. Let r = 95 + -95.6. Let d be 4\/18 + -2*(-111)\/(-270). Which is the closest to r? (a) k (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/105 - (-20)\/7. Let l(q) = 15*q - 3 - 6*q + 4*q**2 - 2*q - 5*q. Calculate l(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17910 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2. Let q(h) = -1391*h**2 + 106. Give q(s(c)).\nAnswer: -50076*c**4 + 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1494.737+-2003\nAnswer: -508.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -875 divided by -5.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*(sqrt(170) + -1*sqrt(170) - sqrt(170))*1)\/(-2*(sqrt(250) + 6*(sqrt(250) - (sqrt(250) + -1*sqrt(250) + sqrt(250))) - sqrt(250) - sqrt(250))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**13)**(4\/9)*(g**(-3\/5)\/g*g*g*g)**(-19) assuming g is positive.\nAnswer: g**(-917\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13029 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -5, 298, 367, -6.\nAnswer: -6, -5, 3, 4, 298, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 4. Let a be m(4). Let r be a\/6 - 6\/18. Does 20 divide ((-12)\/(-10))\/(r\/50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-408)\/(-1989)*9\/6\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 + 19*b**2 - 11*b + 20. Let m be w(9). Solve d = -m*y - 5 + 2, 10 = -5*y - 2*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -102*q**3 + 5*q**2 - 31*q - 115. Let x(w) = 143*w**3 - 7*w**2 + 47*w + 173. What is 7*v(o) + 5*x(o)?\nAnswer: o**3 + 18*o + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*r**2 - 120*r**2 + 64*r**2 + 2*r + r**3 to the form z*r**2 + g*r**3 + k*r + c and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15117*t - 104. Let a(u) = -5039*u + 39. Give -8*a(r) - 3*h(r).\nAnswer: -5039*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -b**5\/20 - 7*b**4\/4 - 7*b**3\/2 - 9*b**2 + 413*b. Determine m(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39 and 314555605.5.\nAnswer: 314555566.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 2 m when four letters picked without replacement from {i: 1, v: 6, e: 2, l: 2, m: 5, z: 3}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (651\/392)\/(6\/21) and -79\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4, 18 in ascending order.\nAnswer: -2, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/34*(-2)\/(8\/3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -766 - -390. Let o = q - -659. What are the prime factors of o?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let q(f) = -5*f - 7. Let h(p) = -10*p - 4. Let x(y) = 2*h(y) - 5*q(y). Give x(i(z)).\nAnswer: 10*z + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 7. Let a = m + -19. Let g = 26035 + -26035. Is g <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/8, 10, -4, -3\/17?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49 and -0.43.\nAnswer: 48.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4285, -4273, -4259, -4243?\nAnswer: -4225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.186041898.\nAnswer: 0.0558125694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19116 is divided by 1535?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 1 - 0 - -5 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -103402 (base 5) to base 7\nAnswer: -13334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-18) + (-1312)\/(-9) - 4 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 272914135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s - 4. Let a(u) = 7*u - 4. Let f(c) = c**2 + 2*c + 22. Let n be f(-4). Suppose 5*x + n = 11*x. What is x*q(h) - 4*a(h)?\nAnswer: 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(4*r + r - 2*r)*(4*r**2 - 4*r**2 - 13*r**2 + 5) to v + j*r**2 + o*r**3 + s*r and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92901 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2 + 2*j + 35. Let f(h) = -9*h**2 - 3*h - 70. Determine -2*f(s) - 5*o(s).\nAnswer: -2*s**2 - 4*s - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2503 - -5?\nAnswer: -2454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -304 (c) 2\/7 (d) -18\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*a + 18. Suppose -o + 2 = -5. Put o, a, -5 in decreasing order.\nAnswer: o, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136 and 70244.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 + 4.5. Are 0 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 times 95420?\nAnswer: -36450440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-39)\/390 + 411\/10 + 9\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 442*m**3*q**3 + 294*m**3*q*v - 14*m**2*q**2*v - 2*m**2*q*v - m**2*v + m*q**3*v + 2*q**3*v - 1561*q*v wrt m?\nAnswer: 2652*q**3 + 1764*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.15 + 2.85. What is the second biggest value in 31, 1\/2, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*t - 22*t + 3 - 27*t.\nAnswer: 7*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -26, 0 in decreasing order.\nAnswer: 1, 0, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 x when four letters picked without replacement from xixxiixxxi.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/5)\/((-2)\/(-4))*5\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24548990 is divided by 8145.\nAnswer: 8105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + 6\/3 - -1. Put -4, v, -8 in increasing order.\nAnswer: v, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6012 - 6012.00004807. Round m to six decimal places.\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2021 in -3, 4, -6.2, -0.1, 3\/8?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p - p)*(1 + 4 - 1)*(-2*p**2 + p**2 + 4*p**2) - 4*p**4 + 3*p**2 - 3*p**2 + (2*p**2 - 3*p**2 + 2*p**2)*(-p + p + p**2).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(-12))\/((-1)\/(-4)). Let x(w) = -i + 3*w**3 - 4*w**3 + 5*w**2 - 1 - 2*w. What is the units digit of x(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101734669.\nAnswer: 101734669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*p - p - 5 = 0, 5*p = -4*h + 35. Suppose -i = -22 - h. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 + 4230*g**2 + 279828*g - 5155920.\nAnswer: 2*(g - 15)*(g + 84)*(g + 2046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*y**4 - 4*y**3 + 1387*y**2 - 559632*y wrt y.\nAnswer: 84*y**2 - 24*y + 2774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d. Let p(f) = 2*f + 34. Let r be p(-16). Let t be (-2 - -1)*(0 + -4 + r). Let c(u) = 5 - 9 + 4 + t*u. What is c(b(i))?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/126 and -97\/12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((530\/150)\/((-2)\/6))\/((-31)\/(-155))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*n**4 - 5024*n**3 - 512644*n**2 wrt n.\nAnswer: 1536*n - 30144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/(3\/15*8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 2*g - 468. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313304147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -251, -314, -355, -386, -419?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and -6959 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 133 - 124 - (3 - (1 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-11 - (-11 + 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*u - 7045 = -8504 - 24617 for u.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**4 - 52*v**4 + 25*v**4)*(147*v - 75*v + 75*v).\nAnswer: -5439*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -0.24 (c) -5 (d) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 4*f - 5. Let t be i(-6). Calculate the highest common divisor of 49 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 16*f**2 - 30*f + 450. What is q(16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-40) + 5719\/(-3268))\/(3\/75)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2)\/(0 + 3). Suppose 2*b = -a + 4. Let u(i) = 2*i**3 - 2*i**2 - 2*i. What is the units digit of u(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -8*v - 28 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6073626 days to seconds.\nAnswer: 52476.12864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 45\/16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17613\/20 + 882. Let a = 1624\/3 + -6647\/12. What is the common denominator of t and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*l = 18 + 124, -2*l = -p + 34. Let b be p*(1\/(-2) - -1). Suppose -32*y + 18*y + 56 = 0. Solve y*j + b = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*a - 42 = 0, -4*a = 502034*x - 502037*x - 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = -38*b - 39 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 298*i + 919. Let p be c(-3). Let a be 2\/2 - (-26 + -2). Let l = a - p. Solve -v - 7 = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/42*((-159)\/106)\/(18\/(-8))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 8*k**2 + 2*k - 3. Let h be z(6). Suppose 5*m - 5*n - 195 + 20 = 0, -3*m - 3*n + h = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2637846 divided by 114?\nAnswer: -23139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -565, -841?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35865.425142815 - -0.3.\nAnswer: -35865.125142815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.02008 - 0.5298.\nAnswer: 10.49028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/1018, -0.026, 5, 2, 3?\nAnswer: 3\/1018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*l*o**2*t + 6*l*o**2 - l*o - 21018*l*t + 14*o**2 + 1 wrt t?\nAnswer: -2*l*o**2 - 21018*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*u - 8*j + 475988, 0 = -3*u + 3*j - 713991. Round u to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108 - -6)*26\/39*13\/13?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 238? (a) 4 (b) -12\/37 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 284 * -4199\nAnswer: -1192516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-100)*(-2)\/3*-1\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.389062591 to 3 decimal places.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2717.171 litres to millilitres.\nAnswer: 2717171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33785*i*z**3 + 24*i*z - 308*z wrt z?\nAnswer: -202710*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -10*a + 4*h + 40, -19086*h = -3*a - 19089*h - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*c**6*w + c**4*w**3 - 2*c**2*w**3 + 11*c*w**3 - 2*c*w**2 wrt c?\nAnswer: -4320*c**3*w + 24*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v. Let z(c) = 6*c**2 + 24*c - 69. Determine o(z(m)).\nAnswer: 6*m**2 + 24*m - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 - 5*t + 59. What is the remainder when 84 is divided by p(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 17 + -9 - 20.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3740, -2\/9, -1\/11, 8\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(1\/(-34)). What is the greatest common factor of 85 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/64 - 9*2\/(-4). Suppose -2*z - 20 = 4*r - 9*r, -r = -d*z - 4. Sort z, -8, 3 in decreasing order.\nAnswer: 3, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 + 7*d + 2. Suppose -8 = 2*n, n = w + 2*w - 28. Let v be f(w). Let y = 13 + v. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6*b - 6172. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 57*n - 10517. Calculate j(-135).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-28)*(-21)\/18?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/56*(-72)\/(-60)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (0 - 0) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -31.4. Let b = k - 2.6. What is the third smallest value in 0, b, 2\/69?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-70) + (-216)\/20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21743 rounded to 3 decimal places?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, j: 8, n: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4554, -4462, -4298, -4056, -3730, -3314?\n\"Answer: v**3 + 30*v**2 - 5*v - 4580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4915, 9864, 14813, 19762, 24711?\n\"Answer: 4949*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 973. Suppose -5*g = n - 235, 2*g = -3*n + 7*g + o. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12481.2589994 + -12468.259. Let c = 13 - q. Round c to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501415 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.89988 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 52 = -17. Let k(j) = j**2 - 8*j + 8. Let a = -9 - -16. What is the smallest common multiple of k(i) and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -218 (b) 5 (c) 1\/12 (d) -1\/445 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*q + 235 = 0, 4*q = -3*x + 77 + 159. Calculate the highest common divisor of x and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**5\/5 + 23*f**4\/4 - f**3 - 67*f**2\/2 + 46*f + 4274. Factor a(y).\nAnswer: (y - 1)**2*(y + 2)*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.525118 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 251, 1, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17354 is divided by 1024?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzddddzzdd. What is prob of sequence dd?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - -15. Suppose -3*z = -p + 22. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**2 - 2*f**3 + 0*f**2 + (-4*f + 1 - 1)*(3*f**2 + 3*f**2 - 25*f**2) in the form j*f + z + t*f**2 + a*f**3 and give a.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -24. Suppose l = -3*h + 570 + 207. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from notttytyttntsw. What is prob of sequence sw?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -60*p**3 - 2*p**2 - p. Is n(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36800 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/(-4) - 1)*96\/18. Let d = 139 - m. List the prime factors of d.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996692 divided by 268.\nAnswer: 3719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b + 77707*b**2 + 11*b - 30*b + 7*b - 77687*b**2.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 4, u: 1, d: 6, r: 3, g: 2}. Give prob of picking 1 g and 3 p.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let k(r) = 13552*r**2 - r + 4. Calculate k(o(b)).\nAnswer: 13552*b**2 + b + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78 - 235\/3. Which is bigger: z or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -491 - -497. Let b be l\/(-1) + (11 - (0 + 3)). Solve 0*m = -m + b, 4*m - 5 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36780 divided by 10?\nAnswer: 3678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3631 (base 12) in base 4?\nAnswer: 1133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62899860.\nAnswer: 2, 3, 5, 89, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-24)\/(-36))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -8. Let o(u) = 2*u + 0*u + y*u - u. Suppose -80 = 72*j - 32*j. Let s(p) = 6*p - 1. Give j*s(a) + 10*o(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 = 6475\/892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.31 and 4945.\nAnswer: -31202.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-534)\/8*(-24)\/9. Suppose 6*f - n = 692. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by (24\/9)\/(2\/9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/87 and ((-1716)\/(-216) - -8) + -12?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/852 and -25\/13561?\nAnswer: 162732","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 550500*i + 550497.\nAnswer: 3*(i + 1)*(i + 183499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1501, 340, 2181, 4022?\nAnswer: 5863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -4847\/245 + 940\/49. Which is smaller: b or 116\/41?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + 14a255?\nAnswer: 14a280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t + 6. Let d(p) be the first derivative of -212*p**3\/3 + 1665. Calculate c(d(n)).\nAnswer: 1696*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -10*t + 4*t. Suppose 2*v + 179 = 5*b, 5*v + 10 + 0 = t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a\/a**(-1))*a)\/a)\/a*a**(-5)*a**(-1\/34)*a**(-3\/19))**17 assuming a is positive.\nAnswer: a**(-3997\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 10, 0, -1, -0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, 27\/4, 4\/29, 10, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1))**(-7)\/(d**(-2\/9)\/d**(1\/3))*d**(-1\/6)\/(d*d**3*d*d)*d\/((d\/d**(-1))\/d)*d**7 assuming d is positive.\nAnswer: d**(-101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2642.736 from -0.5.\nAnswer: -2643.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4) + -7 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(6\/11)*l**11 assuming l is positive.\nAnswer: l**(127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - 74. Let l = a + 77. Round l to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (-76 - -58 - (1 - 15)) - 106?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*i - 3*v + v, -2*v = -3*i. Suppose 19*p + 21 = 12*p. Let k = p - i. Which is smaller: 3\/2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f. Let i(n) = 9*n. Let l(o) = 2*i(o) - 3*m(o). Let b be l(-4). Suppose j - 4*p = -b, p + 59 = -3*j - 0*p. Round j to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 5:13 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4622669 + 4622669 - 3*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101, -170, -239, -308, -377?\n\"Answer: -69*o - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 293, 545, 799?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 21*i + 102 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 16708*a - 509. List the prime factors of u(4).\nAnswer: 29, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2574 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/4)*f)**(-6\/5)\/(f\/((f**(-2)*f)\/f*f))**(2\/25) assuming f is positive.\nAnswer: f**(-143\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(27450\/1700)*9?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122202 + 20121201?\nAnswer: 11221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4468284737 to the power of 1\/2, to the nearest integer?\nAnswer: 66845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**5 + 182*d**3 - 2791*d?\nAnswer: -100*d**3 + 1092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623228 is divided by 761.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 + 336402*n**2 + 9430525467*n = 0.\nAnswer: -56067, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0 - 2. Let j(g) = -2*g**2 - 10*g**3 - 2 + 1 - 2 - 2*g + 2. What are the prime factors of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-525)\/(-1400)*(-2)\/39 - (-3)\/12?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + ((-2 - -1) + -1 - (-24 + 21)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9041*p = -9158*p - 6201 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 36 - 48 = 0. Let s be (2\/4)\/(b\/(-20)). Solve 4*k + k - s = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*i - 975 = -112*i + 246*i for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/8 and -73\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 42 - 9*t - t + 10*t - 10*t + t**2. Suppose 0 = 4*d + 5*p - 59, 0 = 3*d + p - 50 + 14. What is the remainder when n(7) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 29181*s - 845526. What is n(29)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 24 - 540 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - v**2 + 0*v**2 + (0*v - 4*v + 5*v)*(8 - 35*v + 65*v - 28*v).\nAnswer: 4*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.5 minus 61.8576?\nAnswer: -148.3576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/7 + 36*v**2 + 2208*v\/7 + 4544\/7 = 0.\nAnswer: -4, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/((-60)\/(-25))*(1 - 3). Which is the closest to n? (a) -4 (b) -2\/5 (c) 0 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -267 (b) 30 (c) -2\/15 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 0.46. Which is the nearest to 2\/5? (a) 1\/4 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -57592, -57410, -57228, -57046?\n\"Answer: 182*x - 57774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 690886 and 154?\nAnswer: 7599746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -221\/18 - -61\/9. Find the common denominator of y and 11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 894061959 and 2589?\nAnswer: 2589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14484033\/164 + 88317. Let x = -1\/41 - t. What is the fourth smallest value in -4, x, -1, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89867843 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) -3 (c) -1\/11 (d) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10237 divided by 4640?\nAnswer: 353\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 382*o\/3 - 376.\nAnswer: -2*(o + 3)*(o + 188)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 14*h + 15. What is g(-20)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 4*h**3 - 2*h**2.\nAnswer: -2*h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -99, -163, -269, -417, -607, -839?\n\"Answer: -21*n**2 - n - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0895 * -7\nAnswer: 0.6265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470232 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673046 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 75*a**2. Let x(s) be the first derivative of 17*s**2\/2 + 196. What is v(x(w))?\nAnswer: 21675*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52556\/33 + -364592\/231. Factor 19\/7*t**4 - 1\/7*t**5 - m*t + 4 - 79\/7*t**3 + 19*t**2.\nAnswer: -(t - 14)*(t - 2)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 761040 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y - 155. Let s(j) = 3*j - 51. Give 4*h(c) - 11*s(c).\nAnswer: -c - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28194014921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Let i be (12\/(-14))\/(2\/l). Is i <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, a: 2, z: 5, t: 3, v: 3}. Give prob of sequence zaa.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 18006 divided by 1983\nAnswer: 6002\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 265, 3, 5, 1, -273.\nAnswer: -273, 1, 3, 5, 265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2186 is divided by 129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w - 2. Let o(h) = 4*h + 3. Let g(p) = -5*a(p) - 3*o(p). Let j(q) = 3*q**2 - 4*q**2 + 1 - q**3 + 3. Let u be j(0). What is g(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197182 is divided by 119.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102100 + -12?\nAnswer: -102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:22 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q)\/q**(-5)*q**(-6)\/q**(-5) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -175 divided by 602627\nAnswer: -175\/602627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359749974?\nAnswer: 2, 3, 197, 304357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u + 22. Let p(c) = -370*c**2 + c. Calculate k(p(h)).\nAnswer: -1480*h**2 + 4*h + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**5 - 1390*y**4 - 14335*y**3 - 19020*y**2 + 86580*y - 51840 = 0. Calculate y.\nAnswer: -6, 1, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -20. Solve 5*c + k = -f, -3*c - 25 = 2*c - 5*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387498 + 526?\nAnswer: -386972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20535440 (base 9) in base 5?\nAnswer: -10012303441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2. Let a(m) = 23*m**2 - 138*m + 138. Let g = 31 + -23. Let v(w) = 1 + g*w + 3*w - 12*w. Let l(h) = a(h) - 138*v(h). Determine l(k(r)).\nAnswer: 23*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avgshavagsgghwv. What is prob of sequence ghaa?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1424008.200021 - 1424009. Let a = v - -0.8. Round a to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ycoocxjoxcooi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h + 3. Let k be r(-5). Suppose k*t = 215 + 292. Suppose y = 5*y + 3*g - t, -3*y - g = -123. What is the highest common divisor of 16 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062459 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4288905 by 7485.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - q + 2*q)*(9*q**3 + 3*q**3 - 2*q**3)*(-3 - 1 + 6) to the form n*q**2 + c*q + y + d*q**4 + z*q**3 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.51705 to 0 dps.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -174, -163, -128, -57, 62, 241, 492?\n\"Answer: 2*z**3 - 3*z - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1 + -3 + 2 - (sqrt(1088)*1 - (sqrt(833) + -2*sqrt(833))).\nAnswer: -14*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g + 12. Let b be a(5). Suppose -p + 22 = -b*f - 23, 4*f + 184 = 4*p. Suppose -y - 13 = -p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 1:12 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13\/108 + 5125\/108. Let m = 48 - u. Let g = 2 - 1. Which is the nearest to m? (a) g (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558 + 1381 + 2578 = 133*p for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2220344 (base 5) to base 9\nAnswer: -58255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0 - n**2 + 2 + 0*n**2 - n + 2*n**2. Let v be q(2). Suppose -4*b - v*y = -8, -b + 4*y + 4 + 18 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-7)*g**3*g*(g**(2\/9)\/g)**(3\/4) assuming g is positive.\nAnswer: g**(137\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1323336 and 109\/56?\nAnswer: 1323336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = n - 75923, 6*x - 5*n = 9*x - 45567. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 20*p**2 - 10*p + 12. What are the prime factors of r(19)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*l - 2, 2*l = 2*f + 452 - 448 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2 - 576*b - 5660 = 0.\nAnswer: -566, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 0.93. Let i = 1.3 + t. Which is the second smallest value? (a) 0 (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 28. Suppose -6 = -5*f + m*u, f + 2*u - 8 = -2*f. Let x(a) = f*a**2 + 2*a**2 - 2*a**2. Let l(d) = 5*d. What is x(l(v))?\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, i: 2, q: 1, n: 1}. Give prob of sequence nceq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is af48 (base 16) in base 5?\nAnswer: 2413442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -200.202. Let k = s - 0.098. Let o(g) = g**2 - g + 4. Let i be o(0). Which is the nearest to -1? (a) i (b) -2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:45 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**4 - 111*q**3 - 120*q**2 + 228*q = 0.\nAnswer: -2, 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 22*i - 15. Let a be q(10). Suppose a*w + g + 22 = 0, -w + 0*w - 6 = g. What is the remainder when w\/(-8)*8 + 1 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 210, 178, 144, 114, 94, 90?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5272800 and 2880.\nAnswer: 31636800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdtdttub. Give prob of picking 2 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -13*u**7\/210 + 7*u**4\/6 + 27*u**2. Find the second derivative of z(s) wrt s.\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 3*h**2 + 98*h + 1. Give m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*g**2 - 2376353 + 2376334 + 100*g**2.\nAnswer: -g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -477 (base 13) to base 5\nAnswer: -11044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9875334cm in meters?\nAnswer: 0.009875334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6478 and 2624.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooms. What is prob of picking 2 o and 1 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 455 - 2?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3239 + 32419\/10. Calculate the common denominator of a and 74\/123.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3710 and -43\/14931.\nAnswer: 7913430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5145 times -1183?\nAnswer: 6086535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2067 - 1595. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**5\/20 + 5*g**4\/12 - g**3\/6 - g**2 - g - 29. Calculate l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/15 + 56*o**3\/5 + 4616*o**2\/15 + 15232*o\/5 + 147968\/15.\nAnswer: 2*(o + 8)**2*(o + 34)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v + b - 4891, v - 4881 = -3*b. Is v a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.155101 millilitres to litres.\nAnswer: 0.000155101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*z, 5*c + 3*z = -0*z + 35. Let p(i) be the first derivative of 2\/21*i**3 + 0*i**2 - 1\/14*i**c + 0*i + 1. Find d, given that p(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 8\/6)\/((-19)\/342). Let q(u) = -5*u**3 - 9*u**2 + 6. Let j(v) = 6*v**3 + 10*v**2 - 7. What is i*j(t) + 7*q(t)?\nAnswer: t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 t when three letters picked without replacement from {z: 5, t: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**5\/36 - 17*k**4\/72 + k**3\/3 + 80*k**2 + 5*k - 6. Let c(w) be the first derivative of s(w). What is x in c(x) = 0?\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -274*h**3 + 323?\nAnswer: -822*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-619)\/(-129990)*(-210)\/(-18).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-1650))\/(30\/(-90))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from zbbbbbbbbzb?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 7. Suppose k = -4*a - 3, -7*k + 3*a = -3*k - 26. Let u = 0 - -3. Solve -u*p = k*y - p + s, -y = -4*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97350060?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614739 is divided by 2846.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 0*z**3 - z**3 - 4*z**3 + 11*z - 11*z + (-4 + 2 + 0)*(2 + 2*z**3 - 2) to the form r*z**2 + x + d*z**3 + n*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*d + y = -76, 3*d + y - 236 = 0. Calculate the highest common divisor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 115, 231, 381?\n\"Answer: 17*j**2 + 31*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*p - 3*x + 219, 0 = -5*p + 3*x + 336. Suppose 5*h - p = -24. Calculate the remainder when 33 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 51. Let j(b) = 2*b**2 + b. Give -j(x) - y(x).\nAnswer: -2*x**2 - 2*x - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - n - 2*n - 48 = 0, -160 = 3*u + 5*n. Let l be 125\/2*3216\/u. Let m = l - -33527\/10. What is the common denominator of 43\/4 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/350*(-495)\/(-132).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 475 = 6*z. Let x(q) = -q**3 + 11*q**2 + 22*q - 148. Let m be x(11). Are m and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:33 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 + 30)*(-4 + 2*m + 4)*(-22 + 0 - 20)*(4 + 2 + m - 4).\nAnswer: -3696*m**2 - 7392*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/8 and 29\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 3*o**2 + 3*o - 1. Let g be t(-2). Suppose 0 = -h - 5*n - 31, 2*h - n + 3 = -4. Let b be (-8)\/10*15\/h. Solve -p - g = -b*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 10*l**2 + 10*l - 1. Determine d(6).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 times 13?\nAnswer: 24089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17363\/4 + 4341. Put -5, 0.5, -0.1, -7, z in descending order.\nAnswer: 0.5, z, -0.1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 - 5 = 0. Suppose -x*l + 30 = -36. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 8, r: 5}. Give prob of sequence tg.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 701 divided by 67911.\nAnswer: 701\/67911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30469?\nAnswer: 30469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -8*m + 18. Suppose 6 = 3*a - 4*d - 11, m*a + 2*d = 23. Calculate the remainder when 20 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*z + 3*z - 36*z + 2*z as k*z + x and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, p: 1, d: 1, h: 3}. What is prob of sequence dphh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*s + 1, -7 = k + 3*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 564*c**5 - 125415*c**3 + 82505965*c wrt c.\nAnswer: 11280*c**3 - 752490*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(-6) - (-1)\/(-6). Let c be 117\/(-72)*10*q. Let o = c - -32. What is the closest to -0.1 in 3\/2, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r - 5. Let q = 8 + -4. Let n be (6\/q)\/((-3)\/8). Determine g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18769115179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) -0.1 (c) -8\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 765, 977, 1189?\n\"Answer: 212*s + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 406*w**4 - 23*w**3 - 2*w**2 - 73917*w?\nAnswer: 9744*w - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153)*-1 + -1 + sqrt(153) + 3)**2 + ((-5 + (sqrt(153) - (sqrt(153) + 1)) - (0 + sqrt(153) + 3))*4)**2.\nAnswer: 864*sqrt(17) + 3747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = -3*i - 2, -10 = -5*v - 4*i. What are the prime factors of (305\/(-15))\/((-2)\/v)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*j + 23 = 4*c, -j + 3 = 4*c. Let w = 5 - -3. Solve c*l = w - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496650024 to the power of 1\/2, to the nearest integer?\nAnswer: 38687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*c + 4 = 0. Suppose 4*r = 5*x + 138, -x + 40 = r - 5*x. Let m be 520\/(-39)*(2 - r\/10). Solve -c = 4*f - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 33. Let i = 27.19 + 0.81. Let j = i + o. Sort -5, 1, j in decreasing order.\nAnswer: j, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*b - 15*b + 7*b + 2*b**3 in the form s*b**3 + j*b**2 + z + y*b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.091 and -332922.\nAnswer: -30295.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 139104 divided by 1449\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 13*w = 1012. Let y = w + 431. Suppose 7*q - 437 + y = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*p + 30, -3*p + 37 + 3 = -5*h. Put -1, h, -18 in increasing order.\nAnswer: -18, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 11:02 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1617 and 330?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*r**3 + 132*r**3 - 356*r**3 - 792*r**3.\nAnswer: -1550*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 32 = -3*t, 0 = 3*t - 8 + 5. Let c = 5 + -2. Suppose 60 = 5*w + 5*m, -c*w + 2*m + 3*m + 68 = 0. What is the remainder when p is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1344 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azzw when four letters picked without replacement from {w: 4, a: 1, z: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 34*q - 5844 + 5848 = 0, -2*v = 3*q + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1974*s - 63086. Calculate d(-32).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 + 181 - 23*d**2 - 422 as r*d**2 + a*d + h and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - t)*(2 - 2 + 1) - 38*t + 102*t + 32*t - 3*t + 2*t + 2*t - t - 4*t + 4*t.\nAnswer: 95*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -16*o - 55. Let w be (-3 - 7\/(-2))*-54. Let y = o - w. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + 0)\/(-2) - (6 + -9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 31. Let l be f\/4 - (-4)\/16. Let j be ((-10)\/1)\/((-2)\/8). Solve 5*i - l*u = j, -5*u - 4 - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191152461 + 191152467.00000132. Let z = -6 + m. Round z to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 8*p - 15. Let v(m) = 15*m + 29. Let u(t) = 11*g(t) + 6*v(t). Let f(c) = 5*c**2 + c + 4. Determine 13*f(o) - 6*u(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2345867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from cjccj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/169951?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275\/2*u + 39 + 7\/2*u**2 = 0. Calculate u.\nAnswer: 2\/7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 7*y + 7*y - 3*y - 2. Let z(b) = -b + 1. Let p be z(7). Let n be (-3)\/2*(-8)\/p. What is x(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -62. Let o = 1821309 - 1821218.0089. Let j = q - o. Round j to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(4\/(-27))*112. Suppose -2*f + 3*d + 30 = -473, b = 3*f - 5*d. Suppose f = 4*i - 461. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -395\/12 or -33?\nAnswer: -395\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 204.5 + -205. Which is the third smallest value? (a) -5 (b) n (c) 2\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3 + 3 + f - 1 - 1. Let s be v(-3). Is (-5)\/(s\/(-4)*2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 22*z**3 - 3*z.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/4 - 2*f**3 + f**2 - 10*f + 5. Let u be h(-7). Suppose -5*q + u = -0. Solve -2*k - q = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 423*y + 112942. What is x(-267)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m + 2. Let t be w(-2). Let y = -3 - t. Let n be ((-4)\/y + 2)*3. Sort 0.5, n, 0.1 in decreasing order.\nAnswer: n, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2472*c + 2477*c - 86 = 0, 121 = 4*u + 13*c for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 837395930 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693400 is divided by 612?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-12 - -16))*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -4, -48, 0.5, 8, 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*v + 163*v + 577 = -583. Let u = 35 + -35.3. What is the fourth biggest value in -1, 9, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1937 + 1968. Suppose l + 5 = 0, -5*l - 480 = -3*w - 2*l. Calculate the highest common factor of w and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4425.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 461 - 456. Let -1\/3*u**4 - 1\/6*u**b + 2\/3*u**2 - 1\/3 - 1\/6*u + 1\/3*u**3 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 43*h**2 - 576*h - 4655. Calculate n(19).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98677438?\nAnswer: 2, 49338719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - 2*k**2 + 2*k + 1. Let d = -18 - -35. Let p = -15 + d. What is the remainder when 83 is divided by i(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -368, 0 in ascending order.\nAnswer: -368, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 5*l)*(4 - 3 - 3)*(2873 - 2742*l + 2744*l - 10*l**2 + 9*l**2).\nAnswer: 6*l**3 - 12*l**2 - 17238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.041, -1\/7, 5, 2, -266 in descending order.\nAnswer: 5, 2, 0.041, -1\/7, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 15*c - 19*c)*(0 - 3 + 1) in the form p + s*c and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q - 22. Let d be s(-6). Suppose -2*j + 3*m + 1382 = 0, -d*j - j - 3*m + 2103 = 0. What are the prime factors of j?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + -32 - (-303)\/27) + 4\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10523?\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 230\/49777?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85863577 and 53824?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3\/3 + 4*u - 8\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5. Let u(a) = -a - 14. Suppose -9 + 2 = n. Determine n*t(k) + 2*u(k).\nAnswer: -2*k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -11, 9, 49, 115, 213, 349?\n\"Answer: h**3 + h**2 - 4*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. Let i be 1*(-2 + (-28)\/(-12)). Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 264 + 247 = j, -4*j = -2*h + 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10103 (base 4) in base 11?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 15*w**3 + 9*w**2 - 7. Let n(d) = -8*d**3 - 5*d**2 + 4. Suppose 4*m - 2*m - 12*m - 70 = 0. Calculate m*n(f) - 4*a(f).\nAnswer: -4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2 + 2*n + 5 + 2 + 1. Let c(q) be the first derivative of -2*q - 2. Let r(z) = 6*c(z) + 2*d(z). Let a(k) = k. Determine r(a(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a - 15\/2 + 1\/8*a**4 + a**3 + 11\/8*a**2 = 0?\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6*84\/(-8). Let u(i) = 7*i - 23. Let m be u(x). What is the tens digit of (-1)\/(-6) + (-3372)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5794.\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24317\/3864 + -1\/644. What is the common denominator of f and 97\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 6958*t + 111583. Give p(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39036, 77963, 116890, 155817, 194744?\nAnswer: 233671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(98) + -4.\nAnswer: -3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.6 take away 1426048?\nAnswer: -1425846.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/13 + 0 + -1. Suppose 4*i + 71*r - 4 = 69*r, -22 = 5*i - 2*r. Sort -3\/7, i, u, -0.2.\nAnswer: i, -3\/7, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 15*f - 32. Let l(h) = -33*h + 66. Calculate 2*l(c) + 5*t(c).\nAnswer: 9*c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*356.\nAnswer: -35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 take away 22059688?\nAnswer: -22059685.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/(-88))\/(40\/(-320))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 10*y - 33. Is i(7) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g*n**2*r*y - 74*g*n**2*r - 46*g*r*y**3 + 3*g*r*y**2 - 18*n**2*y**3 + n**2*y**2 + 6*n*y - 4*r*y**3 + 2*y**2 wrt y?\nAnswer: -276*g*r - 108*n**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14370 divided by 3?\nAnswer: -4790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 (base 8) in base 15?\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8384 + -4927. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 10*u = j, 3*u + 14 = 4*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7279, 1496, 10271, 19046, 27821?\nAnswer: 36596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -2\/1505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7063824 and 3084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 1. Let t = h - 4.6. Which is the third smallest value? (a) 0.1 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 4 + (sqrt(162) + 0 + 2)**2 + sqrt(162) + (sqrt(162) + -1)**2*6.\nAnswer: -63*sqrt(2) + 1155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24\/7 in -72, -1\/4, -1, 18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.768 - -155.388. Let i = -0.38 - w. Let k = i - -149.77. Round k to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 45*f - 14. Let a be 4\/(-70)*(-6 - -5). Is a at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1276?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p. Let r(j) = 41*j**2 - 82*j. Let n(w) = -w**2 + 9*w - 9. Let t be n(8). Let b(c) = t*r(c) + 82*l(c). Let q(z) = -z**2. What is q(b(m))?\nAnswer: -1681*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 7 - 5) + -16.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310290, -310208, -310126?\nAnswer: -310044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114\/2 - (7 + -5) is divided by 6\/(-4)*(-190)\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.1409kg to grams.\nAnswer: 83140.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (-2 + sqrt(605) + -2 - 2*(sqrt(605) + -1 - sqrt(605)))**2*5 + -4.\nAnswer: -220*sqrt(5) + 3041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 8*m. Let q be n(8). Suppose 0*c - 3*c = 15, -3*w = -2*c - 79. Let s = w - q. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 1 + 1, -2*y - 77*n - 2 = -81*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (23 + -27 + (-1 - 3) + 10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4349859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 17*l = 10. Solve -4*s = 2*x - 4, x - l*s = 2*s - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**7\/35 + 5*k**4\/24 + 4*k**2. What is the second derivative of m(c) wrt c?\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 10, a: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120995.\nAnswer: 5, 7, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/((sqrt(80)\/sqrt(2) + sqrt(40))\/sqrt(4))*4.\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-13))\/(f*((f*f**3)\/f)\/f*f*f)*(f\/f**(-3))\/(f\/(f**(2\/3)*f)))**(-3\/8))**(-23\/5) assuming f is positive.\nAnswer: f**(943\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -8. Suppose 4*d + r - 10 = x*r, d - 10 = 4*r. Solve d*q - 6*h + 17 = -3*h, 9 = 3*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p + 120. Is w(9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101726.\nAnswer: 2, 19, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 5*v**2 - 10*v**2)*(380*v + 15*v**2 - 380*v + 3) - v**4 + 5*v**4 - v**4.\nAnswer: -102*v**4 - 21*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34. Suppose r*k + 5*w - 167 = 0, 0 = -3*k - 4*w + 68 + 58. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {o: 3, e: 1, z: 2, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20951697 and -272406.\nAnswer: 20679291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -273, -277, -283, -291?\n\"Answer: -k**2 - k - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1505 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + -7 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 8, -8*o - 2*t - 16 = -10*o. Suppose 4*y = 3*r + 4796, o*r = -3*y + y + 2398. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -1.9569783018.\nAnswer: -6.9569783018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s = -22. Let n = -9 + s. Let w be n\/15*(-10 - -5). Put 1, 3, w in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 5*x + 14731 = -1627*h + 1407*h, 0 = -2*h - x - 137 for h.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122370 is divided by 53059.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2156) - sqrt(2156)*-2)*3)\/(sqrt(40)\/((sqrt(100)*2)\/sqrt(10))).\nAnswer: -756*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -725195 divided by 5.\nAnswer: -145039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3541?\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:57 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(-3 - -9). Suppose 7*g = q*g + 6212. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 39874, 79744, 119614, 159484, 199354?\n\"Answer: 39870*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-5*6 + (sqrt(65) - 5*sqrt(65)*1))\/(sqrt(5)*4*1*6*-5).\nAnswer: 17*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 15, o: 2}. What is prob of picking 1 u and 1 o?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*h - 2160 = 0, x + 2*h = -0*h - 543. Let j = x - -4874\/9. Let v = j - -1\/9. What is the smallest value in -0.4, 6\/7, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/8))**(-26)*(p*p\/p**(-1\/3)*p)**(2\/65) assuming p is positive.\nAnswer: p**(1537\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18*w - 76. Let p(a) = 16*a - 75. What is -3*f(d) + 4*p(d)?\nAnswer: 10*d - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -10. Let t(p) = 3*p - 2*p - 3 + 0. What is the remainder when 2 is divided by t(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.040351892.\nAnswer: 0.040351892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/(-3) + 5\/15. Suppose -4*o + 4*b + 12 = 0, 3*o + 4*b + 2 - 4 = 0. Solve -o*s + 5 = g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-40) - 76\/10. What is the units digit of 2\/(y\/3) + (-104293)\/(-188)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/33*129\/(-215).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 46 (b) 6 (c) 0.2 (d) 2\/9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 5*r**4 + 2*r**2 - 5*r - 1 - 2*r to the form y + l*r + k*r**4 + q*r**3 + d*r**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - 414*h**2 - 8*h + 422. Calculate n(69).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + ((-7 - (3 + -13)) + -11 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.776999 kilograms in tonnes?\nAnswer: 0.008776999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44915 - -2?\nAnswer: 44917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 1:23 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*v + 8*v + 140. Let p be v\/(-3 - 4) + 1. Solve -3*j + 6 = p, t = -4*t - 2*j + 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 6:30 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**4. Let a(t) = 79*t**4 - 56. Let r(l) = -2*l + 65. Let f be r(33). Let n(q) = f*a(q) + d(q). What is the derivative of n(c) wrt c?\nAnswer: -312*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.1*26.\nAnswer: -1302.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24200, 24654, 25122, 25604, 26100, 26610, 27134?