diff --git "a/data/dm_maths/full_data_1/2180_11255.jsonl" "b/data/dm_maths/full_data_1/2180_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2180_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the millions digit of 144724601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -510073.9365 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205\/2 - -89. Let f = 11 + h. What is the common denominator of f and (-6)\/39 - 3345\/312?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9675 < -9676?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16a7 (base 13) to base 5\nAnswer: -101343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2441531172.\nAnswer: 2, 3, 203460931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 - b + 7. Let r be q(4). Let t = 111 - r. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35869 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*m - 6*m**2 + 23*m)*(-4 + 3 + 2 + (0 + 0 - 1)*(2 + 4 - 5) - 1 - 1 + 5 + 2 + 3 + 4).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -24063.411 to the nearest ten.\nAnswer: -24060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + sqrt(2) + -3 + (sqrt(2) - sqrt(22)\/sqrt(539)) + -5).\nAnswer: -78*sqrt(2)\/7 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3651*g + 206*g - 310*g.\nAnswer: -3755*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 0 + 0 + 0*k**2 + 3*k**2 + k**2 + (-7 + 0 + 3)*((-2*k + 157 - 157)*(3*k - 2*k + 0*k) - 7*k**2 + 0*k**2 + 3*k**2).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*t + 183*t**2 - 231 - 179*t**2 - 18*t - 7*t wrt t.\nAnswer: 8*t - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tssibb. What is prob of picking 1 b and 1 i?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 + 1 = 0. Let c be 5 + -1*a + -1. Solve -3*n = -p - 3, -3*n - c*p = 2*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2\/23, -1\/4, 23, 1\/4, 2\/7?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, 4, 14, 36, 76, 140, 234, 364?\n\"Answer: f**3 - 3*f**2 + 6*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19957 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, y: 4, z: 1}. Give prob of sequence hyh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1809\/6 - 1\/2. Let j = -893\/3 + m. Which is smaller: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -2466134.21747.\nAnswer: -2466139.21747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99603566*g*m**2 - 739*m**2 - 36143 wrt g?\nAnswer: -99603566*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - v + 5 + (4*v + v - 3*v)*(2 - 4 + 4) + 3 - 4 - 2 + 4*v + 5*v - 3*v - 4*v.\nAnswer: 5*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -590.8 - -591.3. Let q = -4.7 - -0.7. Which is the smallest value? (a) 4\/9 (b) q (c) -2\/9 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.84 + 4.24. Which is the biggest value? (a) 0 (b) -1\/2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19792 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 40*l**2 - 18*l - 704. Give t(-40).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*l + 27*l + 13*l + 2344 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 2*p + 0*p - 20*p**2 as x*p**2 + c*p + y and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 108.48 (c) 0.4 (d) -2 (e) 0.3 (f) -3\/5 (g) -0.335\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-12 - -15) - (7 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*a**5 + 5*a**4 - 1990*a**2 - 77614*a + 368 wrt a.\nAnswer: 2340*a**3 + 60*a**2 - 3980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -126 in -0.2, -0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -1\/4, 1, -79?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.495 - 0?\nAnswer: 372.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -18, -21, -24, -27, -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 6*g - 30. Let w(y) = 2*y**2 + 148*y + 2. Let r be w(-74). Solve r*b + b - g = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30 + s + 8*s**2 + s - 125*s**2 - 24 - 24 wrt s.\nAnswer: -234*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 0, -38 in increasing order.\nAnswer: -38, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 19 - 11 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-2)\/14*-7 - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (148 - 80)\/(10\/2195)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*a + 90, 2*n = -7*a + 3*a + 172. Calculate the remainder when a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let b(y) be the second derivative of y**7\/315 - y**4\/3 + y**3\/6 - 60*y. Let p(z) be the third derivative of b(z). What is p(d(o))?\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 - 14*p**2 - 24*p - 27. What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 0*w**2 + 48395*w + 5 - 2*w**2 - 48396*w. Let o be (0 - 2) + (0 - 2). What is f(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/92)\/((-180)\/(-5)*(-45)\/(-320)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4 (base 13) in base 15?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 7:48 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 + 9192*o**3*r**2*v - o**3*v + o**2*r*v - 2*o**2*r - 2*o*r**2*v + 181*o*r + r**2 wrt o.\nAnswer: 24*o + 55152*r**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/(-100) - 14\/(-2) and -9\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 1. Let t(f) = -4*f - 6*f + 4 + 4. Let x(a) = 8*c(a) + t(a). Let v(r) = -3*r**2. What is v(x(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 less than 0.9421?