\nAnswer: 27672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010312665844 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -3258774.6.\nAnswer: 3258771.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (13 - -7)) + 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**2 - 25*y**2 + 26 - 56*y**2.\nAnswer: -107*y**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -37*r + 13. Let l be f(-2). What is the greatest common divisor of l and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/209, 2, 0.1, 2\/7.\nAnswer: -2\/209, 0, 0.1, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a. Let b(u) = -1 - 3*u - 2 - 2 + 5. Calculate f(b(o)).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -50*i + 2. Let m be a(4). Let c = -203 - m. Sort c, -3, -2, 3.\nAnswer: c, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3 + 2*b**2 - 11*b - 12 = 0?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g**2 - 3 + 3)*(-3 - 2 + 10) to l + d*g + s*g**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**3 - 62*v**2 + 5404*v + 11040 = 0.\nAnswer: -69, -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*t + 22*t = -230 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 11:38 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 184 = -178. Suppose -5*u - 3*j = 0, 27 = b*u - 3*j + 6. Let -2\/11*g**4 + 2\/11*g**5 - 4\/11*g**2 + 10\/11*g - 12\/11*g**u + 6\/11 = 0. What is g?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**3 + b**2 - b + 1. Let n be q(1). Let d = n - 16. Sort d, -5, 5 in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 1. Suppose 2*k + 12 = 4*k. Let d(y) = -12*y**3 + 2*y**2 - 6. Let b(h) = k*i(h) - d(h). Suppose b(o) = 0. Calculate o.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**5\/30 - 1014*d**2. Let z(i) = i + 423. Give l(z(k)).\nAnswer: -2*k**2 - 1692*k - 357858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/4*(90\/40)\/9*-7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 15 + 0 = 3*l, 7 = -2*l - 5*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600*i**6 - 4*i**5 - i**3 + 269*i**2 - 7*i?\nAnswer: 72000*i**3 - 240*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-341514)\/(-40))\/(-1 + 4). Let p = l + -2845. Find the common denominator of (-4)\/(-6) + (-255)\/(-198) and p.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 7:57 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/2 + 21*c**2\/2 + 10*c.\nAnswer: -c*(c - 5)*(c + 1)*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2\/9, -1\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2679 divided by -2679\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)*-4)\/(sqrt(10)\/sqrt(2)*6 - sqrt(5)))**2.\nAnswer: 768\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1339 - -1339.000006227. What is i rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 + 81577*k**2 + 11071*k - 227 wrt k.\nAnswer: -12*k + 163154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 23. Let h be r(-3). Solve 2*k - 15 = 5*l - 3*k, -2*l - 12 = -h*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 4. Let h = -35 + 35. Is 11 - (p - 1 - h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40320 and 3417120?\nAnswer: 13668480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**5 + 28*m**4 + 1513*m**2 - 102*m + 24.\nAnswer: -60*m**3 + 336*m**2 + 3026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c. Let k(s) = 7*s + 1. Let b(w) = -k(w) + 4*r(w). Let i(d) = -d + 9. Let l be i(6). Suppose -2*m + 4*p = -14, -m + 16 = l*m - 5*p. Determine b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (76\/12 + 1)\/((-4)\/36). Let m = b - -94. Is 14 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and 16\/28 - (-1 + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186445 is divided by 148?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m**3 - m**2 - 47*m + 90. Give a(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -30*m - 4546. Put 1, m, 5 in descending order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4ce95 (base 15) to base 14\nAnswer: -65a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -368\/5*i**2 + 4*i**3 + 1744\/5*i - 128.\nAnswer: 4*(i - 10)*(i - 8)*(5*i - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -214*y + 1008 - 30 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12542 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Let y be 1 - 0 - 3\/z. Is 2 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.5 + 27.7. What is the closest to x in 3, 1\/6, 0.3, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.02, 2, 6\/5, 1\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -58. Let m = c - -25. What is the lowest common multiple of 5 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.8 + -59. Which is the nearest to 0.1? (a) 5 (b) m (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -53\/2, 2, 1\/2, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.134.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0, 1.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a day in hours?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*d + 5*h, 5*d + h - 62 = -95 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2578856 to the nearest integer?\nAnswer: 1606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1 + 2 - q**3 - q**3 + q**2 + 3*q**3. Let p be j(0). What is the tens digit of -1 + (p*138)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/114)\/((-15)\/(-18)*3)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16307 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-55)\/(-165) - (-118)\/6. Calculate the highest common factor of 330 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from voovovovvo?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 57\/(-3)*(-2)\/(2 - 0). Suppose -g*l = -3*l - 48. Suppose -4*j = b - 12, 5*b - 10 = -4*j + 2. Sort l, b, 4 in increasing order.\nAnswer: b, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2211 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/3)\/((-4)\/(-6)). Let t be 3 - (-4 + (-10)\/a). Solve c = -t, 0 = -2*k - c - 0*c + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9408 and -384?\nAnswer: 3612672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**2 - 10*j - 6. What is the remainder when u(6) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288354, 288565, 288776, 288987, 289198?\nAnswer: 289409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*v - 407*v - g - 4*g = -0 + 45, -g = -4*v + 29 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -22c4 - 424?\nAnswer: -26e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 10:56 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17603694 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 41*n + 5. Let j(g) = -513*g + 1. Determine y(j(o)).\nAnswer: -21033*o + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(34)\/sqrt(2))**2 + 3)*5.\nAnswer: -1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 + 1032 = 19*f. Calculate the remainder when f is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172617831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*p**2 - 4*p - 18.\nAnswer: -2*(p + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(448) + sqrt(448) + 0 + sqrt(448)))**2*6 - 2*4*(sqrt(448) + -1)) + -4)*5.\nAnswer: -320*sqrt(7) + 1935380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-96)\/14)\/((-2)\/14). What is the highest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -2*sqrt(70))*-4 + (sqrt(70) - (sqrt(70) + sqrt(70)*-2)*-2))\/(sqrt(10) + -1*sqrt(490) - (sqrt(90) + 1*sqrt(90))).\nAnswer: 13*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d + 26. Let z be a(-7). Let m = 103 - z. Suppose -4 + m = -2*v. Solve 0 = -0*k + v*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288 = 1959*m - 47687 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652217 by -5.\nAnswer: -652217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 111\/206?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:17 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z = -239 + 91. Let w(h) = 2*h**2 + 6*h - 8. Give w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159323833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.1 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-153)\/(-850))\/((-24)\/10).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -311808, -311781, -311764, -311763, -311784?\n\"Answer: -o**3 + o**2 + 31*o - 311839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158646 divided by 6.\nAnswer: 26441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4286861 and 4033?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/99 + ((-155)\/55 - -3). Which is the fourth biggest value? (a) 2\/5 (b) -0.1 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377842.8 litres to millilitres.\nAnswer: 377842800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 395 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-33546)\/(-5))\/(9 + (-473)\/55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-84)\/(-16))\/((-230)\/15) and 25\/2.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) -21.1 (c) -4 (d) 10\/31 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 3*t. Let y(w) = 7*w + 12*w + 0*w - 5*w - 10*w**2. Give 14*r(o) - 3*y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j. Let g(o) be the third derivative of 0 + 0*o**3 + 0*o - 11*o**2 + 1\/12*o**4. Give l(g(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p*p**(-21\/2)*p*p*p*(p\/(p\/(p**(9\/8)\/p)))\/p*p assuming p is positive.\nAnswer: p**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-209)\/(-3762)*14\/(-7))\/(183*4\/54)\nAnswer: -1\/122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q + q - 3*q - 2 + 3*q. Let m(a) = -57*a - 44*a + 6 + 79*a + 1. Determine 2*m(u) + 7*r(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 + 227. Suppose -m*k - 7874508 + 1604508 = 0. What is k rounded to the nearest 10000?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 161304 + -36640?\nAnswer: 121334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020 (base 4) in base 9?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/2596 and 79\/1180?\nAnswer: 12980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1856.5119us?\nAnswer: 0.00000002148740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = m - 5*y + 13, -3*m = y + 85. Let h = m - -40. Suppose -h + 18 = 2*t. Solve -2*r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5 - 2896*g**4*o**3 - 38*g*o**3 - 6*g*o**2 - 2*o wrt g?\nAnswer: 40*g**3 - 34752*g**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13700 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.01299 + -117.72.\nAnswer: -39.70701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - n)*(-35*n + 469 - 469 + (-4 + 2 + 3)*((-n + 5*n - n)*(1 - 4 + 0) - 19 + 19 - 3*n)).\nAnswer: -94*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 612694*p**3 - 18 - 612693*p**3.\nAnswer: p**3 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000643936 rounded to 6 decimal places?\nAnswer: 0.000644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -10, 69, -5, 1\/3 in increasing order.\nAnswer: -19, -10, -5, 1\/3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -1, -4 in descending order.\nAnswer: 5, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nennnennneennn. What is prob of sequence en?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/3 - u**2\/2 + 10*u. Suppose -5*h - 23 = -8. What is the tens digit of n(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 1.98. Let s = -2.07 - g. Let t = s - -0.07. Sort t, 4, 2\/13 in descending order.\nAnswer: 4, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 597 and 8557?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2838 + -2837.954. What is the smallest value in 0.08, 0.3, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374495198 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22163.6 + -22163.2. Let p = 198 + -1388\/7. Let t = 4 + -2. Which is the nearest to p? (a) -2 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30819, 30825, 30835, 30849, 30867, 30889?\n\"Answer: 2*h**2 + 30817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28 + -12)*9\/2. Let m be (a\/27)\/(3\/9). Put 3, m, 5 in increasing order.\nAnswer: 3, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 6*d**2 + 8. Let j(s) = 2*s + 1. Let l(z) = 6*z + 3. Let k(r) = -17*j(r) + 6*l(r). What is the remainder when f(6) is divided by k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 102\/13. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 9?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825137.\nAnswer: 29, 37, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 22*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyrb when four letters picked without replacement from btbrrjy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -55. Suppose 2*j + r = 7*j - g, -r = -2*j + 11. Let f(w) = -w**2 + 7*w + 8. Let v be f(8). Solve -10 = 2*c - 5*c + 5*k, -2*c - j*k - 8 = v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 515749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -4*y**3\/3 + 45*y**2\/2 - 7*y - 4. Let a(t) = 6*t. Calculate a(f(u)).\nAnswer: -48*u + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = -0*f. Suppose o - f*o = -33. Calculate the lowest common multiple of 3 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*t - 694*t + 22 = -s, -9*t = 2*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {w: 5, i: 5, t: 5, x: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j - 44. Let h be x(-12). List the prime factors of ((-55)\/h)\/((-3)\/(-24)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z**(-4)))*z**(-8)\/z assuming z is positive.\nAnswer: z**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -14 (c) 0 (d) -7 (e) 2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 20.33734 nanograms?\nAnswer: 0.00002033734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*j**3 + 2762*j**3 - 684*j**3 + 32*j**2 - 32*j**2 - 695*j**3 - 685*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67927?\nAnswer: 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 2 r when four letters picked without replacement from {r: 2, l: 2, v: 2, z: 12, x: 1}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682030, 1364040, 2046014, 2727934, 3409782, 4091540, 4773190?\nAnswer: 5454714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 28 = 5*d. Suppose d*g = 6*g + 12. Suppose 0 = 6*j - 6 - 0. Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*k - 10 = 0, 3*b - 3*k + 15 = -0*k. Let y = -8 - b. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -455 - 3?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 98*x**2 - 3 - 27160*x**3 - 100*x**2.\nAnswer: -27160*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 60, 119, 202?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 2*p + 0 + 15*p - 1. Let g be c(-1). Let j be -6 + 3 - g - -3. Solve -3*k + j = 4*v - 4*k, 0 = 5*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008 = -386*v + 358*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y**2 + 4*y - 10. Let u be q(4). Let l = -49 - u. What is the tens digit of 24\/l*(-1 + 2*14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 626154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b - 9*b - 5*b + 5*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -297669 in ascending order.\nAnswer: -297669, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 5) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -653\/1545 + 7\/309. Which is the closest to -1? (a) i (b) -14\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-20) - 204\/(-16). What is the highest common divisor of p and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218663803.\nAnswer: 281, 778163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (y - 3*y + y + (0*y + 0*y - 2*y)*(0 + 0 + 1) - 5910*y - 4055*y + 4567*y)*(y + 2*y - 2*y) in the form h*y + u + k*y**2 and give k.\nAnswer: -5401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -144 - -149. What is the nearest to -1 in 18\/11, -1\/11, g?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/24 - 5*h**3\/6 - h**2. Let y be u(-5). Suppose 2*t + 2 - 4 = y. What is the remainder when 1 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2\/5, 0, -15 in descending order.\nAnswer: 20, 0, -2\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 7 - -136*3\/(-2). Let j = 3233\/16 + b. What is the common denominator of 31\/6 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -1*(-170)\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1))\/(l*l**5)*(l*l**(-3\/8)\/l)\/((((l*l**10*l)\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(-123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -11. Let i = c + 19. Calculate the greatest common divisor of i and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 21*m - 153. Let x be a(-6). Solve -51 = -21*n - x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:42 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -215515156 from 0.0778.\nAnswer: 215515156.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.3, -2.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156201 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 5*h - 97, -4667*u - h = -4666*u + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5890, 25828, 59050, 105550, 165322, 238360, 324658, 424210?\n\"Answer: -c**3 + 6648*c**2 + c - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -12. Let l = 25 - j. Let p = 9 - l. Which is the nearest to 4? (a) -0.5 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 795392299 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, 7, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115 + -57. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 + 883. Let k be (-12)\/o*1*4. Which is the third smallest value? (a) k (b) 5 (c) -5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27968 and 1564.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.05 + 0.05. Let n = -7.2 - i. Suppose 47*q = 42*q + 4*y - 16, -3*q = -y + 11. What is the closest to 0.1 in n, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1432, 2846, 4260, 5674, 7088?\n\"Answer: 1414*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 18*p = 6. Factor -o**2 - p*o**2 - 28*o - 2*o**2 + o**2.\nAnswer: -4*o*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, e: 1, b: 2, f: 7}. What is prob of picking 1 b and 1 e?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -927, -1849, -2771?\nAnswer: -3693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 27721, 6 in increasing order.\nAnswer: -2, 6, 27721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 - -4) + -1)*1. Which is bigger: -3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 168 = -0*f + 3*q, 4*q = -4*f + 608. Let l be (f\/5)\/4 + 2\/10. Let b(a) = -a**3 + 11*a**2 - 10*a - 10. What is the units digit of b(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 26172*q - 104640 = 0 for q.\nAnswer: -8720, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 1. Let p be j(6). Let u(h) = -5 + 5*h + 2*h**2 - 3*h**2 + 0. Let t be u(p). What is the second smallest value in 5, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3\/4 (c) -3958\/3 (d) 68 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.811349 milligrams to kilograms.\nAnswer: 0.000002811349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/11 bigger than 1960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s + 56. What is r(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3249418 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1143, -2, -5, 1 in decreasing order.\nAnswer: 1143, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4*h - 396 = 86, 0 = -5*y - h + 1150. What are the prime factors of y?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18133 != 3.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3 - 510\/171). Let g = d - 44. Solve -3 = -4*j + g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-36) + 686\/(-12). Suppose -4*i + 26 - 18 = 0. Calculate the remainder when t*9\/6*(-12)\/54 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*w**4 + 12*w**4 - 16*w**4 + (-2*w**3 - 3*w + 3*w)*(1 + w - 1) - 7*w**2 + 7*w**2 - 6*w**4.\nAnswer: -30*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/13 (b) 3\/5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 272 - 363. Let h = 197 - w. Let x(l) = h - 5*l - 70. Let s(d) = 2*d**2. Determine s(x(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -360*p**3 - 5*p**2. Suppose -s = -3*s + 20. Let d(w) = w**2 - 11*w + 2. Let o be d(s). Let n be z(o). Round n to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-8)*4 + -4. Suppose 5*h - 5*l = 0, -2*h = -2*l + 5*l - w. What is the remainder when 1 is divided by (-1)\/(-2 - (-3 + h))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d**3 - 14*d**2 - 38*d + 127. Let s(a) = -15*a**3 + 19*a**2 + 52*a - 169. Give 8*s(l) + 11*z(l).\nAnswer: l**3 - 2*l**2 - 2*l + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77971, -77973, -77975?\nAnswer: -77977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92588043 to the power of 1\/2, to the nearest integer?\nAnswer: 9622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.5, 2\/7, -188, -0.5 in decreasing order.\nAnswer: 0.5, 0.4, 2\/7, -0.5, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2*i + 2818 + 184, 0 = -4*n + 5*i + 11995. Round n to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3784199 less than 34967?\nAnswer: 3819166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 4) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 17.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**3 + 0*l - l + 3 + 4*l**3 - 4 + l**2. Let a be q(-2). List the prime factors of 1 + 0 + -2 + 0 + a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h + 246*h. Solve -6*a + 8 - 44 = h for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)*j**(-2\/5)\/j)\/(j*j**(-2)\/j)**48 assuming j is positive.\nAnswer: j**(458\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 1197.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -290191 + 534531791\/1842. What is the common denominator of q and -8\/51?\nAnswer: 31314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + j - 449, 334*j - 338*j = -5*o + 754. Solve 143 = 7*b + o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001843387521 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 25 - 4\/3*f**3 + 8*f**2 - 16*f. Suppose r(p) = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/22 and 29\/12066.\nAnswer: 132726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 599*s**3 + 7 + 1267*s**2 - 8 - 1267*s**2.\nAnswer: 599*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2239, -4465, -6683, -8893, -11095, -13289?\n\"Answer: 4*i**2 - 2238*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9032 and 30.\nAnswer: 135480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (26*3\/6)\/(14\/742). Let j = z - 12439\/18. Calculate the common denominator of -80\/21 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m**2 + 376*m - 252. Let t be d(62). Let r(y) = -2*y - 2. Let b(k) = -5*k - 3. What is t*b(l) + 9*r(l)?\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/11 - 42308*g\/11 = 0. What is g?\nAnswer: 0, 21154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432602 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1909 + 1346. Let c = b + 565. Let z = -18 - -52\/3. What is the second biggest value in 0.3, z, -0.02, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*-97*(-21)\/32592?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, 6, 0.2, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-5 + -6)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 - 61*f. Let b(j) = 129*j + 35*j - 160*j. Determine l(b(g)).\nAnswer: -48*g**2 - 244*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -1*sqrt(17))**2*-4 + 4)*-1.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*z - 2988, 5*o = -z + 5*z - 3748. Let p = -425 - o. Suppose p - 74 = 3*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + -39 + 22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1792, 5083, 8374, 11665, 14956?\n\"Answer: 3291*p - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + 27. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -100100101011101100?\nAnswer: -100100101011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 30. Determine j(29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of ((-7826)\/(-104))\/(-7*(-1)\/1008)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108178101.\nAnswer: 3, 7, 148008481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0559226798 rounded to 4 decimal places?\nAnswer: 0.0559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 13*z + 34. Suppose -5*a + 2*l + 2*l = -78, -5*a = -2*l - 84. What is the remainder when t(-15) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4107 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11537, -3, 5, -1, -5.\nAnswer: -5, -3, -1, 5, 11537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/4, -3\/215, 0.166, -4\/3?\nAnswer: 0.166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21900.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 2*q + 1. Let h(x) = -x**2 + 2*x + 1. Let i be (-36)\/10 + 12\/20. Calculate i*f(m) + 4*h(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4970 + -4967. What is the closest to y in -0.2, -16, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4 - 0. Let k be 6*1*l\/(-3). Suppose k*u - u - 1 = 0. Solve 0 = 3*v + 3*w - 15 - 6, -v = -w - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/12*(4 + 32\/(-4)). Let s(l) = 7*l**3 - 9*l**2 + 18*l + 9. Is s(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 1 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 18*k**2 + 8*k + 14. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by -35379?\nAnswer: 94\/35379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1396308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from xjx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*a - 48*a + 62176. List the prime factors of a.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f - 1956 + 1955 + 33*f.\nAnswer: 9*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/2*(-9)\/((-90)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*-8*(-1)\/30\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**3 - 488*j**2 - 16240*j - 80736 = 0.\nAnswer: -58, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171834 and 1404?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4663196001.\nAnswer: 3, 241, 79627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**6\/15 - a**4\/2 - 13*a. What is the third derivative of n(b) wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.328677 litres?\nAnswer: 328.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/5? (a) 2\/123433 (b) 57\/7 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116289 - 1257156 = 11309*j - 77821 for j.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdbb when four letters picked without replacement from {b: 5, d: 1, l: 3}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -4. Let p be 14\/(-6)*(8 + h). Let u = p + 39. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 4*r**2 - 4*r - 2. Let v be x(5). Suppose -v*m = -i - 1, 5*i + 7 = -3*m + 2. Is i - -50 - (-1 - 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 8*f = 3*f + 70, n - f - 18 = 0. Calculate the highest common divisor of 112 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(11)*4*-1 - 4*sqrt(539)*5*-3)**2.\nAnswer: 1795376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 246*o + 577. Is 32 a factor of k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 5*t + 11. Let q be j(-6). Solve h - q = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*j + 3399980, j + 1360012 = 2*o - 2*j. What is o rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 5. Let f be m(4). Let n = 9 + f. Suppose q + 2*b - 22 = 0, -b - 46 = -3*q - n*b. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -1)\/(3\/2). Let s be (34\/(-136))\/(4\/(-48)). Sort g, -12, s in ascending order.\nAnswer: -12, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2 + 66148*t + 4159386 = 0.\nAnswer: -33011, -63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k**2 + 7*k - 2. Let f(w) = 9*w**2 - 8*w + 3. Let m = -21 + 23. Let u(h) = m*f(h) + 3*b(h). Find the second derivative of u(p) wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2968 divided by 14.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h**2 + 3*h**2 + 0*h**2 to i + c*h**2 + t*h and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -147 * -1\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-2)\/(-12)*(-7 - 3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033950529 rounded to six dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3495, -3567, -3655, -3759, -3879?\n\"Answer: -8*l**2 - 48*l - 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 25. Suppose -3*k = -2*q + p, 3*q - 2*k + 23 = -7*k. Sort -2, 0, q.\nAnswer: -2, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 59 + 68 + 55 + 70 - 348 + 63.\nAnswer: -2*j - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 62 + 227*p + 20 - 140*p. What is the units digit of g(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-15))\/((-12)\/(-18)). Solve -4 = t*x - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206.07263 hours in weeks?\nAnswer: 7.17900375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3144*k**3 + 583*k**3 + 97*k**3.\nAnswer: 3824*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/40998 and -7\/28097296.\nAnswer: 84291888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -7*k - d, k + 285 = -3*d - 281 + 585 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 8. Let d be f(-6). Let n(m) = 0*m - m - 3*m**d - 2*m**2. Let o be 1 + 0 + 0\/(-2). What is n(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*z - l - 34, -l + 45 = -3*z. Let a be 124506\/z*(-100)\/173488. Let h = a + 2\/1549. Calculate the common denominator of h and 15\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.9 + -0.1. Let h = x - -16. Let u be 11\/(-12) + 22\/33. Which is the nearest to h? (a) u (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, 5\/2, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1049.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.9 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/28*(-51)\/((-24990)\/343)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-44)\/10)\/((-5)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 6*j**2 + 6*j - 7. Suppose 4 = 2*l - 2. Suppose 5*o - 66 = l*f + 26, 116 = -5*f - o. Let u be (-16)\/f - 26\/(-6). Calculate r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c + 24. Calculate v(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16493692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 7*t)*(-t**3 + 2*t**2 - 2*t**2).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 0 + 0*w**4 + 1\/30*w**5 - 1\/6*w**3 + 2*w**2. What is the derivative of g(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4913?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20205063 (base 8) to base 4\nAnswer: 100100220303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -19. Let b be (-1 - -2)\/((-1)\/(-2)). Suppose r + k = 4*r, 3*c = b*r + 23. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9813010 or 9813014?\nAnswer: 9813010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44366081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -182*d**3*i*j*t**3 + 2*d**3*i*j*t**2 + 2*d**3*i + 4*d**3*j*t**3 + 13*d**3*t + 2*d*t**2 + 5*j wrt t.\nAnswer: -1092*d**3*i*j + 24*d**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**20)*r\/(r\/((r\/(r\/((r\/(r**35\/r))\/r)*r)*r)\/r)) assuming r is positive.\nAnswer: r**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 88 + (-55 - -7) + -16 + 1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4)**(-1\/3))**(1\/32)\/(a**(1\/4)*a**(3\/4)*((a*a*a**(1\/4))\/a*a)**(-6)) assuming a is positive.\nAnswer: a**(299\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1796864 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-34)\/3)\/((-1)\/(-3)). Let s be -15 + 19 + 0\/(0 - -2). Let b(c) = -2*c**3 + 5*c**2 + 5*c - 7. Let d be b(s). Is d <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 6367, 21790, 51849, 101422, 175387, 278622, 416005?\nAnswer: 592414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1399, -1302, -1107, -790, -327?\n\"Answer: 4*u**3 + 25*u**2 - 6*u - 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 351758818 = 351758819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 2*h, 12 = 2*i + 3*h + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2. Let z(b) = 6864*b. Determine z(f(g)).\nAnswer: 48048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 11*i + 12 = 0. Which is the closest to 2\/5? (a) -1\/4 (b) i (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14428411 is divided by 182.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 15. Let g be -13 + 16 + -4 - -3. Solve 5*d - u = -g*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -397 + 72. Suppose -193 - 477 = 5*g. Let w = g - v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -151 in descending order.\nAnswer: 4, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.23 - -22.77. Let u = 314 + -277.25. Let s = a - u. What is s rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k - 1260276 = 359454. What are the prime factors of k?\nAnswer: 3, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34438020 - w**2 + 34438020.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -29, -3, 10145.\nAnswer: -29, -3, -1.8, 10145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -300?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 328*w**2 + 2334*w - 14. Determine c(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d - 10. Suppose 26724 = d*k - 4*j, 2*k = j + j + 26720. Let g = 32059 - k. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -9 (c) 811 (d) 0.1 (e) -1 (f) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 41*b**4\/8 - 4*b**2. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276 and 210932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3520*g*t**2 + 6*g + 144108*t**2 wrt g.\nAnswer: 3520*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -14613267?\nAnswer: 14613270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11*(-59 + 3895\/66)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(336))\/sqrt(12))\/sqrt(4) + -5)**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 9 = 2*n. What is the highest common factor of 15 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (12 - (-2 + 7) - 31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(-1 + 1 + 1)*(153*a + 332*a - 855*a).\nAnswer: 740*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171122 by 85561.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -958a6 (base 11) to base 10\nAnswer: -139508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 471\/(-6) + (3\/6 - 0). Let c = 165 + t. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13311 and 837?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 17685.\nAnswer: -3, 2, 17685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9770 = -5*w - 4*v, 5*w - v = 4*v + 9770. Let g = -297007\/152 + w. Which is smaller: g or 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e7 + -5c0?\nAnswer: -8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34284 and 684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2187, -2194, -2201, -2208?\nAnswer: -2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27493 - 27308. What is the remainder when 349 is divided by k?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 13. Let w be 62\/7 + 2\/r. Solve -4*y - w = 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 15*b - 10 = 5*g, 2*b - 11 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2374584)\/(-84) - -3*9\/189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-6)\/(-2))*54468\/168. Let k = p + 108. Let d = 0 + 0. Do k and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m + 444985 = 446460 for m.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(117\/(-312)). Sort -3, 76, m, 3 in increasing order.\nAnswer: -3, 3, m, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/62, 3619, -2?\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 7*k. Let v be d(5). Suppose 0 = -3*b + v, 2*h + 3*b = -h + 15. Suppose -7*m + 2*m + 2055 = h. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/2 - 54*h**4 - 671*h**3\/2 - 735*h**2 - 682*h - 228 = 0.\nAnswer: -2, -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97951.\nAnswer: 7, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**5\/60 + 3*i**4\/8 - 13*i**3\/6 - 16*i**2. Let b be p(8). Sort -3, 5, 0, b.\nAnswer: b, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 27*v**2 - 361*v - 2921. Give k(-8).\nAnswer: 1695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17284 and 21605?\nAnswer: 86420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4102.08556 to the nearest one hundred.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y**2 + 24*y**2 - 13*y - 23*y**2 to the form v*y + w*y**2 + a and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -9, 5*q + 10*c = 12*c - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 29. Let y(n) = n + 29. Let j(r) = 2*p(r) + 3*y(r). Does 5 divide j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*h - 13 = 5, -h + 22 = 4*r. Suppose 0 = -2*d + 4*v - r, -2*d - v - 3 = -4*d. Solve -l = d*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8459407244 plus 0.16?\nAnswer: 8459407244.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69694104, 69694100, 69694096?\nAnswer: 69694092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(16\/6))\/((-21)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 177145.488ms in days?\nAnswer: 0.002050295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10 - ((-942)\/135 + 8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 7*s**5 + 3*s**3 - s**3 + 4*s**2 - 4*s + 6*s**5 - 2*s**4.\nAnswer: -s*(s - 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - x - x + 26, 0 = -3*d - 3*x + 21. Calculate the highest common factor of 9 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 11*n - 13. Let l be j(7). Let v be 8 - (-6)\/l*-4. Suppose -v*h - 81 = -91. Solve -z = h*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 35152*k**3 - 77544664*k**2 + 1387273680*k - 6229944900.\nAnswer: -4*(k - 4385)**2*(k - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0 (b) 25.1 (c) -0.5 (d) -3\/4 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 36*u + 173. Let w be h(-13). Let t = -129 - w. Let n(y) = -y**3 - 2*y**2 + 2*y + 5. Give n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/2 + 4*c**2 + c. Let q be 6\/(-27) + (-305)\/45. Let v be (-1)\/(q\/49 - (0 + 0)). Calculate z(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/381 + 712\/1905. Find z such that -j + 0*z**2 + 2\/5*z**4 - 4\/5*z + 4\/5*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*t = -3448*t + 1684*t + 120 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -905201 or -905211?\nAnswer: -905201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*4\/((-24)\/6))\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*n + 2*r + 19, -5*n + 16 = 4*r. Suppose -b - 50 = -17. Let j be 10\/(-55) - 6\/b. Solve n = -4*t - j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 10:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -111*d**5\/10 + 3899*d**4\/8 + 8448*d**2 - 2*d. Find the second derivative of w(c) wrt c.\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24753 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -45 - 55 - 50 + 167 - 2*j - 33*j. Let k(r) = 2*r. Calculate k(z(i)).\nAnswer: -70*i + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*s + 2*x, -s - 2 = -27*x + 26*x for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -5*t**4\/24 - t**3\/6 - 4*t**2. Let h be 0 + 0 - -1 - 0. Determine z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 175*a - 1889. Let r be b(11). Solve -117 = -r*k + 49*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -847 * -1\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 1600, 4, -2\/3, 1.7, -36?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3275727043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454361?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 75*u**2 + 3039*u - 2961.\nAnswer: -3*(u - 21)*(u - 1)*(u + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 417505?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k - 6*k + 3*k)*(-4*k**3 - 4*k**3 + 3*k**3) + (3 + 0 - 1)*(3*k**4 - 6*k**4 + 4*k**4) to d*k**4 + n + c*k + o*k**3 + u*k**2 and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -1.0827636896.\nAnswer: -6.0827636896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 18528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -2*z**3\/3 + 16. Let y(b) = -11790*b. Let o(u) = 268*u. Let d(s) = -131*o(s) - 3*y(s). Give d(i(h)).\nAnswer: -524*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 49 from -1529.\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059475496 rounded to five dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 2. Is g(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 1, g: 2, l: 1, h: 3, f: 1}. Give prob of sequence cg.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*s - 173 + 173)*(-2 - 2 + 6) to the form n*s + x and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26592386 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 7*z - 11. Let k be x(-9). Suppose 1340 = 4*l + 4*a, k*l = 4*l + 2*a + 1015. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5615 and 3.\nAnswer: -16845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 + 32 = 0. Let l = o + -5. Let s(x) = x**3 + 23*x**2 + 43*x + 30. What is the remainder when s(-21) is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49\/3? (a) 4 (b) -4 (c) -15 (d) 0.128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24 + 0)*(-11)\/(-33). Let p = y - 10. Suppose 5*g = -3*d + 20, -d - 5 = -g - 9. Sort p, d, 1.\nAnswer: p, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 534744537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84903 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w - 2. Let x(n) = n. Let d(g) = -k(g) - 3*x(g). Let v(c) = c - 2. What is 6*d(a) + 5*v(a)?\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/16 + 7\/4. Let f(p) = 6*p**d - 8*p - 5*p**2 - 6 + p**2 - 3*p**2. Give f(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1670 divided by 9586\nAnswer: 835\/4793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33331221132 + -130?\nAnswer: 33331221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -286, -268, -232, -172, -82?\n\"Answer: d**3 + 3*d**2 + 2*d - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11608 and 2957.\nAnswer: -34324856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(x + 0*x + x) + 0*x + 0*x + 2*x - 3 + 3 + 3*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 30*s. Let x(m) = 35*m**2 - 12*m**2 - 10*m**2 - 9*m**2 - 7*m**2. Determine x(r(f)).\nAnswer: -2700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -4*u, -4*t + 5*u = -26 - 19. Let w = -15 - -15. Which is the closest to 0? (a) 6 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**4)\/g)**(-27)*(g**(-1)*g)**(-15))**7 assuming g is positive.\nAnswer: g**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 724297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 3*q + q)*(3*q - 2*q + 0*q - q + 2*q - 3*q + (-1 - 1 + 1)*(2*q - q + 0*q) - 9*q + 8*q + 20*q)*((-2 - 3 + 3)*(3 - 1 - 4) - 2 + 5 - 2).\nAnswer: -85*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + -1) - sqrt(19))*-5 - ((sqrt(76)\/sqrt(4) + sqrt(19))**2 + 5).\nAnswer: -86 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**2 + 6*h - 2 - 15*h**4 - 3*h**2 - 9 - 28 + 11*h**2 wrt h.\nAnswer: -180*h**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-9)))\/((q*q**(-3\/11))\/q))**44\/((q**1*q)**(-1\/12)\/((q\/(q*(q\/q**(2\/9))\/q))\/((q\/((q*q*q**6*q)\/q))\/q))) assuming q is positive.\nAnswer: q**(-6761\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 34*k**2 - 196*k + 5802. What is the ten thousands digit of p(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 2*a + 2. Let h be z(-2). Suppose -3*j = -4*j + h*x - 7, 2*x = 4*j + 34. Let o(y) = -y**3 - 10*y**2 - 13*y - 11. Is o(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31556257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7357636304 to the power of 1\/3, to the nearest integer?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 4 + 4)*(2569*j**3 - 893*j**3 + 657*j**3).\nAnswer: -6999*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48\/(-4))\/(-4) - -1. Let w be (-3)\/15 - j - -4. Sort 0.4, w, -1.\nAnswer: -1, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, r: 4, y: 3, b: 1, w: 6, c: 2}. What is prob of picking 1 b, 1 y, and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**3 - 4*u**2 - 3*u + 5. Let p(d) = -18*d**3 - 7*d**2 - 5*d + 9. Let w(i) = -4*p(i) + 7*t(i). Let x = 388 + -389. What is w(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/280 + 1011*m**5\/140 - 340707*m**4\/56 + 38272753*m**3\/14 - 1662*m**2 - 2*m + 1. What is s in w(s) = 0?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(99) + sqrt(99)*-3*2)\/((sqrt(1350)*-1 - sqrt(54))\/((sqrt(240)\/sqrt(4))\/sqrt(10))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 4*k = 14, 3*k + 41 = -4*t + 33 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 43*q - 45. Let m be 6*(5 + -11)\/(-12). Let j be r(m). Calculate the greatest common factor of 1092 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001464894 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1530.64174 to 0 decimal places.\nAnswer: -1531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2. Let k(z) = 29*z - 93*z + 37*z + 40*z. What is u(k(p))?\nAnswer: -1352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 161*k**2 + k - 1. Let m = 3 + 0. Suppose 5*r = 4*r + s - 4, s = m*r + 2. Is o(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/8 - 7*c**3\/6 - 2*c**2. Let f(v) = -v**3 + v**2 - v - 1. What is the lowest common multiple of f(-1) and g(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/10)\/(6\/30) - -932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929133163 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 1\/3 (b) 4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxxgxkxxgvqxvxvqvvg. What is prob of picking 2 k and 2 x?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 515*c**2 - 2*c - 1105*c**4 - 518*c**2 + 1031*c**2 to the form u*c + q*c**4 + h*c**3 + d + o*c**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -286309.\nAnswer: 5\/286309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - d = -9, 0 = -o + 5*d + 2 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 18*y**3 - 6*y**2 + 3. Let l be x(4). What is the units digit of (-1)\/8 - l*8\/(-192)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25*1*(-24)\/20. Let g = s - -35. Let y(t) = 27*t + 21. What are the prime factors of y(g)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792, 1544, 2800, 4560?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008457 to four decimal places.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -157, -8, -1, -0.2, 0.23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 25*d**2 + 74*d + 29. Give l(15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 28*n**2\/3 - 7*n + 10\/3.\nAnswer: (n - 10)*(n + 1)*(3*n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*c + 268 = 3*c, 0 = 5*v + 2*c - 318. Calculate the greatest common divisor of v and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 29 - 23. Let j be 62\/4 - (-2)\/(-4). Solve 0*b - j = -k*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4\/3 (b) -1.1 (c) -2\/19 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 154 (base 8) to base 5\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 13529 = 6169. What is the greatest common factor of x and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.781216 rounded to two dps?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + u - 2 - 44 = 0, -3*l - 5*u + 62 = 0. What is the remainder when (7\/(-2) + 2)*-46 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/70*(-5)\/(-23). What is the closest to -0.1 in 0, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2. Let s(n) = n**3 + 6*n**2 - 2*n - 7. Let q be s(-6). Suppose 37 = q*x - k - 3*k, -2*x = -4*k - 10. Let p(m) = -x - m + 9. Calculate p(z(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.399 + -1.77. Round v to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**4\/3 - 195244*z**3\/3 - 46206348*z**2 - 33020736164*z\/3 - 2626301569544\/3 = 0. What is z?\nAnswer: -48094, -239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + 5\/20. Suppose t = -2*y - 0*y + 4. Suppose 3*k - 75 = -y*k. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Let z = 7 - 2. Which is the nearest to w? (a) 2 (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7612*r. Let y(t) = -7*t**2. What is y(v(n))?\nAnswer: -405597808*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c + 26 = 0. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 877325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.718 + 2.282. Sort 1, -59, i in ascending order.\nAnswer: -59, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51487, -51502, -51547, -51622, -51727?\n\"Answer: -15*w**2 + 30*w - 51502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 75, 182, 373, 672, 1103, 1690?\nAnswer: 2457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17908*l - 17980*l + 52632. Suppose -g + 0*g = -86. What is the highest common divisor of g and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57407562283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891448 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.062 - 0.138. What is the nearest to -10\/3 in u, -0.4, -0.18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14841*w**2 - 561*w - 1683. Let x(s) = 53*s**2 - 2*s - 6. What is 2*j(a) - 561*x(a)?\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 572161440 a multiple of 344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1941 + -1941.1077. What is v rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2 = 3*m. Let j be m\/(-1)*(-2 - 0). Suppose 0 = -5*u - 5*h + 40, -5*u + h + 16 = -0*u. Solve -5*t = u*i - 7, -5*t + 5*i = j + 16 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467 is divided by 212?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + 13. Suppose 50 = n*a - 30*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1299 is divided by 245?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 - 2 + l + 16*l**2 - 3*l**2 - 3 + 2*l**2 as g + h*l + i*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(n - 3*n + 3*n) + 27*n - 42*n + 23*n + n - n - 2 - n.\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 112744, 1, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + o - 12 - 1 = 0, -3*o - 1 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(121)\/(sqrt(11) + sqrt(55)\/sqrt(80) + sqrt(11)))**2 - ((sqrt(99) + -3*sqrt(99))**2 + sqrt(11) - (sqrt(11) - (-2*sqrt(121))\/sqrt(11))).\nAnswer: -31576\/81 + 34*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1273 is divided by 367.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -1, 2\/3507?\nAnswer: 2\/3507","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-336) - (-1)\/(-4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -14*w**2 + 2*w - 83. Let g be c(-7). Let a = g + 786. Solve -a*s - 4*z = 20, 5*z = 5*s + 6 + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7528 and 2860.\nAnswer: -21530080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1460, -120, -5 in decreasing order.\nAnswer: -1, -5, -120, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 565947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11122303100 (base 4) to base 3.\nAnswer: -2200011112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -16?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106520\/63 - 11834\/7. Suppose p - 10 = -2*r, 4*r + 5*p - 31 = 1. What is the nearest to 0 in 1\/2, -0.3, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 3730.\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -31*n**5 + 2*n**4 - 2*n**3 + 6*n + 2. Let x(p) = -p**5 - p**4 + p**3 + p - 1. Let i(m) = c(m) + 2*x(m). Find the second derivative of i(j) wrt j.\nAnswer: -660*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 13*l + 97. Let b(u) = 16*u**2. Determine m(b(p)).\nAnswer: 208*p**2 + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127\/12 - 41\/4. Let s = 0.8 + -0.4. Let z = s - 0.6. What is the nearest to g in z, -1, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-120)\/(-100)*32920\/16 is divided by 492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -973, -974, -975?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 21 = -19*a + 179. Factor -576\/7*p + a*p**2 - 2\/7*p**3 - 648\/7.\nAnswer: -2*(p - 18)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -469394 divided by -17\nAnswer: 469394\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27095587 to three dps.\nAnswer: -0.271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 39*m - 20. Let t be a(7). Suppose -1177 + t = -7*d. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + p + 4*p**2 - 16*p**2.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 3*q + 4*q - 4. Let x be h(-3). Suppose p - 6 + x = 0. Solve 3*n + 4 = 2*z - 15, -2*n = 2*z - p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46157564*b**2 - 23078777*b**2 - 23078779*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 3.5352974\nAnswer: -3.0352974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 10*b**2 + 32*b - 96. Let k be t(7). Is k\/2*-121 - 3\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*g + 2599, -12*i + 17*i + g - 4295 = 0. What are the prime factors of i?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 853545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11a658 + 3cd?\nAnswer: -11a269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkbi when four letters picked without replacement from {b: 2, i: 3, l: 3, k: 1, z: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -0.41. What is the third smallest value in -0.5, p, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 503790202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from rwwwvcwpwcpwwrprr.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3447 divided by -3\nAnswer: -1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Suppose 0 = -z*a + 10*a - 24. What is the units digit of a\/(-8)*-8 + 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - -9. Let x = 23 - v. Are 12\/7 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5 - s - 1 - 2. Let x be d(2). Let t(b) = -b**3 - b**2 + 5. Let r be t(x). Solve 10*v = r*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166197696 divided by -13888.\nAnswer: 11967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m - 5*o, 0 = 4*m - o. Solve -k = -m*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 0.014?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 31. Let b = -2951 - -2960. Calculate the remainder when z is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000614933 rounded to 6 dps?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13885\/9 - 1543. Which is the closest to 1\/57? (a) -4\/3 (b) 1\/2 (c) g (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-116)\/(-32)*(7 - 3). Which is smaller: -80 or h?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6694?\nAnswer: 2, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/k**(-4\/13)))**(3\/14) assuming k is positive.\nAnswer: k**(-6\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1520\/(-1368))\/((-5)\/36).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16009.\nAnswer: 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 54 = 4*y - 14, -5*y + 85 = 2*i. Suppose -8*r = i + 26. Sort 3, 4, r.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12.2. Let l(u) = -u**2 + 9*u - 9. Let f be l(7). What is the closest to -1 in f, r, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038123 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 297\/(-34) + 36040\/4240?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*i + (-3 + 3 - i + (5 + 1 - 4)*(1 - 1 - 2*i) - i - 2*i + 4*i + i + 2*i - 2*i + 38*i - 75*i - 47*i)*(2 + 0 - 4).\nAnswer: 172*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 528\/(-968) + 6\/(-11)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527195 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*h + 14, -4*h + 21 = 5*c - 12. Suppose -p - 22 = -3*k - 6*p, 5*p + 10 = c*k. Solve 0 = -2*g + k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 44, 73, 102?\n\"Answer: 29*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61\/228 - -1673\/1140. Let 3*d - 8\/5 - 1\/5*d**3 - z*d**2 = 0. Calculate d.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 9933 + 9896 + 9927 - 29756.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 12*z + 8. Let r be h(10). Suppose -o = 3*o + 4, -y + 4*o + r = 0. Let a be 1 + 1*(57 + 2). Calculate the greatest common factor of y and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15347264 by 33076.\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8127, 8128, 8129, 8130, 8131, 8132?\n\"Answer: m + 8126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 18. Let c(a) = -3*a**3 - 2*a. Let d(g) = -4*g**3 - g**2 - 3*g. Give z*c(w) - 2*d(w).\nAnswer: -w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605*a + 994*a = -1966*a + 345805 for a.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/17 (c) 21 (d) 0.4 (e) 407 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30258 by 6.\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 1 - 4 + 2*z + (-3*z + 5*z - z)*(5 - 1 - 1) + (0*z + 5*z - 3*z)*(1 + 0 + 0))*(2*z**3 + 0 + 0).\nAnswer: 8*z**4 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -73*t + 1267. Calculate h(17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1456 (base 10) to base 14\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013329 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5884318 is divided by 312?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4447 (base 15) to base 13\nAnswer: -677b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-168))\/((-12)\/16)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*w. Let p(u) = w + 2 - 1 + 2*u - u. Suppose -2*i = -t, t + 4 = -2*t + 2*i. Give p(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8546.25986 rounded to the nearest integer?\nAnswer: -8546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 58, 16, -88, -278, -578?\n\"Answer: -4*u**3 + 5*u**2 + 9*u + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3107 - -3.757. Round w to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350.9 times 1740?\nAnswer: -2350566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2907, -5819, -8733, -11649, -14567?\n\"Answer: -p**2 - 2909*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5891 + -5871. Suppose 0 = 2*i - 12 + 2. What is the lowest common multiple of w and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816227.\nAnswer: 816227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w + 2. Let u(i) = -2*i - 1. Let g(l) = o(l) + 4*u(l). Calculate g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-21\/5)*(m\/(m**(1\/20)*m*m))\/m)**28 assuming m is positive.\nAnswer: m**(441\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/24 + 4680*b**2. Let i(j) = 148*j**2 + j - 5. Calculate w(i(p)).\nAnswer: -148*p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - o = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1567*p + 803*p + 816*p - 2652 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 n when four letters picked without replacement from dddndnddndddddnnnnd.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqh when three letters picked without replacement from mhdehddeqhmqq?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*y - 5640, -4*y - y = 3*d + 14108. Let f = y - -4044. Suppose -3*p + 2*v + f = -108, -4*p - 2*v = -1798. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 13*w**2 + 10*w + 11. Let c be n(10). Let d = 194 + c. Solve -2*u - d = -7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -42*c + 15*c - 115 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**3 - 105044*v**2 + 4204960*v = 0.\nAnswer: -52562, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2. Let g(l) = -5 + 7 - l - 2. Determine g(u(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 682*q - 40184. What is s(59)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-2) - 0\/6. Suppose -s + 7 = 2*f, -5*f + 22 - 7 = j*s. Does 18 divide s - (-99)\/(-3 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.128 + -60.872. Let y = 72 + q. What is the third smallest value in 3, -2\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 54.7517403?\nAnswer: -54.4517403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1220\/(-75) + -2 + 6852\/25695\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 73712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzpzvzzzz. Give prob of sequence pz.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence coo when three letters picked without replacement from {c: 6, f: 11, o: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07278 * -13729.\nAnswer: -999.19662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:18 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3635*g + 7343. Determine n(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 55 - 247. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 + 12 + -1. Does 10 divide 66\/h*(1 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 3*u - 3*w, 178*u - w = 183*u + 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 - 1. Let m = -25 - -26. Let k be v(m). Factor -7 + 0*u**2 - 2*u**2 - k*u**2 + 27.\nAnswer: -5*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38411 divided by 1.\nAnswer: 38411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 81574646023?\nAnswer: 81574646022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 913*o**2 + 3693*o + 25. Calculate t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1101 - 1105. What is the nearest to 0 in p, 1\/2, -3\/4, -10\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 1260, 2784, 4968, 7842, 11436, 15780?\nAnswer: 20904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 38, 94, 182, 308, 478, 698, 974?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyy when three letters picked without replacement from fffyyfyfffy.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*w**6*x + 133*w**5*x + 81*w**2 - 2*w*x + 12*x - 1 wrt w?\nAnswer: 1080*w**3*x + 7980*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1108188 + 507188. What is x rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -76)*(19 - (-8 - (-1284)\/48))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/4 - 5*n. Let k(g) = -8*g. Give k(c(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2229028252 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15079?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4798, -9604, -14410, -19216, -24022, -28828?\nAnswer: -33634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-18 + 21 + (6 + -7 - 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*r - 28, 4*p = -19*r + 22*r - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.52193739 times -0.2\nAnswer: -0.104387478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-8 - (-1)\/1). Is 224\/3 - d\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 482.\nAnswer: -2\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4712 - 4709. Let q(l) be the third derivative of 0*l**h - 29*l**2 + 1\/12*l**4 + 0*l + 0. Calculate q(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - c + 27, -5*c + 5 = -20. Suppose -2 = 5*w - 7. Let d = w + 1. Calculate the least common multiple of q and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383\/500 + -2\/125. Let s(w) be the first derivative of -6 + 0*w**3 + v*w**4 + 5*w + 0*w**2. Find the first derivative of s(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221201 - 1012100?\nAnswer: 1202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*d + 46*d - 823*d.\nAnswer: -1260*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9679 smaller than -25392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 4:42 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 28851240 to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 1. Let a be x(-2). Suppose -101 = -u - 0*u. Let s = u - 24. Calculate the highest common factor of a and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) 220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**6\/10 - 3*d**5\/5 - d**4\/4 + 3*d**3 + 6*d. Factor u(v).\nAnswer: -3*v*(v - 1)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20120 + -17037. List the prime factors of m.\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 21*z**2 + 2*z + 45. Suppose -15 = -8*w + 17. Let t be 4\/w + (-66)\/3. Let g be f(t). Solve -g*h + 31 = 5*p, -25 = -2*p - p - 5*h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1948 - 4\/(-6)*-6. Let u = r + 2761. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 13. Let q(b) = -6*b**2 - 9*b**3 + 9*b + 17*b**3 - 4 - c*b**3 - 3*b. What is q(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/9, -44\/5, -0.037, 15?\nAnswer: -44\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1947\/3281 - 1\/193. Sort -1\/7, 0.5, c in descending order.\nAnswer: c, 0.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/6 - 117947*k**3\/3 + 3091181142*k**2 - 242960623943716*k\/3 - 4862922839900720\/3.\nAnswer: (k - 78638)**3*(k + 20)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -274, -5 in decreasing order.\nAnswer: 5, 0, -5, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -2429*l**3\/3 + 7855. Let j(s) = 4*s. What is j(o(b))?\nAnswer: -9716*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 38*y - 32*y = -414. What is the remainder when y is divided by 46?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 17*k + 72. What is v(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*d**2*n*p**3 - 2*d**2*n - d**2*p**3 - 2*d**2 + 3020*d*n*p - 3*d*p**3 wrt d.\nAnswer: -54*n*p**3 - 4*n - 2*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**4*w*y - 2*a**4*w - 1495*a + 89*w*y - w + 10*y + 2 wrt a?\nAnswer: -8*a**3*w*y - 8*a**3*w - 1495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 13*g + 4. Determine i(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30*(-4)\/(-16))\/((-5)\/(-12)). What is the common denominator of -15 + s + 431\/(-90) and 29\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -45. Let o = w - 30. Let x = o + 8. What is the nearest to -1 in x, -1\/6, 1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*9\/(6\/(-2))*(-52600)\/3156?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 5*m + 8. Let u = 16 - 9. Let a be w(u). Does 11 divide (-3)\/a*1*44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 418812 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-127010)\/(-11724))\/((-91)\/(-36)).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**2 - 245*v**2 - 63*v**2.\nAnswer: -269*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6541 + 18989. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1605 in descending order.\nAnswer: 5, -4, -1605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, z: 2, p: 1, i: 1, k: 1, o: 1}. Give prob of picking 1 z and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.34 - 1.34. Suppose -l + a + 6 = 0, l = -3*l - 4*a - 8. Let h be (-33)\/135 + l\/(-10). What is the second smallest value in f, 4\/3, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3049 - 3c?\nAnswer: -3086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -2.1, 3, -6\/11 in increasing order.\nAnswer: -2.1, -6\/11, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 34*x + 4. Does 36 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g - g + 2*g + (2 - 2 - 3*g)*(-15 + 1 + 0 + 2 - 1 - 3 + 2 - 3 + 0 + (4 + 1 - 2)*(0 + 1 - 2)) in the form t*g + w and give t.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4111 equal to -4110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 10. Let u(s) = -2*s**2 + 2*s - 1. Let y be u(r). Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qptt when four letters picked without replacement from {p: 4, q: 2, t: 4, i: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 248. Let j(x) = 8*x + 4*x - 5*x - 20*x + 10*x. Give s(j(k)).\nAnswer: -18*k**2 + 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 7*q**6\/120 - 9*q**5\/4 + 19*q**4\/12 - 502*q**2. Solve n(j) = 0.\nAnswer: 0, 2\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2366?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3622, -2, -1, 0 in decreasing order.\nAnswer: 0, -1, -2, -3622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1492692 and 0.1.\nAnswer: 0.2492692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (24\/75)\/(-1)*-27*1\/324\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1748154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.43 * 188968.\nAnswer: -648160.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 73, 2, 0 in increasing order.\nAnswer: -3, 0, 2, 3, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trjt when four letters picked without replacement from ttjijjiizzri?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9530095 is divided by 156231.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**2 + 14*y + 696. Determine i(-20).\nAnswer: -1984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (65\/39)\/(70\/588). Let s(j) be the first derivative of 0*j**2 - 5 + v*j + 8\/3*j**3. Find the first derivative of s(w) wrt w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.42 rounded to the nearest integer?\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akjj. Give prob of sequence aj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 3) in base 16?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20000 + -10210?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**2 - 5*g - 5. Let u(x) = 5*x**2 + x + 1. Let s(p) = -5*p**2. Let y(k) = 5*s(k) + 4*u(k). What is 4*a(l) + 5*y(l)?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42624, -42628, -42634, -42642?\n\"Answer: -u**2 - u - 42622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -13674*y - 2538. What is the units digit of a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303013 - -12?\nAnswer: -303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1 - 0))\/(195\/(-15) - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 15) in base 3?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7565635 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*q = -1343*q + 144 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467 + 467 - r**2 - 3*r**4 + (-3 + 3 + r)*(3*r**3 - 3*r**3 - 2*r**3) + r**4 + 3*r**4 - r**4 to the form a*r**4 + s + h*r**2 + c*r**3 + g*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-2*sqrt(13) + 1)**2 - (0 + sqrt(13))*3) + (3 + (sqrt(1053) + sqrt(1053) + 2)*6)**2.\nAnswer: 3234*sqrt(13) + 151910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18*(-9)\/(-54)*(-23)\/3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 137425 and 7613?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*h + 259*h - 3 = 0. What is the third derivative of 260*n**2 - 36*n**4 - 60*n**4 + n**3 - 25*n**2 + n**h wrt n?\nAnswer: -2304*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*l - 33556, 7*w - 4*l + 33532 = 11*w. List the prime factors of w.\nAnswer: 2, 7, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 7*t + 5. Let l be r(-7). List the prime factors of -2 - (1 + -2)*l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -5*h + 8, c + 3*h - 5 = 0. Suppose -3*q = -c*q + 4, 0 = j - 4*q - 87. Let u = -35 + j. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -15. Let o = 13 + -8. Let w = t + o. Solve w = 2*i - 0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -35*v**2. Let t(a) be the third derivative of a**5\/60 - 27*a**2. Calculate o(t(s)).\nAnswer: -35*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 6*c + 3. Let k be a(-7). Let i = -28 + k. Let j = -8 + i. What is the remainder when j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2696359 and 1357?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -27*i**2. Let r(h) = -h - 3*h - 6*h + 7*h. Calculate w(r(f)).\nAnswer: -243*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 968.8869t in grams?\nAnswer: 968886900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 22*b - 5 - 15*b to the form r + c*b and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 5. Let k = -0.3 - 0.7. Let i = -3 + 5. What is the closest to k in z, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3 + 15. Suppose -13*y - 365 = -j*y. List the prime factors of y.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -3*h - 15, -2*z = h + 6 + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -181*q + 267. Let l be x(-11). Suppose l = 2*f - 464. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1462 - 4674 = 13*z. Is z bigger than -3305\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 751479734341.96?\nAnswer: -751479734341.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 4*k**2 - 3*k + 6. Let a = -214 - -218. Let l be f(a). Let j(t) = -2*t + 3. Let p(c) = c - 1. Give l*j(b) - 14*p(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/22)\/((-12)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -399953.\nAnswer: 5\/399953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000701 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.5 - 28.5. Let r = -43 + 42.97. What is the biggest value in r, -2\/3, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -655339 divided by -23?\nAnswer: 28493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - 8. Let n be o(-5). Suppose -n*h - h + 18 = 0. Find the third derivative of -p**3 + 6*p**3 + h*p**3 - 2*p**3 + 5*p**2 wrt p.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234736 and 2176?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 121*c + 204724. Give b(-396).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19482652 times -4?\nAnswer: 77930608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.46 + -0.46. Which is the second biggest value? (a) j (b) -3\/4 (c) 3\/8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6473, 1, -2, 3230.\nAnswer: -2, 1, 3230, 6473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25817821 to the power of 1\/2, to the nearest integer?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -6)*((-12)\/(-8))\/3. Does 18 divide (k + -3)\/(-2) + 121\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -702935.099651 and 0.2.\nAnswer: -702934.899651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + -19 - -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i = -5*b + 112, -2*i - 11921 = 2*b - 11891 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311479191 minus 1951?\nAnswer: 2311477240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -3. Let l be 4\/y + 420\/54. Suppose -3*f - l = 4*o, 0 = -2*o + o - 5. Solve -5*x = -x + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**4\/3 + 12293*p**3 + 36876*p**2 - 4*p\/3 - 49168 = 0.\nAnswer: -36876, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -828207\/98 or -8451?\nAnswer: -828207\/98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, 0.19 in increasing order.\nAnswer: -0.3, 0.1, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097845 at least as big as 1097844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 5*k - 37, -62 = -4*k - 42 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*y + 39 = -321*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3\/7 + 8608*a**2\/7 - 3213300*a\/7 - 50149800\/7 = 0. What is a?\nAnswer: -15, 502, 1665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/4 - 5*m**3\/3 + 5*m**2\/2 + 7*m - 6031. Give j(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9153? (a) -0.2 (b) -1\/9 (c) 2 (d) -2 (e) -5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r + 15*r - 30*r - r.\nAnswer: -34*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*f - 315 - 315 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*r - 28*q - 860 = -30*q, 0 = 2*q + 8 + 2 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758 by 4.\nAnswer: 379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 923 and 246725?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**3. Let p be c(1). Let k = 15 - p. What is the remainder when 19 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taaa when four letters picked without replacement from {t: 6, a: 13}?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -383\/2, 0, -2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, o: 3, b: 4, x: 2}. Give prob of sequence rboo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:43 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79889 times 668?\nAnswer: 53365852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2999\/440 + -236\/55. What is the common denominator of s and 45\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**9*n))\/n)\/(n**6*n*n)*(n\/(n**(-2\/9)*n))**(-13) assuming n is positive.\nAnswer: n**(-206\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 - -1.1. Suppose -5*h - 109 = -84. What is the closest to 7 in h, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*5467\nAnswer: 546.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -0.04 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k - 2. Let p be g(3). Suppose 21 = p*s + 3*i, i + 1 = -4*s + 16. Suppose s*u = u + 56. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2876 + -2768. Let f = -19 + 31. What is the highest common divisor of f and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/24 - d**3 + 2*d**2. Let l be y(-4). Let t(o) be the second derivative of -o**3\/6 - o**2\/2 - o. What is t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + h - 4*h + (196 + 4 + 76)*(-3*h - 4*h + 4*h) in the form x*h + b and give x.\nAnswer: -826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3871 and -89933.4?\nAnswer: 89933.7871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**5 - 156*g**4 + 1508*g**3 + 476*g**2 - 4872*g + 3040 = 0 for g.\nAnswer: -2, 1, 19, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 677579, 1355160, 2032741?\n\"Answer: 677581*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77327\/11 or 0?\nAnswer: 77327\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 16*n**2 - 17*n + 5. Let i be j(-17). Suppose i*v + 76390 = b + 3*b, -4*b - 5*v + 76410 = 0. What is b rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - c - 100 = 0, 2*c - 60 = -u - 2*u. Calculate the remainder when 94 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 105 = 30*v + 39. Solve -5*k = 5*p - 5 - 25, 3*p = -2*k + v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 12 - 3*r + r**3 - 2*r - 735*r**2 - 14 + 717*r**2 as w*r**2 + s*r**3 + b*r + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 greater than -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -29978351 smaller than -29978353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-6)*(-9)\/(-6)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -23\/6. Let d = 5.04 + -0.04. Which is the biggest value? (a) d (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 111800 and 21521500?\nAnswer: 43043000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*d - 6*d = -1008 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -21. Let w = u - -18. Let j = -0.09 - -0.19. What is the third smallest value in w, j, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -6)*1\/1. Suppose -10 = -5*n + 5*h + 10, -u*h - 12 = 0. Let o(p) = -6*p - n - 2*p + 4*p. Give o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 2\/5, -0.3, -3\/8, -0.1 in descending order.\nAnswer: 2\/5, -0.08, -0.1, -0.3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 5)*115\/(-25). Let i = -21 + o. Suppose 0 = -l - 3*k + 46, 0 = 2*l - i*k + 12 - 72. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(396) - sqrt(396)*-1)*1 + 1 + (-2 + sqrt(396)*-1 - sqrt(396)) + 2)**2.\nAnswer: 168*sqrt(11) + 77617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 12 + 3*r + 2*r - 5*r. Let z be h(-13). List the prime factors of (-1 + 0 - -10)*z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 11*f**2 - 24*f**2)*(-4*f**2 + f**2 + 6*f**2).\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7831.264ml?\nAnswer: 7.831264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -68\/19?\nAnswer: -68\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 22*t**3 + 53*t**2 - 22*t - 4. Let d(n) = 50*n**3 + 105*n**2 - 50*n - 9. Calculate -4*d(s) + 9*f(s).\nAnswer: -2*s**3 + 57*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (7 - 4 - -2) - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 o when four letters picked without replacement from {j: 7, w: 5, o: 7}?\nAnswer: 245\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 94, 208, 418, 754?\n\"Answer: 5*a**3 + 3*a**2 + 4*a + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*s**3 + 94*s**3 + 38*s**3)*(26*s**2 - 54*s**2 + 30*s**2).\nAnswer: 400*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181 + -173?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 49933338828603?\nAnswer: 49933338828600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 653 divide 78627507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11313, 9532, 7751, 5970, 4189, 2408?\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37839 divided by 12613?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -10*x**2 - 23796656*x + 9518664 = 0.\nAnswer: -2379666, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t - 6. Let x(l) = 3 + l - 2 + 0*l - 2*l. Let j(h) = -b(h) - 6*x(h). Let v(w) be the third derivative of -w**4\/24 - w**2. Give j(v(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(-17) - (2 - (-14)\/(-3)). Factor y*s**2 - 16\/3*s + 32\/3.\nAnswer: 2*(s - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4500 + 5184 = 6*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/(-9))\/(-13))\/(6*(-5)\/(-405))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 2111121?\nAnswer: 2111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 1418 = 1298 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3271.08 + 3202. Round i to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-35)\/175 - (-4)\/(-5). Let u be (-1)\/((-2)\/2) + 1. Let m be (-13)\/15 - u\/(-3). Does m = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156268511 - 156268511 + 63*r**2 - 15*r**2.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3005 = -2*p + 2*u - 2993, -4*p + 116*u = -2*p - 354 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 205*s**2 - 109*s - 116. Give d(-103).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.88 - -0.28. Let t = b - 0.4. What is the closest to 0.1 in t, 1\/11, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-15))\/((-2)\/(-18)). What is the second derivative of s*o - 2*o - 4*o**3 - 3*o + 9*o**3 wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 3*a - 125 = 0, 4*o - 267 + 165 = 2*a for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 o, and 1 g when three letters picked without replacement from enieieeonieeg?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6588, -5481, -4374?\n\"Answer: 1107*l - 7695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = -2*z, -5*k + z + 0*z + 25 = 0. Suppose 5*q - 25 = 5*o, 0 = k*q + 12*o - 8*o + 4. Solve 0 = 5*n + 3*x + 5, -q*n - x - 16 = 3*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2226*m - 31221. Determine k(-14).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**4 - 7*o**3 - 21*o**2 - 28*o - 4. Let b(h) = 11*h**4 + 22*h**3 + 64*h**2 + 82*h + 13. Let k(p) = 3*b(p) + 8*i(p). Factor k(n).\nAnswer: (n + 1)**3*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**4\/2 + 537*m**3 + 1080*m**2 = 0.\nAnswer: -2, 0, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and (-249)\/135 + 2 - -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29*3411154\nAnswer: -98923466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnomomamaauoaajaa. What is prob of picking 1 j, 2 o, and 1 u?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/9 <= 0.39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8316 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000214354 rounded to seven decimal places?\nAnswer: -0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 42 - 12. Let d be (-4)\/1 - -4 - -6. Let q = f - d. Solve 2*w + 3*h = 3 - 6, q = 3*w - 5*h + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + 2.3. Let s(d) = -d - 5. Let q be s(0). Which is the nearest to -1? (a) f (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12*x + 20. Let j be -1*(8 - (27 + 1)). Let v(n) = -n + 1. What is j*v(s) - m(s)?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1598696 divided by 44.\nAnswer: 36334","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is (-23418)\/31224*((-4 - 1) + 1)\/(-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.087, -3, 2\/99, -6\/13, -3\/4?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-102)\/(-15) + (42\/(-15) - -3). Suppose -2*y = -v*y + 30895. Let t = y + -36955\/6. Find the common denominator of t and -49\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.569 + -0.079. Let v = b + -0.09. Put -7, v, 2\/9 in decreasing order.\nAnswer: v, 2\/9, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:34 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407487354053097381.69999883 + -407487356989147518. Let j = -2936050161 - i. Let w = j - -24.7. Round w to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2350 + -1255. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 555, 1237, 2521, 4599, 7663, 11905, 17517?\nAnswer: 24691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 525482 and -38290.4777?\nAnswer: 563772.4777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498830.\nAnswer: 2, 5, 83, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u**5\/7 - 52*u**4\/7 + 12*u**3 - 8*u**2\/7 - 32*u\/7 = 0.\nAnswer: -1\/2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*h + 556073 = 556034, 4*w + 5*h = -33 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/198 and -69\/14?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725 + 380 + 344 - 932*s.\nAnswer: -932*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -14*q - 252. Let k be -1*(-104 + (-4)\/2). Let d = q + k. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -786648*s**4 + 34*s**3 + s**2 - 2991824*s + 5 wrt s.\nAnswer: -18879552*s + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 245*x**4 + 4*x**3 - 4*x**2 - 4*x - 646. Let q(b) = 246*b**4 + 5*b**3 - 5*b**2 - 4*b - 646. Let y(c) = -5*h(c) + 4*q(c). Differentiate y(o) wrt o.\nAnswer: -964*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364813 is divided by 217?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -364203*s - 2549416. Give a(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 427 divided by -2977?\nAnswer: -427\/2977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 166109 and 257226?\nAnswer: 993664038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 7?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9703 and 304862.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s = 2. Let n be -1*s*2\/(-2). Let i be 2\/(-5) + n\/1. Which is the smallest value? (a) 1\/5 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259548\/19 - (-1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14052 is divided by 2966.\nAnswer: 2188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -14 (b) 2.5 (c) -0.676 (d) 0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*p + 3*p. Let n(u) = 2 - 2*u - u - 3. What is the least common multiple of n(-3) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13411135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13590 in 1\/4, -5, 0.16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 780*a - 208. Let g(r) = -11*r + 3. Give 143*g(m) + 2*i(m).\nAnswer: -13*m + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -982*t**2 + 127. Let h(q) = -9*q**2. What is n(h(v))?\nAnswer: -79542*v**4 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3598126689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 0*s**4 + 3*s**4 + (-3 + 2 + 3)*(s**4 + 3*s**2 - 3*s**2) + 18755*s**3 - 18755*s**3 + 236*s**4.\nAnswer: 239*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142701 and 13494?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5744617.\nAnswer: 53, 283, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4300*i*s**3*t**3 + 443*i*s*t**3 - 2*s**3 - 1404*s**2*t**3 + s*t**3 + 2*t**3 - 68 with respect to i.\nAnswer: 4300*s**3*t**3 + 443*s*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.736 millilitres to litres.\nAnswer: 0.177736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18990538*w**3 + 24936317*w wrt w.\nAnswer: 113943228*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 227. Suppose 4*k + 2*j - d = -2*j, 88 = 5*k - j. What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 45. Let t = 4 + -6. What is the second smallest value in t, -5, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4854 - 2428 - 2411 = -3*q - 5*i, 3*q = -2*i - 8 - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5002 and -56.\nAnswer: -280112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1479001677 + 1.1479. What is p rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34750 and 4?\nAnswer: 34754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (114\/76)\/((-42)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017011459 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 22*t**3 - 141654*t**2 - 14703760*t - 2668728 = 0.\nAnswer: -102, -2\/11, 6541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + m - 7 + m - m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -2121*g**2\/2 + 4703*g + 4650. Find the first derivative of r(v) wrt v.\nAnswer: -2121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(0 + q + 0) + (q - q + q)*(29 - 67 + 5))*(-5*q + q + 2*q).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*x + 8 = 0, 4*h - h + 2*x = 64. Let c be h*1*(-1082)\/(-30). Let a = 103537\/160 - c. Find the common denominator of -61\/12 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36715 (base 9) to base 11\nAnswer: -17569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 63 - 248 + 59 - 4*k + 93. Let r(f) = -2*f - 17. Calculate -5*r(u) + 3*z(u).\nAnswer: -2*u - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 38*r**2 - 90*r + 126.\nAnswer: 2*(r - 21)*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -1, 1, -0.19, 0.24, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56 + 55)*(-1 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - h = -6 + 5, 0 = 3*r - h - 1. Solve 3*n - 7 = -2*m, -r + 3 = -3*m - 2*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 4*h + 350. Solve 0 = 13*g - 12*g + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 333*u**2 - 255*u**2 - 196*u**2.\nAnswer: -784*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -40ae8d?\nAnswer: -40ae95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -29. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**4 + f**2. Let w(x) = 31*x**4 + 2*x**2 + 40*x. Let j(n) = 2*v(n) - w(n). What is the second derivative of j(u) wrt u?\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 6 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:41 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 17.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*a - 7. Let z(g) be the first derivative of -63 - 2*g**3 + 2*g**2 + 56 - a*g**2 - 4*g. What is the derivative of z(k) wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 13 = 4*w + 3*s, 24 = 2*w + 4*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9220644617 and 0.2?\nAnswer: 9220644616.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -5*p**4\/12 + 2*p**2. Let j(w) = 6*w**2 + 7. Let d(b) = -27*b**2 - 33. Let a(m) = -7*d(m) - 33*j(m). Calculate r(a(s)).\nAnswer: 90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-34)*a)\/a**(-4\/11))**(-4) assuming a is positive.\nAnswer: a**(1436\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - z - 2*z - 6*z + 2*z + 6*z - 3 + (1 - 4 + 4)*(0 + 0 + z) + 6 - 6 - 31*z to y + m*z and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97778 is divided by 589.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*m = -2*d - 1168, 2*d = -5*m + 619. Suppose -20*y = -17*y - d. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 73*u - 68*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + h - 16. Let b be k(-5). Let c(z) be the second derivative of -3\/2*z**2 - 1\/8*z**4 - 3\/4*z**3 + b*z + 0. Determine s, given that c(s) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 1202*b**2 - 587*b - 22. Let t(a) = -901*a**2 + 440*a + 17. Let s(g) = 9*t(g) + 7*v(g). What is the second derivative of s(n) wrt n?\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i - 5 = 44*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 851187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1890452?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 15*a**3 - a. Let t be y(-1). Let p be 7\/2 - (t\/4 - -5). Solve -4*j + 20 = 5*i, 20 = -5*j + 3*i + p*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 15*f**2\/2 + 2*f - 289. Give d(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -53 - 0 - (8738 + -8717)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 10*d**3\/3 + 13*d**2\/2 - 9*d - 120. Let i be k(9). What is the highest common divisor of 34 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*i + b - 19, 5*i - 4133553*b + 105 = -4133558*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -0.09737966.\nAnswer: 0.04737966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 147*k**2 - 10*k + 3. Let n(f) = f**2 + f. Let a(i) = 6*n(i) + t(i). Let o = 1223 + -1227. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 36378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -340266.16276 and 5?\nAnswer: 340271.16276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 - 3*g**4 + 48*g**3 + 48*g**2 = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 k, and 1 c when four letters picked without replacement from ckkdkchokhkchh.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 - 502\/5. Suppose -2*g + 5*g = i - 40, -2*i - 5*g + 36 = 0. Let z be 6\/70 + (-64)\/i + 2. Which is the third smallest value? (a) 2\/9 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 519*t - 522*t = -9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 482 + -272. Suppose 0 = -2*u - 5*r + l, 4*u - 450 = 2*r + 3*r. Calculate the remainder when u is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1535803 + 190*a**3 + 328*a**3 + 2*a**2 + 767901 + 767902.\nAnswer: 518*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m*m\/((m\/(m\/(m\/(((m\/(m\/((m\/(m**(-2)*m))\/m)))\/m*m)\/m))))\/m))\/((m**20*m)\/(m**(-4\/21)*m)) assuming m is positive.\nAnswer: m**(-319\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 50. Determine u(0).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1390.4 - 1389.9. What is the second biggest value in 1\/454, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 24 = 4*w, -5*w - 2*q = -q + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 7*j - 8. Let k be c(5). Let o(x) be the third derivative of 7\/6*x**3 + 0*x + 3*x**k - 1\/24*x**4 + 0. Give o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*f**5 - 465*f**3 + 465*f**3 + (-f + 3*f + 0*f)*(3*f**4 - 6*f**2 + 6*f**2) - f**5 - f**5 + f**5 + 2*f**5 + 0*f**5 + f**5.\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/9 - 1546*j**3\/9 + 304102*j**2\/9 - 2053646*j\/9 = 0. What is j?\nAnswer: 0, 7, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 3\/2, -2\/3, 2, 0.017 in descending order.\nAnswer: 2, 3\/2, 0.017, -2\/3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4*o + 2 = 0, 5*v - 3*o + 33 - 43 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3)\/c**(-20))\/(c**19*c**(-20\/9)))**17 assuming c is positive.\nAnswer: c**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 9*f**8\/2240 - f**7\/2520 + f**4\/4 + 6*f. Let r(t) be the third derivative of q(t). Does 13 divide r(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.01347 nanometers in micrometers?\nAnswer: 0.03001347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(sqrt(22)\/sqrt(2)) - sqrt(7)) + sqrt(189)\/sqrt(3))**2 + -6*sqrt(70)\/(sqrt(10) + sqrt(40)\/sqrt(4)).\nAnswer: -3*sqrt(7) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1916 is divided by 274.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -995 (b) 4\/5 (c) 101 (d) -0.5 (e) 1 (f) -74 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*g - 0 + 3, g - 15 = -4*t. Suppose -5*u + 49 = w - t*u, 5*w + 2*u = 229. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 2. Let m(p) be the third derivative of -p**6\/120 + 2*p**5\/15 + 5*p**3\/3 - 4*p**2. Let c be m(8). Let l(b) = -b - 1. Calculate c*l(z) - 4*i(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26026524 a multiple of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/9)*g)**(-13))**27 assuming g is positive.\nAnswer: g**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (28 + 3 - 57).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 196075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 2*z**2 + 2*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -6 - 12 - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11646 is divided by 11577.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2 = -3*a + 18, -k + a + 4 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v - 11*v - 8. Determine c, given that -6\/7*c**3 - 2\/7*c**v + 0*c + 0 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/8)*j)**38\/(j**(1\/3)*j**(-16)\/j*j))**(19\/6) assuming j is positive.\nAnswer: j**(13319\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443\/4 + -111. What is the closest to 0.1 in 4\/5, -2\/17, -1\/2, t?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/10 - 1313*a**4\/10 + 69687*a**3\/5 + 477514*a**2\/5 - 1031412*a\/5 - 394272\/5 = 0 for a.\nAnswer: -8, -1\/3, 2, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 - -69. Calculate the highest common divisor of x and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003130330 (base 4) to base 2.\nAnswer: 1000011011100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.521 in 0.1, 3, 2\/15, -2\/15, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 - 7*x**2 - 2*x**2)*(-1 - 3 + 1)*(-3*x**2 + x**2 + 3*x**2) to j + v*x**2 + p*x**3 + r*x**4 + w*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*q + 13, 0 = 4*q + 4*s - s - 5. What is the remainder when 4 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:41 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-5))\/((-16)\/(-80)). Let t = d - -34. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 742*z - 91424. Determine i(-156).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-340)\/(-204))\/(50\/(-4)))\/((-27)\/(-15)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g + 1. Let i(d) = -474*d**3 + 275*d + 6. Let r(y) = i(y) - 5*v(y). Find the second derivative of r(x) wrt x.\nAnswer: -2874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584*f + 59280 + 9932 = -232*f - 1925*f for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56480 and 2?\nAnswer: 56480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6986463.\nAnswer: 3, 11, 211711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2786546 + 16*u**3 + 0*u - 41*u**3 - 2786539 + 3*u.\nAnswer: -25*u**3 + 3*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.904 - 58.206. Round w to 1 dp.\nAnswer: -35.