\nAnswer: 156.9421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/18)\/h*h**(-2\/47)\/h*(((h\/(h**(-13)*h))\/h)\/h)\/(h**(-14)*h) assuming h is positive.\nAnswer: h**(18623\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42510832, 42510831, 42510830, 42510829, 42510828, 42510827?\n\"Answer: -c + 42510833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68027330*o**4 + 2*o**2 - 3*o + 2676708?\nAnswer: 1632655920*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**4\/6 + 4*f**3\/3 + 4*f**2 - f + 47. Factor t(v).\nAnswer: 2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -648.\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -2*y + 3*f, 4*y = -f - 12. Let v be y\/4*6 - -5. Sort 4, -1, v in descending order.\nAnswer: 4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6720137.274 rounded to the nearest one thousand?\nAnswer: -6720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/40 and -73\/180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -215*y - 1100. Calculate t(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - d**3 + 6*d**4 + (-d**2 - 4 + 4)*(-16*d**2 + 34*d**2 + 4*d**2) to u*d**3 + b*d + s + r*d**4 + c*d**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125548 is divided by 266?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2\/7))\/b)\/(b*b**(-1\/3))*b**(-1\/4)*b**7)**(-1\/43))**42 assuming b is positive.\nAnswer: b**(-487\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 495.6127um?\nAnswer: 0.04956127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -159.31. Let u = -679.31 + 674. Let g = u - r. Which is the third biggest value? (a) -5\/4 (b) 4 (c) g (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 561 - 475. Let p be o\/129 + (-14)\/(-6). Solve -p*b = -4*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -53166, -106333, -159500?\n\"Answer: -53167*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 671 and 589303?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -4421322100?\nAnswer: -4421322110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -608.9 - -30.9. Let d = 578.14 + n. Which is the closest to d? (a) 2\/7 (b) 3 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -4, -2, 2, -2.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2780, -0.5, -4330?\nAnswer: -4330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u**2 - 16*u - 1. Let x be t(-4). Let w be 3\/3*(-18)\/1. Let f be (-5)\/w - 2\/4. What is the closest to x in 4, f, -2\/23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3977216, 3977327, 3977440, 3977555, 3977672, 3977791?\n\"Answer: p**2 + 108*p + 3977107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 7*f + 6. Let r be p(-3). Suppose -2*n - 1 - 5 = -4*z, 36 = 3*n + r*z. Find the third derivative of n*c**2 + 3*c**3 + 8*c**2 - 13*c**3 wrt c.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -44*h**3 + h**2. Let b be t(-1). Suppose b = 3*m - 72. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52\/3 of a week?\nAnswer: 2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -13*(2\/2 + -2). Suppose 15 = -0*a + 5*a. Let j = p - a. 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 the units digit of 78155996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8 - 27 + 4*w + 20. Let l be d(5). Suppose l*f + 105 = 8*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n - 14*n + 192 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 q when three letters picked without replacement from {e: 3, n: 10, q: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 23 = -4*n + 2, -5*n = -4*c - 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5 + 44*p**4 - 76*p**3 + 36*p**2.\nAnswer: -4*p**2*(p - 9)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*u = 40 - 76, -5*f - 63 = 7*u for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 820.05+516.62163\nAnswer: 1336.67163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 - 99*o - 15. Let k(n) = 13*n**2 - 149*n - 27. Calculate -8*c(t) + 5*k(t).\nAnswer: t**2 + 47*t - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1510 and 1270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1086 divided by -3.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 38*c**2 + 61*c + 18.\nAnswer: -(c - 9)*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*g + 16167587, k + 3*g - 8*g - 16167619 = 0. Let n = 194122777\/12 - k. Let p = 9294 - n. Find the common denominator of 13\/20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.454 and 25060?\nAnswer: 25058.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614131 (base 8) to base 13.\nAnswer: 71432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -276783*f**4 + f**3 + 2*f**2 - f + 3025848.\nAnswer: -6642792*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*k + 10, 4*i = 2*k - 4*k + 6. Let y(j) = -j**2 - 8*j - 3. Let h be y(k). Suppose -h*r + 5*v + 57 = 0, -r - 12 = 3*v + v. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 341 + -555. Suppose 4*c - 447 = 3*q + 5*c, -3*q - 456 = 4*c. Let x = q - m. Calculate the greatest common divisor of x and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32467347 divided by -99\nAnswer: -327953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1964 and 320.\nAnswer: 628480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (12 + 17 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*z**5 + z**2 - 4*z**5 + 0*z**2 wrt z?\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*y = -14 + 47, 2*m - 2398 = -218*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 11*h**3 - 887*h**2 + h**3 + 11*h**3 - 18*h**3.\nAnswer: -19*h**3 - 887*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/38)\/(439\/8341).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101100 - 10000110001001010?\nAnswer: -10000100110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24908 + 24948.244. Let p = 40 - f. What is p rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 60\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 684\/1140*-5*(-6)\/243?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13162 + -8705. Suppose 5*o = 582 - g. Is o\/(-3) - (-20)\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let p = y - -2. What is the units digit of (-3)\/p*(-2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 21 + 12)*(-15*g + 25*g + 2 - 3)*(4 - 4 + 1)*(-g + g + 2*g**2) to the form n*g + r + a*g**2 + h*g**3 and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3586 + 0.3946. Which is the closest to -2\/7? (a) r (b) -3 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 70. Suppose -5*o + 2*o = 15. Let v = o + y. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.5 (c) 93 (d) 2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(-2*q + 2*q - q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -3.3?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 e when three letters picked without replacement from {i: 1, m: 1, e: 5, y: 1, l: 1, p: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 21215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 8 = -b, 2*o + o = 5*b + 11. Let y(u) be the second derivative of -u**5\/20 - u**4\/4 - u**3\/3 - u**2\/2 - 2*u. What is y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10370 and 140300?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:57 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62\/15? (a) 66\/5 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a7 (base 11) in base 8?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -225, -220, -203, -168, -109, -20, 105?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208510, -417015, -625516, -834013?\nAnswer: -1042506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + (1 + 0 + 1)*(-4 - 5 + 2))*(-1 + 4 - 5 - 1 - 14 - 7 + (-2 + 5 - 4)*(1 + 1 - 1) + 4 - 1 - 5)*(4*n**2 - n**2 - 5*n**2).\nAnswer: -648*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:23 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41269, -82537, -123805, -165073?\n\"Answer: -41268*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -21. Let a = -685 - -697. Let i be a\/k - 3\/15. Which is bigger: 13 or i?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10959 + 7002805\/639. Let z = r - -22357\/1278. Which is bigger: z or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270 + 2. Suppose 82*k + y = 86*k. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-14 + -9 + 6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 711*w - 154. What is the units digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5636?\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23750856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3534, 7062, 10584, 14100, 17610, 21114, 24612?\n\"Answer: -3*q**2 + 3537*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of -1 + 1895 + 1 - (-259 + 263)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 - 20*w**3 - 20*w**3 + 73*w**3 - 17*w**3 + 3*w + 1 - 15*w**3 to i*w**4 + y*w**2 + b*w + a + k*w**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u - 10. Let z be s(-4). Suppose -z*h = -24 + 20. What is the units digit of (-692)\/(-8) - (3\/h - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86888 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 34074805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -492 - -463.1. Let b = a + 29. Which is smaller: b or 39?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2502269 is divided by 991?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*d - 20 = -0*d, r + 14 = 4*d. Suppose 5*w - 2*n = -63, 2*w + 37 = -w + 2*n. Let v be (-1)\/r*(-26)\/w. Is 2\/3 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/7167 and -41\/6.\nAnswer: 14334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 16. Let o be x(16). Suppose 0*a - 5*a + 20 = o. Solve 0 = -p - a*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 1. Let k(p) be the first derivative of p**3\/3 + p**2\/2 + 2*p + 107. Let g(j) = -6*j**2 - 2*j - 4. Let w(h) = -g(h) - 2*k(h). Determine f(w(y)).\nAnswer: 8*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 24. Let d = -0.1 + 5.1. Let q = b + d. Sort q, -0.3, -1\/7 in descending order.\nAnswer: q, -1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 719673 divided by 6\nAnswer: 239891\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2\/2 - z - 47804. Let a(n) = -2*n + 1. Let g be a(-1). Suppose 1 = -4*x - g. Let j(c) = 4*c + 5. Give x*j(m) - 5*p(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081732*d**3 + 2*d - 2*d.\nAnswer: -3081732*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -101904\/41 >= -2484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:21 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smfmtfsmmmtfsss. Give prob of sequence stfs.