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + d**4 - 2*d**4 + (5 + 1 - 3)*(d**4 - 2*d**4 - d**4) + (-1 + 1 - 2*d**2)*(2*d**2 - 2*d**2 - d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7300)\/(-95) + 5712\/36176?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/46 and -97\/278?\nAnswer: 6394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*b = -0*g + 14, 2*g = -5*b - 29. Put g, -1, 0 in increasing order.\nAnswer: g, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 803872818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 2*o**2 + 10*o - 29. What is the tens digit of p(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005758 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4692*d**4 + 19949*d**3 + 18734*d**2 - 5897*d + 10 = 0.\nAnswer: -1, 2\/1173, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**3 + 115965*v**2 + 11413590*v - 23291000 = 0.\nAnswer: -100, 2, 23291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 26*p + 23*p - 51*p. Let y(w) = 6*w**2. Give t(y(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10249*i = -10273*i - 432 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -8. Let j = 35 - 31. What is the nearest to -13 in -1\/3, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 2*g - 2*u - 2*u, g = 5*u + 121. Calculate the greatest common divisor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74023 - 6218087\/84. What is the common denominator of -97\/84 and x?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.08569 and -311?\nAnswer: 310.91431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18505675 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -554 and -348882\/631 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -17) + (3 + 5 - 13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1076.069063 to the nearest integer.\nAnswer: -1076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 - 4961*h**2\/3 - 49721*h\/3 + 18227 = 0.\nAnswer: -11, 1, 4971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -157 - -2199\/14. Let y = -47 + 46.6. Which is the smallest value? (a) y (b) n (c) -3\/5 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -42.041. Let z = c - 0.0487. What is z rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 - 5*k**2 + 17*k**2 - 11*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 - 144*d - 141 = 0.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-2)\/4*-2. Let t be (-2)\/(-8) + 5\/c. Is 1\/t - -1 - -79 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -58. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -79*o - 166. Determine a(-11).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11633796 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -4, 8 in descending order.\nAnswer: 8, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 + -22978.83?\nAnswer: -23295.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykfw when four letters picked without replacement from ykffkywfyfkkykwwfff?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/(80\/200)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/2*234\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149735, 150064, 150381, 150680, 150955, 151200, 151409, 151576?\nAnswer: 151695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -50. Suppose -5*n - 3*x = x - 30, -2*x = -n - h. Suppose 2*i - 32 = -n. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (-1 + sqrt(448) + 5))*-6*-1)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2910724 by -153196.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:18 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 72 = -0*r. Suppose -2*u - 42 = 2*w, 0 = -4*w + w - 2*u - 58. Let x = r + w. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (71 - 55) + 23*1. Solve 23*z - l*z = -64 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**2 - 3*v. Let c(z) = 36*z**2 + 28*z. Determine 6*c(q) + 56*f(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 489913 to the power of 1\/2, to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 7. Let n = -10 + 10. Let u = -6 + n. Let x(i) be the third derivative of -i**4\/6 - 13*i**3\/6 - i**2. Give u*x(o) + 11*p(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1 + 3*k - k + 5*k**2 + 4*k. Let c(y) = y**2. Let z = 692 + -688. Let x(w) = z*c(w) - n(w). What is x(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.037.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23.37507 or 1?\nAnswer: -23.37507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**2 + 16*v + 9. Let z be b(6). Round z to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19735\/6 - 3289. What is the fourth smallest value in -1, -1.98, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4171*b + 4230*b = 1121 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - g**2 - 113 + 0*g**2.\nAnswer: -g**2 - 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -3.9. What is d rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 14*i - 3*i. Let s be 17 - 10 - (i - 1). Differentiate 5*u**2 - s*u**2 + 2 + 14 + 17*u**3 wrt u.\nAnswer: 51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 27*q + 10. Let n be g(4). Suppose n = 2*f - f. Is f a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + 57\/351. Suppose 18*s = 14*s + 5*k, 0 = k. Which is bigger: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -296, -300, -306, -314?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t = 19*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11237311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 47*p**2 + 84*p - 267. Calculate a(-45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 44267897.\nAnswer: -2\/44267897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 27*t = 23*t, 3*t + 18 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 608000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 4*n + 3*c - 7*c, -2*c = 10. Suppose 2*d = 3*t - 4459 + n, 0 = 4*t - 5*d - 5693. What is the common denominator of 19\/4 and ((-1)\/(-33))\/((-12)\/t)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-41511)\/(-15) - 66\/165 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -794440776 > -794440778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = 3*j - 391. Suppose j*s = 21*s + 8. Calculate the smallest common multiple of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -21. Let b = 48 + -31. Let g = -12 + b. What is the least common multiple of r and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*s = -158*s - 30. Suppose 0*c + c = 2. Suppose s*b - 8 = c*b. Solve -f + 0*f = 5*q + b, -4*f - 8 = -2*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, j: 2, f: 8, i: 3, m: 2}. Give prob of picking 1 m and 1 e.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ec + 63?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 + 4*o - 1. Let w be m(-4). Suppose -2*r = -w + 5. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = 8*w. Put -5, 9, w, -1\/7 in decreasing order.\nAnswer: 9, w, -1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbbibiibbiib.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 363.1266ml?\nAnswer: 0.3631266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 324473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2858\/11 - 260. Let k = -187\/35 + 36\/7. Sort -4, k, s in decreasing order.\nAnswer: s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -u + 3. Put -17, 0, u, -1 in ascending order.\nAnswer: -17, u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 y when four letters picked without replacement from nacoycyooayyyyooyana.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 - 29*x - 13. Let c be i(-9). Sort c, 0, -12, 4.\nAnswer: -12, 0, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 994641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413e82 (base 15) to base 10.\nAnswer: -3101522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3723 - 3627. Solve -7*u = -61 + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 3 (b) 4 (c) -270 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 16*a**2 - 16*a - 19. Let v be w(23). Let b = 11459 + v. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 116\/24 + 3\/18. Suppose -16 = -w + f. Is 8 a factor of 2\/(-6) + 175\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 22*b**2 - 38*b - 36. Let z be a(20). Solve 0 = -5*m - 4*q - 16, 0 = z*m + 5*q - 1 + 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-32 - -31) + (2 - -12)) - 6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 689.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 5135 + 10390 - 5211 to g + q*k and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2819997, 2819994, 2819991, 2819988, 2819985?\nAnswer: 2819982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21006121, -21006117, -21006111, -21006103, -21006093, -21006081, -21006067?\nAnswer: -21006051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.61 + -2.61. Which is the nearest to q? (a) -0.4 (b) 0.095 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -16 + (-11 + 7 - -5 - 8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 47?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 - g**4\/24 - g**3\/6 - 2*g**2. Let y(z) = -z**3 - 2*z**2. Let w(v) = -3*d(v) - y(v). Give w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2214619 is divided by 4712.\nAnswer: 4691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(162) + sqrt(162)*-6 + 3)*-4 - (sqrt(162) + sqrt(162) + 4*sqrt(162)*-2)*1)*-6)**2.\nAnswer: -7278336*sqrt(2) + 142114176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 24\/(-3)*1\/(-15) and -149\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 + 6*a + 10. Let m be y(-6). Suppose m*r = 17*r + 448. Let z = r - -115. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*s = 311*s + 210328800. What is s rounded to the nearest one hundred thousand?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2528)\/(-88) - 6)*(-2172)\/10. Let l = b + 4944. Is 9 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/70 + (-2)\/(30\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123354 and 19224?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1232 (base 6) to base 4.\nAnswer: 10310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -193 + 190. Which is the biggest value? (a) f (b) -5 (c) 2\/7 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260282270.\nAnswer: 2, 5, 67, 388481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-seven quarters of a meter?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 505 + 2329 = 0. Suppose 0 = 4*g, -5*w + w = 4*g - j. What is the greatest common factor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*s + 44 = 26, 16 = 2*m + 8*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/106 and (-132)\/15*(-7)\/(-28)?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7 + -17 - 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (931392\/(-543132))\/(-28) - 5\/((-470)\/(-4)).\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1673*c + 1581*c + 1423 - 135 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x**3 - 1788*x**2 - 183*x + 461. What is v(-94)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -5*b**8\/672 + 2*b**7\/105 + 199*b**6\/240 + 209*b**5\/60 + 37*b**4\/6 + 16*b**3\/3 + 780*b**2. Solve l(r) = 0 for r.\nAnswer: -4, -1, -2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 1007*q**3\/6 + 62*q**2 - 666*q. Differentiate v(r) with respect to r.\nAnswer: 1007","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(833) + sqrt(833) + (sqrt(833)*-2 + sqrt(833) + -4 - sqrt(833)) - sqrt(833) - 5*(sqrt(833) + sqrt(833) + 3 + sqrt(833)))**2.\nAnswer: 4256*sqrt(17) + 213608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g + 6. Solve 2*d + 0 = -g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 + -59. Let g = 133 + f. Put 3, -2, -0.35, g in increasing order.\nAnswer: g, -2, -0.35, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4258, -4257, -4256, -4255, -4254?\n\"Answer: c - 4259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990.955 grams in tonnes?\nAnswer: 0.001990955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1279 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*g - 42, 6*t - g + 56 = 2*t. Let z = t + 14. What are the prime factors of 4 + 5 - (1 - z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321 + -10312100231?\nAnswer: -10312030310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8028 + 2*p - 8028.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g + 1. Let o(b) = 2*b - b + 6*b + 1. Let k(l) = 3*o(l) - 4*y(l). Does 10 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**2 - 28*c**2 + 12*c**2 + 3. Let y be r(0). Sort y, 5, -0.4 in decreasing order.\nAnswer: 5, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24210013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 7*p**2 + p - 54. Give i(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 18*a = 8. Suppose 3*k = a*i - 3 + 31, 5*i = 25. Calculate the highest common divisor of 144 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 + 6) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) -0.1 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/4 + 1)*4. Let q(o) be the second derivative of -o**5\/60 + o**4\/8 + 7*o**3\/6 - o**2 - 2*o. Let k(s) be the first derivative of q(s). Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 5) to base 16.\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-2 + sqrt(272) + sqrt(272) + 5 + sqrt(272) + sqrt(272))*1*5)**2.\nAnswer: 48000*sqrt(17) + 2180500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 24 = 2*m. What are the prime factors of m\/(-2) + 1 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5246726.\nAnswer: 2, 211, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*q**3*y**3 - 2*q**3*y**2 - 46873*q**2*y**2 + 4*q**2 - 2*q*y**3 - 46469*y**3 + y wrt y.\nAnswer: -204*q**3 - 12*q - 278814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 812\/167 - 2082139\/1336. Let z = -1545 - x. Calculate the common denominator of -39\/110 and z.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*j - 4*r, 2*j - 4*r - 16 = 0. Let g be j\/(-4)*(34 - 16). Let y be (-21)\/(-9) + 6\/g. Let p(b) = b**3 - 2*b**2 - 4*b. Determine p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72, -141, -202, -249, -276?\n\"Answer: g**3 - 2*g**2 - 70*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/10 and -89\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88818*u + 45327 = -88297*u for u.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -71*n - 41. Let v be m(-28). Let o = -1384 + v. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*n**4\/4 - 72*n**3 - 545*n**2\/4 - 49*n - 5.\nAnswer: (n - 5)*(n + 1)*(9*n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 9. Let y(u) be the first derivative of 251*u**4\/2 - u**3\/3 - 6*u**2 - 8*u - 250. Let g be y(h). Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + 5*d**2\/2 + 11*d - 2. Let v be y(6). Solve -2*g + v = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/7 (b) -0.3 (c) 1\/2 (d) 0.0575 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 46*b + 222. Let k be c(42). Let j(g) = 35*g - 357. What is the units digit of j(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -201, -243, -311, -411, -549, -731?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 + -20. Let h = 299 - 289. Calculate the greatest common factor of h and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8733248 divided by -976?\nAnswer: 8948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1) + -3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p = -3*k - 5, 9 = -5*p - 4*k. List the prime factors of 2\/((0 + p)\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142066 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - w - 48, w + 4*w = m - 42. Let q(r) = 2*r**2 + 2*r - 2. What is the least common multiple of m and q(-3)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -5*u - 3*f - 41, 0 = 5*u - 5*f - 130. Suppose 4*n + 144 = x, -2*n + 338 = x + x. What is the remainder when x is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 10:48 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d + 4. Let k(g) = g - 4*g + 2*g - 1. Let o(l) = 3*l**3 - 5*l**2 + 7*l - 3. Let f be o(1). Give f*s(a) + 6*k(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5984\/(-595) - -1) + 18\/2.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as 30\/22931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38, 75, 146, 269, 462, 743, 1130, 1641?\n\"Answer: 3*s**3 - s**2 + 19*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.8, -31, -2\/9, 5, 2 in ascending order.\nAnswer: -31, -2\/9, 2, 5, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(912))\/(sqrt(192)\/sqrt(4)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130.00091 - -130. What is g rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -9 - (-2 + 0)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1181, 2271, 3361, 4451?\nAnswer: 5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 43*d**6\/6 + 37*d**3\/3 + 92. What is the third derivative of u(x) wrt x?\nAnswer: 2580*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t - 18*t = -77 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110205\/(-744) - -148)*6\/5.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-185)\/(-4))\/(6\/48). Is ((-1012)\/110)\/((-4)\/l - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 49. What is the first derivative of -b*f - 9*f**3 + 61*f - 5 wrt f?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a7 + -4?\nAnswer: 1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 732 and 4465?\nAnswer: 3268380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 426374.8ng?\nAnswer: 0.4263748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 9:55 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*i - 38*i + 268*i - 110*i + 180*i to h + g*i and give g.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 3. Let l = 1007 - 1007. Which is the second smallest value? (a) 2\/9 (b) o (c) l (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31502?\nAnswer: 2, 19, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j - 9*j - 11*j - 11*j**4 wrt j?\nAnswer: -132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13374 = 2*p - 5*k, -31*p + 28*p + 3*k = -20025. Calculate the least common multiple of 6 and p.\nAnswer: 40002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 7*u + 66. Let r(c) = 3*c + 40. Let b(j) = 6*h(j) - 13*r(j). Let v(x) = x**2. What is b(v(y))?\nAnswer: 3*y**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duuz when four letters picked without replacement from uuuuzqzd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:54 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154840 = 4*n + 4*k, 193574 = 2091*n - 2086*n + 2*k. List the prime factors of n.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4495 - 678\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368359189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 5*a - 30, 2*f - 4*f = -5*a + 5. Suppose 0 = 2*s - q - 8, -4*s + 9 - f = -5*q. What is the highest common factor of s and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + 1 - (1 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 217494*y + 870008.\nAnswer: -2*(y - 4)*(y + 108751)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - 2*r)*(-2*r + 2*r - r + (-3 + 4 + 1)*(2*r - 7*r + 3*r) + 4*r - 14*r + 8*r).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31815634.\nAnswer: 2, 37, 191, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/28 and 67\/11552.\nAnswer: 80864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*d - 31*d + 47110. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50073325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 552687015 to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2676*d**3 + 2674*d**3 - 2 + 5.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(19) + 1)**2 + 5).\nAnswer: -100 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, y: 2, h: 1, m: 1, g: 1}. What is prob of sequence gm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 83191646?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 + 2 = 9*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26 + -249.26. Let l = f + 253. Let v be 2\/8*8\/9. Which is the third biggest value? (a) l (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1100) + 1) + (2*sqrt(539) + sqrt(539) - sqrt(539)) + sqrt(44)\/sqrt(36))**2.\nAnswer: 68*sqrt(11)\/3 + 3215\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - ((-4 - -3) + 1 + -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/6 + 2\/6. Let z = -10.52 + 10.52. Which is the closest to z? (a) j (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -6. Let d = p + 8. Calculate the least common multiple of 2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7489550578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8688892 + 1211108. What is o rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 8*v**2 - 127*v - 13. Let k be l(8). Sort -3, k, 99, -4 in decreasing order.\nAnswer: 99, -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 6:33 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 140.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -9*r + 1. Suppose -6 = 4*y + r, 5*q - y - 232 = 0. Calculate the remainder when 134 is divided by q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -31, 19.21 in ascending order.\nAnswer: -31, -5, 19.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**2 + 45*r - 136. Determine u(-5).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -6. Suppose 4*m - x = -d, -d = -2*m + d + 10. Suppose -4*i - 66 = -2*q, -3*q - m*q - 5*i = -195. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/150 and 139\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 8*h + 24. Let z be (-82)\/(-2) + (7 - 3). Let r = z - 40. What is the remainder when 26 is divided by i(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*q - 616*q + 895*q - 147*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5206482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 13. Let t = j - -5. Suppose -t*v + 5*q - 25 = 2*v, 3*q = 5*v + 35. Which is smaller: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -58. Which is the nearest to -1\/2? (a) -3 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k + 31*k + 48*k.\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, w: 1, n: 1}. What is prob of picking 1 n, 1 d, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -5*m**6\/3 - 3*m**5\/5 - 2*m**3\/3 - m**2\/2 + 120. What is the third derivative of w(g) wrt g?\nAnswer: -600*g**2 - 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 4 (c) 3\/361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -18377\/11497 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 18 = -3*i, -3*l - i + 77 = 99 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 26831.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -39*s**2 + 4*s + 1. Let l(h) = 7*h + 9. What is l(u(r))?\nAnswer: -273*r**2 + 28*r + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17664 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (-52)\/(-8). Let v be 725\/(-2) + 3\/u. Let s = 3713\/10 + v. What is the common denominator of -73\/10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 = -5*j + 3, -4*z - 5*j = -28. Differentiate 1000*c**2 + 975*c**z - 1903*c**2 - 133 wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + 4*d + 2. Let t = 98 + 103. Let s = t + -196. What is v(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + z + 448, -4*z = -z - 6. Suppose 5*s = -t + 2*t - w, 4*t - 600 = s. Round t to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Suppose 5*p = 8*p - 9. What is the third biggest value in -0.2, k, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -858. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by 33?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {p: 7, c: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(75) + (1*sqrt(75) - sqrt(75)))*-4)**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18 from -0.673.\nAnswer: -18.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 + 111*y**2 + 529*y - 22. What is q(-15)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 47, 67, 85, 101, 115?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 2*s - 6*s**3 + s**2 + 2*s**3 - 2 to the form o*s + u*s**2 + i*s**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112545588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -14.\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.313 and -9397?\nAnswer: -2941.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1361337 is divided by 7920?\nAnswer: 7017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 + 3)*(-41*z + 6*z**2 + 41*z)*(-2 + 2*z + 2) to h*z**3 + f*z**2 + b*z + m and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 214110000 rounded to the nearest 1000000?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (391\/51 - 15)\/(11\/(-33)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, u: 1, m: 8}. What is prob of picking 3 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 - 136 + 9207*c**2 - 137 + 413 to a + t*c + s*c**2 and give s.\nAnswer: 9207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gva when three letters picked without replacement from {g: 1, a: 2, v: 1, e: 2, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169417?\nAnswer: 191, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 13*y**3 + y**2 - 2*y + 2. Determine i(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 + 3*v + 1. Suppose 10 = -5*g, -3*i = 4*g + 60 - 10. Let u = i + 18. Calculate the remainder when 49 is divided by q(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3)*6\/4. Let w be 2\/11 - 508\/572. Let i = -8\/13 - w. Which is greater: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111\/4 - -28. Let n = -56 + 56.6. Sort h, -5, n in descending order.\nAnswer: n, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72282 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -19*t**3\/6 + t**2\/2 + 10*t. Calculate the remainder when -10 - -11 - (-56)\/1 is divided by x(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.02798?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 2805*y**2 - 397575*y - 1167615.\nAnswer: -5*(y + 3)*(y + 279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.607584t to milligrams.\nAnswer: 9607584000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 628180.\nAnswer: 1\/314090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 884287929 from -5.\nAnswer: -884287934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4 times 0.128154?\nAnswer: -1.3328016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803602.\nAnswer: 2, 443, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrrryy. What is prob of sequence rry?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 1. Let w(r) = 7*r + 4 + 6 - r**2 - 3 - 1. Let y be w(9). What are the prime factors of u(y)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-21))\/(4\/6). Let p = 0.65 + -0.7. Let o = -1.05 - p. Which is the nearest to 2\/5? (a) o (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-77)\/2)\/(1 - (-9)\/(-6)). Round u to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 911604039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 + 14*a + 7. Let l be z(-4). Find the second derivative of -l*k + 32*k**2 + 2 + 2*k**3 - 2 - 75*k**2 wrt k.\nAnswer: 12*k - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 36*g**3 - 13*g**2 - 19*g. Let o(x) = 24*x**3 - 9*x**2 - 13*x. Give -7*o(w) + 5*y(w).\nAnswer: 12*w**3 - 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2766406 is divided by 189.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/11 and 2 + 9\/(-4) + 2191\/252.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from osessaawsmeo. What is prob of sequence oes?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 q when four letters picked without replacement from pppqppjqpjjqp.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 i when three letters picked without replacement from {i: 7, b: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(176) - (sqrt(176)*2 + sqrt(176)))*2 + -1*sqrt(176)*6 + sqrt(176))*1*-5)**2.\nAnswer: -720*sqrt(11) + 356404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((2 - 0) + 0 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -463717\/1183 or -392?\nAnswer: -463717\/1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g = 220. Suppose v = -v + g. What is the smallest common multiple of ((1 - 3)\/12)\/(10\/(-1080)) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 731?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-155 - -127) + (44 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2192, 153, -1 in decreasing order.\nAnswer: 153, -1, -2192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 61. Suppose -4*z - 56 = -4*h, 11 = 4*h - y*z - 53. Let g be 2\/12 - ((-69)\/h - 0). Solve -c = g - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -156*m**3\/7 - 50*m**2\/7 - 4*m\/7 = 0.\nAnswer: -1\/6, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and -13\/9064.\nAnswer: 27192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546400 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 2*h + 4*h - h**2. Let l(r) = 5*r**3 - 5*r**2 + 6*r + r**3 - 5*r**3 + 1. Determine -5*k(u) + l(u).\nAnswer: u**3 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95670?\nAnswer: 2, 3, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 + 3*i**3 - 19*i**2 + 24*i**2 - 2094*i + 6*i**2 - 8*i**2.\nAnswer: 3*i**3 - 2094*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 20*w + 16. Let v be (-26)\/(-169) + -54*(-1)\/(-13). Let d be q(v). Which is the nearest to d? (a) -1\/4 (b) -1 (c) -0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1427 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -5061285 (c) 0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93 - (-20 + -4)) + (-2 - (2 - -10)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 10*k**2 - 9*k. Calculate w(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153473543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -1 - (20 + -12)) + 0\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/2*(-2)\/(-102). Let v = i - -1\/17. Which is the smallest value? (a) 2\/5 (b) 1\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 14 = 3*x. Suppose 2 = j + x. What is the smallest common multiple of 10 and (-2 + -1 - j) + 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 15. Let i = -12 - -6. Suppose 0 = -m - 3*m + 60. Suppose 4 - m = d. Let t(r) = r + 8. Calculate d*t(g) + i*p(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41400638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 3*g**2 + g**2 + 4*g**3.\nAnswer: g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5342, -5408, -5476, -5546?\nAnswer: -5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -8. Let f = 60732 - 60688. Calculate the smallest common multiple of i and f.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 24 = 3*v - 5*b, -15 = 5*b. Suppose 4*u - v*u - 3*k - 44 = 0, 3*u - 5*k = 112. What is the greatest common factor of u and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 156511 = 2*z, -z = 51 - 49. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377381 equal to 377387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15566 and 123238?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of 276667*x**4\/8 + x**3\/6 + 2*x**2. Let q be b(-1). What is q rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695602 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7237, -14532, -21727, -28822, -35817, -42712, -49507?\n\"Answer: 50*n**2 - 7445*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**3\/3 + 11*z**2\/2 + 23*z - 2555. Give t(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, k: 1, s: 1, x: 1, h: 1}. Give prob of picking 1 x, 1 s, and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 215*r**2 + 57837*r + 518. Give k(-269).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*r + 6 = -284*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = -0. Suppose -w*b - 7 = -52. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 33\/104, 0.13, 2, -0.2, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 2)*(0*m**4 + 2*m**4 - 3*m**4) + 142*m**4 - 239*m**4 + 155*m**4 as k + a*m**3 + g*m**2 + h*m**4 + v*m and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 2*m**2 + 3*m + 2. Let c be p(-1). What is the fourth smallest value in -3, c, -1, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -336589831*q**2*x**4 - 2*q**2*x**3 - 67*q**2*x**2 + 231*q**2 + 3*x**2 - 42*x wrt x?\nAnswer: -8078155944*q**2*x - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 13*g**4\/12 - 7*g**3\/6 + 13*g**2\/2 - 3*g + 8. What is the units digit of h(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 - b**4\/8 - 7*b**3\/6 + 3*b**2. Let p be m(5). Suppose 0*y + 2*d = p*y - 15, -3*d = 0. Solve y = -2*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 13*x**3 + x**2 + 12*x**3 - 6*x**3. Calculate the smallest common multiple of a(1) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(130)*-2)\/(sqrt(80)\/sqrt(72)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 + 648 = -19*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464760 and 154920.\nAnswer: 464760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3277, 3269, 3261, 3253, 3245?\n\"Answer: -8*m + 3285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*5\/(-2))\/((-7)\/14). Is 199*6\/30*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5440.503 tonnes in nanograms?\nAnswer: 5440503000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260118493.\nAnswer: 3, 251124277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 2\/13, 3, -4, -0.6, -280, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.7466 to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000813 to 7 decimal places.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 8*r + 2. Let v be w(7). Suppose 0 = -3*n - 2*k - v, k - 2*k - 7 = 2*n. Let c(f) = -f**2 - 4*f + 1. Determine c(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -228 (b) -0.5 (c) -7026 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-18))\/(1\/(-9)). Let t be (4 + -5 - -4)\/j. Solve -p + 4 = t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 3380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/47 - -55\/188. Let h be 0 + 1 - (-2454)\/(-14). Let c = h - -174. What is the nearest to 2\/5 in -4, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 43. Let c = -16327 - -16338. Put -4, c, i, -1\/2 in increasing order.\nAnswer: -4, -1\/2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 175. Let c = -14 + l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*r**2 - r**2 - 26*r**2 in the form m*r**2 + c + y*r and give m.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -96 + 11 - 492*u**2 + 491*u**2. Let r(k) = 3*k. What is v(r(a))?\nAnswer: -9*a**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.385507 milliseconds in days?\nAnswer: 0.0000003053878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 36803.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(125) + -1) + -4.\nAnswer: -15*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 75\/45 - 140\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -256.8 + 286. Let c = h + -32. Round c to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a. Let z be r(2). Let w(t) = t**2 + 3*t - 8. Let l be w(-6). Suppose 153 = l*q - 7*q. What is the highest common divisor of z and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14935 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72604 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jxjxjxjxjxxjj.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times 1.34?\nAnswer: -44.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3938 divided by -3\nAnswer: 3938\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.59548217 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -5196\nAnswer: 5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12712859 to 3 decimal places.\nAnswer: 0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*z**4 + 1534*z**3 + 2121*z**2 - 592115089 with respect to z.\nAnswer: -28*z**3 + 4602*z**2 + 4242*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - -214413411?\nAnswer: 214414121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27436 or 27411?\nAnswer: 27411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -364 and -365 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/189547 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2694 divided by 8.\nAnswer: -1347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3555 - -3630. Calculate the highest common divisor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.458 + -1.458. Sort -2, 0.03, m, 4, 3.\nAnswer: -2, m, 0.03, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*n - 5*i + 3 = 0, 0 = 5*n - i + 9. List the prime factors of n\/5 + 108\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 2*d**2 - 2*d**2)*(13 - 13 + 2*d + 2*d**3) + (-2 + 2 + 15*d**3)*(3*d**2 - 5*d**2 + 3*d**2)*(3 + 0 + 2).\nAnswer: 71*d**5 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 6*p**2 + 23*p + 21. Give f(9).\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.924085286 to two decimal places.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -871*a - 33. Is h(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-79)\/2 + -2)\/(1\/(-2)). Let h = f - 81. Let u(z) be the first derivative of -2*z**2 - z - 21. Determine u(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104848917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, z: 1, s: 1}. Give prob of sequence cz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 169519 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2034, 1, 5, -18, 4, -3 in descending order.\nAnswer: 5, 4, 1, -3, -18, -2034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 7. Let c be 2*((-18)\/(-4) + -2). Let k(r) be the first derivative of -r**3 - 29*r - 167 + 61*r - 27*r. What is c*x(t) + 7*k(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 181580 + -24.\nAnswer: 181556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2, -5*u + 26 = -2*g - 3. Suppose 2*d - 3*v - 101 = 0, -4*d - 3*v + 5*v + 190 = 0. Let k = d - 43. Solve k = 4*s + 3*p, 0*s + u*s - 1 = -p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 269527253 or -3?\nAnswer: 269527253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 - -57. Which is the nearest to 0.1? (a) -0.1 (b) m (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(425)*1)**2*6 - -5*(((sqrt(425) + -2*sqrt(425))**2*-6 - sqrt(425)) + sqrt(425)).\nAnswer: -2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10 - b**3 - 1 + 0*b**3 - 2*b - 7*b**2. Let o be (18\/27)\/(6\/(-63)). What is the remainder when 66 is divided by n(o)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 31\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5 = 5*d, 6 + 4 = 2*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (9 - 18 - 6 - -6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2386 + 2.28. Let o = -10.1414 + x. Sort o, 2, 4, 1 in ascending order.\nAnswer: o, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/182589 and 127\/1781120?\nAnswer: 2687710080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, p: 1, u: 1}. What is prob of sequence pou?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-48))\/((-22)\/498) - 42\/(-77).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 336 (base 13) to base 14\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-12))\/1 + (-226)\/(-12). Let i be (8 + -3)*(0 - -1). Suppose -i + 41 = 2*u. What is the greatest common factor of u and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6453, -6347, -6239, -6129, -6017, -5903, -5787?\nAnswer: -5669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89455 rounded to 2 decimal places?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 1. Let a(f) = 9*f - 5. Let t(y) = -a(y) + 6*k(y). Let g be t(-2). Let d = 9 + g. Calculate the lowest common multiple of 16 and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -114, -135, -210, -363, -618, -999, -1530?\n\"Answer: -4*u**3 - 3*u**2 + 16*u - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s + 176. Let l be g(14). Solve 0 = -4*r + l, 3*x - r - 2 = -13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + z**2 - z**2 - 5*z**2. Let k(r) be the first derivative of -7*r**3\/3 - 213. Calculate g(k(w)).\nAnswer: -147*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 43777 - 17686 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/(-64)*-4*958\/(-4). Let k = s + 476. What is the nearest to -4 in k, -1, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - k**2 - 2*k - 4. Let o be i(3). Let m = o - 3. Sort -1\/6, 0, m in descending order.\nAnswer: m, 0, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + g**2 - g. Let a(l) = 29*l**3 - 12*l**2 + 10*l. Let k(n) = -2*a(n) - 22*t(n). What is the third derivative of k(i) wrt i?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10044\/504 + (-2)\/(-28). Suppose 3*k - 2*k - 3*k = 0. Solve k = 5*n - h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10119 + 39 = -315*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 50. Let j be ((-3128)\/(-12) - 1) + 6\/(-9). What is the greatest common factor of j and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -3*d, -5*d + 6 = -4*k. What is the first derivative of 2 - 2 + 24*j**3 + k - 17*j**3 wrt j?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-8) + (-21)\/28. Suppose x + z*x = -3. Which is smaller: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7910486 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 50. Suppose 1167 + 225 = v*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/2 + 354*z - 62658 = 0. What is z?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -25.5, -5\/11 in ascending order.\nAnswer: -40, -25.5, -5\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7514 and 57160154?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {n: 5, g: 6, h: 5, t: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 19*v**2 + 14*v - 22. Is l(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -25 in decreasing order.\nAnswer: 2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 + 9. Let d be s(0). Let y be -1*4 + d + -11. Let l = y + 20. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjijjjjjjjjiji. Give prob of sequence ji.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 526094, -2 in ascending order.\nAnswer: -2, 1, 526094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25096?\nAnswer: 2, 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -64664?\nAnswer: -1\/16166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*x + 96*x = 53550. Is x > -7506\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5\/2 - 84*j**4 + 3267*j**3\/2 - 12399*j**2 + 26976*j - 16128 = 0. Calculate j.\nAnswer: 1, 2, 16, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 2*t + 15. Suppose -t*d = -5*d + 50. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/((g**(2\/77)*g)\/g*g)*g**(1\/18)*g*g*g\/(g*g**5)*g**(1\/29) assuming g is positive.\nAnswer: g**(-77813\/40194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(200\/80).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -8 + 3*v + 0*v - 2*v + 6. Let d(h) = 6*h**2. Let w be d(-1). Let q(n) = -3*n + w - n + 0*n + 2*n. Determine -3*q(j) - 8*u(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15448 - 15414. Calculate the highest common factor of 833 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133.\nAnswer: 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37202760 divided by 27195?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**12)**(-48))**18 assuming k is positive.\nAnswer: k**(-10368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-18)*g*(g*g\/(g*g*(g\/(g**(1\/4)\/g))\/g*g))\/g assuming g is positive.\nAnswer: g**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**4*w**3 + 1414*r**4*w + 4*r**4 + 19209*r**2 + 2*r*w**2 + w**3 + 3*w wrt r.\nAnswer: 48*r*w**3 + 33936*r*w + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6746 and -4.\nAnswer: 6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/n**(3\/11)))\/n)\/n)\/n*n**(9\/5))\/(n**4\/n*n**(-1)) assuming n is positive.\nAnswer: n**(-161\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*o = -0*j + 40, 3*j - 31 = -4*o. What is the common denominator of 53\/4 and ((-77)\/j)\/(((-72)\/15)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(sqrt(11) + 1))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1022003422?\nAnswer: 1022003441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/((((v**(2\/45)\/v)\/v)\/v)\/v*v*v)*v**24 assuming v is positive.\nAnswer: v**(1258\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*j - 76*j - 4*l - 36 = 0, -j + 20 = -4*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*j - l + 9, -j + 5*l + 26 = 0. Suppose j + 7 = 4*i. Suppose -v - i*v + 48 = 5*m, 3*m + 3*v = 30. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 12. Let c be s(-14). Sort 2, c, 4 in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.04 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*h = -83*h + 19449. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - 3*r**5 - 2*r**3 + 0*r**5 + r**5 - 3*r**5 + 4*r**5 + (3*r**4 - 5*r**4 + r**4)*(-2*r + 3*r - 3*r).\nAnswer: r**5 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j + 4. Let q be a(-8). Let v = 534\/7 - q. Factor v + 6\/7*r + 4\/7*r**2.\nAnswer: 2*(r + 1)*(2*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117271371 to the power of 1\/2, to the nearest integer?\nAnswer: 46014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6.707673442?\nAnswer: -5.707673442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, l: 1, z: 1, d: 1, g: 1}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**5\/15 - 49*r**2\/2 - 32. Let t(j) be the second derivative of d(j). Let o(s) = -31*s**2. Calculate o(t(u)).\nAnswer: -496*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*y**4 + 865*y**3 - 461414*y**2?\nAnswer: -2328*y + 5190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23284149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.77469 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 17*l**2 + l - 12. Let t be w(17). Suppose -3*p - s + 75 = 0, -t*p + 50 = -3*p - 4*s. Calculate the remainder when 122 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 1. Let f = -6 - -2. Let l = -1 + f. Which is the biggest value? (a) l (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (16 + -5 + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 7*t - 11. Let k be m(4). Let w be (-3 - (-3 + k) - -1) + 3. Solve 14 + 1 = -w*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5401770 divided by -2.\nAnswer: -2700885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h + 4 + 0 + 0*h**2 - 9*h. Let d be b(7). Which is greater: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -39, -110, -251, -486?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 2 - y**3 + 3\/2*y**2 + 0*y. Find the second derivative of z(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r. Let q(f) = 8*f**2 + 2*f - 10. Let l(x) = 14*x**2 + 5*x - 26. Let p(c) = 2*l(c) - 5*q(c). Calculate y(p(n)).\nAnswer: -168*n**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/252*(-9)\/21*(-7)\/(-2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 4. Suppose 50 = g - p. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -279*q**3 - 19*q**2 - 22*q + 40. Let z be c(20). Round z to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 78900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575334569.\nAnswer: 521, 1104289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -15. Let n = -6 + h. Let b = n - 6.3. Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 6*p + 4. Let y be l(-9). Let b = -32 + y. Let f(q) = -4*q + 2. Let c = 38 + -43. Let z(w) = w - 1. Determine b*f(o) + c*z(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/3 - 5*k**2 + 4*k + 9. Let h be s(-10). What is the units digit of 1*h + (-55)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2*u - 2)*(-u - u + 5*u)*(175 + 431 - 331) to a*u**2 + x*u + n and give a.\nAnswer: -1650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*l - 61*l = -462 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 1)*(0*k - k - k).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 0*p**4 + 0*p**4)*(-7285*p + 14033*p - 8155*p).\nAnswer: 2814*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197 and 12017.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w**3 - 9*w**3 - 4*w**3)*(6*w**2 - 5*w**2 + 4*w**2).\nAnswer: -145*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-238)\/(-8))\/((-11)\/44). Let y be t\/(-2) - 2\/(-4). Suppose -7*n + 12 = f - 4*n, y = 5*f + 4*n. What is the highest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n - 4 = 48*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77746 is divided by 25664?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 14 = -0*b + 5*b, 3*z + 2*b + 14 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 64.4. Which is the second biggest value? (a) 0 (b) -4\/7 (c) -1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-3))\/((-98)\/(-105) - 1). Let o(m) = -103*m - 516. Let i be o(-5). Sort l, i, 1, -2.\nAnswer: l, -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39458816*u**6 + 109248398*u**2 wrt u.\nAnswer: -4735057920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.027 + -45.847382. Let j = q - 0.182. What is j rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from {c: 2, o: 1, j: 2, d: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 14\/(-4) - -3. Let c = -3 + -2. Let y be (-2)\/(-5) + 48\/(-20). What is the third smallest value in d, y, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (214\/749)\/((-24)\/28)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41954, 83894, 125834?