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 - (-67 - -66)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51194347*i + 64170454 wrt i.\nAnswer: -51194347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -480544 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in -4, -114, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/2 + 46*n - 1058 = 0. Calculate n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2027*j**5 + j**4 - 331*j**3 - 51971743*j wrt j.\nAnswer: 40540*j**3 + 12*j**2 - 1986*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -151*j + 145*j. What is the units digit of 993 - 16\/(-8)*(j - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p - 51192161 = -75*p - 153*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/(-32)*-8*(-2)\/(-6). Let x(l) = 20*l - 12. Let c(r) = -38*r + 25. Let q(k) = a*c(k) - 11*x(k). What is the derivative of q(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -623614 divided by -58?\nAnswer: 311807\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + (37 - (50 - -19))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (18 - 27) - (0 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**4\/3 - 44211*f**3 + 244343142*f**2 - 450263287620*f + 506237014728.\nAnswer: (f - 5526)**3*(8*f - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 57\/8 (b) 1\/6 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954 is divided by 303?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 1 + 4*t - 5 + 2.\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2371 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 4*c + 117, -2*v - 5*c + 54 = -7*c. Solve 9*i - 4*i = -v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d*(d*d**(-4)\/d)\/d)\/d))\/d)\/d**(-7\/6))**24\/((d**(-5)*d*d*(d*d**3)\/d*d)\/(d*d**(1\/2)*(d*d*d**1)\/d*d)) assuming d is positive.\nAnswer: d**(255\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2880 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 15 = 5*z. Suppose o = -z*o. What is the units digit of (-1)\/(3\/(o - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 13 = 2*z, 3*z + 12 = -0*z + 3*a for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -102*q**3 + 2*q + 1. Let p be k(-1). Let y = -227 + p. Let f = y + 211. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(160\/280)*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-4) - 1)*2. Let y = 197 + -149. Suppose 0 = -y*m + 37*m. Solve -q - 2 - f = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = -4*s. Let d = s - 37. Let g = d - -42. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3294 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 72. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-4)*4)\/(1814\/(-202) - -9) and -37\/1262?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/((-9)\/(-24) + 2703\/(-15912))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.38? (a) -1\/10 (b) -1\/4 (c) 2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let v(y) be the third derivative of -y**8\/40 - y**5\/60 + y**3 + 94*y**2. Let l(h) be the third derivative of v(h). Determine p(l(f)).\nAnswer: -1008*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 560256112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1.91?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 10210750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-11))\/(p**9\/p) assuming p is positive.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**2 + 28*z**2 - 12*z**2 + 20*z**2 + 5*z**2.\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 8*p + 150 = 3*i, 50 = i - 2*p. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l**2 - 32*l - 64. Determine i(5).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 6 + a**3 - 6 - 2*a**3.\nAnswer: -a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3 + 15. Suppose l + 4 + 1 = 0, 4*l + 8 = -r*f. Solve -2*m - 4 = d, f*m + d + 4 = -0*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1, -359.\nAnswer: -359, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let u(p) be the third derivative of -p**4\/12 - 4*p**3 - 65*p**2. Determine z(u(h)).\nAnswer: -8*h**2 - 192*h - 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -d - 56, -112 = 2*d - j + 10. What is the units digit of 4\/(-18) + d\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90384 + 77?\nAnswer: 90450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 70\/2 - (-117824)\/896. What is h in 21*h**3 + 507\/4 + 3\/4*h**4 + k*h**2 + 273*h = 0?\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 242.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((397\/44)\/(21*15\/420) - 12)*-1?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-573)\/(-8) + (-510)\/(-1360).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (11 + -11) - (49 - 2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39618149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 46*p + 95. Let u(s) = 247*s. Calculate i(u(w)).\nAnswer: 11362*w + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 166966726 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035065384 rounded to 7 dps?\nAnswer: 0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 10*z - 8*z + 2 + 3*z - 12*z.\nAnswer: -20*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 1259 - 722. Suppose 39 + h = 2*s. Suppose 5*z - s = 49. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/9 - 42672\/17145.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38839413163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 486118537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - f**2 + 3*f**2)*(1 - 3 + 0)*(730*f - 554*f**2 - 730*f).\nAnswer: -2216*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -238, -17, 342, 827, 1426, 2127, 2918?\n\"Answer: -2*p**3 + 81*p**2 - 8*p - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 2*p + 0*p - 3*p**2. Let n(l) = l. Calculate a(n(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6 + 1. Let w(i) = 4*i**2 + i - 1. Let j be w(l). Solve 0 = -5*u - 15, -j*b = u + u - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2. Let j(k) be the second derivative of 96*k + 0*k**2 + 1\/3*k**3 + 0. Determine r(j(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7848 and 648.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = 3*c + 409*u - 411*u, 2*c - 91 = -11*u for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Let g be a(2). Let y(f) = -3*f**g - 3*f + 3*f. Let p(b) be the second derivative of b**3\/6 - 4*b. Give y(p(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1033 (base 15) to base 2.\nAnswer: 110101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 65330.\nAnswer: 457310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3078266\/721 - -230\/2163. Let v = c - -4309. Let f = v - 839\/21. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268669\/11556 - 2\/2889. Let n = 9 - 1. Calculate the common denominator of 4\/n + 147\/(-51) and i.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 - 53*w**2 - 25*w + 35. Let a be h(11). Let k(x) = 15*x**2 + 2*x. Let l(u) = 45*u**2 + 6*u. What is a*l(s) - 7*k(s)?\nAnswer: -15*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 708 - 706. Suppose -4*b - 4*u + 3200 = 0, 2 + y = u. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 54 + 272 + 212 - 43 to the form b + n*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 6:14 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25533885, 51067779, 76601675, 102135573, 127669473, 153203375?\nAnswer: 178737279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7 = -1. Solve -3*w - 5*j = -2*j - 21, -a*j + 23 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*t + z + 13, 19 = 5*t - 2*z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31\/5 + 29\/5. What is the closest to -2\/19 in -2, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2329 is divided by 200.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -266, -214, -122, 22, 230?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + -2 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 20, -118*o + 119*o + 56 = -t for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115558695 + 3?\nAnswer: 115558698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from {d: 1, o: 11, l: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -6\/19*w**2 - 5\/57*w**3 - 25*w - 7\/190*w**5 + 23\/114*w**4 + 0 - 1\/57*w**6. Suppose t(a) = 0. What is a?\nAnswer: -3, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -eb07b?\nAnswer: -eb07d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let o be m(-4). Find the second derivative of -3*c + o*c**2 - 5*c**2 + 2*c**3 + c**3 wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -69*t**4 - t**2 - 8*t - 1577.\nAnswer: -276*t**3 - 2*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25438 and 46.\nAnswer: 25438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from ihx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**27\/(a**(-1))**(-14\/9) assuming a is positive.\nAnswer: a**(215\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 10) to base 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11466 - -11466.8489. Round f to 2 dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 926253.5ng?\nAnswer: 0.9262535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1\/1837 (c) -1\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/7, 271, 8?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, n: 2, c: 2, k: 2, x: 1, i: 1}. What is prob of sequence tkk?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*28540634\nAnswer: 14270317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1469 - 1104 = -34*w - 2287. Is w equal to -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - (-69)\/10)*4\/(-110). Is 0 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 7 + 9. Let n = r - 4. Let j be (5 - 1) + -1 + n. Solve 2*z = -z + 5*v + 6, 0 = 2*z + j*v - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 17*n + 12. Let w(l) = -24*l - 13. Let d(z) = -6*r(z) - 5*w(z). Calculate d(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262 divided by -14\nAnswer: -131\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*20\/72*6. Solve -j = n - 0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + 6*(-3 + (sqrt(147)*-4 + -4)*-3 + -3)**2.\nAnswer: 6048*sqrt(3) + 127230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:39 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -4\/11 (c) 8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(8)\/sqrt(4) + 4 - sqrt(4)\/(sqrt(18)*4))**2*4.\nAnswer: 22*sqrt(2) + 769\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-26)*(-87)\/(-522)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m + m - m + (7 - 3 + 2*m - 2)*(-32 + 37 - 360)*(-5 + 4 + 0) to the form s*m + r and give r.