\n\"Answer: 41940*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 - 5*x**4\/6 - x**3\/3 - 4*x**2 + x. What is the units digit of y(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -752 - -793. Differentiate -5 - 10*h**2 - 23 - m - 22*h**2 wrt h.\nAnswer: -64*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217.5 - 218. Let o = -8204 - -172322\/21. Let c = o - 15\/7. Put 0, y, c in ascending order.\nAnswer: y, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/24)\/((-5)\/(-3)*(-39)\/(-13)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01606 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(304\/896)*3\/(-24)*-6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -14 + 1 + (-5576)\/(-408) + (-138)\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/3)\/o**(-5\/3))**(7\/10))**(-3) assuming o is positive.\nAnswer: o**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*f - 10*f - 6. Let m be 675\/60*112\/f. Is (16\/(-10))\/((-12)\/m) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m = -25*m - 142. Let o = 224 - m. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -10*h**4\/3 - 12*h**3 - 81*h**2\/5 + 184*h. Find r such that b(r) = 0.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1566473*c**3*s*t + 2077687*c**3*s + c**2*t with respect to t.\nAnswer: -1566473*c**3*s + c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -121955.4 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2\/17*i + 2\/17*i**2 - 4\/17 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 1. Let a(w) = -4*w + 81. Let t(n) = a(n) - z(n). Calculate the remainder when 56 is divided by t(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.7502 meters in micrometers?\nAnswer: 880750200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080212805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/176)\/(2*7\/(-154)). Solve 52*u = d*u - 200 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdebkssdezsk. What is prob of picking 1 z and 1 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30367860?\nAnswer: 2, 3, 5, 506131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4942396100?\nAnswer: 2, 5, 151, 327311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 34 + 39*b**3 - 14)*(62*b + 1 + 110*b - 3*b)*(2 + 3 - 6).\nAnswer: -6591*b**4 - 39*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(60)*1*-3)\/(sqrt(405) - 1*sqrt(405) - sqrt(405)) + 5 + 5 + 0 + sqrt(243) + -5))**2.\nAnswer: 1160*sqrt(3)\/3 + 3664\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 10 + 12. Let f = -6 - u. Calculate the common denominator of 3 - f - (-285)\/10 and -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2491, -5115, -7713, -10273, -12783, -15231, -17605, -19893?\n\"Answer: 2*u**3 + u**2 - 2641*u + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 5*y**2 + 5*y - 3. Let z be -6 + 1 - (-2)\/(-2). Let a be f(z). Suppose 0 = a*b - 5 - 31. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-32))\/(((-9)\/(-12))\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Let b(c) = -4*c + 12. Let j(d) = 7*d - 22. Let w(v) = 5*b(v) + 3*j(v). Let m be 2\/(-2) + 0 + 7. Determine m*x(n) + w(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/29 + 554\/377. Let j = 1\/26 - y. Sort -3, j, -5\/2, 0.2 in decreasing order.\nAnswer: 0.2, j, -5\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and -44\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -58 + 281*u - 72 - 1024*u + 10. Is y(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 163041, 652022, 1466943, 2607804, 4074605, 5867346, 7986027?\n\"Answer: 162970*m**2 + 71*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3886492735 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 4) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(-7))*t)\/t)\/t*t**(3\/5))\/(t**1)**(-4\/5)*(t**(3\/4)\/t**6)\/((t*(t**(-7)\/t*t)\/t)\/((t*t**(-4)\/t)\/t)) assuming t is positive.\nAnswer: t**(83\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -45\/4, -1, -11, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 + 16*x**2 - 15*x - 64. Let i(t) = t**3 - 2*t**2 - 4*t + 1. Let h(g) = -3*i(g) + r(g). Give h(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32031210 by 6.\nAnswer: 5338535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7626905, -15253812, -22880719?\n\"Answer: -7626907*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, g: 3}. Give prob of picking 3 g and 1 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -207 times -19119\nAnswer: 3957633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v**3 + 3*v**3 + 2*v**2 - 10 - 8 + 17. Let m(h) = h - 6. Let d be m(7). Determine l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 - 110. What is the closest to h in -6, 4, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -10*a - 8 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 100 - 70)*(-3*f**2 + 0*f**2 + f**2) + (f + f + 0*f)*(22*f + 812 - 812).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-2))\/((486\/553428)\/9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26932*n**4 - n**3 - 2*n**2 + 24976 wrt n.\nAnswer: -646368*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t**2 + t + 1. Let v(l) = -l**3 + 7*l**2 - 5*l**3 - 4*l + 10*l + 2*l + 7. Suppose 4*j + 2*h + 20 = 4, -j - 18 = 4*h. What is j*v(u) + 14*c(u)?\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3223111322 (base 4) to base 13.\nAnswer: 2799bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34222584 by 4277823.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1233221 - 11?\nAnswer: -1233232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*a + a + 3*r, -3*a + 5*r = -9. Suppose -5*q + 20 + 0 = 0. Differentiate z**q - a + 0 + 1 with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/13 + 532*v**3 + 48330*v**2\/13 + 55184*v\/13 - 110432\/13 = 0. Calculate v.\nAnswer: -3451, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2448) + -2 + sqrt(2448)) + sqrt(2448) + 4)**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -28dd5d?\nAnswer: 28dd62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3\/2*a**2 + 5 + 0*a - 4\/5*a**5 + 10\/3*a**3 + 9\/4*a**4. Let y(r) = 0. Calculate r.\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.246505 rounded to three decimal places?\nAnswer: 1.247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + -3 + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/11)\/((15 + -27)\/12). Let q(m) be the first derivative of -c*m**5 - 2\/11*m**3 + 12 - 1\/33*m**6 + 0*m - 7\/22*m**4 + 0*m**2. Factor q(a).\nAnswer: -2*a**2*(a + 1)**2*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.2. Let v = 0 - u. Let f = 0.1 - v. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18271 and 726.\nAnswer: 109626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/630)\/((-6)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95838052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80)*-6*-4)\/(-2*sqrt(196)*-1 + -2*(sqrt(196) - ((1*sqrt(196) - sqrt(196)) + sqrt(196)))).\nAnswer: 72*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119.93 + 127.7. Let n = 0.23 + o. Let p = n + -8.009. What is p rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -3, 0.3, -4817, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 0, 0.1, 5\/2, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3*v**5\/5 + 3*v**3\/2 + 3*v**2\/2 - 2*v - 1. Let b(o) be the first derivative of d(o). Factor b(i).\nAnswer: -3*(i - 1)*(2*i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - 10. Let s = r + 97. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7*j**3\/6 - 7*j**2\/2 - 36*j + 169. Let g(b) = -3*b - 4. Suppose 4 + 0 = -c. Calculate c*n(t) + 7*g(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/48 and (-20)\/24 - 4042\/(-1269).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*1*(2 + 39\/(-26)). Solve 0 - 2*k**o + 11\/2*k**4 + 0*k - 5\/2*k**3 - k**2 = 0 for k.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 5*i)*(0*i + 0*i - 3*i)*((-5*i - i + 5*i)*(-3*i + i - i) + 2 - i**2 - 2).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44042 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*((-1)\/(-3) - 1). Let f be 4\/(-15)*(2 + (-48)\/s). Is 3 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 0, -10*c = -6*c - 2*p - 714. Suppose -2*t - 5*z = -336, -504 = -t - 2*t + 3*z. Let q = t - 107. Calculate the remainder when c is divided by q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*u - 12, 5*u - 343 = -3*a - 323 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12037022 (base 9) to base 2\nAnswer: 10110011001010001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 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: What is next in -67, -161, -255, -349, -443?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 54 (c) -1\/6 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 + 202*p**2 - 205*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b + 88*b - 2289*b**2 + 4567*b**2 - 20*b - 37*b - 2290*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206*q**2 - 270*q**2 + 0*q + 4*q + 192 wrt q?\nAnswer: -128*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122632 is divided by 10217?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518815035?\nAnswer: 3, 5, 11529223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3.6 (c) -2\/23 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 2:14 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4393155 divided by -25995\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93*c*g**3*n - 2*c*g**3 - 2*c*g**2 - 336578*c*n - 3*c + g**3 - 6*g**2 - n + 16600 wrt n.\nAnswer: -93*c*g**3 - 336578*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = 2*i. Let l = 2 + i. Let v = 6 - l. Calculate the least common multiple of v and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 - 227. Which is bigger: -170 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 0, 4*d = u - 0*u + 5. Let l(i) = -i + 2*i - 2*i. List the prime factors of l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164 - 168. What is the closest to -2\/5 in 1, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = a - 3, 3 - 12 = -3*a. Suppose r = 2 - h. Let i(f) = -5*f**2 + r*f - 7*f + 4*f**2 + 1. Let j(d) = -d**2 - d. Calculate -i(p) + 3*j(p).\nAnswer: -2*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -7, -4922, 0 in decreasing order.\nAnswer: 2, 0, -5, -7, -4922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4283, -2712, -91, 3580, 8301?\n\"Answer: 525*o**2 - 4*o - 4804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -271, 770, 2503, 4928?\n\"Answer: 346*s**2 + 3*s - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 45 - 115 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 28*j + 16. Let u be r(3). What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295 is divided by 462.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, -1.455, -9096 in decreasing order.\nAnswer: -1.455, -3.8, -9096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 14a1794?\nAnswer: -14a1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnkrnrfrrnvnr. What is prob of picking 1 f, 1 v, and 1 k?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x + 80*x + 5*x = 358680. Calculate the greatest common divisor of 120 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*t + 376 - 375 = 0, -5*c + 4*t + 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 0, -13596, -2, 7, 2 in descending order.\nAnswer: 7, 2, 0, -2, -126, -13596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4118\/5331 or -2?\nAnswer: -4118\/5331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 7*h - 4*h)*(0*h**4 + 3*h**4 - h**4) + (-5 + 0 - 6)*(h - 3*h**2 - h)*(1 + 3*h**3 - 1).\nAnswer: 107*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 29 (c) -21 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:52 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lililill. Give prob of picking 3 i and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3*k\/(k*k\/(k**5\/k)))\/(k*k**(-6)*((k**1*k)\/k*k)\/k))**18 assuming k is positive.\nAnswer: k**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b - 6. Suppose 15 = -5*k + 10*k. Let o be f(k). Let t = o + 29. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 75227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a49b0 (base 15) in base 8?\nAnswer: 1773324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-154)*-3)\/(9\/(-42))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3195*n**3 - 1512*n**3 - 1274*n**3.\nAnswer: 409*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87701 + 5.6.\nAnswer: 87706.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 204, 703, 1496, 2583?\n\"Answer: 147*c**2 + 58*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925.6645g to micrograms.\nAnswer: 925664500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -m*k + 4*k = 14. What is u in 5*u**2 - 3 + k + 4*u - 4*u**2 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -54387 * -1\nAnswer: 54387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 202 + (-116 - 38) - -60.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -278300 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4*3)\/((-1)\/1). Let v = t - -30. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -160. Let a = p + 103. Let y = -22 - a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/70*18*110\/(-6). Solve 4*j - m*n = -63*n + 17, 2*j = 4*n + 16 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209498746.\nAnswer: 2, 337, 310829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b**3 + 11*b**2 - 15*b + 5. Let m(t) = 7*t**3 + 7*t**2 - 10*t + 3. Let h(d) = -8*m(d) + 5*u(d). What is the remainder when 7 is divided by h(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.9 - 18. Let n = 0 - w. Let g(k) = -2*k**3. Let b be g(1). Sort 0.2, b, n in decreasing order.\nAnswer: 0.2, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1077*f**3\/5 - 1223*f**2\/5 + 146*f\/5.\nAnswer: f*(f - 1)*(1077*f - 146)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.995 + -4.495. Let f = -57 + 57. Which is the nearest to f? (a) 0 (b) u (c) -0.2 (d) -3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*n + 15989 = -60*n - 2705 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-16))\/(240\/1120)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/35 (b) -1\/4 (c) -932\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 987 = -5*q, 0*v - 742 = -3*v + 2*q. Is 48 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*r + 0*r + 126 = 0, 4*r = -12. What is the greatest common factor of j and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 25*t + 7. Let j(g) = -61 + 35*g + 14*g - 58 + 195 - 63. What is 6*j(s) - 11*z(s)?\nAnswer: 19*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26\/5 + -89\/20. Let l be 6\/((4\/(-6))\/((-76)\/(-210) - 195\/455)). What is the nearest to 0 in -0.4, 3, x, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.6 * -2.8\nAnswer: -35.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = -2*o + 3*g, 0 = -5*o + 5*g + 45. Suppose -2*h + o = -2*z - 6, 12 = 3*z. Which is smaller: h or 11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -567*k**3 + 9*k + 5. Let g(b) = 1136*b**3 - 15*b - 9. What is -3*g(j) - 5*x(j)?\nAnswer: -573*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -23 - -21) + 36 + -23.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-26 - -12 - -3) + -1 + (10 - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 27 = z, 11066*f - 2*z - 50 = 11071*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44074202 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -5 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:08 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(432) + sqrt(432) + 1 + 2 + ((2*sqrt(3)*1)**2 + sqrt(3) - (sqrt(108) + 4)) + -5.\nAnswer: 7 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6764, -6766, -6770, -6776, -6784, -6794, -6806?\n\"Answer: -m**2 + m - 6764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2\/65178947?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -5*q - 8, 2*q - 1233*f = -1235*f + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50096\/5 at most 10018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -345, -351, -247, -33, 291?\n\"Answer: 55*d**2 - 281*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/58*((-660)\/(-80))\/(-33)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-121)\/(-5) - (18\/(-10) - -2). Calculate the highest common factor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 41*u**2 - 2*u + 78. Let b be c(41). What is the smallest common multiple of b*(-15 + 9 + (5 - 1)) and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-12))\/((-2)\/3). Suppose 3*d + l = 11, -n*d + 5*l - 2*l - 7 = 0. Solve -5*b = -d + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363 - -715. Suppose -t - 2*z = -5*t + d, -4*z - 182 = -2*t. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 35 + 13 = 0. Let q be ((-3)\/g)\/((-1)\/4). Factor -14\/11*r**3 - 4\/11 - q*r + 24\/11*r**2.\nAnswer: -2*(r - 1)**2*(7*r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 1. Let u be w(7). Let d(p) = u*p**2 - p + 2*p - 8 - p**3 + 3*p + 2*p. Give d(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 137*p + 236. Does 14 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l = -0*l. Let u be -7*(l - (-15990)\/(-21)). Suppose -15998 = -12*x - u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 112 = 208. Let c(b) = b**3 + 13*b**2 - 16*b - 28. Let w be c(-14). Suppose 5*g + 3*n - r = -w*n, 9 = 3*n. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365.61312 - -0.08688. What is h rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/552 and 7\/2679324.\nAnswer: 123248904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/15 + 177*m**2\/5 - 31329*m\/5 - 502. Solve l(u) = 0.\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1162*h + 388*h + 386*h + 6 + 387*h. Determine d(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -18*w + 6. Let q be l(5). Let j = 77 + -85. Find the common denominator of 75\/16 and (-2)\/(j\/3*(-5)\/q).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2011737 and 88\/819.\nAnswer: 6035211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 30839\nAnswer: 165\/30839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 5. Let k(l) = l**3 + 24. Let m be k(0). Let g = f + m. Solve 5 - g = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Which is the closest to 1\/2? (a) 0 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 11*r + 8. Let a be w(-12). Let j(z) = z**3 + 2*z**2 - 5*z + 3. Calculate j(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*s**3 - 44*s**3 + 112*s**3 + 1 - 39*s**3 in the form n*s**2 + a*s**3 + h + y*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 366311, 732697, 1099083?\n\"Answer: 366386*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179778963 and 0.5?\nAnswer: -89889481.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-33) + 7\/3. Suppose -2 = 4*n - 5*n, p*n = i + 1. Solve 4*o + 29 = i*c, 3*o = -c - 0*c - 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 402?\nAnswer: -402.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 125 in 2\/9, -61, 5, -0.02, -0.039, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7039348 litres?\nAnswer: 703.9348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 + 96488474288.\nAnswer: 96488474093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 smaller than 212.64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2591, -11097, -25569, -46007, -72411, -104781, -143117?\n\"Answer: -2983*u**2 + 443*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (27 + 2 - -3) + -1. Suppose -58 = -2*l - k, -2*l + l + q = k. Suppose -133*z + 1120 = -119*z. Calculate the remainder when z is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11388 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 436\/5287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-21)\/14 - (-7653)\/(-18). Let y = 433 + l. Factor 20\/3*k**2 + y*k + 4 + 4\/3*k**3.\nAnswer: 4*(k + 1)**2*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/30128112 and 103\/20736.\nAnswer: 482049792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8920984 is divided by 4339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-90)\/(-24) - 6\/8. Is 16\/(-20)*(h - 8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose 3*t = -2*f + 151, m*f = -0*t - t + 287. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 499 is divided by 130.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16027861247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - 3 - 7*-1. Suppose -2*g - i = 5*s - 7*g, 3*s - 4 = -2*g. Sort 3, s, -2 in decreasing order.\nAnswer: 3, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*(s\/(s*s**(-4)))\/s))\/s*s*(s\/(s*s\/(s\/(s**(1\/3)\/s)*s)*s)*s)\/s)**(-40)*((s*s**(3\/2))\/s*s**(-8))\/(s**(-1\/5)*s**(1\/2)) assuming s is positive.\nAnswer: s**(1298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = -14*z + 12*z, u + z = -1. Let j = 152\/7 + -22. Sort 15\/4, 1\/6, u, j in decreasing order.\nAnswer: u, 15\/4, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 53, 0, -4, 2, 5.\nAnswer: -4, 0, 2, 5, 7, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83\/1787 or -1?\nAnswer: 83\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 3582587979518802*w + 3582587979518802*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 289*y**6\/210 - 17*y**5\/35 + y**4\/21 - 27*y + 5. Determine n, given that k(n) = 0.\nAnswer: 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 17*z**2 + 1. Let n(y) = -7*y - 64. Let i be n(-9). What is t(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 4:18 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 122114239?\nAnswer: 48845695.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-180)*-5)\/(425\/225)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 - 15*t**2 + 17*t - 7. Let n(c) = -c**3 - 7*c**2 + 8*c - 4. Let v(d) = -2*j(d) + 5*n(d). Let m be v(4). Suppose -1 = -m*u + 13. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1620557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 1326 = -5*l - 1317, -8*q + 16 = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8068.439 + 8065. Let l = w + -0.061. Let o = 3.8 + l. What is the second biggest value in 3\/4, 4\/9, o?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -1, 1043, -0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-42)*((-190)\/(-24))\/((-39995)\/(-16840)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*z - 19, -z + 7 = 5*x + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*b**5*m**3 + 1304*b**2*m**2 - 3*b*m**3 + b*m**2 + 2884*b*m - 19*m**2 wrt b.\nAnswer: -920*b**3*m**3 + 2608*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20*(-2)\/(-2)*41\/(-1804)*-77\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25654555 and 67145?\nAnswer: 5165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1055*t**2 + 258*t**2 + 248*t**2 + 265*t**2 + 258*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s. Let o(n) = 4*n**3 + 2*n**2 - 3*n + 1. Give -2*f(l) - o(l).\nAnswer: -6*l**3 - 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 83607920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 3\/2*s**3 + 1\/20*s**5 + 0 + 3*s**2 - 36*s - 11\/12*s**4. Calculate q(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.4867649 to 3 dps.\nAnswer: 2.487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 169. Let y = -20 + 20. Suppose y = -4*j + 4*o + 64, 0 = -j - j + o + 32. What is the highest common factor of i and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**6\/24 - i**5\/20 - i**4\/24 + i**3\/3 - 5*i**2 - 5. Let k(g) be the second derivative of p(g). Is k(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) - (sqrt(117) + sqrt(117)*-1*5 + sqrt(117))))\/((sqrt(9) - sqrt(27)\/sqrt(3)*-1) + sqrt(63)\/sqrt(28)).\nAnswer: 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1434304ug in grams?\nAnswer: 0.0000001434304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -736*l**2 - 23*l + 21. Determine m(1).\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + 325?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let o(g) = 76402502*g. What is i(o(y))?\nAnswer: -5837342311860004*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(8\/7))**(7\/5))**18)**18 assuming j is positive.\nAnswer: j**(2592\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/35)\/((-88)\/(-40) + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 6. Let i be 6\/12 + 3\/2. Let z be (-3 - 6)\/((-3)\/i). What are the prime factors of s(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/18*93 - (-6)\/(-4). Suppose 4*p = -x + 10, -43*x = 5*p - 42*x - 12. Sort -1, p, n, 5.\nAnswer: -1, p, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1028 - 6.6072. Let w = -46 + 45.49. Let q = z - w. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(21)\/sqrt(3) - sqrt(84)\/((sqrt(144) - sqrt(144)*2)\/sqrt(12)).\nAnswer: 5 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -895*w**3 - 270*w**3 - 111*w**3 - 575*w**3.\nAnswer: -1851*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3, -0.4 in increasing order.\nAnswer: -4, -3, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42*7)\/(2\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, -0.3, 4\/11 in descending order.\nAnswer: 0.4, 4\/11, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -689790000 rounded to the nearest 1000000?\nAnswer: -690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/5 in 2, -5, 2\/7, 0.5, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*c + 3, 5*b = -5*c + c + 35. Suppose 3*s + 258 = 3*f, b*f - s = s + 255. Calculate the remainder when f is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*g = -49, 289*h = 292*h + 6*g + 42 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/50)\/((978\/2119)\/(45\/(-78))).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 6*z**3\/5 - 83656824*z**2\/5 + 291602507759904*z\/5 + 1166411369549184\/5 = 0?\nAnswer: -4, 6971404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/48)\/(95\/(-1140))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106459373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2970 = 76*a - 766. Let q be (-1)\/((-6)\/33 + (-39)\/(-33)). Sort q, a, 2, -6 in descending order.\nAnswer: 2, q, -6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/((-168)\/(-280))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbbbbb. Give prob of picking 3 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*m**2 + 157*m**2 - 78*m**2 - 12*m)*(m - 4*m + 2*m).\nAnswer: -7*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11917681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2821, 11317, 25477, 45301?\nAnswer: 70789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (29\/10)\/(63\/(-36)) - (-126)\/147\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -3) - (-7 + 6 + -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o. Let v(c) be the second derivative of 7*c**3\/6 - 2*c. Let h(z) = -4*z. Let b(f) = 10*h(f) + 6*v(f). Determine b(a(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 - 6 + 1 + 4 + (0 + 0 + 1)*(1 + 0 + 0) - 2 + 0 + 1 - 1 + 0 - 1 - 1 + 1 - 1 - 3 + 0 + 1 + 4 - 1 + 6)*(-o - 3*o + 3*o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21201010012 (base 3) to base 10\nAnswer: 151718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22018 - 10608. What is f rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17565*g**3*n - 3*g**2*n + 2*g*n - 54682*g + 2*n wrt g.\nAnswer: -105390*g*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f + 10*f - f**2 - f + 9*f + 216 + 181 wrt f.\nAnswer: -2*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -69063\nAnswer: 9668.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) 0.3 (c) 2\/15 (d) 260 (e) -28 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4180 + -1135. What are the prime factors of d?\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 11:13 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2863213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 10*b + 14. Let u be s(-11). Suppose 4*r - v = 29, -u*r - 2*v = -0 - 8. Find w, given that w**2 + 12*w**3 + r*w**3 - 19*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 141, 269, 457, 723, 1085, 1561, 2169?\nAnswer: 2927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from {z: 3, d: 5, p: 4, i: 1}?\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1212 = -l, -2*l + 31*r - 36*r + 2421 = 0. What is the highest common factor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26033?\nAnswer: 7, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.824 and -0.1.\nAnswer: 0.1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -417.59 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -203234 (base 5) to base 11\nAnswer: -5036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976756?\nAnswer: 2, 11, 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3 + -9 + (2 - 7)*(-7 + -18180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -2*w + 4*s + 34, 5*s - 13 = w. Suppose -c = -w*c + 36. Suppose -125 = -c*l + l. What is the remainder when 123 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*u**3 + 3249\/5 - 3363\/5*u + 23*u**2.\nAnswer: -(u - 57)**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 11. Let q = -28 + 27.48. Let b = q - -3.52. What is the closest to 0.1 in -0.2, s, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-48) - -1*1. Let z = -62 + 65. Let y be (-2 - 5\/((-5)\/z))\/1. Which is greater: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.2648 to the nearest integer.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a day in minutes?\nAnswer: 21312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*g - 4*g**3 + 320*g + 7*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 78*k**3 + 5*k**2 - 1. Let z(p) = 42*p**3 + 3*p**2. Let b(d) = -3*a(d) + 5*z(d). Let m(h) = 23*h**3 - 4. What is 4*b(g) + 3*m(g)?\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52 - -2)*(-5 + 69\/15). Solve m*h - 4*h = 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 8145318469533?\nAnswer: 8145318469540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 252323254262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 90*o - 17*o**3 + 204*o + 41*o.\nAnswer: -28*o**3 + 335*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.08. Let w = -0.220008 - j. Round w to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/18 - (-50)\/15)*79695\/5175?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6) - (472\/(-66) - -7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3*d - 5070 - 74785, 5*d - 19981 = -s. Let q = -599137\/30 + s. Find the common denominator of -19\/12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1464, 1422, 1380, 1338, 1296?\n\"Answer: -42*v + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 + 11510*o + 5466120 = 0.\nAnswer: -404, 2706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -7, 0.053047, 0, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8460998543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.4 (c) -9629 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*h - 30 = 0, 0*m + 17 = -m - 3*h. Let z be m\/2 - (-507)\/66. Let w = z - 601\/99. Find the common denominator of w and -111\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v. Let d(r) be the second derivative of 487*r**3\/2 + 436*r - 3. What is b(d(t))?\nAnswer: -2922*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2. Let t be ((0 - 1)*4)\/(-2). Suppose -t*g = g + 12. Let o(d) = -3*d**2 - d**2 + 0*d**2 + 5*d**3. Determine g*s(v) - o(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 46a + 2212?\nAnswer: 2680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 1)*(-4)\/(-24). What is the first derivative of -n - 6*b**2 + 3*b**2 + b**2 wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 - 3966109757?\nAnswer: -3966109435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3025294861?\nAnswer: -3025294857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2, 4, -809\/2, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/8*r + 3\/8*r**3 - 21\/8 - 27\/8*r**2.\nAnswer: 3*(r - 7)*(r - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Let l be h(-5). What is the smallest common multiple of 42 and l\/((-45)\/(-42))*-5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -252*j**5 + 5*j**4 + 156*j**2 + 5.\nAnswer: -15120*j**2 + 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**5 + 2*y**5 - 2*y**5 + (-y**2 - 2*y**2 + 5*y**2)*(-y**2 + y**2 - 2*y**3) - 56*y**5 + 115*y**5 + 73*y**5.\nAnswer: 129*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25.8 + -26. Which is smaller: n or 3\/22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3*d - 10)*(2 - 2 - 2)*(-d - 4*d + 3*d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4041 is divided by 83?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67 - -351. Calculate the remainder when x is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**3 - 1710 + 17*a - 6*a - 5*a - 8*a.\nAnswer: 11*a**3 - 2*a - 1710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, f: 5}. Give prob of picking 3 t.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let h be z\/4 - 21\/(-4). Suppose h*o - 10 = -0*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*y + 7 = 0, -5*y = 4*r + r - 30. Suppose -2*s = -5 + r. Let u(b) = b**2 + 0*b - 8 - 8*b - s*b**2. Determine u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -216, -1121, -3576, -8355, -16232, -27981?\n\"Answer: -129*r**3 - r**2 + r - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6522 - -0.6522. What is the nearest to -0.63 in 0.3, 1\/6, c, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.92 + 3. Let a = u + -0.38. Let v = 2437.5 - 2440.5. What is the third biggest value in v, -0.1, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068817.359 rounded to the nearest 1000?\nAnswer: 1069000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -996*p - 10. Let w(y) = 3*y**2 + 3. Give m(w(v)).\nAnswer: -2988*v**2 - 2998","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 580106037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 s when four letters picked without replacement from {q: 8, b: 1, s: 2, c: 7}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 + 9. Let d be u(7). Let i be (-1)\/3*d\/2. Calculate the highest common factor of i and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -49?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-14) - (-30)\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -54. Let q(l) = -6 + 0*l + 4*l - 2*l**2 + 3*l**2. Let m be q(-5). Which is the closest to m? (a) i (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.688 minus 25662.9549?\nAnswer: -25512.2669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 873*v**2 + 6. Let m(l) = 594512*l**2 + 4088. Give -6*m(f) + 4088*s(f).\nAnswer: 1752*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 33300?\nAnswer: -33240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -40.4. Let l = -35 - t. Let j be (-12)\/20 + (-4)\/(3 - 23). What is the third smallest value in 3\/2, j, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25947, -51895, -77843, -103791?\nAnswer: -129739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9563.794 milliseconds in nanoseconds?\nAnswer: 9563794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 3*l + 1. Let z = -4 + 23. Let n = z - 25. Let w(r) = 2*r**2 - 3*r + 1. Let h(a) = n*p(a) + 5*w(a). Give h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 5*u - 3*h, -4*u + 5*h + 240 = -101. Calculate the remainder when u is divided by 25\/2 - (-1)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.13144?\nAnswer: -5.13144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360.6991t to micrograms.\nAnswer: 360699100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8) - (-9)\/(-12). Suppose d*g = -5*g + 120. What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.4 in 0.2, -0.02, -247?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 13) in base 4?\nAnswer: -3010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a meter in millimeters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 4*v + 0*v)*(518 - 262 + 5*v - 273).\nAnswer: -20*v**2 + 68*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + n + 1 + 1 + n - 1 + (-3*n + 0*n + n)*(0 + 0 - 2) + n + 2*n - 2*n)*(-18347 + 18347 + 1319*n**3).\nAnswer: 9233*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*d**2 - 117*d**5 + 153*d**2 - 70*d**2 wrt d?\nAnswer: -7020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 6945723?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -513.6 + 547. What is n rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3212.22117 - -0.17883. What is i rounded to the nearest ten?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 4. Let n be w(9). Let a(c) = -c**3 + 4*c**2 + 4*c + 1. Let q be a(n). Let f be -1 - (1 + q)\/(-3). What is the smallest value in f, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 3*w + (1 + 2 - 4)*(w + 0*w + 0*w)*(-1 - 6 + 5) - 71*w + 190*w + 99*w to the form y + j*w and give j.\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (4 - 21) - 37\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18872 + -12750. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (-34 - 2 - -26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/14)*d)\/d**(-2\/25)*d**(-14)\/d**13 assuming d is positive.\nAnswer: d**(-9047\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 6 = c, -3 = 2*c - z + 5. Let q be (-2)\/c - (11 - 15). Solve 0 = u + q*l + 2, -2*l = -2*u - 0*l + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -33. Solve -2*p - 4 = -c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 3*x**2 + 49859832*x + 207166903922352 = 0.\nAnswer: -8309972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 0. Suppose -2*a + 3 - 9 = r. Let v(z) = -2*z**2 - 4*z - 1. Determine v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6575*z**2 + 1347*z + 4?\nAnswer: 13150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223.5 + -129. Let x = n + -94.50683. What is x rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10919100 and 8160?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = c + 53*p - 48*p, 2*c - p - 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 minutes before 6:04 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(9\/30*290\/1566)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*j + 105, 4*j - 5*t - 79 = 18. What is the highest common factor of j and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*j**2 + 46*j**2 - 176*j**2 + 53*j**2 - 2*j + 2*j.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -0*r + 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*((-89)\/178)\/((-2)\/(-2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**2*w**3 - 9*d**2 + 19*d*w**4 - 12 wrt w.\nAnswer: -3*d**2*w**2 + 76*d*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1211536783 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 203*a**3 - 32 + 66.\nAnswer: -203*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27214?\nAnswer: 2, 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 11788 = -5*h, -60*h + 2*j = -63*h + 7091. Is h a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 7613.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(3\/5)*b**(-4)*((b*b**(-2\/7)\/b*b)\/b)\/(b\/b**1) assuming b is positive.\nAnswer: b**(-94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0375049 centuries to years.\nAnswer: 3.75049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*t + 4122 - 678 for t.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6041442 is divided by 17665.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -c - 2*b + 70, -c - b + 66 = 0. Suppose -4*x + 176 = -c. Is 4 a factor of 2\/12 + 230\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*w - 6*w = 37, -43 = -3*a - w. Calculate the greatest common factor of a and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14406 is divided by 672?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*y + 534 - 34 + 25 = 0. Solve -y*o - 3*i - 3 = -4*o, -2*i = -4*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r + r + 0*r)*(4*r**2 + 4 - 4) + 11*r**3 + 13*r**3 - 18*r**3 + (3*r - 4*r + 4*r)*(15 - 15 - r**2) to a*r + y*r**2 + g*r**3 + k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-6 - -4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 - -5?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 168 and 166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 393.5 - 382.9. Let r = -0.6 - 5. Let i = s + r. Sort i, 7, -0.3 in ascending order.\nAnswer: -0.3, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 27. Let q be k\/(-5)*-1 + -3. Let f be 0 + (-4 + (-2)\/(-2) - (10 + -14)). What is the closest to 0 in q, f, 54?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65191697587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i + 28 = 5*b, -2*i - 16 = -5*b. Calculate the remainder when 2 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34799339 divided by 39?\nAnswer: -34799339\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + 3*j**4)*(-2 + 2 + j) + (-j + j + j**2)*(5*j**3 + 2*j**3 - 3*j**3 + (4*j**2 - 3*j**2 + 17*j**2)*(0*j + j - 3*j)).\nAnswer: -29*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*a - 69, k - 5*a = -4*k + 85. Let o be (-822)\/(-5) - 4\/k*-3. Let u = o - 97. Is u equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/8)\/(1\/4). Let z(d) = -d**2 - 4*d + 7. Let w be z(f). Suppose -5*a + w*a - 574 = -5*h, 5*a = -5*h + 550. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6*g - 1. Suppose -3*m = -4*z + 240, 0 = 5*z + 7*m - 3*m - 269. What is the remainder when z is divided by a(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -868, -2471, -4828, -7939, -11804?\n\"Answer: -377*n**2 - 472*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = h + 43 + 11, 0 = -3*w - 5391*h + 5409*h - 120 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*i**2*o*s**2*w**3 + 9*i**2*o*s**2*w + 32*i*o*s**2*w**3 + 2*i*s**2*w**3 + i*w - 6*s**2*w**3 wrt i.\nAnswer: 146*o*s**2*w**3 + 18*o*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1003233?\nAnswer: 1003300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 637078.\nAnswer: -1\/49006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 114733083090609*b**2 - 21422706*b + 1 = 0.\nAnswer: 1\/10711353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q - 2*h + 174, -3*h = 4*q - 232. Let i = q - -550. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 + 92*b + 141. Determine v(-19).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-26 + 41) - (0 + -48)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -12 - (1 - -14) - (8 + -5 + 36).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -19\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-12) + 8\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 35 = -6*u. Let j be (0 + 1)\/((-1)\/9). Let w be (-2)\/(3\/(j\/6)). Calculate the highest common factor of u and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3074831.\nAnswer: 67, 45893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 0) + -84 + 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 10\/(-2))*1. Let d be 1*77 + 0\/h. Suppose -80 = -5*t - 25. Calculate the greatest common divisor of d and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 + -4.5. What is the closest to d in 0, -0.07, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 438782862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r + 179 = -1. Let q = 7 + -12. Let p = -5.2 - q. Is r <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/20 - 2\/(-5). Suppose -3*d - 2*g + 2 = 0, 2*d = d - 2*g - 2. Suppose d*f = -10 + 4. Sort f, 8, x.\nAnswer: f, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/3418 (b) -5 (c) 4 (d) 0.3 (e) 0.087 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 7*o - 2. Suppose 0*q - 4*q = q. Suppose q = a + 1 - 7. What is the lowest common multiple of u(-6) and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 122604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3549 is divided by 442?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174 + -165 - (2 + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120 + 113?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z\/z**4)*z*z)\/((z\/(z**(-7)*z)*z)\/z)*((z*(z**(-8)\/z)\/z*z)\/z)\/z**(-15) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26\/9 - -61\/18. Which is the third smallest value? (a) -0.01 (b) m (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/9)\/((-29)\/261). Let a be 2 + -2 + -2 - (-40)\/u. Find the third derivative of 25*o**4 - 5*o**2 - a*o**4 - o + 45*o**4 + 18*o**2 wrt o.\nAnswer: 1248*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -19. Solve -q + 6 = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztizztbz. Give prob of picking 1 t and 1 i.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07574, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1. Let s(g) = 2*g - 6. Let u(c) = -6*l(c) + s(c). Let b(w) = -w. Let x(j) = -4*j. Let v(o) = 7*b(o) - 2*x(o). Calculate v(u(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/15)\/(1\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**4 + 5\/3*u**3 + 0*u**5 + 0*u**6 - u**2 + 0 + 0*u + 1\/15*u**7. What is the first derivative of y(s) wrt s?\nAnswer: 56*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5378.6 - -5379. What is the third biggest value in 0.1, c, -3, -4.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450449 is divided by 90080?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.5 or -142078\/43?\nAnswer: -142078\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*12\/(-9). Suppose -34*x = -31*x - 6. Suppose 4 + 10 = x*j. Solve -h*c + j*c + 25 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2 - 0) + (-14)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - z**2 - z - 1. Let p(b) = b - 11. Let d be p(10). Let u be f(d). Let j = 1.03 + 1.97. Do j and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 19*f**2 - 93*f + 33. Calculate the smallest common multiple of 766 and d(9).\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:00 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose -5*n - 10 = 0, -s*n + 225 = -l - 277. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/8)\/(z*z**(-21)))\/((z\/((z\/z**(-21))\/z))\/z*z**9))**(-48) assuming z is positive.\nAnswer: z**(-1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1210829 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686016022 is divided by 85752002.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -25\nAnswer: 22.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 27*m**2 - 382*m - 23. Calculate g(11).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4454*j**3 - 237*j**3 + 2*j**2 + 1320*j + 7835*j wrt j?\nAnswer: -28146*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/120 - 13*o**5\/60 + 13*o**4\/12 - 17*o**3\/3 - 3*o**2 + 11*o. Let h be c(11). Solve i - 3*i + h = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795050418.\nAnswer: 2, 7, 2683, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1875*c**4 - 661350*c**3 - 57652743*c**2 + 117297036*c - 58981068 = 0. Calculate c.\nAnswer: -4434\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -51410000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*s**2 - 4*b**4 - 122*b**3*s - 9*b**2*s**2 + 13*s - 1 wrt b?\nAnswer: 24*b*s**2 - 96*b - 732*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, i: 8, f: 1, k: 6}. What is prob of sequence khki?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1323.76 - -1359. Round o to 0 decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = -5*p - 2*a, -3*p = -3*a - 3. Suppose 0 = -p*h - 3*h + 312. Is h a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0*d + 3*g - 21, g - 20 = 5*d. Let f(w) be the second derivative of w**4\/12 - w**3\/6 - 3*w**2\/2 + 7*w. What is f(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 236*j**2 + 9444*j - 26100 = 0. Calculate j.\nAnswer: -87, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 274186.0362?\nAnswer: 274183.0362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -142*d**3\/3 + 12*d**2 - 54. Find the second derivative of k(y) wrt y.\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-300)\/(-3)*(-10)\/4. Let h = m - -426. Suppose -10*o + h = -6*o. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 14*k + 7. Let p(r) = -5*r - 2. Let w(n) = 6*h(n) + 17*p(n). Let s be w(6). Suppose -2*o = s*o - 180. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17435, -33184, -48933, -64682, -80431?\nAnswer: -96180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, 2 in descending order.\nAnswer: 2, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63669 and -3247722?\nAnswer: 3184053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*d + 3, -31 = -q - 3*q + 5*d. Suppose -q*j + j = -87. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27770 rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -42*b**2 + 24*b**2 - 2 - 80*b**2 + 4*b**2 + 0. Let d(t) = -t**2. Give h(d(y)).\nAnswer: -94*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -16*l**2 + 6 + 20*l - 14*l**2 - 2 + 33*l**2. Is 6 a factor of m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)\/sqrt(6) + 2 + (1*sqrt(3) - sqrt(3)) + 1*((1*sqrt(216))\/sqrt(6))\/sqrt(12))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + 6 - (15 - 14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-6)\/(-180)*-36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(21\/(-26)) - 5. Solve q*y = 17*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 79*m**2 + 6*m - 4. Let v be d(6). Let l = -20095\/7 + v. What is the common denominator of l and -71\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106461385.\nAnswer: 5, 21292277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11027.75 times 35.7?\nAnswer: -393690.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.633 and 4?\nAnswer: 11.