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3915 = -5*x + f, 5*x - 4052 + 152 = 4*f. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0503 in -4, -0.3, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -23.\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4. Let l(d) = -2*d - 41. Let w(b) = -2*l(b) - 18*y(b). Let h be w(-3). What is the closest to h in 1\/3, -2, 1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 4)\/(42\/(-3)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18820.\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 50, -2143, 7, 4 in descending order.\nAnswer: 50, 7, 4, 3, -2143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d + 0*d)*(383*d - 619*d**2 - 383*d)*(-1 - 5*d + 6*d + 5) as n*d**4 + w*d**2 + u*d + c + k*d**3 and give k.\nAnswer: 2476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 657 * 0.84\nAnswer: 551.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2*d**2 - 5*d + 8. Determine f(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 1832*p + 767217. Calculate h(-648).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 54. Which is the third biggest value? (a) -1\/4 (b) t (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6808*w + 5928. Let n(q) = -2724*q + 2371. Let y(r) = -12*n(r) + 5*p(r). Find the first derivative of y(j) wrt j.\nAnswer: -1352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = 0, 0 = 29*r - 25*r - 5*n - 245174. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -11 (b) -1\/4 (c) 41\/5 (d) 2 (e) -6 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a hour in minutes?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541562658.\nAnswer: 2, 3, 7, 13, 991873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7963, 15856, 23683, 31402, 38971, 46348, 53491?\n\"Answer: -7*b**3 + 9*b**2 + 7915*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-108))\/(128\/48).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -120, -141\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -171.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 + 35. Is (-6)\/d + -2 + (-68)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -5\/3*x**3 - 13*x**2 + 0 - 1\/60*x**5 + 0*x + 1\/2*x**4. Calculate l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (-322)\/294. Suppose -3*q - 402 = -5*j, 2*j = 5*j - 2*q - 242. What is the third biggest value in j, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 2*l**2 + 11*l + 5. Let r be f(-4). Let k = -53 + r. Solve k*u = -5*b + 1, b - 9 = 4*b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 704, 1617, 2896, 4541, 6552, 8929?\nAnswer: 11672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 41227439.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1042 (base 13) to base 8\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) 20 (c) -1584.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1102568 (base 9) to base 4\nAnswer: -2100220133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 0.0586214374.\nAnswer: -1.9413785626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 + -41 + 68 - (-4 - 20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2. Let h(k) be the third derivative of -k**7\/2520 - 7*k**5\/60 + k**2. Let s(w) be the third derivative of h(w). Give t(s(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 32*h - 29. Suppose 3*q + 16 = 5*q. Let s be z(q). Suppose -k + s = 19. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13284\/(-405))\/(((-198)\/45)\/(-11))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + 80\/(-14). Does 9 divide (4 - f)\/(1\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-232)\/(-24) + -9 - 136\/186?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + -1 - sqrt(242))*1*1 + 2 - (5*(sqrt(242) + sqrt(242)*-3) + sqrt(242) + 2 + 5)**2)*-3.\nAnswer: -4158*sqrt(2) + 58950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 119 and 0.023.\nAnswer: 2.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 22*d**7\/105 + 41*d**3\/6 - d**2 - 33. Let v(i) be the second derivative of t(i). Find the first derivative of v(g) wrt g.\nAnswer: 176*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ottto. What is prob of picking 2 t and 2 o?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201996 or 201997?\nAnswer: 201996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -23428?\nAnswer: -23431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*l - 27*l**2 + 13*l + 2*l**4 + 8*l + 2 + l**3 to q*l + x*l**2 + y*l**3 + r + d*l**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdrrrd. What is prob of sequence dd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1\/2*b**4 + 2\/7*b**5 + 4\/21*b**3 + 10 + 0*b + 0*b**2. Factor n(f).\nAnswer: 2*f**2*(f + 1)*(5*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83345.2 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g + 178. Calculate q(-39).\nAnswer: 646","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 2, z: 1, r: 3, j: 1, f: 5}. Give prob of picking 3 r.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.60296 rounded to zero dps?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -8. Let y be 2\/8*a - (-1)\/10. Let i be 0\/(2*-1) + 1. Sort 2\/5, y, i.\nAnswer: y, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 + -11 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-5\/11)*y)**(4\/17))**6 assuming y is positive.