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*h**3 - 36*h**3 + 43*h**3.\nAnswer: 67*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*z - 34*z + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**2 - 414*s + 3. Let t(n) = 30*n**2 + 1242*n - 8. Calculate 3*t(o) + 8*w(o).\nAnswer: 2*o**2 + 414*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-419)\/2514*3\/10\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 80d + b011?\nAnswer: b820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(78\/4) + 8\/6. Let j be 0 + y + 3\/(3\/3). List the prime factors of (-2 - -2 - j)*-31.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 + 0.05. Let p = o - -0.02. Let q = p + 0.89. What is the third biggest value in q, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3, 3*a + 0*a = -p + 900. Let k = -638 + a. Find the common denominator of 65\/72 and k\/(-80) - (-8)\/(-10).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8772253?\nAnswer: 7, 179, 7001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -9907.2363\nAnswer: 29721.7089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - f. Let o be -2 - -1 - (f - -1). Calculate the remainder when 20 is divided by 2 - (10 - 0)\/o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by -19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times 30?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -1)\/(2 - ((-443236)\/(-221620) + 0))?\nAnswer: 5, 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -3, 3.46, 2?\nAnswer: 3.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 50986 = -242*x + 240*x, 0 = t + 5*x - 12760. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(3 - 3 + 2)*(-6*c + 6*c + 7*c)*(1719 + 93 + 1893 + 50) to the form v + y*c and give y.\nAnswer: 52570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*m - 53 + 38, -2*m - 6 = -i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*r + 7 = -3, 0 = 2*h + r - 7. Let t be -18*(h + (-10)\/3). What is the units digit of (3\/(t\/(-16)))\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7201803 is divided by 1664.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 222130 (base 4) to base 3\nAnswer: 10201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Solve -j*q + 33 = -4*k, 5*k - 15 = -2*q - 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/20 - 17*h**4\/24 + 19*h**3\/6 + 7*h**2 + h. Let c be d(6). Solve 3*i = -4*m + 11 + 20, c = 5*i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 33 = -8*m. Are -10 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n - 17. Let r be b(7). Is r\/10 + 16412\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3010*l. Let m(i) = -110*i**2 - 6. What is m(t(f))?\nAnswer: -996611000*f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -80. Let m be ((-460)\/(-15) + (-6)\/r)*-47. Round m to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 8*k**4 - 8*k**3 - 32*k**2 + 48*k.\nAnswer: -k*(k - 6)*(k - 2)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 126*v**2 + 2*v + 7. What is u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*sqrt(224)\/(sqrt(8) + sqrt(200)).\nAnswer: sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1443 * -67.628\nAnswer: -97587.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44097 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38271 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 13 + 2. Solve n + 3 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t - 11. Let c = t + 8. Let v be 3\/c*23*-1. What is the greatest common factor of 161 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3623423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4517 + 4521. Solve 4*g + 4*z = -0*g, y*z - 5 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 12*w + v - 784, 0 = 4*w + 3*v - 792. What is the smallest common multiple of w and 1?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-54)*636\/7155\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {i: 4, q: 2, n: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.3 (c) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/679 - 675\/2716. What is the biggest value in i, 1, -1\/93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205484247?\nAnswer: 3, 4243, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4\/11)*t)\/(t\/(t\/t**(-2\/9))))**(-2\/5) assuming t is positive.\nAnswer: t**(-34\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 69*m - 10. Determine g(-15).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0 + t + 4*t**4 + 169\/330*t**5 + 1\/30*t**6 + 1\/1155*t**7 - 231*t**2 + 192\/11*t**3. Factor a(g).\nAnswer: 2*(g + 3)**2*(g + 8)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 435 - 14*n - 18*n**5 - 435 wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {v: 8, j: 3, l: 6, g: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127924?\nAnswer: 2, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(72))\/sqrt(9).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/315*(-10)\/13\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843 is divided by 151?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9554 - -3160. Let a be -2 + 5\/((-165)\/p). Let c = -387 - a. Calculate the common denominator of c and 65\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144209252.\nAnswer: 2, 11, 297953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 49.3 (b) -1\/8 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 + 80. Let c = 10461.2063962 - 10505.2064. Let b = y + c. Round b to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 4, -15\/7, 5?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -482*d - 389*d + 77*d. Let c(a) = -a. Give n(c(l)).\nAnswer: 794*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 3 - -2) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**4\/4 + 3*j**3 + j**2 - 7*j - 3. Calculate the smallest common multiple of -1*2\/3*-3 and z(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 191178162 by 574.\nAnswer: 333063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54054823*w**5 - 122742279*w**2?\nAnswer: 3243289380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 51\/5 of a meter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 895882*b**2 - 1791778*b - 2687658.\nAnswer: 2*(b - 3)*(b + 1)*(b + 447943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41258 is divided by 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/(-10))\/7 + 2. Solve 0*h + 3\/2*h**3 + 0 + q*h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + j + 585 = -j, 0 = -3*q - 3*j - 588. Let d be q - 0*4\/(-20). Let a = -90 - d. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c - 1. Let o be g(-8). Suppose -6*p = -p - o. Suppose 0 = 2*n - 69 + p. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 136666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + l**2 - 81*l + 65. What is h(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6200 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1)\/(4\/(-152)). Let i = 38 + g. What is i rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 452 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = -5*x + 56. Let j(h) = 2133*h + 1. Let u be j(3). Let t be u*((-900)\/x)\/(-5). Round t to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3988886 to the power of 1\/3, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8767739 + 0?\nAnswer: 8767739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*v - 3*z, -z - 1 - 6 = 3*v. Let w = 7 + v. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let i be (-4550)\/(-4) - 1\/t. Is 1\/4 + i\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 38*m**2 + 8*m + 38. Let g be a(8). Calculate the greatest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*x + 88302 = 0, -4*y + x = -5*y - 22078. Let o = -220963\/10 - y. Let h = o - -23. Calculate the common denominator of -16 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2922189*g*q - 4*q + 80402 wrt g?\nAnswer: -2922189*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 50*m**2 - 519*m - 7. What is f(36)?\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 8*x - 5*x = 1012. What is the common denominator of x and 19\/281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592290?\nAnswer: 2, 5, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s + 3. Let p(v) = 20*v**3 - v**2 - 8*v + 25. What is -4*h(k) + p(k)?\nAnswer: 24*k**3 - k**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((16399\/46)\/(-23))\/(4\/8)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5566660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -4 - (-29 - 9)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1608?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/100*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*t - 16 - 0, -5*s + 20 = t. Suppose 0*l - l + s*v + 510 = 0, -3*l + 1569 = 4*v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 24 = 15*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + 1 + -4) - 3*(sqrt(475) - sqrt(475)*-3))**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 2*j - 1. Let u be q(2). Let l(w) = -19*w**3 - w. Let r be l(u). Solve r = 2*n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3*c - c - c + 0*c + (1 + 2*c - 1)*(3 - 5 + 4) + 4*c + 3*c - 5*c - 2*c - 4*c + 7*c in the form s*c + y and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/191, -3\/7, -1.3092 in decreasing order.\nAnswer: -2\/191, -3\/7, -1.3092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 10:28 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n**2 - 3*n**2 + 2*n**2. Let c(i) = 2*i**2 + 6. Let s be c(-3). Let f(t) = 10 - 2*t - s + 14. Determine f(b(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2180500 divided by 28.\nAnswer: 77875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/9)\/(r*(r*r*(r\/r**(11\/2))\/r)\/r) assuming r is positive.\nAnswer: r**(67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3220034002 (base 5) to base 15\nAnswer: -8e48d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 31*l + 19. Suppose -5*g + 66 = 6. Calculate the smallest common multiple of g and h(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -48. Let y = -21 + g. Factor 7*h - 2 + 4*h**4 + 5*h + h**y - 13*h**3 + 4*h**2 - 6.\nAnswer: 4*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -355 - -227. Let j be (1 - (-4 + -36))*(2 + -3). Let q = j - k. What is the remainder when q is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1257201.463972 + 1257662.94. Let i = -462.476 + p. Let s = 1 + i. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(sqrt(12)\/(sqrt(18)\/sqrt(3)) + sqrt(128)) + 5)*-6.\nAnswer: -60 + 162*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 4:28 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f - 15. Let o be p(-6). Suppose -2*k + 34 = 3*h - 9, -o*h + k = -28. Suppose 0 = 3*j + 2 - h. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**4 + 1 - 2 - 3*d**2 - 4*d**3 + d**2 + d**4 in the form s*d**4 + j*d**2 + i*d**3 + o*d + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 - (-3 + 1). Let z(s) be the second derivative of s**5\/10 - s**4\/4 + s**2 - s - 926. Calculate z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409939730 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbhff. What is prob of picking 1 f and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/185 and (-410416)\/(-10804) + -26 - 24\/2?\nAnswer: 13505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 3)*(-r + 6 + 0 - 8)*(r**3 - 4*r + 4*r).\nAnswer: -4*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**2 - 5*r**2 - 2*r**2 + 4*r**2. Let u(p) = 2*p**2. Give n(u(w)).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -714740 divided by -10\nAnswer: 71474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**3 - 63*g**3 + 5*g**3.\nAnswer: -39*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*x - 116, -3*x + 4 = r - 38. Let u(y) = -y**2 - 18*y + 9. Let k be u(-15). Calculate the highest common divisor of r and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -50*b**2 - 698*b + 27. Determine v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 - 34 = -4*a, 0 = -3*w - 12. Suppose -2 = j + 3*k - a, 2 = j - k. What is the lowest common multiple of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 + 2*g - 2. Let r be o(1). Solve 3*j - r*j - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/8 - 27723*x\/2 + 25678368.\nAnswer: 3*(x - 35008)*(x - 1956)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (9 - (18 + -8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and 168.3?\nAnswer: 168.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 112*m + 58. Let c be y(115). Calculate the highest common divisor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 + 9*w + 2. Let r be y(-2). Let b be (r + 1)\/(15\/(-70)). Calculate the highest common divisor of 154 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2352 and 13230.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3)*(-90)\/80)\/1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**8*m)**(-8)\/(m**(3\/10)\/m*m**(-30)) assuming m is positive.\nAnswer: m**(-493\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, w: 1}. What is prob of picking 4 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*x - 1. Solve 6*l = 5*l - x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qhqhzhttzqhhkkt?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 52.7. Suppose 5*q - 59 = n, -8*q + 3*q + 55 = -5*n. Suppose 4*x + 0*x = -q. What is the smallest value in d, x, 1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.032 - 0.032. What is the closest to -2 in 8, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7405 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1222692, 1222720, 1222750, 1222782?\nAnswer: 1222816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 7*h - 4*h - 6*h. Let i(q) = -16*q**2. Give g(i(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59542 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 9 - 2. Suppose -x*d = -1977 - 29186. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29273, 28882, 28491, 28100, 27709?\nAnswer: 27318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-f**3 - 2*f**5 + f**3)*(-3 + 0 - 345).\nAnswer: -696*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*a**2*q**2 - 18262*a**2*q - a**2 - 147885*a*q**2 + 77 wrt q?\nAnswer: 148*a**2 - 295770*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + -48 - (-1733673)\/24409?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 3. Let m be d(3). Let y = 16 - 16. Suppose 3*g - 6 + m = y. Solve -2*b + 0 = -g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102113102323 (base 4) to base 12.\nAnswer: 1741a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 4) in base 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 4. Let d(w) = 2*w**2 - 19*w + 2. Let m be d(9). Let k be z(m). Let n = k + 17. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 899\/52 or 17?\nAnswer: 899\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9554.003mg?\nAnswer: 9.554003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 27*m - 24*m to the form x + t*m and give t.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -314105 - 404?\nAnswer: -314511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (648\/(-360))\/(1\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63 + 0 + (-8 - 16\/(-8)). Suppose 56*c = w*c - 34. Sort -5, 0, 4, c in decreasing order.\nAnswer: c, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*((-46)\/20)\/(4\/10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 2:38 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 4*m**2 + 9*m + 5. Let z be l(6). Let h = -9 - z. Solve h*p + 2*d - 26 = 0, 0 = -d - d + 10 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.3, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 4*t + 10. Suppose -5*c = -0*c - 20. Let k = 18 - c. What is the remainder when k is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-130)\/(-39) + 1563.\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422 and 14073278?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3133 + -231?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5*(-6 + 1). Suppose -s*h - 15 = h. Let v(o) = -4*o**2 + 9*o - 9. Let w(j) = 5*j**2 - 10*j + 10. Let p(t) = 6*v(t) + 5*w(t). Calculate p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b5 - -30661?\nAnswer: 305ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1462117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2. Let s(x) = 5*x**2 - 4*x. Let k(v) = 4*v**2 - 3*v**2 - 7*v**2 + 5*v. Let t(l) = -4*k(l) - 5*s(l). Calculate t(h(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62\/205 - 4\/41. What is the nearest to -2 in -4, m, 2\/41?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -732*v**3 - 725*v**3 + 1459*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.332604 to three dps.\nAnswer: 3.333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/576922 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2430428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 46134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141264804 + 70632378 + 70632426 + b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 14*f**5 + 438*f**4 - 39524*f**3 - 307232*f**2 + 250560*f + 95744 = 0.\nAnswer: -68, -8, -2\/7, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 h, and 2 l when four letters picked without replacement from {h: 3, a: 6, i: 1, o: 2, l: 2, w: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187*-0.05.\nAnswer: 9.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 28 + 5 = u, -26 = 4*o - 2*u. Let b(a) = a**2 + a. Let r(t) = -4*t**2 - 6*t. Give o*b(y) - r(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112477496.\nAnswer: 2, 1759, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Differentiate -1 + x + 3*k**2 - 4 with respect to k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 426 - 431 + q + q**3 - 8*q**3 - 7*q**3 - 10*q**2 + 16*q**3. Let h(p) = -4*p**3 + 19*p**2 - 3*p + 11. Give 3*h(m) + 7*n(m).\nAnswer: 2*m**3 - 13*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*j - 21789 + 190808 = -44701. What is the remainder when j is divided by 229?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -36 - (-11 + 8 - ((2 - 1) + -11)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.008 - -0.0216. Round g to three dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 4*b**2 + 2*b - 13. Suppose -4*t + 3*g - g = -8, 0 = 3*t - 5*g + 1. What is the tens digit of s(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.76, -5, -3?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5 - -1960) + 1)\/(3\/2). Let j = -876 + m. Is (12\/(-3))\/((-8)\/j*1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, e: 4, k: 1, j: 5, o: 1}. Give prob of picking 2 j and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0 + 0)*(l + l + 4 - 3*l) + (-3*l + 3 - 4 + 2*l)*(4*l + 9*l - 15*l).\nAnswer: l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 20884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayoo. What is prob of sequence oyo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -81.4 * -0.059\nAnswer: 4.8026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/2568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + ((-25)\/5 - -8). Let a(k) be the third derivative of -o*k**2 + 4\/15*k**3 + 1\/150*k**6 + 0*k + 0 - 1\/30*k**4 - 1\/25*k**5 + 2\/525*k**7. Factor a(g).\nAnswer: 4*(g - 1)**2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*y - 198 + 198 - 3*y + 0*y + 2*y + (5 - 2 - 2)*(4 - 4 + 2*y) as f*y + z and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(40)\/((sqrt(96)\/sqrt(4))\/sqrt(3)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4882978999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m, 5*d + 4*m = -2 + 7. Suppose 3*y - 3013 + 2815 = 0. What is the remainder when y is divided by d\/(-12) + 78\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/13217?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:53 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3290, 13166, 29654, 52778, 82562, 119030, 162206, 212114?\nAnswer: 268778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -791130.\nAnswer: -791133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 + 1 - 1)*(0*h + 0*h - h) - 2*h + 2*h - 70*h**3 as w*h**2 + p + f*h + q*h**3 and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxhxxshsx. What is prob of sequence xshs?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 13\/50*t**5 + 2\/25*t**6 + 11*t + 1\/105*t**7 + 2\/5*t**4 + 0*t**2 + 0 + 4\/15*t**3. Factor d(f).\nAnswer: 2*f*(f + 1)**2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(684) + ((sqrt(684) - (sqrt(684) + 2)) + sqrt(684) - sqrt(684))*4 + -2 + -3)**2.\nAnswer: -576*sqrt(19) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o\/o**(-1\/6)*o))*o\/o**(1\/5)*o\/o**(3\/5)*o*o\/(o\/(o*o**(4\/3)))*o assuming o is positive.\nAnswer: o**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 206192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/17 + 6914*p**2\/17 - 64592*p\/17 - 7639064\/17 = 0.\nAnswer: -3466, -29, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiigsggigsi. What is prob of picking 1 i and 2 s?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35277455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.50062 centuries in years?\nAnswer: 9750.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 69 + 153 = 0. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 134. Suppose 0 = 2*h - v*g + 14, -20*h - 16 = -24*h - g. Calculate the least common multiple of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36128 is divided by 238.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 11. What is n(8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 109308154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.964292 millennia?\nAnswer: 996.4292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6027, 1159, 8355, 15567, 22801, 30063?\n\"Answer: u**3 - u**2 + 7182*u - 13209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k. Let y(a) = 7*a**2 - 428*a + 6. Calculate y(h(b)).\nAnswer: 63*b**2 - 1284*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318 = 4*b + u - 380, 7*b + 13*u = 86 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 16085*h**3 + 1675090*h**2 + 1659000*h = 0. What is h?\nAnswer: -100, -1, 0, 3318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 272 (base 15) in base 10?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, g: 2}. Give prob of picking 4 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29898786?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -17\/5*z**5 + 9*z**2 + 0*z + 0*z**3 - 24 + 0*z**4. What is the second derivative of j(f) wrt f?\nAnswer: -204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + 98 + -112 + -1 + 17?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) 3\/280 (d) -8\/13 (e) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 5*j**4\/24 - 13*j**3\/3 - 4*j**2. Let n be v(6). Suppose n*r + 407 - 1675 = 0. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -21. Let w(a) = -a**2 + 12*a - 31. Let j be w(6). What is the second derivative of 55*y - 17*y**5 - 32*y + h*y**j wrt y?\nAnswer: -220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, t: 1, l: 8}. What is prob of sequence qtq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5294 - 1710. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-26 - 30 - (16 + -2))) + -3 + -1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*z - 108*z = d + 1, -52 = 4*d + 4*z for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 268, 0, -3, -2 in descending order.\nAnswer: 268, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -6, -24 in ascending order.\nAnswer: -24, -6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11052.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjdj when four letters picked without replacement from {d: 13, j: 4, h: 3}.\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 250253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826 divided by -53.\nAnswer: 826\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - p - 4, -4*c = -5*c + 3*p + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -626b5c (base 14) to base 11.\nAnswer: -196a255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229853 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**0)**(16\/5))**(3\/13)*n*n*n*n*n**(-2\/3)*n*n**(2\/5)*n**(-2\/7)\/(n\/n**(2\/17)) assuming n is positive.\nAnswer: n**(117004\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 40*x**2 + 27*x - 161. Let i(r) = -24*r - 271. Let k be i(-13). Is c(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3)\/(-6) - (-13)\/78.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 5*r - 2. Let z be m(5). Suppose -2*w = -31 - 21. Let p = z + w. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*j**3 - 22*j**3 + 19*j**3)*(-3 + 5 + 2) + 8*j**3 + 4*j**2 + 7*j**3 - 14*j**3 as q*j + l + d*j**2 + z*j**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 15*z**2 - 4*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f\/(f*f\/((f*(f*f*f\/f**(2\/11)*f)\/f*f*f)\/f*f))))*f*f))\/(f*f*f**(2\/7)))**47*(f*f**(1\/3))**(-14\/9)*(f\/(f**(1\/3)*f))**28 assuming f is positive.\nAnswer: f**(-815572\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 152. Let q(f) be the second derivative of 0*f**4 - 5\/2*f**2 - 3*f - 1\/4*f**5 + 0 + 0*f**p. Find the first derivative of q(t) wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -41*z + 1. Let b(f) = -4*f. Let s(o) = 42*b(o) - 4*q(o). Let i(p) = -5*p - 3. What is -2*i(k) + 3*s(k)?\nAnswer: -2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + -2)\/(2\/60) is divided by 246\/15 - 2\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50.5 in -4\/9, 3, 0.11, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32458, 64918, 97380, 129844, 162310?\nAnswer: 194778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.99 - 26.59. Let o = -0.1 - w. Let l = o + -32. Round l to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 15 = -o. Solve h + o*h = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.2 - -0.8. Let i = 595202.9943 - 595128. Let d = i - p. What is d rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36840480 by 2760.\nAnswer: -13348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j - 3. Let i = 6 + j. Let s(g) = -2*g - i*g**2 + 2*g. Let o(a) = -3*a. Give s(o(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0\/(q**(-4)\/q))\/(q**(-1\/4)*q)**(-14) assuming q is positive.\nAnswer: q**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634 = -531*u + 445*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(3*(2 + -4*sqrt(2736)*-1*4))**2.\nAnswer: -31518903 - 34560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -14.19?\nAnswer: 7.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -o + 2*v - 4*v, -o = -4*v - 2. Let j be 10\/6 + 2\/o. Suppose l = j*l - 4. Solve 2*d = -l*k + 12, 3*d - 2 = -4*k + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128)*6*5 + 5)**2*-6.\nAnswer: -691350 - 14400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4951 by 19.\nAnswer: 4951\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lelfflfflfffff.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 5*q**2 + 5*q - 24. Let b be f(6). Suppose g - 21 = 6. Let y = b - g. What is the highest common divisor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 14*n - 3. Let y(k) = -k**2 + k + 1. Let l(u) = -g(u) + 6*y(u). Let b be l(-9). Let t(d) = -2*d + 2. Is t(b) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 4*l - 38, -4*l + 14 = -q. Find the common denominator of 125\/6 and (((-282)\/(-28))\/1)\/q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 = -81*d + 127 - 1219 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = -6*u. Solve -3*o - 2*t = -5, u*o + 0*t - 12 = 3*t for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 3*n + 8. Suppose d + 13 = 4*l - 17, -4*l + 132 = -4*d. Let y = d - -35. Do y and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 2*n + 2*n**2 + 14*n + 4*n**2 - 14*n + (2*n - 3 + 3)*(n - 2*n + 3*n) + (-3*n - 3 + 3)*(0*n - 2*n + n).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7 - 1. Let j(d) be the second derivative of 1\/12*d**4 + 0*d**3 - w*d + 3\/2*d**2 + 0. Give j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 42 = -40 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 169*m**3 + 79 + (-4*m**3 - 2*m**3 + 5*m**3)*(7 - 3 - 2))*(-9*m - 5*m**2 + 9*m).\nAnswer: 855*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 + 106*w**2 - 2912*w + 5408 = 0 for w.\nAnswer: 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r + 2. Let w = -11 + 18. Let b(j) be the second derivative of -5*j**3\/3 + 7*j**2\/2 - 60*j. Calculate w*a(n) - 2*b(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1155\/17446 + (-2085)\/18070.\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000606232 to 5 decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:54 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1153.67724 and -62.38.\nAnswer: 1091.29724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(28)\/sqrt(4))**2*4 - 1*sqrt(63) - (sqrt(567)*3 + -2).\nAnswer: -30*sqrt(7) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -g, 3*g = 3*q + 2*g - 9. Suppose -3*i + i + q*w = -26, 4*i - 2*w = 70. Calculate the remainder when i is divided by 6\/16 - (-37655)\/3544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -96.\nAnswer: -96, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1351774?\nAnswer: 5407096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*b - 33*b - 28*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4490317\/84 - -53455. Find the common denominator of -5\/408 and k.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**2 + 5490*h - 21880 = 0. Calculate h.\nAnswer: 4, 1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 5, -3 in descending order.\nAnswer: 12, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*q - 2*s + 158 = 442, 5*q = 5*s + 8 + 162 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-825)\/110 + -33 + 41. Let f*q**2 - 31*q + 61\/2 = 0. Calculate q.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x - 2*x + 4*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - p + p - p**2 + 2*p**2. Let u be g(2). Suppose u*n = -n. Put 4, -5, n in descending order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -489\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 27 + 75 = 0. Let g(s) = -20*s - 36. What is the remainder when g(-5) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*m + 303 = 0, 2*m = 5*q - 348 - 36. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 7*j**2 - 9*j - 8. Let w be u(-6). Suppose -5*z - 27 = -w. Let m be 44 - 0*((-20)\/(-8) + -2). Calculate the greatest common factor of z and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 30. Let m = 24 + g. Let s be (-4)\/(-10)*(-140)\/(-84). Is s equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.0134, 24, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18895849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23177, -8, -3.\nAnswer: -8, -3, 23177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -71. Suppose 2*g + 39 = -5*t, -t - 4*t = 3*g + 36. Let v(j) = j**3 + 9*j**2 - j - 5. Let r be v(t). Solve r*y = 2*y + l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19022929 or 19022931?\nAnswer: 19022929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23761.\nAnswer: 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u + 2*u + 0*u - 3*u - 1. Let k be h(-4). Solve 18 = -3*x - l, -2*x - k*l = -0 + 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 + (-9 - -10). Suppose -y*d = -0*d - 10. Let z(l) = -2*l + 2. What is z(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*k**5 - 32*k**5 + 83*k**2 + 19 - 85*k**2 wrt k.\nAnswer: -4440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*d, 4*z + 190*d - 194*d = 32. Solve -6 + 7 = -2*y - p, -y - 3*p + z = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 0 - 0) + -3 + -6 + 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -172987.66?\nAnswer: 172985.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) -761 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/2)*k\/k**1)**33)**(-14\/5) assuming k is positive.\nAnswer: k**(231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 14.07. Let u = q - -0.05. Let m = -0.17 + u. Round m to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 16 - 7*x - 3 - x**2 - 5*x. What is the units digit of w(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*k - 280*k + 174 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*j**4 - 4 + (17 + 2 + 54)*(7*j**2 + 7*j**4 - 7*j**2) + 2*j**4 + 0*j**2 + 0*j**2 + (-5*j - 2*j**2 + 5*j)*(3*j**2 + 0*j**2 - j**2) - 5 + 5 + 3*j**4.\nAnswer: 514*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -6, -2, -0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -464702 (base 9) to base 5\nAnswer: -32412142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 242, 392, 576, 806, 1094?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6034 * -100.\nAnswer: -603400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 4*q**2 + 4*q + 3*q**2 + 2. Let d be n(-2). What is the highest common divisor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.19 in -3, 3\/29, -6, 0, 0.9?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*w**2 + 0 + 2\/9*w.\nAnswer: -w*(w - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 + 9*b**6 + 21*b**2 + 4*b**6 wrt b?\nAnswer: 1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210012011011201 (base 3) to base 4.\nAnswer: 222331130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 37339 - 82*j - 37339. Let q(p) = -9*p. Determine q(y(r)).\nAnswer: 738*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-1\/3)*o)\/o*o))\/(o**(-5)\/o))\/(o*o*o**(-1))**(-3\/10) assuming o is positive.\nAnswer: o**(149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*z + 356*z - 338*z = 1529 + 12753 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from kssssksksssksssssss.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-9))\/(2 + (-32)\/12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 1 + 0*f**3 + 12*f**3 - 2. Suppose 9*v + 9 = 18. What is the remainder when 22 is divided by o(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Find the second derivative of -5*k + 2*k + 0*k**2 - j*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -36*i**3 - 2*i**2 + i + 1. Let m be v(1). Let n = -13 - m. Let l = n + -18. Solve -l*s + 5*k = -15, 3*k = 4*k + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91993 = 4*u - 323647. Is (-2 + -4)*u\/(-60) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1237 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/51 - -542\/255. Solve -i*o + 12\/5*o**2 - 3\/5*o**3 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 1\/39*i**4 + 0 - 1\/130*i**5 - 4*i - 1\/39*i**3 + 0*i**2. Suppose q(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/21 + -185 + 185?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-715)\/(-572))\/(((-110)\/(-8))\/1)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -46*i**3 + 2*i**2 + 7*i - 66. Let b be l(4). Which is bigger: b or -2949?\nAnswer: -2949","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**7\/504 + i**6\/48 + i**5\/12 - 3*i**4\/8 - i**3\/6 + 10*i**2 - 3. Let n(b) be the second derivative of h(b). Factor n(f).\nAnswer: 5*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.3 - -30. Put -0.1, -6, d in increasing order.\nAnswer: -6, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6636 + 4734 - 2279 + (0 - 1 + 2)*(-3 - 2 + 2))*(r - 4 + 4) to the form k + t*r and give t.\nAnswer: -4184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 6*v - 216.\nAnswer: 2*(v - 9)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2, 9, -86382 in increasing order.\nAnswer: -86382, -5, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3336 = -8*c + 4*c + 4*g, 0 = -3*c - 3*g + 2532. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5878215251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/12 + 4*f**3\/3 + 3*f**2 - f. Let d be ((-3)\/2)\/(12\/(-40)). Suppose 55 = -5*c + d*r, -2*c - 31 = -r - 14. Give l(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/(-3366)*-1236 + 12.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1887 - -11285\/6. Let k = 126651\/15635 - 3\/6254. Find the common denominator of k and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(5) - sqrt(5))**2 - ((sqrt(605)*1)**2 - sqrt(5)) - (sqrt(400)\/sqrt(5) - (0 + sqrt(5) + -5))**2.\nAnswer: -70 - 29*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4)*18\/(-27))\/(68\/1224).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(4) + 4 - sqrt(19))*4)**2 - ((sqrt(152) - (-2*sqrt(152) + sqrt(152)))\/sqrt(8) + (sqrt(684) - sqrt(684)*-1)).\nAnswer: -14*sqrt(19) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d - 3354438. Suppose 0 = -4*y + d - 28477219. What is y rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2952 = 688*f + 200. Let n = 0 - 0. Sort -2, f, n, 2 in descending order.\nAnswer: f, 2, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 67 + 30 + 26 - 13*w + 33. Let g be u(0). Suppose -n + 146 - 36 = 0. Calculate the greatest common factor of n and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118277000 rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 y when four letters picked without replacement from {b: 2, t: 2, q: 6, y: 8}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 51621930947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 278 = -26. Let k(c) = -b + 84 - 2*c**2. Let z(w) = -3*w**2. Give z(k(f)).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2\/49, -1, 2\/11?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10340 - 199.7055\nAnswer: -10539.7055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1075809027 is divided by 238?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 26680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*n**2 - 31*n**2 - 80*n**2 - 82 + 10*n**2 with respect to n.\nAnswer: -176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365\/657*(-2)\/(-5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -4 (c) -0.2 (d) 2\/23 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2002656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-54) + (-20)\/(-27) + 1788\/(-2682). Let i be 0\/2 + (-2 - -4). Suppose i = j - 3. Solve f = j*u - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554552773 to the nearest integer?\nAnswer: 23549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) 2\/17 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*n**2 - n**4 - n**3 - 18 + 4*n**3 - 26 + 43 to the form s + g*n**4 + k*n**3 + c*n + y*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54 + -82. Let c(z) = z**2 + z - 10. Let k be c(-8). Let x = k + w. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174462 is divided by 10817.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 + 2*p**3\/3 - p - 38. Let q be (-1)\/3*(-4 + 1). Let v be q\/(1*-2 - -3). What is c(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10542 - -10613. Solve -n*r = -69*r + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwa when three letters picked without replacement from {w: 2, a: 1, c: 4, x: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 3.349577?\nAnswer: -0.46894078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*p**3 - 10*p**3 + 68*p**3.\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.3 + -3.7. Let o = 37 - x. Let d = o - 64.3. What is d rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 2*l - 2. Let g be (14\/35)\/((-1)\/(-10)). What is k(g)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-5)\/(30\/21). Which is the closest to 0? (a) -5 (b) -3\/5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -0.522, -43, -8.38 in increasing order.\nAnswer: -43, -8.38, -0.522, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11767*y + 816 = -11869*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 7. Let d be x(3). What is the third derivative of -3*l**3 + 0*l**3 + 29*l**d + l**3 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 5:43 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 55*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(-3*k**2 + 2*k**2 + 4*k**2 + (15 - 15 - 12*k)*(-10 + 10 - 6*k)).\nAnswer: -150*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 4*m + 24. Let x be n(-7). Put 0.4, x, -1, 2.3 in descending order.\nAnswer: x, 2.3, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6205 * -4.\nAnswer: -24820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2062.653684 - 2925.6536177. Let a = k - -863. Round a to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708202 to the power of 1\/2, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 2 = 0. Let x = -18 - -27. Calculate the remainder when ((-104)\/(-2))\/(4\/k) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 2*r - 4*o, 3*r - 418 = -o - 4*o. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 6. Let z be h(-4). Let -3*i**2 - 3*i**2 - i**3 + 7*i**z = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-103)\/2 + 1). Suppose 0 = 4*v + 2*m + 364, 0*v - 5*m = 2*v + 198. Let h = v + s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 8\/17, -5, -4, 0, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -a532418?\nAnswer: -a532424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wewzwwjwj. What is prob of sequence ejzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 19 - (-40 + 28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 195*((-1)\/(-1) + 1). Suppose h + 2*h = f. Calculate the remainder when h\/8 + (-39)\/(-52) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -20122120122202?\nAnswer: -20122120200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -341, 118, 883, 1954?\n\"Answer: 153*v**2 - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q**2 + 254*q + 116. What are the prime factors of m(33)?\nAnswer: 2, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -32 - -45 - 43\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 976 - 152. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 59*z + 135. Let k be r(-10). What is the hundreds digit of (k\/39)\/(3\/(-108))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11951)\/(-7) + (15 - (-856)\/(-56)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (8 - -3) + (77\/(-11) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5528\/3 - 1842. Factor -1\/3 + 2\/3*c - h*c**3 + 0*c**2 + 1\/3*c**4.\nAnswer: (c - 1)**3*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.348 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:09 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.08 (c) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 109531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12035643 divided by 1227?\nAnswer: -9809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 8 - 8.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000076713 rounded to seven decimal places?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y - 76*y = 0. Solve y = 2*q - 0*z - z + 6, 0 = -2*q + 5*z - 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((66 - 61) + (5 - 5 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/21 + (-4200)\/3675.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1671 - -1646. Sort s, -3\/8, 3.\nAnswer: s, -3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 502197 or 502198?\nAnswer: 502197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -2*v + 16. Let l = -2 - v. What is the third derivative of 0*m**6 - 3*m**6 + 2*m**2 - 5*m**l wrt m?\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 5*t = 3, 0 = 892*u - 895*u + 2*t + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29084?\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2*-4*(-3)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 17*g = -130. Suppose -4*p + 24 = -4*h, -p - 2*p + 13 = 2*h. Suppose 0 = -0*r - 4*r. Solve p*d = -r*d + g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2. Suppose 0*b + 10 = 5*b. Let o be x(b). Is 12 a factor of 3\/o*(-104)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 909920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 3*u - 6. Let m be k(4). Let q be 1\/(5\/m + 1). Suppose q*y - 4*y = -b - 117, -5*y + 290 = -3*b. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*v**3 + 119*v**3 + 2 - 2 + 492*v**3.\nAnswer: 1169*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*h = 3*b - 25, -5*b + 5*h = 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 210013232100 (base 4) in base 11?\nAnswer: 5388075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 16222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ussfsuugzss. Give prob of picking 1 f and 2 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r. Let p(n) = 147*n. Let t(b) = -868*b. Let o(w) = -35*p(w) - 6*t(w). What is x(o(a))?\nAnswer: 630*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 313056?\nAnswer: 5\/313056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10*x = -72. Let a(o) = 6*o**3 - 5*o**2 + 5*o - 5. Let w(n) = 5*n**3 - 6*n**2 + 6*n - 6. Give x*a(g) - 5*w(g).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -447?\nAnswer: -223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9639.906ms?\nAnswer: 9639906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**2 + 411618*x - 1234831. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6578 - -6575. Let g(u) be the third derivative of -u**4\/8 - 7*u**3\/6 + u**2. What is the units digit of g(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*z - 30, 0*y + 4*y + 2*z - 30 = 0. Let w = y + -7. Let x be 0\/((-3)\/(4 + -1)). Solve 2*m - 3*n + 14 = x, 0*m + w*m - 5*n = -18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.12 - -3.12. Which is the smallest value? (a) 0.3 (b) f (c) 0.5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:15 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2534824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cccgpcccccc?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2222.4 - 2277. What is f rounded to the nearest integer?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**(1\/3)\/p)*p)\/p*p**(-5))\/(p**(-1\/8)\/(((p*p\/(p\/p**(1\/4)))\/p)\/p))*((p*(p**1\/p)\/p*p)**(-2\/71))**(-29) assuming p is positive.\nAnswer: p**(-3649\/1704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - -4*(sqrt(240) - 2*sqrt(240)) - -1*sqrt(240)*-3)\/(6*sqrt(405)*1*-1).\nAnswer: 4*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16623527831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*p - 313*p - 313*p - 305*p - 308*p - 315*p + 1849*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*f + 40, 2*f + f - 32 = -5*b. Let g(m) = 4*m + 1. Give g(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-495) - 168\/135?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/4, 4, -1\/20, 2.\nAnswer: -0.1, -1\/20, 3\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-5)*i)\/(i\/(i\/(i\/(i**(-1)\/i*i*i)))))\/(i**(-1\/3)\/i)**(11\/6))\/((i**(-1\/7)*i**(1\/3)\/i)\/(i**(1\/7)\/(i**(3\/2)\/i*i))) assuming i is positive.\nAnswer: i**(995\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*w**5 - 65*w**5 + 87*w**5 + (-3*w + w - 2*w)*(2*w**4 + 0*w**2 + 0*w**2) + 2*w**3 - 2*w**5 - w**2 + w**2 + (-w**5 + 4*w**5 - 2*w**5)*(1 - 4 + 4).\nAnswer: -41*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 7*m + 6. Let k(h) = 7*h - 3. Calculate the remainder when k(7) is divided by i(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -n + f + f, 5*f = 15. Let v = -430.8 - -431. Put n, v, 0.05 in increasing order.\nAnswer: 0.05, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -0*g, 5*g - 59 = -4*v. Let q(l) = l**2 - 12*l + 11. Let m be q(v). Solve 0 = -b + 4*f - 4 - 15, m = -2*b - f + 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*b - 52 + 0*b.\nAnswer: -2*b - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6 and -1\/801?\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3910 divided by -34?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-31))\/(j*j**(1\/38)*j*j)*j**(3\/22)*j\/(j**(14\/5)*j) assuming j is positive.\nAnswer: j**(28539\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1531 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 19. Suppose 10 = -g + 5*f, g + d*f + 45 = -5. Let t = g - -48. What is the remainder when 116 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00066794501 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -3) + (-56)\/(72\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, -143, -1, 1, -2 in increasing order.\nAnswer: -143, -7, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 28*p**2 - 75*p + 2. Let o be h(-25). Which is the nearest to o? (a) 3 (b) -2 (c) 1\/4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96822, -96796, -96766, -96732?\nAnswer: -96694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d + 10*d**3 + 1 + 13*d**3 - 20*d**3 + 2*d. Suppose 3*x = -3*r + r + 1, 0 = -5*x - r - 3. Give w(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103 a factor of 496972037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:05 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3 + 19821*s**2 - 158399*s - 2080365 = 0.\nAnswer: -7, 15, 19813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 1:24 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47357826 rounded to four decimal places?\nAnswer: -0.4736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 2*f + 25. What is the tens digit of h(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 1\/3, 0.1 in descending order.\nAnswer: 1\/3, 0.1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -515 divided by 2.\nAnswer: -515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from {m: 2, t: 4, f: 6}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(12*v**5 - 3*v**5 + 0*v**5) + (2*v**4 + v**4 - 5*v**4)*(3 - v - 3) + (0*v**2 + 0*v**2 + v**3)*(-v + v + 2*v**2) - 3*v**5 + 0*v**5 + 8*v**5.\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e + -41b?