\nAnswer: y**(648\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -18. Let t = -16 + a. Let s(k) = k**2 + 5*k - 2. Let p be s(t). Solve p*j + 2 = 2*j + 2*n, j - 5*n + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t - 9. Let s be d(3). Let j be (2 - s\/5)*-6. Is 6 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -44, -56, -58, -44, -8?\n\"Answer: r**3 - 4*r**2 - 11*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 431409 and 891.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (6 - 2)\/2. Let a = h + -7. Is -5 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5049 and 41283?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13221*s**3 - 10*s**2 + 5*s - 10. Let l(k) = 8230073*k**3 + 6224*k**2 - 3112*k + 6224. Calculate 5*l(x) + 3112*t(x).\nAnswer: 6613*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 2*a + a + (0*a + 13*a - 9*a)*(12 + 12 - 11).\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-11))\/(s*(s\/s**19)\/s*s) assuming s is positive.\nAnswer: s**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.637 - -34.437316. Let i = -8.2 + 0. Let u = b - i. Round u to 5 dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1376890291?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzzzzmzmmzzzmmmzmzm. What is prob of picking 2 m?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/7 - 380*i\/7 + 18050\/7 = 0. Calculate i.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43328160 and 360?\nAnswer: 43328160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5914*i + 1495. Is d(16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 5*z - j - 6, z + 4*j = 1. Suppose -z*l = -v + 20, 4*v + 6*l = 3*l - 12. Solve 4*n = 2*n - a - 5, a + 1 = v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95580020 and 410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9715130849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(2*7\/(-2)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 2*o**2 - o - 3. Let b be z(3). Suppose -u - 63 = -5*w + u, b*w - 25 = -2*u. Let c = w + -12. Which is bigger: -1\/22 or c?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (74\/6 + 1)*42. Suppose 4*n - q = -4*r, -n - 4*n = -2*r + 252. Suppose g = -3*c - g + r, -2*g - 158 = -4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 24*z**2 + 30*z - 110. What is o(25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -62*z**2 + 9*z - 8. Let a(g) = 62*g**2 - 10*g + 7. Let r be (3 - 1)*3 - 2\/2. Let q(k) = r*x(k) + 6*a(k). Is q(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2032974383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 3*j**2 - j - 9. Calculate the remainder when 27 is divided by s(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201031953 to the power of 1\/3, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.4375 times -1501.8\nAnswer: 2158.8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -11.2.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -348.78 - -42.3. Round p to 0 decimal places.\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85186?\nAnswer: 2, 191, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2174, 2178, 2194, 2228, 2286?\nAnswer: 2374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29785932 and 16.\nAnswer: 119143728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2099488430 to the nearest 1000000.\nAnswer: 2099000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/7 - 64616*x**3\/7 + 147614*x**2 + 1485636*x\/7 - 6587568\/7 = 0.\nAnswer: -3, 2, 17, 32292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.029.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3\/(-45)*(-1610)\/966. Let k = -0.2 - 0.8. Sort -15, 0.4, c, k in increasing order.\nAnswer: -15, k, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -2\/3*o**3 + 0 + o + 0*o**2. Let n(d) be the first derivative of -d**2 + 28. Give u(n(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*r - 6*r - 39, -2*r - 5*m - 27 = 0. Let p = r - -11. Let l = 5 - p. Solve -1 = -3*v - 4*a, 4*v - l*a - 29 = -7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -3*g + 17*g + 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14448 is divided by 313?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*m - 50, 35*j = 4*m + 40*j + 5. Which is the closest to -3\/7? (a) 1\/7 (b) 4 (c) -3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3312*p**2 + 235152*p + 4. What is t(71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -131*b**4*c - 16982*b + 4393672*c wrt b.\nAnswer: -524*b**3*c - 16982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 k, and 1 l when four letters picked without replacement from ylnkolnolkxy?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31862.621 less than -24742?\nAnswer: -56604.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-845)\/(-78) - 10 - (-125)\/(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110 + 110 - 14*v)*(3 - 4 + 2)*(-2 + 15 + 1)*(5*v + 0*v + 0*v)*(0*v**2 + 3*v**2 - 4*v**2) as l + t*v**3 + c*v**2 + k*v**4 + f*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 9*n**2 - 12.\nAnswer: -3*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 48932117?\nAnswer: -48932117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 6)*(-2*i**4 - i**5 + 2*i**4) + (-i + 3*i**2 + i)*(2 - 5 + 2)*(3*i**3 + 2*i**3 - 6*i**3).