\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3330 and 23\/3996?\nAnswer: 19980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-5)\/(-3))\/((-26)\/(-195)). Suppose 0 = -4*b - 3*x + 3236, v*b + 1634 - 5679 = 2*x. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**42\/(w**(-2\/5))**33 assuming w is positive.\nAnswer: w**(486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*l - 45. Let j = -15 + l. Calculate the least common multiple of 42 and j.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/876 and 11\/8979.\nAnswer: 35916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 0, g - s + 4 + 3 = 0. Let c be 4\/(-1 - g) + -1. Factor -3\/4*l**2 + 3\/4*l**4 - 3\/4*l**c + 0*l + 3\/4*l**5 + 0.\nAnswer: 3*l**2*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 74 + -3 - 3021\/159. What is the greatest common divisor of q and 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-70)\/21)\/10)\/((-2)\/72)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2)\/(-3)*(-5)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/120075284?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/2)\/3 + -1. Let n(z) = -25160 + 25160 - z**3. Let g(i) = 2*i**3. Suppose 0 = -f + 1 + 4. What is f*n(h) + y*g(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -1.5, -4, 53.79, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/2)\/(-3)*(-8)\/(-6). Suppose 8*f + 8 = 112. Which is the third biggest value? (a) q (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*a + 15, -3*i = -3*a - 2*a + 1. Solve 7 = 9*s - a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppkppfwfplwkpk. Give prob of picking 2 f, 1 k, and 1 l.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3594 - -3703. What is the remainder when k is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + 2)\/(-13 - (-3975)\/305) is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 6*m + 3. Let k be l(-2). Let f = 2094 + -2094.16. Is k bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -11. Suppose 0 = 7*b - 6*b. Suppose p + b = j. What is p rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_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: Is -12\/247 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 314, 1168, 2598, 4610, 7210?\n\"Answer: k**3 + 282*k**2 + k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 12*g**4 + 12*g**3 - 4*g**2.\nAnswer: 4*g**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -689.015 plus -1?\nAnswer: -690.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(16\/(-60))*(-200)\/(-12). Let c = k - 105. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + 2. Find the first derivative of y**2 + 3 - 2 - 1 + h wrt y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*c = 8, c + 46 = -t + 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 9*m - 210. What is the fourth biggest value in m, -2\/3, 0, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 330 and 331 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176206?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88357.28 years to millennia.\nAnswer: 88.35728","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -7749572038.9999853 + 7749572360. Let c = -50 - 271. Let d = f + c. What is d rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-6) - -1)*-2. What is the third derivative of 0*m**4 + 2*m**2 - 8*m**2 + u*m**4 + m**4 wrt m?\nAnswer: 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.21, -3\/2, 3, 575, -0.1 in increasing order.\nAnswer: -3\/2, -0.4, -0.1, 0.21, 3, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 866 = 171*f - 2212. Calculate the remainder when 600 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/5 (b) 0.5 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.99 + -0.01. Is 2 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + -14 + 34 - ((-3 - -9) + -10)) + 68\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 divided by 12078.\nAnswer: -71\/6039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*t + 12 + 5 + 12 - 12 to h + b*t and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 201 = 2*c - 5*x, 2*c + x = 189. Suppose 2*h = 3*m - 2*m - 95, -m + c = -4*h. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, e: 1, i: 4, w: 4, q: 7}. Give prob of sequence eiiq.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 1:43 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/13 and 87\/2210.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 1081?\nAnswer: 21620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**3 - 363*r**2 - 3075 wrt r?\nAnswer: 3*r**2 - 726*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 j when four letters picked without replacement from yjqlc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 260988.5894 rounded to the nearest one hundred?\nAnswer: 261000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312912030 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 23*n + 25. Give k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1580 by -1.\nAnswer: 1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116537067.\nAnswer: 3, 23, 193, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 15. Factor -2*b - 24 + 3*b**w - b + 24.\nAnswer: 3*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 7*z. Let m(a) = 1322*a. Calculate m(n(x)).\nAnswer: 3966*x**2 - 9254*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 less than -10865778937?\nAnswer: -10865778875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -56285000 rounded to the nearest 1000000?\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -17*b - 15. Let z be j(-2). Let l(n) = -n**2 + 21*n - 36. Let h be l(z). Suppose -13 = 18*d - 85. Solve -d = -h*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/747120 and 29\/5830.\nAnswer: 39597360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*i**5\/8 + 645*i**4\/4 + 3357*i**3\/8 - 87*i**2\/4 - 453*i\/2 + 63 = 0. What is i?\nAnswer: -14, -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1732 - 7\nAnswer: -1739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -20. Let o = k - 23. Solve -o*y - 5 = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + -2 + 4 + 5*(sqrt(700) + 1).\nAnswer: 7 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260914.6l to millilitres.\nAnswer: 260914600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4048?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -49*o**2 - 1095*o - 154. Determine n(-22).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72227060.\nAnswer: 2, 5, 89, 40577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1158.8 + -1159. What is the second biggest value in -180, 0, 1\/2, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3617 + -3620. Which is the biggest value? (a) 0.73 (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(-12943*u + 4848*u + 6076*u).\nAnswer: -12114*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72805188 divided by -76.\nAnswer: -957963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -105645*c. Let u(v) = 36*v - 3. Give s(u(z)).\nAnswer: -3803220*z + 316935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -6?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184.740557 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*n - 10 = 0, 0*n + 6 = 3*n. Let m = 1 - r. Let g = m - -18. Solve -3*p + 8 + 13 = -3*c, c = 5*p - g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 8. Calculate the remainder when (-370)\/(-20) + (-15)\/10 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4104 + 4742. What is the greatest common divisor of 290 and f?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85\/2*d + 3\/4*d**2 - 57\/4.\nAnswer: (d - 57)*(3*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1290 is divided by 44.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 1028 = -2*f + 1094, 0 = -3*f + 3*o - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*b + 376*b = 120. Solve 2*y - b = 0, -3*y = 4*v - 4*y + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309*w = 298*w - 33. What is the nearest to -0.1 in -8.61, -2\/11, w?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14 - 15*c**2 + c**3 + 16 - 21*c - 5*c**2 + c**2. Let f be d(20). Suppose 47*b + f = 42*b. Let q(t) = -7*t - 3. Give q(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:28 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -14. Let i = 13 - z. Let f = 13 + i. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 77*n - 10 = 79*n, -5 = -5*h + n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3\/3 - 2*r**2 + 4*r - 1602. What is o(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0, 255 in increasing order.\nAnswer: -31, 0, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/288)\/(((-22)\/9)\/(-11))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.2. Let s = -0.5 - h. Which is the closest to -0.1? (a) s (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13548 - 13548 - 620*c)*(-c**3 + 3*c**2 - 3*c**2) + (-3*c + 5*c - 3*c)*(-5*c**2 + 5*c**2 + 2*c**3).\nAnswer: 618*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 13*d - 15 + 14*d**3 + 6*d**2 + 1. Let f(t) = 5*t**3 + 2*t**2 + 6*t - 5. Let l(a) = 17*f(a) - 6*w(a). Let o = 5 - 3. Give l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61661 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**5 - 18*z**4 - 34*z**3 - 24*z**2 - 2. Let b(g) = -15*g**5 - 288*g**4 - 543*g**3 - 384*g**2 - 33. Let p(i) = -2*b(i) + 33*d(i). Factor p(f).\nAnswer: -3*f**2*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -3*t**6\/40 + t**5\/3 - 13*t**4\/24 + t**3\/3 + 22*t**2. Let m(h) = 0. What is h?\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*l + 96 = -b, 2*b - 2*l - 68 = 0. Let h be ((-1080)\/162)\/(-1 + 17\/15). List the prime factors of -5*5\/h*b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*r + 84*r - 4*l = -88*r, 0*r = -4*r - 6*l + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 20*w**2 + 43*w + 30. Is c(21) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1 + (-1 - 1). Suppose -2*k + 8 = y*k. What is the third smallest value in k, 1\/5, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 8:23 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 79214.72cm?\nAnswer: 0.7921472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2539510867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*x**2 + 3*x - 3*x - 201*x**2 - 173*x**2.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 33*q**3 - 2*q**2 - 2*q + 16. Let n(j) = j**3 - j**2 - j. Let h = -69 - -70. Let d(r) = h*b(r) - 2*n(r). Differentiate d(k) wrt k.\nAnswer: 93*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 31383, 8, 4 in decreasing order.\nAnswer: 31383, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 2, -156, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b + 299. Let i(h) = 16*h - 607. Give 6*i(d) + 14*q(d).\nAnswer: -2*d + 544","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 + 185*q**2 + 101*q + 1880. Determine d(47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - -25. Suppose 3*g - a - l = 70, 129 = 2*g - a. What is the highest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28607780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 x when three letters picked without replacement from kssxgwkwwsw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 7*l**2 - 23*l + 6. What is i(10)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r**2 + 4*r - 4. What is j(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2900468 months in years?\nAnswer: 0.1075039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -186*w + 77. Let n be q(-10). Calculate the highest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 498*l + 2877. Give g(-6).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -22*t**2 - 2*t + 5. Calculate f(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233512 is divided by 46119?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1052 + 1?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 6*i + 8. Let z(k) = k**2 + 4. Let v be z(0). What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p = -106*p - 476. Sort 2\/5, 1, p, -0.4 in descending order.\nAnswer: 1, 2\/5, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysssccggs. What is prob of sequence ys?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1056 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1218932263 to the power of 1\/2, to the nearest integer?\nAnswer: 34913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - 27. Let v = 9 - r. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 42*q - 260. Give p(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4081*l = 3515*l - 2598 + 73348 for l.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z. Let q(y) = -95009715*y. What is l(q(o))?\nAnswer: -285029145*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/100 - 1\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59.12 + 57. Let h = 0.13 - 0.01. Let w = u + h. Which is the nearest to -1? (a) 2\/11 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-10) - 24\/(-5). Suppose 2 + 28 = m*a. Suppose -3*p + 2*p + a = 0. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28516 is divided by 231.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 757212497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30173*p + 2538878 = -3999*p for p.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 529\/163 - 429991\/133497. Find the common denominator of -139\/126 and l.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1727, -0.5, -1\/9, -37 in decreasing order.\nAnswer: 1727, 0.4, -1\/9, -0.5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -220201220212 (base 3) in base 4?\nAnswer: -1312320002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3 (b) 2\/205 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.39 and -6523664?\nAnswer: 6523661.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.2, 3\/4 in descending order.\nAnswer: 3\/4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 9. Suppose -z - 3*u - j*u = -35, 0 = 5*z + 2*u - 83. Are 15 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*18\/2835 - ((-328)\/(-18) - 0).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, 146, 538, 1118, 1904?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(((-241)\/(-2410))\/((-2)\/28))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 6\/5, 0.3, -0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -79, -105, -139, -193?\n\"Answer: -2*w**3 + 14*w**2 - 58*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 5, 8, -4, 1445 in decreasing order.\nAnswer: 1445, 8, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 34 = -2*i - 2*j, -j = 5*i - 112. Let d = 37 - i. Suppose q + 4 = d. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t - 29*t + 47*t = -475. Which is the smallest value? (a) t (b) 4 (c) 2 (d) 0 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16, -4, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.8, 241, 0.5, -2?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2703920, 5407779, 8111648, 10815533, 13519440?\n\"Answer: u**3 - u**2 + 2703855*u + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -535, -1137, -1989, -3097?\nAnswer: -4467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5209*r + 10189*r - 5154*r + 8*r**2 to the form a*r + u + w*r**2 and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 12\/11, -52, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - b - 193 = 0, 248 = 5*u + 6*b - 5*b. Calculate the least common multiple of 77 and u.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 14*w**3 - 2*w**2 + 1. Suppose 3*b - 5*o + 3*o = 22, 0 = -5*b - o + 15. Suppose 1 = b*d - 3. Is i(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-10 + -2 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1428 minus -0.13729284?\nAnswer: 2.28009284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4 - 50943*a**3 - 3*a**2 + 50943*a = 0.\nAnswer: -1, 0, 1, 16981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -281 or -252?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010 + 1001?\nAnswer: -10101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 2, -5 in decreasing order.\nAnswer: 8, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 3\/73, 0.4 in increasing order.\nAnswer: -5, 3\/73, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*o + 1747, z + 371 = 4*o + 944. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqa when three letters picked without replacement from hhhhhhhhhahhhahhahqq.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/2)\/((-18)\/(-6))*(-520)\/(-182)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 4*b - 4. Let l be w(-3). Let q = 6 + -3. Let a be 0 - (2\/(-4))\/1. Sort a, l, q in increasing order.\nAnswer: l, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -9, -40, -107, -222, -397, -644?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 2311*r**2 - 51007*r - 24926.\nAnswer: -(r + 22)*(r + 1133)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 58?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1309 + (-9)\/(36\/10)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from tqrqrrwrr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*b + 58*s - 48*s, -5 + 17 = 3*s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810971, 1621915, 2432857, 3243797, 4054735, 4865671, 5676605?\nAnswer: 6487537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143)*-1*-6 + sqrt(143) + sqrt(143)) - 3*sqrt(143)*-1)\/(1*(sqrt(396) + sqrt(396)*2)).\nAnswer: -2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**2\/2 - 4*x - 8. Let a be z(8). Solve -k - k = -a*u - 24, -4*u = -3*k + 26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 18*x**2 + 81*x**3 - 12*x - 11 - 82*x**3. Let i be b(-16). Let l = 4 - i. What are the prime factors of l?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 511.2 - 568. Let s = d + 0.8. Let j = s - -60. Which is the nearest to 2? (a) 7 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 3, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -6, -2\/15, -12.54, -2\/13, 1?\nAnswer: -12.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(48))**2*6 + (sqrt(48) + (sqrt(48) - (sqrt(2352) + 1 + sqrt(2352))**2) - sqrt(48))).\nAnswer: 180*sqrt(3) + 27345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2\/2 + 697. Let a(x) = -2*x + 25. Give a(i(d)).\nAnswer: -2*d + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 1\/2, 1\/6, -5, -6.1?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-75))\/(5\/((-25)\/(-2)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 812 and 76?\nAnswer: 15428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-46)\/(-48) - -2 - 18\/12 and 97\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6840 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(5) - (sqrt(60)\/sqrt(3))\/sqrt(4)) + sqrt(5))**2) + (sqrt(245) + 1)**2 + sqrt(320) + -1 + sqrt(5) + -1 + sqrt(20)\/sqrt(4) + sqrt(5).\nAnswer: 26*sqrt(5) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6090, 6097, 6106, 6117, 6130?\n\"Answer: x**2 + 4*x + 6085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 4*r**6 - 28*r**5\/5 + 4*r**3\/3 + 26. Find q such that a(q) = 0.\nAnswer: -1\/3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -33*c**2\/5 - 52332*c\/5 + 9516\/5 = 0.\nAnswer: -1586, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 0*f + 36 = 0. Suppose -3*m + 5*a + 56 = 0, -5*m + f*a = -4*m - 16. Solve m*n - 21*n = 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*p + 84 - 84 + (-3*p + 2*p + 3*p)*(1 - 2 - 2).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 82, 123, 164?\n\"Answer: 41*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167*1251.\nAnswer: -208917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2. Let b(y) = y**2 + 3. Determine b(a(z)).\nAnswer: 4*z**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 759768863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -16*f**2 - 5089*f - 253. What is b(-318)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2078.57 + -2143. Let u = f - -65. Let a = u + -0.5700043. What is a rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w + 198 = 229 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21805017*x**3 + 14*x**2 + 501*x - 93.\nAnswer: -130830102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 14 = 8*l. Let n(v) = -2*v**2 - 8*v**3 + 13*v**3 + 7*v**2 - 2*v**l + 11*v + 6. Is n(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1159968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(80\/4))\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 0.7. Let f = -3 - -3.9. Let m = l + f. What is the third smallest value in 2\/7, 0, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 288 = -0*y - 3*r, -4*y + 225 = -3*r. Calculate the remainder when y is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55210 != -55269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) 5 (c) 0.2234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2. Suppose 3*p + 7 - 13 = 0. Suppose 5*q - p = 13. Let j(t) = 4*t**2. Determine q*c(m) - 4*j(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 39, 63, 93?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8000 divided by -100.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 510400 and 319000.\nAnswer: 2552000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 70*i - 491. Let b be l(7). Which is smaller: 42\/191 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 5*a + 5. Let j(q) = 2*q - 2. Let n(f) = -2*b(f) - 5*j(f). Let x = -2 + 4. Let h(k) = 2*k**x + 12 - 12. Give h(n(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3038?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2771 (c) -34361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0755639295 - 34.0755642995. Let o = -34 - x. Round o to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 28. Suppose 2*w - 861 = 3*s, 4*s - w = w - 1150. Let g = 401 + s. Calculate the highest common factor of a and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65 - 234?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -9.9139597089846.\nAnswer: -9.9139597089846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63884*u**2 + 127737*u**2 - 63876*u**2 + 18*u**3.\nAnswer: 18*u**3 - 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029387527 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50494 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67\/3 - -22. Let i = -101497 + 101498.8. Which is the third smallest value? (a) -1 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6816 - -7761. What is the greatest common divisor of 35 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4 and (6\/176)\/(3 + 436\/(-144)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -2*h + 14, -3*a = -2*h + 3. What is the greatest common divisor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004922008574 rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.2 (c) 886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -198\/7. Which is the nearest to -2? (a) 1\/2 (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 7. Give d(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 3. Let h(i) = 3*i + 11. Let x(a) = 3*h(a) + 8*v(a). Calculate x(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*k + 127 = -102*k + 5*c - 164, -k + 4*k + 240 = 4*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -415874 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*q**2 + 171*q**2 + 37*q**2 + 73*q**2 to the form m*q**2 + y + a*q and give m.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1.4. Let d(p) = p**2 - 5*p + 3. Let o be d(4). Which is the closest to o? (a) f (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + (-172)\/(-20). Let c be 29\/w - ((-100)\/36 - -3). Let j(m) = 6*m**2 - 3*m. Let h be j(c). Calculate the greatest common factor of h and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11253 (base 9) in base 2?\nAnswer: -1110101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/24)\/(2\/(-15))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwbwwwb. What is prob of picking 4 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 17*d - 26. Which is smaller: 46\/45 or d?\nAnswer: 46\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 7:17 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -692*j - 4*j - 23664 for j.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157504.\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-5)*145\/232*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8e6 + -cb?\nAnswer: 81a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20061 (base 7) in base 9?\nAnswer: -6573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 949 - 634. Suppose -5*v = x - 50, -d = -4*x - 2*v + 5*v. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.1693?\nAnswer: 0.1693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-80)\/42 + 2). Let q be 8*1*(-8)\/16. Let c be q\/(-20)*(-10)\/(-3). Which is greater: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758.23 plus -2?\nAnswer: 1756.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -1. Suppose 0 = -4*z + 5*o + 15, 3*z = -2*o + 17. Calculate the remainder when z is divided by 1\/(d - (-15)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/5)\/84 + (-1)\/(-7). What is the nearest to l in 34, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 833*x - 833*x + 3*x**2 + x**3. Let m be h(-2). Let q be ((-2)\/3)\/(5 - 0). What is the third smallest value in q, m, 5\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2, -0.7, 11\/17, -5\/27?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**4 + 332*b**3 + 371*b - 1719597 with respect to b.\nAnswer: -4*b**3 + 996*b**2 + 371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -127666 * -34.4\nAnswer: 4391710.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 4*o + 4. Let q(p) = -p**3 + 5*p**2 - 5. Let a be q(5). Let x be c(a). Suppose x = 2*w - 2*t, 17 = 5*w - 2*t - 53. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 1. Let x(j) = 7*j**2 - 9*j + 20. Let k(y) = 6*r(y) - x(y). What is the units digit of k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -83, -382 in ascending order.\nAnswer: -382, -83, -29, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -6 + (-2 - (0 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -245 + 145 - 8 - (2 + -1 + -10).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -3*m + 1873. Let r = -195 + m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4081280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 7. Let l(h) = -2*h - 5. Let f(v) = 5*k(v) + 7*l(v). Suppose 2 - 5 = -r. Does 2 divide f(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2227)\/236062)\/((-2)\/4)?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 5*v**2 + 2*v - 6. Let k be x(5). Suppose 27*o - 31*o + k = 0. Do -2\/27 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1146 and 5.\nAnswer: 4.8854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 7. Let j(a) = -3 - a**2 - 17580*a**3 + 7 - 13419*a**3 - 5 + a. Let l be j(x). Round l to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1370369556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)\/l*(l\/((l\/(l\/l**(2\/29)))\/l))\/l*(l*(l*l*l\/(l**(5\/6)*l))\/l)\/(l*l*(l*l\/l**(-3\/13)*l)\/l))**49 assuming l is positive.\nAnswer: l**(-568939\/2262)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29988673 - -20914673. What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30.8 - 33. Let o = 2.5 + g. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*y + 4*k - k, 2*y + 9 = -k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39385 - 39377. Let n(g) = 5*g - 39. Give n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9144 is divided by 1303?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2964867 and 3516?\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8*n = -6. Solve -n = -2*x - 4*v - 7, -x - 15 = 5*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 12*j**3 + 8*j**2 - 3*j - 8. Let u(l) be the first derivative of l**4 + l**3 - l**2\/2 - 3*l + 310. Determine 3*b(p) - 8*u(p).\nAnswer: 4*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46)\/(-9) - 5)*1. Suppose -12 = 3*w, -24 = -4*b + 2*w + 3*w. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/5 and 29\/11527?\nAnswer: 57635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 56 = 11. Let q be 2 + (-3)\/(s\/33). What is the smallest value in 3, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 16*k**2 + 17*k - 27. Let h be v(15). Suppose -h*o - 4*o + 1498 = 0. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/48078108 and 13\/36.\nAnswer: 48078108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -2\/7*c**2 - 9 + 2\/21*c**3 - 6\/7*c. Solve y(t) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4176 and 699.\nAnswer: -2919024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 204 + -200. Suppose -56 = -4*x - 5*j, -27 = -t*x - 2*j + 17. Sort 4, 6, x in decreasing order.\nAnswer: x, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/9 - 45\/5. Which is the third biggest value? (a) -28 (b) 1\/6 (c) -0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -11*j**3 - 597*j**2 - 171*j + 7. Determine w(-54).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -6. Suppose 5*u - v = u. What is the first derivative of -d**3 + u + 3*d**3 - 4*d**3 wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 0*u)*(-1 + 0 + 0) - 81*u - 92*u + 64*u - u + 0*u + 3*u.\nAnswer: -105*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + i**4 - 2*i**4)*(-3*i + 7*i - i) + 0*i**5 + i**5 - 3*i**5 - 2*i**2 + 2*i**5 + 2*i**2.\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*y + 159*y - 84*y)*(3 - 2 + y + 4).\nAnswer: -6*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1427*g + 1637*g - 146*g**2 - 3064*g.\nAnswer: -146*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 106099.\nAnswer: -17\/106099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*p - 26 = 0, 2*j = -6*p + 2*p + 16. What is the hundreds digit of 1 + -2 + j\/(-12)*-753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -0.56, 0.4, 5, -5, -362, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 2 - 6 + 3)*(-178760 - 1706*z + 178760).\nAnswer: 5118*z**2 + 1706*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*y + 9, 14*y + 11 = 2*n + 9*y. Let a(s) = s**3 - 2*s**2 - 4*s - 6. Calculate a(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98097.8 to the nearest 100.\nAnswer: 98100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 967 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/8)\/l)**(-24))**(-31))**9 assuming l is positive.\nAnswer: l**(-7533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8415608666 to five decimal places.\nAnswer: -0.84156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 7*y**2 - 8*y - 8. Let g be r(-6). Find the first derivative of g - 4 + 4 - 9*z + 6 wrt z.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*(2 - 35\/20). Sort -3, 4, h.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 5*c**2 + 2*c**2 - 7*c**2. Let i(o) = 7*o. Give m(i(u)).\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01294 and -889?\nAnswer: 889.01294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 - 2. Let t = 1.1 + -0.1. Let y = -134311 + 671553\/5. What is the closest to t in f, 8\/3, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 2*k**2 + k**4 - 2*k**4 + (-69 + 36 + 49)*(-8*k + 33*k**4 + 8*k + (-4*k**2 + k**2 + 4*k**2)*(0*k - k**2 + 0*k)).\nAnswer: 510*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20 = -y. Sort 2, 4, y in increasing order.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 549? (a) 2 (b) -4 (c) 40 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*l + 17 = -0, q - l + 1 = 0. Suppose 38*v = 17*v + 63. Solve 2*b + a + v - 12 = 0, 0 = -q*b + 2*a - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3138 - 3168. Which is the closest to w? (a) 1\/6 (b) 4 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -23. Let w be (-12)\/(-162)*9\/(-3). Put w, 0.05, b in descending order.\nAnswer: 0.05, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 6009496 in ascending order.\nAnswer: -2, 2, 6009496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 4)*(-2*j + 6*j - j) - j - 2*j + 10*j + (-4*j + 3*j + 0*j)*(-3 + 2 + 2) in the form n + c*j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 665800 rounded to the nearest 10000?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20352?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97152390 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -11, -9, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (84\/56)\/(6\/(-16)). Let o be (37 - 1)*y\/(-8). Solve -2*i = -4*t - 4, -5*i + 0*t - o = 4*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eye when three letters picked without replacement from liiyelillloiliivlye?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -518*f**2*r**2 - 237*f**2*s + 2*f*r**3 - r**3*s wrt s?\nAnswer: -237*f**2 - r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 + m - 1. Let v(s) = -7*s**3 - 6*s**2 + 9*s - 7. Determine -v(f) + 6*z(f).\nAnswer: f**3 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/35080534 + 729166437727\/12137864764. Let p = -56\/173 + d. Let a = 60 - p. What is the closest to 2 in 4, -3\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17456 + 17672. Solve -l*p + 62 = -185*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - -1. Let c be (-4)\/i - 8\/(-3). Let h be (-2 + 12)*1\/c. Solve 5*v + 30 = x, 0 = -x - 3*x - 3*v + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19610.2 to the nearest one hundred.\nAnswer: -19600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24546, -49167, -73806, -98469, -123162, -147891?\n\"Answer: -l**3 - 3*l**2 - 24605*l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -220531 (base 7) in base 5?\nAnswer: -2214213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:27 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2 + 2. Is (3\/(-6))\/(l\/(-26)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 (base 11) in base 16?\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p + 1322. Let b be (-1)\/(-10)*p\/(-4). Let m = 163\/5 - b. Calculate the common denominator of 43\/12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/60 - q**2\/2 - q. Let t(s) be the first derivative of r(s). Let w(d) = -d. Determine w(t(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17100*c + 17102. What is h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 74*r = -h + 11*r - 70, 722*h - 29 - 7 = 727*h + r for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -24*p**2. Let s(d) = d**2 - 3. Give c(s(i)).\nAnswer: -24*i**4 + 144*i**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/23 or -3528?\nAnswer: -3528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 4*y**4 - 4*y**4 - 3*y**3 + (0*y**2 - 13*y**2 - 4*y**2)*(-4*y**2 + 3*y**2 + 0*y**2).\nAnswer: 15*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l + 107. Calculate m(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + x + 2912 = 0, 3*q + 2*x + 2916 = -x. Let c be (0 + (3 - 2))*-1653. Let o = q - c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5.9, 2, -0.1, 1, 1\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 9*o**2 + 11*o - 10. Suppose -28 - 22 = -5*s. Let k be t(s). Let i = 2 - k. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1109771, 2219541, 3329311, 4439081, 5548851?\nAnswer: 6658621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b**5*t**2 - 323676*b**3*t**2 - 25331*b*t**2 + 15*b*t - 2*b + 3*t wrt b.\nAnswer: 160*b**3*t**2 - 1942056*b*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857.\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - d**4 + 4*d**4 + (1 + d**2 - 1)*(-1 - 2*d**2 + 1) + 491*d**4 - 26*d**4 - 49*d**4 + (-1 + d**3 - d**3 - d**3)*(3 - 3 - 2*d).\nAnswer: 418*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42514926.\nAnswer: 2, 3, 17, 61, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46645.1 - -49875. What is s rounded to the nearest ten?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(209) - sqrt(209))*1 - sqrt(209))*4*-6)\/((-2*sqrt(1980) + sqrt(1980))\/(sqrt(10)\/(sqrt(2) + sqrt(32)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -848460 (b) -5 (c) -3.1 (d) -2\/19 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/44 and -61\/4756.\nAnswer: 52316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 6*y**2 - 3*y + 107. Let b be d(-8). Suppose 0 = -s + b*g - 9, 18*s - 9 = 13*s - 3*g. Solve -5 = -c, s = x + 7*c - 2*c - 29 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2904684.114 to the nearest one thousand.\nAnswer: 2905000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -2. Let l = -28 - y. Which is bigger: 5\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 5*l - 50*l.\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.2 + -68. Let v = -0.2 + 0.3. What is the nearest to -1\/2 in v, 4, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2 - 50. Let t(a) = -9*a**2 + 40. Let o(f) = -4*h(f) - 5*t(f). Let w(s) be the first derivative of 2*s**2 + 1. Determine w(o(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1 - 311*v + 313*v - 6 - 3. Let n(k) = k**2 + 5*k. Let s be n(-6). Let j(t) = 2*t - 7. Determine s*p(z) - 7*j(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44196 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 107*y + 3. Let d(b) = -1224*b**2 - 2. Determine a(d(t)).\nAnswer: -130968*t**2 - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 196635721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 71815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/6)\/7*(-12)\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 27. Let t(g) = -g**3 + 8*g**2 - 5*g + 6. Calculate the remainder when t(7) is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 8*l + 1. Let r be 48\/3 - 8\/1. What is y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116355?\nAnswer: 3, 5, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 p when four letters picked without replacement from qsoxpssswosooo?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/5 - 52*p**3\/3 + 857. Factor n(f).\nAnswer: -4*f**2*(f + 65)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + t - 2)*(2*t - 6*t**2 - 2*t)*(1 - 1 - 2*t) to q*t**3 + x*t**4 + p + c*t + v*t**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25368.57711 less than -389?\nAnswer: -25757.57711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -5*t + 464. Let w(u) = -10*u - 28. Let p be w(-4). Calculate the highest common divisor of t and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 1. Let a be 277*1 - 65\/(-13). Let c = a - 277. Let t(q) = -6*q + 3. Give c*m(u) + 2*t(u).\nAnswer: 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 3. Let m be t(1). Suppose -58 = -m*r + 46. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*v - 2525 = -51*v. Let d = 982 - v. Calculate the remainder when d is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/48*((-2)\/(-4))\/((-10)\/20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182239\/77 less than 15354?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 9, -0.1, 167\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 31670924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 93*t - 901. Calculate n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 15, -g - 94529 = -0*x + 2*x. Let f = x - -25102. Round f to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2590 < -2592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 + 6)*28\/1540.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/((-126)\/16))\/(8\/28). Suppose 2*t = t - 4, -2*v + 240 = -u*t. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 33 = 37*t. Let q be 2\/(-4) - t\/2. Differentiate 5*n - 13*n + q - 14*n with respect to n.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 10*p + 1. Let m(c) = -7*c. What is -3*l(g) - 4*m(g)?\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(-5*sqrt(684)*-4*2)**2 + -2)*6.\nAnswer: -19699230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/15 and 89\/1218414.\nAnswer: 6092070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 3*s + 12. Suppose 16*u - 2*u = 70. What is the remainder when (-3 - u\/(-10))\/(3\/(-138)) is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -38. Let v(z) = -2*z**l - 8*z + 3 - 4*z**2 + 3*z**3 - z**2 + 4. Let g(h) = 3*h**3 - 6*h**2 - 7*h + 6. Calculate 7*g(y) - 6*v(y).\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x - 24 = 48*x. Suppose -x*t = -4*r - 1796, -11*t + 15*t - 2*r = 1794. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185721 is divided by 92858.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205 and 3274350.\nAnswer: 134248350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/20 + p**4\/12 - p**3\/6 - 10*p**2 + 2*p. Let q be m(0). Calculate the common denominator of 37\/2 and 6\/2 + q\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989737 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151\/17 + 1561\/170. What is the nearest to -3 in 0, y, 27, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.785 * -5.7\nAnswer: 21.5745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 n when three letters picked without replacement from kmnmkknnkkkf.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 17 - 9)*(33557*w + 32 + 8 - 33558*w).\nAnswer: 6*w - 240","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149280 and 3240.\nAnswer: 4030560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 56.71. Let t = v + 0.19. Which is the smallest value? (a) t (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*102790957.\nAnswer: -205581914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4 + 0 + 10 + 9*t - t**2. Let a be p(10). Let l(y) = -y**3 - 3*y**2 - 2*y + 2. Let u be l(-2). Solve w = -3 + 4, -a*w + 10 = -u*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 3*b**2 - 3*b + 5. Let u be n(2). Let a be 4\/1 + 2\/1. Find the third derivative of -6*r**u - 2*r**4 + 7*r**2 + a*r**3 + 5*r**4 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 14, -2, -36, -94, -182, -306?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2602*s**2 - 34*s**4 - 96 + 2602*s**2 wrt s?\nAnswer: -136*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011111 (base 2) to base 9.\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-12)\/32)\/((-3)\/(-24))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from bstftlt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/(98\/(-135) - -4*(-34)\/(-170))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrurrrcrcccd. What is prob of sequence dr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -8*j - 9. Suppose 0 = -2*k - 3*o - 8, k = -0*k - 5*o + j. What is the least common multiple of 12 and 10\/k*42\/(-6)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knnixrbrk. What is prob of sequence kxrn?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.099182 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/23 - -10\/207. Let a = 57.9 + -58. Sort p, a, -0.3 in descending order.\nAnswer: p, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361 - -139. Let y be g\/(-11) - (-4)\/(-22). Suppose 2*b + 3*q = 4, -3*q + y = 3*b - 2*q. Solve 4*t = -0 + b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81469927.\nAnswer: 7, 11, 137, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l - 10. Let i be n(-6). Let r = i - 24. What is the first derivative of -11*y**2 + 9 + r*y**2 + 8*y**2 wrt y?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(153) + sqrt(153)*2)*-1)\/(sqrt(576)*2 - sqrt(576)).\nAnswer: -3*sqrt(17)\/8 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 36 - 17 - 42 + a - 1977*a**3 + 1970*a**3 to the form o*a**2 + v + p*a**3 + h*a and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and -59474.723?\nAnswer: 59474.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (-14 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1209650?\nAnswer: 6048250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/6 + -1\/24. Which is the nearest to 0.1? (a) 23 (b) x (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 25*r**2 + 21*r - 48. Let y be a(3). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 455, 695, 935, 1175, 1415?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15177 - 11817 = 140*v for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6 - (3 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 1, l: 2, e: 3}. What is prob of sequence lyl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*n + 4374 = -54*n - d, 16 = -4*d. What are the prime factors of n?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2 - 7. Let r = 0 + 0. Suppose v - g = -3*v + 23, r = -3*g - t. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 747372198?\nAnswer: 2, 3, 233, 534601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298?\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*m**2 + 62*m - 30.\nAnswer: -2*(2*m - 3)*(7*m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66411527 is divided by 966?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (-4*sqrt(152) + sqrt(152))*1) + (sqrt(152) - (sqrt(152) - -4*sqrt(152)*-4)))\/(3*sqrt(40)\/(sqrt(180)\/sqrt(4))).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5934568.438488906 - -5933689.43849. Let f = -879 - r. Round f to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m**(-3\/8)*m))\/m*(m*m\/(m\/((m**(-3\/2)*m)\/m))*m)\/m)\/(m*m*m*m**(1\/3)*m)**(-1\/23) assuming m is positive.\nAnswer: m**(-517\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + i**2 - i - 1. Let q(t) = -12*t**3 - 5*t**2 + 5*t + 5. Let v be ((-28)\/3)\/(4*8\/(-2016)). Let k = v + -587. Calculate k*q(g) + 5*m(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.22 or 43\/63?\nAnswer: 43\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2147 - 2147.2. Which is the closest to 1? (a) y (b) -2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107834664243.2 and -25.5.\nAnswer: 107834664217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-1)\/2 - -3)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -1134224?\nAnswer: -1134141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + o = 2*h + 23, 32 = -5*h + 4*o. Let c(u) = -5*u - u**2 + 2953 + 2*u - 2954. Determine c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/(1\/5). Suppose i*v + 4*u = 12, 7*v = 3*v + 3*u + 19. Is (v\/(-8))\/((-2)\/436) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10791, -21585, -32379, -43173?\n\"Answer: -10794*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7 - 7) + 4 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 + 7*b - 5. Let h be (-72)\/48 - (-10)\/(-8)*-2. Calculate the remainder when q(9) is divided by (1 + -1 + h)\/(23\/460).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10168231?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 2*f + 2*f - 2*f - f + 0*f + (2 - 3 + 2)*(-2*f - 1 + 1) as t*f + x and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Suppose 0 = 5*s - 20, 0 = 4*g - 4*s + 1 + m. Let p = -5 - -10. Which is the second smallest value? (a) p (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 16 = 127165*t - 127168*t, -w = -5*t - 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1101000011101010?\nAnswer: 1101000011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 87 (b) 5\/8 (c) 0.1 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let q(x) = 68931*x - 2442. Let t(n) = -113*n + 4. Let v(g) = 2*q(g) + 1221*t(g). Give v(l(i)).\nAnswer: -222*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.3 + 17. Let b = 0.6 - i. What is the nearest to -2\/5 in -5, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19950\/525*(-4)\/8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -339*r**4*t**2 + 5*r*s*t**2 - 6*s*t - 199*t**2 + 2*t wrt r.\nAnswer: -1356*r**3*t**2 + 5*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.053 - 4.053. Which is the closest to -0.1? (a) 1.3 (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151285532 a multiple of 5102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*j + 151240, 3*t + j - 99108 - 14338 = 0. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -y. Let v be (-500)\/y*6\/(-5). What is the greatest common divisor of v and 320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 326184563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = i - 72, 2*h - 3*i = -h + 69. Let b = h - 23. What are the prime factors of 1\/(-2) + (-330)\/b?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91920368 to the power of 1\/2, to the nearest integer?\nAnswer: 9588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0057 and -384.\nAnswer: -2.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3225\/56 + 633\/14. Find the common denominator of -57\/4 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201*r*x**4 - 3300*r*x + r + 93*x**5 + 2*x wrt x?\nAnswer: -2412*r*x**2 + 1860*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - 3\/(-6))*(-790)\/(-160) and -65\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*d = 39, -66 = -4*u + 4*d - 2*d. Let y(f) = -6*f**3 + 0*f**3 + 4*f**3 + 15*f**2 + f**3 + 4. Let o be y(u). Solve -o = 4*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 3. Suppose -2 = -2*u - 8. Let l be n(u). Let f = 3 - 0. Solve -f*w + 0 = l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.049 and 12.3.\nAnswer: 12.349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -2050, -5405, -10106, -16153?\nAnswer: -23546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 1, j: 3, x: 1, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -276, 156, 588, 1020, 1452, 1884?\n\"Answer: 432*z - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 240\/112 - 2\/14. Let m be (4 - 1)*h\/1. Let a(c) = m - 2 - c + 38*c**2 - 37*c**2. Give a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 2 - (3 - 85\/30). Is 1 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210\/41 or 1369?\nAnswer: 1369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4352776 is divided by 241820?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w + 8. What is n(-11)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7503838 rounded to the nearest 100000?\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + w - 3. Let j be y(-2). Let v(k) = 2*k - 5. Let u be v(j). Let o(q) = q**2 - 5*q + 4. Let l be o(4). Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:59 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 211110121222?\nAnswer: 211110122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from {e: 3, x: 2, l: 10}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 4. Let z = -12 + 9. What is a(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 26*x + 453 - 111 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 0*s**3 + 3\/2*s**2 + 11*s + 0*s**5 + 0*s**4 - 1\/3*s**6 + 0. Differentiate v(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7\/2*y**2 - 5\/2*y - 3\/2*y**3 + 1\/2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 345, 294, 241, 186, 129, 70?\n\"Answer: -r**2 - 48*r + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.251 and -30?\nAnswer: 28.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31967 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z. Suppose z = 4*g - 66 - 10. Let w = -19 + g. Let a(q) = q**3 - q**2 - 9. Determine a(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 divided by -20?\nAnswer: -167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51425\/1870*(-80)\/(-88).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1354, -1353, -1352, -1351, -1350?\nAnswer: -1349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + y + 2. Let q(n) = -4*n**2 + 6*n**2 - 2*n - 24 - 22 + 43 + 0*n**2. Let g be (-1 - (-2)\/(-6))*-3. Calculate g*v(u) + 3*q(u).\nAnswer: 2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 3799*u**6\/30 - 1170*u**2 + 291*u - 18. Differentiate l(h) with respect to h.\nAnswer: 15196*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*d = -1327, -j - 53*d + 334 = -55*d. Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 386 divide 9780378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1622.\nAnswer: 6488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r + 9*r + 4*r)*(0*r**3 + 0*r**3 - 2*r**3) + 5*r**4 - 2*r**4 - 2*r**4 in the form v*r**2 + m + i*r + l*r**3 + w*r**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b**2 + 3*b + 1. Let c be n(-2). Which is smaller: c or 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16422 - -16483. Solve -o*c = -9*c - 416 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2072.671646 + 2072.7. What is t rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/15 + 24\/18. Let z(g) be the second derivative of 0 + 0*g**o - 2\/3*g**4 + 6*g + 7\/20*g**5 + 0*g**3. What is the third derivative of z(x) wrt x?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 3)*200\/(-12). Suppose 5*o + 5 = d. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/214134 and 45\/817?\nAnswer: 174947478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 83*a + 620. Calculate i(-7).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 1745617*z**3 - 19985*z**2 - 4*z - 1.\nAnswer: 60*z**2 - 10473702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/72 and 75\/30434.\nAnswer: 1095624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vveepbvvvvjmbbj. Give prob of picking 1 j and 1 p.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3, m - 6*u = -7*u + 2737. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let x(v) = -10*v. Suppose 972*a = 988*a + 576. Let p be (-24)\/(-2)*2\/6. Calculate a*k(d) + p*x(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-360)\/(-38)) - (-752)\/(-3008)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2451 by -4.\nAnswer: -2451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 2956 (c) 2\/17 (d) -20 (e) 0.3 (f) -2\/33 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, m: 5}. Give prob of picking 2 m.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -875*g - 7000. Give c(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 4*x)*(2 + 2 - 2) + 460*x - 2519*x - 8891*x.\nAnswer: -10946*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*-1 + 0))**2 - (sqrt(468) + -5 + -2*sqrt(468) + 3).\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2215 + 27258. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005507 rounded to four decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77082.993 - -77119. Let o = i - 36. Round o to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 573738*y**3 - 53*y**2 - 2*y + 217455981 wrt y.\nAnswer: 1721214*y**2 - 106*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*j**4 - 240.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 7*l - 4*l + 30, -3*l = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12836*r - 4*y = 12839*r - 3, -r = -2*y - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - 0.2. Let p = s + 0. Let y = -0.0294 + -3.9706. Which is the smallest value? (a) p (b) -2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177 + 217. Calculate the remainder when 15 is divided by (-4 + 1 + 4)*c\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358677838 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let s(r) = -90*r. Let x(c) = 18*c. Let f(w) = 5*s(w) + 24*x(w). Calculate f(a(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2. Let a = -18 - -25. Let j(z) = -21 + a*z + 21. Determine j(m(g)).\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110100010110001101 (base 2) to base 12.\nAnswer: 616725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/8 - 2*w**3 - 27*w**2\/4 + 154*w. Solve j(i) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-24) - 0)\/(7 - (221\/102 - -5))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 5*v. Let k be m(4). Suppose k*o + 0*o = 20. Let t = -0.3902 + -0.0098. Which is the third smallest value? (a) t (b) 0.08 (c) o (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2345634 and 12?\nAnswer: 4691268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 118*p + 119*p + 26 = 235*p - 0, -6*y - 10 = -2*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14790, -59154, -133088, -236586, -369642, -532250, -724404?\n\"Answer: u**3 - 14791*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 877\/(-8) - (-15)\/(-40). Let v = l + 164. Let g be (-1)\/9 + (-12)\/v. Sort -3, -0.1, g in decreasing order.\nAnswer: -0.1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z)**29\/(z\/(z*z*z**(3\/4)\/z*z*z)*z\/(z*z\/z**(2\/9))) assuming z is positive.\nAnswer: z**(-1961\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (-2 + (16 - 12) + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 6*h**2 + h - 14. Let y be x(-4). Suppose 0 = -4*a - p - y + 42, 0 = -3*p. Let j(w) = -w + 6. Determine j(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 64 = -4*l, 307 = -3*l + 5*y + 355 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/1)\/((-1)\/3*6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -113, -118, -121, -122, -121, -118, -113?\n\"Answer: a**2 - 8*a - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00345 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3142106 (base 7) to base 14\nAnswer: -9c73d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.045 - -30.955. Let s = -27 + o. What is the biggest value in s, 15, 4\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-138)\/(-24) + 3\/(-4). Let m(f) = 2*f - 7. What is the units digit of m(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5885 is divided by 576.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.531 + -0.531. Which is the second smallest value? (a) 2\/95 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 397, 590, 767, 922, 1049, 1142?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -3*b + 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3134915, 3134964, 3135015, 3135068, 3135123, 3135180?\n\"Answer: z**2 + 46*z + 3134868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 92.9723ug?\nAnswer: 0.0929723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 43 = -3. Calculate the least common multiple of (-44)\/(-10) - 12\/m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4 - 3716*p**3 - 36892*p**2 - 121452*p - 132336 = 0.\nAnswer: -919, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2144242955?\nAnswer: 5, 71, 1453, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + 2*k**2 - 45 + 21 - 2*k**3 + 4*k + 22 in the form p + s*k**4 + z*k**2 + y*k + u*k**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 1 + 3*n - 6*n - 3*n. Give r(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-141.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2914239 divided by -551.\nAnswer: -5289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/(y\/((((y*y**(-5))\/y)\/y)\/y)*y))**(6\/37)*(y*y\/(y**1\/y))**(-7)*(y*y**(-1)*y)**(-15) assuming y is positive.\nAnswer: y**(-1109\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 2. Let o be 0 - (0 + 0 + -2). Let z be u(o). Suppose -164*j = -718*j. Solve 6 = -z*f - j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iioizooioiiiiaoa. What is prob of picking 3 i and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2 - 49*d**2 + 21*d**3 - 22*d**3 - 14*d + 40*d**2. Calculate j(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:44 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543820 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -p + 4, -5*z + 0*z - 7 = -p. Suppose p*h = h + 10. Suppose 0 = -t + h - 3. Calculate the remainder when 19 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-288))\/((-3)\/(-12))*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*t + 4308, -12*m + 14*m - 2879 = -5*t. What are the prime factors of m?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 - 2701755*a**4 + 6217648*a**2?\nAnswer: 120*a**2 - 64842120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 24*i - 10. What are the prime factors of h(4)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100237*m**2 + 28284*m - 1?\nAnswer: 200474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 23*i**2 + 233 - 427.\nAnswer: -23*i**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 1, q: 5, g: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 74*c**2 - c. Let h be q(1). Let y = h - 36. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:15 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g + 18. Let o be y(3). Suppose -14*a + 10*a + 8 = 0. Solve b = -a*b - o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6577163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -4) + (-2 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 1631919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 77*t**2 - 5*t - 5. Is 17 a factor of w(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1464 and 9.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(9\/(-2)))\/((-4)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (225\/80)\/((-335)\/(-804)). Let b(t) be the first derivative of 8 - 17\/3*t**3 + c*t**4 + 0*t + 0*t**2. What is the third derivative of b(a) wrt a?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481\/564 - -35\/188. Which is the nearest to q? (a) 1\/7 (b) -1 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1268, 5 in descending order.\nAnswer: 1268, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 54 = -3*x, -l + 2 + 16 = 3*x. Suppose -s = 6 - 22. Suppose -3*v + 3*r = 2*r - s, 2*r - 4 = 0. Solve -2*u = -v*u + l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -80\/2314569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-255)\/(-10)*(9344\/(-1872) + 5) and -22\/9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4058*t**6 + 23925*t**3 + 104382588*t**2?\nAnswer: -486960*t**3 + 143550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 5. Let v be x(3). Sort 3, v, -1, 4 in descending order.\nAnswer: 4, 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4731 or -1\/16?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 0 + 0)*(-1 + 2 - 2 + 0 - 3 - 1 + (0 + 3 - 2)*(0 + 0 - 5)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 74 = -526. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145232 = -15*v - 144062 for v.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6248306, -6248312, -6248318, -6248324, -6248330, -6248336?\n\"Answer: -6*r - 6248300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 3\/5, 424, 0.004, 2?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101000010100001010000 (base 2) to base 5\nAnswer: -314233130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9, 1, -23, -69, -143, -251?\n\"Answer: -f**3 - 2*f**2 + 5*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:47 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 837 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-128)\/(-26) + -5)\/(12\/144*-6). What is the nearest to 4.47 in -0.5, 1, -4, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86 and 146?\nAnswer: 6278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95*58\/551*6\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 563597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*z - 136, 324 = -5*z - 7*s + 4*s. Let g = -92 - z. Let n = g - -30. Solve -n*a - 2 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 122*(-57)\/(-24)*(-8)\/(-3830). Let s = t + -2\/383. Which is smaller: 0.2 or s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/5461368 and -97\/96484168.\nAnswer: 289452504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4332 divided by 289\nAnswer: -4332\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 2*b - 2. Let k(m) = 8*m + 1. Let u be k(1). Let j(y) = -y**2 + 9*y - 23. Let l be j(u). Let o = l + 25. Give i(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 65, 94, 121, 146?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406454 is divided by 25374.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 19 = -5*a + p, -4*a - 38 = -5*p. Let v be 24*4\/(-12)*a - -1. Suppose 2*x = 3*b - 138, b - v + 12 = x. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p + 13685 = 78*p. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60342*l - 195390 with respect to l.\nAnswer: -60342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 85766869387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 + 4*v**2 - 2*v + 7. Let f be a(5). Is f\/(-4) - (-15)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, a: 2, m: 4}. What is prob of sequence pma?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20543936 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 - (-4 - (-128)\/20)\/(36\/(-160)). Find j, given that 0 - m*j - 2\/9*j**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h**3 + h**2 - 3*h - 10. List the prime factors of q(-3).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.1 + -25\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -29*i. Let r(l) = 10*l + 3. Determine r(c(n)).\nAnswer: -290*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.46 + 1.55. Let l = b + 71.91. Let f = -70 + l. What is the third biggest value in 1\/4, 4, f, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/451512 and 23\/774?\nAnswer: 19415016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -39*p**2 - 25*p + 31*p - 6*p - 23*p**2. Let l(d) = -19*d. Calculate l(n(r)).\nAnswer: 1178*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -21 + -8 + 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 290952 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3 - 5*x - 4*x**2 - 8*x**3 + 2*x - 4*x**4 - x**5 + 2*x = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 + -12 + 17) - (-2 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24*0.119\nAnswer: -2.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q - 24 + 24)*(-4 - 10*q + 4) + (-2 + 2 + 2*q**2)*(1 + 2 - 4).\nAnswer: 58*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3202 and 91225.\nAnswer: 88023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306609655 = -4*b - b + 5*v, 0 = 5*b + 2*v + 306609620. Let o be (-1)\/(-4) - b\/8. Suppose 2465241 = 4*f + o. Round f to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 4. Suppose 3*h + 6 = d, d + 3*h = -d + 12. Let j be x(d). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416.0332 centuries in years?\nAnswer: 41603.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2, -4, 5\/2, -115.2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.48 - -0.02. Let s = 7 + 5. Let l = 94 - 90. Which is the fourth smallest value? (a) j (b) s (c) l (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 1. Suppose 3*s + 8 = -1, -2*n - 3 = -s. Let f(w) = w**2 + 3. Calculate n*j(q) - f(q).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -419229\/40900 - -1\/10225. Let w = -442 - -308. Calculate the common denominator of -1 + 1 + w\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 69*y + 173 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-36 - (-19 - -13))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 10*p + 19. Let b be -8 - (-4 + (11 - 4)). Let h be y(b). Which is smaller: h or 39?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -331\/624?\nAnswer: -331\/624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 1807\nAnswer: -65052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 242*a + 2054. What are the prime factors of c(-6)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4431 - 0.3231. Which is smaller: 0.32 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x - 2*j, -5*j = 1 - 21. Let f be (3 + (-20)\/6)*x. What is the nearest to 0.1 in f, -0.1, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 a factor of 2359044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/9 (b) 9 (c) 0 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 1:59 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500) + 6*sqrt(500))\/((sqrt(480) + (sqrt(480) + -1*sqrt(480) + sqrt(480) + sqrt(480))*1)\/sqrt(12)).\nAnswer: 35*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/7)*k**(2\/11))\/((k**(2\/17)\/k)\/((k*k\/(k\/k**(-1\/3)))\/k))*(k**(-1\/2))**(-10\/11)\/(k*k\/(k*k**(1\/9))*k**(-3)) assuming k is positive.\nAnswer: k**(32104\/11781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {g: 2, c: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 183 + 7c?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**5\/2 + 2307*w**4\/2 + 121339*w**3\/2 - 4233755*w**2\/2 - 49630500*w - 238281750 = 0. Calculate w.\nAnswer: -410\/3, -9, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 783444.\nAnswer: 783444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5512325658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 - (-4 + 7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1327186765 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1443 divided by 8676\nAnswer: -481\/2892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = -266117 + 759277. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - 1 + u**3 + 2*u + 6*u**2 - 5*u. Suppose 13*x - 20 = 18*x. Determine k(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 8. Solve -c = i*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 + 3.95. Let o = 2787 + -2787.1749. Let y = 0.0749 + o. What is the third smallest value in 1\/2, -2\/5, y, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 4, i: 2}. Give prob of picking 1 m and 1 f.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -122 in -83\/2, 0.4, 6\/7, -3, 5?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + (-4 + sqrt(28) + 0 + (sqrt(28) - (0 + sqrt(28))) - ((sqrt(1008) - (sqrt(1008) + sqrt(1008)*-1))*6 - sqrt(1008)))**2.\nAnswer: 464*sqrt(7) + 23563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794827?\nAnswer: 11, 19, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - (sqrt(65) - (sqrt(65) - -5*(sqrt(65) - sqrt(65)*-1))) - sqrt(65))\/sqrt(5).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1717354 divided by -1318.\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -0.63. Let d = p + 0.72. Which is the nearest to 2\/3? (a) -1 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 30. Let l be x(32). Let y(b) = -24*b**2 + 2*b**l + 10*b**2 + 8*b**2 + 5*b**2. Let w(h) = 23*h**2. Determine y(w(f)).\nAnswer: 529*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j**3*v + 23286*j**3 + 3036*v**4 wrt v?\nAnswer: -6*j**3 + 12144*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + q + 2. What is h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.643966 kilograms?\nAnswer: 7643.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183*b - 36*b - 15*b)*(4*b**3 - 2*b**2 + 2*b**2) as l + w*b + x*b**4 + a*b**2 + m*b**3 and give x.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 2656512.\nAnswer: -2390860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2 - 3*s + 2. Let v be l(4). Let g be (-10680)\/(-54) - 4\/(-18). Let d = v + g. What is the remainder when d is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77, 201, 407, 695, 1065?\n\"Answer: 41*s**2 + s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2233873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/4500 and 83\/630?\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -577 - -577.000000026. What is c rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**3 + 11*d**3 + 3*d**3 + (-d + 2*d - 4*d)*(-2*d**2 + d**2 + 2*d**2) + 8*d - 9*d**3 - 8*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 545 - 464. What is the second derivative of 2944*a**2 - 16*a**4 - 2944*a**2 - 21*a**4 + a**5 + 6*a**4 + y*a wrt a?\nAnswer: 20*a**3 - 372*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17888 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 > -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3328.1+0.1\nAnswer: 3328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(55)\/sqrt(5) - (0 + sqrt(1584)).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465829*m**3 - 10*m**2 + 33*m + 59.\nAnswer: 2794974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 14. Calculate the remainder when 28 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -154691, -154688, -154685, -154682?\n\"Answer: 3*s - 154694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -294, -468, -644, -822?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*l + 3899 - 358 = -8947 for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 + 96316*x**2 + 96318*x = 0. What is x?\nAnswer: -1, 0, 48159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3797 + 4593.\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21860003 (base 9) to base 8.\nAnswer: 50360764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 6 (b) 0.4 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*n + 3 = 0, -2*q - 7*n + 10*n = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 10*r**2 - 21*r. Determine z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 3:27 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1451 - -7266\/5. Which is the fourth smallest value? (a) 3 (b) 0.5 (c) j (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42713 - -0.2?\nAnswer: -42712.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7705?\nAnswer: 5, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - f - 3. Let d(j) = j**3 - 1. Let u(i) = i**3 - 11*i**2 - 11*i - 11. Suppose -2*p + 19 = -5. Let s be u(p). Determine s*o(y) - 3*d(y).\nAnswer: -2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**6)\/(f**(6\/5)*f))**(-41)*(f**0)**(-23\/5)*f*f**(2\/15)*f**(-8)*f*f assuming f is positive.\nAnswer: f**(-605\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17 - -17358700?\nAnswer: 17358717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*r + 18*r + 79*r + 40*r.\nAnswer: 318*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82753223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, s: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - m - 3*m + 7*m + (5 + 2 - 5)*(2*m + 4*m - m))*(-8*m - 7*m + 7*m) to t + i*m + b*m**2 and give b.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87.2 + 87.133. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*l + 4, -5*k - 4 = 6*l - 4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**5\/6 + 35*h**4\/6 - 45*h**3\/2 + 145*h**2\/6 - 25*h\/3.\nAnswer: 5*h*(h - 1)**3*(h + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18016 rounded to the nearest 100?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/(-232))\/(405\/3960) and 33\/203?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39638 is divided by 485?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6 + 7*o - 3 + o**2 - 1 + o**2. What are the prime factors of w(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*x + 137 = -3*q, -2*q + 3*x + 53 = 0. Suppose 4*p - 2*p - 10 = 0. Suppose -12 = -d - p. Calculate the greatest common divisor of q and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10*(-54553)\/58140 + 9\/(-1) and 139\/84?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 51. Let t be z(-25). Let y = 24 + t. Is -21\/19 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (9 - 22)) + (4 - -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14493 is divided by 344.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 23, -3\/8, 0.4, -33?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + c - 18 = 2*i, 5*i - 4*c = -31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5893 and 33?\nAnswer: 194469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*q + 783*q + 790*q + 2802*q - 5145*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 45*w - 3*z - 21 = 0, w + 4*z - 22 + 31 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -145, 1, 1\/2, -388, -2\/79, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1052*j + 36 = 1048*j - 2*k, 0 = 5*j - 3*k + 34 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-42)\/9)*33. Is 10\/i + 388\/44 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31.74 or -2.104?\nAnswer: -31.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-13 + 6) - (-1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*q - 40, -i = -0*q - q + 11. Let x be 0\/i - 4*-1. Solve 2*w - 3 = 3*w, -x*r + 1 = w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 14 = 24*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 15. Let a be g(2). Is 21 a factor of (-2 + (a - 2))*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5870692 to the nearest integer?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 4, -3\/2, 3 in ascending order.\nAnswer: -3\/2, 0.6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27668, 110326, 248088, 440954?\n\"Answer: 27552*i**2 + 2*i + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1227 (base 8) to base 10.\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*t - 13. Let a be 12\/42 - 26\/t. Find the second derivative of -4*q**4 + 2*q + 2*q**4 + 4*q**a wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from qllqlivvvpniq.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = 5*s. Suppose -30 = 5*v - 35. Let b(l) = -2 - 2 + 2*l + 1 + v. Calculate b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let v(s) = s. Let b(d) = 22*d. Let y(l) = -b(l) + 5*v(l). Calculate z(y(w)).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 55*n**2 + 14*n + 7440. What is t(-57)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 12:46 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8825 (base 12) in base 3?\nAnswer: 202120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) -50 (b) 0 (c) 1\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 2*c = -3*j + 2, -5*c + 12 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14706 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 - u**4 + 29*u**2.\nAnswer: -240*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100101100 + -10000011010?\nAnswer: -101101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 16*h - 6. Let u(z) = 64*z**2 - 7*z - 32. List the prime factors of u(h).\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) - 27\/(-36)*-2. Put 0.21, -4, o, -1\/4 in descending order.\nAnswer: 0.21, -1\/4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*y + 93, 4*y - 136 = 55*v - 51*v. Let u(a) = -2*a**2 + a + 4. Let o be u(-4). Is v less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -8, -45, -164106 in descending order.\nAnswer: -2, -5, -8, -45, -164106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2641 - -2629. Let y be (-2 + 5)*(-4)\/3. Let j be (-6)\/z + -1 - 2\/y. Which is bigger: j or 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Suppose 4*s + 3*m - 210 = m, -5*m = 5*s - 250. Let q(r) = 15*r - 98*r + s*r - 106*r. Determine q(h(b)).\nAnswer: -134*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 680 divide 163879181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -660484 (base 9) to base 16.\nAnswer: -6034c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1016 + 593. Suppose -1685 = -9*q + w. List the prime factors of q.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*f - 1 = 9, 0 = -2*p - f - 1. Let u(r) = 2*r**2 - 3*r + 2. Let y(h) = -h. Calculate p*y(n) + u(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**3\/3 + 1959*s. Let r(y) = 25*y**2 + 2*y - 4. Determine k(r(u)).\nAnswer: 50*u**2 + 4*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 65*y + 35. Solve -m = -2*s - 5*m - 12, 3*s + 3*m + y = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*u - u + 18, -3*v - 4*u = -13. Which is the closest to v? (a) -1.4 (b) 2\/7 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - y = 1144, -r - y + 0*y = -286. List the prime factors of r.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -1\/6 (c) -68 (d) 3 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1001 + 3001\/3. Which is the closest to u? (a) 2\/25 (b) 1\/6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1401*a**3 - 666*a**3 - 641*a**3.\nAnswer: 94*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 0.1 (b) -70 (c) 4 (d) -2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7696 is divided by 1276.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**6\/120 - n**5\/12 + n**4\/12 + 2*n**3\/3 + 7*n**2\/2 - 6. Let p(b) be the second derivative of i(b). Calculate p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 8 - 3)*(-2 + 7 - 3)*(4*w - 2*w - w) to the form y + i*w and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 567739.935us in weeks?\nAnswer: 0.0000009387234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -7\/4*a**4 + 0*a**2 + 0 + 23*a + 0*a**3. Let r(b) = 3*b. Give l(r(y)).\nAnswer: -189*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 7. Let l be w(-7). Suppose l = -2*g + 7*g. Suppose g = -3*v - 2*v. Which is bigger: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61519300*h*v**3 + 2*h*v**2 + 25*h*v + 23*h + 1257*v - 2 wrt v?\nAnswer: -369115800*h*v + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 4*g - 2. Let o = 98 + -101. Let y(i) = 1 - 9*i**2 + 2 - 7*i + 0. Calculate o*y(a) - 5*w(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/2 + (-1)\/1. Suppose -z + 28 = 4*d, 5*d + 3*z = d + 36. What are the prime factors of (-4)\/(d\/3) - f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -89*u - 116. Let m be b(-9). Is 69 a factor of 40\/(-24)*-3 + m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0)**42\/(o*o*o*o**(4\/23)*o*o*o**(1\/5)*o*o))**23 assuming o is positive.\nAnswer: o**(3982\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 364723\/7371 + -4531\/91. Let h = a + 2\/81. What is the second biggest value in 1\/3, h, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 2*z + 59. Does 7 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 93584 = -41*s. What is s rounded to the nearest one hundred?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {i: 3, t: 1, g: 3, v: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-15) + 2\/6. Solve 0 = t - 6*t - 2*u - 23, h = -2*t - u - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 15 - 20 = z, -5*t = -5*z - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*h + 0*h - 6 = 0, -3*y + 4 = h. Solve p - y = -2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*o + 35*o - 6*o**2 + 39*o - 140 + 2*o**2.\nAnswer: -4*(o - 7)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/170 and -77\/136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**7\/105 - y**6\/15 + y**5\/6 - y**4\/6 - 4*y**2 + 6. Let o(x) be the second derivative of k(x). Let o(n) = 0. Calculate n.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 8) to base 16\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511383274 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11a + -915333?\nAnswer: -915214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*-247.\nAnswer: 444.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2990965kg to grams.\nAnswer: 299.0965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27277 times 0.3?\nAnswer: 8183.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4943664792 to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (12 - 15) - (5 + -3 + -14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156505161?\nAnswer: 3, 52168387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 + 0*k**6 + 0*k**4 + 0*k + k**2 - 1\/20*k**5 - 1\/105*k**7 + 0*k**3. Find the third derivative of w(q) wrt q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -27.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612) + (sqrt(612)*-2)**2 + sqrt(17) + sqrt(17) + (2*sqrt(187) + sqrt(187))\/sqrt(11).\nAnswer: 11*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8930 is divided by 3813?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p - 4. Let d(f) = f**2 - 5*f + 3. Let w be d(3). Give c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22616 and 11246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 2) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191182, 2, 1 in descending order.\nAnswer: 2, 1, -191182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.024 and 9607.\nAnswer: -230.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 4*r - 2*p - 11 = 0, 4*p - 5 = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 11:46 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892 at most as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**2 - 7*d - 7. Let q = 23 + -25. Let n(i) = -i**2 - i - 1. Let s(g) = q*y(g) + 14*n(g). Let p(l) = 11*l**2. What is p(s(k))?\nAnswer: 44*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvohvvvvoe. What is prob of sequence ho?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:35 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7281, -7281, -7249, -7167, -7017?\n\"Answer: 3*s**3 - 2*s**2 - 15*s - 7267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -103, -163, -227, -295?\n\"Answer: -2*i**2 - 50*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.439 + 0.045. Let f = k + 0.434. What is the second smallest value in 3\/2, f, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1042\/771105?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2469 + 2472. Put 0, c, 1, -28, -2\/9 in ascending order.\nAnswer: -28, -2\/9, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, g: 10, z: 7}. Give prob of picking 4 g.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20223780 rounded to the nearest ten thousand?\nAnswer: 20220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*k - 2*x + 20, k + 2*x - 3 = 0. Let w = 213 + -212. What is the fourth smallest value in w, k, 12, 1\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/470*(-5)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.5101 months in centuries?\nAnswer: 0.42209175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 14 = -7*q + 2*q, 5*q = 3*l + 22. What is the lowest common multiple of 45 and l\/((-135)\/80) - 2\/6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65029219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -27*j - 4\/15*j**5 + 1\/6*j**4 + 0*j**2 + 2\/9*j**3 + 1\/15*j**6 + 0. What is p in t(p) = 0?\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61265\/3 + (-96)\/(-288) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 2. Let g be 60\/(-80) + 26\/(-8). Let a be (416\/78)\/(g\/(-6)). Give u(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f = 3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - t**2)*(-2375683 - 612*t - 2*t**2 + 2375683).\nAnswer: 2*t**4 + 612*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 10:03 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w - 40 = 9*w - 38*w + 15*w + 8*r, -2*w - 35 = 5*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 27648507.921315.\nAnswer: 27648508.221315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/2079 and 83\/2027949.\nAnswer: 18251541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 6*u + u)*(112 - 28 - 20).\nAnswer: -256*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541 times -35?\nAnswer: -53935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**2\/2 + 323. Let l(q) = 137*q**2 - 49*q**2 + 82*q**2 - 18*q**2. Calculate l(a(h)).\nAnswer: 152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*t + 25*t + t**4 + 3*t**3 - 51*t - t**3 - 38*t**2 as h*t**3 + i + p*t**4 + l*t + z*t**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 20*a + 377. Let s be l(0). Suppose 0 = 2*n - g - 799, g - 5*g + s = n. List the prime factors of n.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 1}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -63*r**2 - 32*r. Let g(w) = 440*w**2 + 220*w. Let a(f) = 8*g(f) + 55*v(f). Let k(s) = 2*s**2 - 2*s + 2*s. Calculate a(k(o)).\nAnswer: 220*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*g**2 + 3)*(-2 + 9 - 14)*(1 - 52*g + 0 + 40*g).\nAnswer: 252*g**3 - 21*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 7*q**2 - 5*q - 4. Let a be 41 + -3 + (-1 - 6). Suppose 5*y + 4 = 3*p, 30*p - 4*y + 24 = a*p. Give f(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaea. Give prob of picking 3 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112020020201 + -21?\nAnswer: -112020020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/153, 1\/8, -2\/9, -11324 in decreasing order.\nAnswer: 1\/8, 2\/153, -2\/9, -11324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-65)\/(-26) - 6\/(-4). Let b(w) = -w - 1. Let j(p) = -4*p**2 - 4*p + 3. Let h(a) = 4*b(a) - j(a). Let g(n) = -2*n**2 + 4. Give q*h(r) + 7*g(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(99) + (sqrt(99) - (-2*sqrt(99) - sqrt(99)) - sqrt(99)))\/sqrt(9)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 10*c - 32. Suppose -2*b + 30 = -3*u, 2*u = -3*b - 2*u + 45. Let o be s(b). Suppose 4*k = 0, -g = g + 2*k - o. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 30 = -n. What is the lowest common multiple of n and (2 - 13\/5) + 180\/50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 663, 2684, 6053, 10770?\n\"Answer: 674*x**2 - x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (360 + -145 + -67)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:39 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, 3, -6, -2 in increasing order.\nAnswer: -6, -5, -2, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 809\/8 - 101. Suppose 10*d = 212 + 108. What is the nearest to 0 in d, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (9 - 15) + -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 144 + (1 - 0 - 1). Let w(f) = -f - 9 + 32 - 11. Let l be w(-6). Calculate the greatest common factor of o and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40a (base 11) to base 9.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 4, -8, -0.2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 11 = -4*h, -1 = -2*k - k + 5*h. Let p be (-2 + k\/(-2))*0. Let d(x) = 2*x**2 + p*x**2 + 32*x - 32*x. Let o(m) = -12*m**2. What is d(o(b))?\nAnswer: 288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:00 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1744 and 1328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146 + 185. Suppose -660 = i*b - 42*b. Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 19. Let g(b) = 45*b**2 - 23*b**2 - 2*b - 21*b**2 - 2 - 13*b**2. Let o be g(-1). Does 7 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 5. Let u be o(4). Suppose t - u = -0. Let q(n) = -4 + 6*n**2 + 2 + n + 1. Calculate q(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959433?\nAnswer: 3, 319811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w = -1092 - 238 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2452, -2457, -2462, -2467, -2472?\n\"Answer: -5*l - 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55268 and 541036?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let a(d) = -2 + 1 + 3 + d. What is the units digit of a(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 417 + 34?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 116*y**2 - 582*y**2 - 69*y**2 - 571*y - 146*y**2 - 219*y**2 wrt y.\nAnswer: -1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 98, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 615 + -266. Suppose 10*u = p - 169. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 128. Let n be -3 - (-2 + -1) - (-2)\/5. Let p = 9 + -4. What is the nearest to n in 1, s, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/3 (b) -0.5 (c) -27 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 92*h + 146. Let x be i(47). What is the greatest common divisor of x and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5 = 2*m + 1, m - 12 = 4*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/((-5)\/45). Let i = d - -2. Determine z so that 6*z + z**3 + 0 - i*z**2 - 2 + z**3 - z**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5\/3 - 126592*i**4\/3 + 2004077746*i**3\/3 - 28037849564*i**2\/3 + 29368838696*i - 26697410160 = 0.\nAnswer: 2, 10, 31641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79839\/1516219 - -2\/79801. Is c at most as big as -4\/365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lwl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*c + 26 = 0, -4*x + 8*x = -c + 26. Suppose -4*j + 5*j = x. Let t = 8 - 6. What is the least common multiple of j and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - u**2 + 0)*(-1 + 1 - u) + (-5*u + 5*u + 2*u**2)*(-25*u - 4 + 4) - 4*u**3 + 0*u**3 + 5*u**3 as g*u + d*u**3 + y + l*u**2 and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1696 - 2167 - 269)*(r - r - r**2) + 4*r**2 - 27*r + 27*r.\nAnswer: 4136*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 26, 46, 66, 86?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2\/7 + 1106096*a\/7 - 9482880 = 0. What is a?\nAnswer: -276584, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (15 + (3 - (13 + -2 - 8)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/27 and 31\/51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 2*n - 6. Let g be 7 + (-7 - -6 - 2). Calculate l(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333.2182 millimeters to centimeters.\nAnswer: 33.32182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-216) + 55\/(-495).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 67 - (-36 - -23) - (26 - 38)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -132. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26789 is divided by 702.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418834747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 - 0. Suppose 0 = -4*t - z + 77, -4*t - 3*z + 4*z = -f. Is (37\/4)\/(1\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2576*0.039455\nAnswer: -101.63608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 22*d**3 - 34*d**2 - 27*d + 8. Calculate m(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -69 + 83*m + 64 + 55*m. Let f(n) = -70*n + 2. Let t(h) = -5*f(h) - 2*x(h). Let i(q) = -q. Calculate t(i(d)).\nAnswer: -74*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + 6807?\nAnswer: 6786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 2\/7 (c) -2\/11 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/29, 0.0626, 2?\nAnswer: 0.0626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaaxwxcxxaxxccxoo. What is prob of sequence cxo?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let f(d) = -4*d - 2*d**i + 5*d - d. Let q(o) = -2*o**2. Calculate f(q(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let m = 5.2 - -2.8. Is m smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfcc when four letters picked without replacement from {b: 2, e: 1, f: 9, c: 4, p: 3}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o - 42. Let m be l(-4). Let v(k) be the second derivative of 0*k**3 + 0*k**5 - 5*k + 0*k**2 + 0*k**4 + 0 + 1\/120*k**m. Find y such that v(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 2*d. Let w be v(-3). Suppose k = -w + 24. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 4 - 1)*(-5 + 2 + 2) + 0 - 1 - 1)*(-4*u + u + u)*(2 + u - 2) to the form l*u + h + r*u**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 28054313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -226604907 to the nearest 1000000.\nAnswer: -227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6820, 13798, 20776, 27754, 34732, 41710?\n\"Answer: 6978*p - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 16*u**2 + 29*u + 29. Let t be j(-17). Let l = -428 - t. Calculate the highest common divisor of 130 and l.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 104*x**3\/3 + 201*x**2\/2 + 87*x + 1. What is the derivative of a(n) wrt n?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 54. What is i(0)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 3*k - 13. Calculate t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 15. Let s be 7\/(84\/(-87)) + 3\/(-4). Determine h(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62257370 divided by 889391.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-9)\/(-4)) + (-5)\/(-4). Suppose 0 = -5*g - 4*f + 40, -u*g - 2*f - 12 = -6*f. Let s(t) = 6*t - 3*t + 5 + t - g. Calculate s(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**2 - 8*r**2 + 15*r**2)*(1 + 3 - 3)*(-31*r**2 - 49*r**2 + 12*r**2).\nAnswer: -1224*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2304330330 + 24?\nAnswer: 2304330404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426610 is divided by 189.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/((-8)\/(-4)))\/1. Suppose -3*p - 6 = -s*k - k, -4*p - 8 = 5*k. Suppose 2*q = -3*d + d + 2, k = 4*q + d - 10. Solve -q*h + 3 + 0 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46497 is divided by 574?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 7*n**5\/20 + 61*n**3\/6 - 3180*n**2. Let t(y) = -3*y. Give t(u(v)).\nAnswer: -63*v**2 - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.1, -3\/755, -1, 452.2, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*s + 884*s + 942*s = 2552 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 64 = 3*t. Let i(a) = -16*a**2 + 17*a**2 - 6*a**t. Let h(x) be the first derivative of -7*x**2\/2 + 1. Determine i(h(f)).\nAnswer: -245*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 2:41 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002699508 rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 4*l + 2555. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let w be 1*(2 + 2*p). Let f = -11\/32 + 3\/32. Which is smaller: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-2)\/(2\/(-3)). Let s(q) = q**3 - 14*q**2 + 30*q + 27. Let p be s(11). Sort -7, p, w, 5 in descending order.\nAnswer: 5, w, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*s - 407*s = 867*s - 4296. Let -117*n**s + 132*n**3 - 9*n**5 + 224\/3*n**2 + 112\/3 - 128*n = 0. Calculate n.\nAnswer: -14, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p + 12. Let w(o) = -o**2 - 1. Suppose 10*a - 21 = -11*a. Let c(s) = -4*s**2 - 4*s - 2. Let r(q) = a*c(q) + p*w(q). What is i in r(i) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + u. Let k(f) = 10*f**3 + f**2 + 5*f. Let j(d) = k(d) - 5*z(d). What is the remainder when -1*(-12)\/1 + -2 is divided by j(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5752*k + 1205*k = -6049*k + 3912*k + 927588 for k.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 41*f**3 + 23*f**2 - 18 + 0*f**3 - 25*f**2 wrt f?\nAnswer: 123*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/5 + 366*p**2\/5 - 1849*p\/5 + 2226\/5 = 0. What is p?\nAnswer: -371, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15064214 is divided by 621?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uzuiww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10982, -21955, -32928, -43901?\n\"Answer: -10973*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (90\/(-54))\/(3 + 2\/(-4)). Sort -1\/2, l, 22\/5 in descending order.\nAnswer: 22\/5, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-6)*(-13 - -10). Let b be m\/((2 + 0)\/5720). What is b rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73, -434, -1401, -3274, -6353?\n\"Answer: -50*l**3 - 3*l**2 - 2*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 12. Let g be o(-7). Let z be ((-3)\/(-2))\/(g\/(-4)). What is the units digit of (3\/(-15))\/(z\/(-465))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-2*r + 0*r + 7*r).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*j**3 - 582*j**2 + 900063*j - 1 wrt j?\nAnswer: 2754*j - 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089008 plus 3.42561?\nAnswer: 3.336602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -19*b + 5. Give o(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37708, -75408, -113108?\nAnswer: -150808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1264 + 15\/(-3) + -6 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2057)*2 - (5 + 1 + sqrt(2057) + sqrt(2057))) + (1*(-1 + sqrt(2057)) - ((sqrt(2057) + -1 - sqrt(2057)) + 0)) + -3)**2.\nAnswer: 594*sqrt(17) + 18594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2419431850 to the nearest integer?\nAnswer: 49188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 4.5. Let m = 0.24 - 2.24. Let f = -1.7 - m. What is the smallest value in f, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -29, -0.0609?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}