\nAnswer: 5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cslcislsscslscisxi. Give prob of picking 2 c, 1 s, and 1 x.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -u - 40, 57041*d - 57044*d = -5*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 - 0.7. Let s = b - -2. Let l = -3.982 - -2.882. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**6*j**(2\/5)*j**3\/(j**6\/j) assuming j is positive.\nAnswer: j**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23219067 is divided by 1786082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*(70 + -1). Let u = -105 + 148. Let d = n + u. What is the remainder when d is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + -3.03. Let u = 2.5 + g. What is the smallest value in u, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2439\/7 + 349. Suppose 4*s - 28 = 4*i, 0*i = 5*i + 25. Let d = 0.38 + -0.08. What is the third smallest value in d, z, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*d - 7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 4}. Give prob of picking 1 w and 2 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**7\/6 - 61*f**3\/2 - 136*f**2. Find the first derivative of o(a) wrt a.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(28*22\/(-1925))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 5. Suppose -g*d + d + 212 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.41 + 15.82. Which is the second smallest value? (a) -0.5 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**3\/12 - 17*n**2\/8 - 15*n\/2 + 109. Factor t(v).\nAnswer: -(v + 2)*(v + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17437969 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16347 - 14826.3. Round k to the nearest 10.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 2439.\nAnswer: 17073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1970 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 18. Let m be -1*s\/(-2) - 1. Solve -m*r + d + 3 = 0, 7*d + 15 = 5*r + 2*d for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 2*p**2 + p + 2. Let g be c(-2). Suppose -2*a = -g*a. Let n = -75 - -98. Solve -5*q + 19 = 3*v, 4*v + a*q - 3*q = -n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10 + 3 + f**2 + 9*f + 4. Let b be s(-7). Factor 9 + 5 + 2 - 38*z - 34*z - 14*z**b + 60*z**2.\nAnswer: -2*(z - 2)**2*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 0, 5.\nAnswer: -12, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 680 and 2320?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113 - 10*f + 145 + 13*f to k*f + s and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 11:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:54 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d + 19a?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 265 and 62381?\nAnswer: 311905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 122291573 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/1260 - h**5\/360 - 12*h**2. Suppose k(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462, 886, 1310, 1734, 2158?\nAnswer: 2582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 + -139 - 93 - (-2 + (8 - -2)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:17 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6*f = 6, 4*f - 11 = h. Let c = -6 - -1. What is the third biggest value in -1, h, -2\/9, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -32.\nAnswer: 7\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11410845 - 11410845 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933 at least 2933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 5, -569 in descending order.\nAnswer: 5, 4, 3, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:19 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 825*63\/(82467\/(-119))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -54 in descending order.\nAnswer: 2, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 4*t + t)*(6 + 1 - 2) - 20 + 59*t + 20.\nAnswer: 64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*-5*-2)**2*-6.\nAnswer: -652800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 423184, 1692730, 3808640, 6770914?\n\"Answer: 423182*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -533.703 + -8.7088\nAnswer: -542.4118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -68, -121, -194?\n\"Answer: -10*x**2 - 3*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - 1022110111001211?\nAnswer: -1022110111000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and -0.3065.\nAnswer: 0.033715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -86. Calculate the common denominator of ((-3)\/(282\/x))\/(21\/35) and -89\/10.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3896452 and -2\/335.\nAnswer: 19482260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(2*(-10)\/24)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -11*k**2 + 97*k + 5529. Let b(y) = -4*y. What is b(f(q))?\nAnswer: 44*q**2 - 388*q - 22116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 17*w**2 + 2*w + 2. Let r(d) = -2*d**3 + 18*d**2 - 2*d - 3. Calculate 6*q(f) + 4*r(f).\nAnswer: -2*f**3 - 30*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/6) + (96 - 95). Let c(t) = -2*t + 10. What is c(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 11:56 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, y: 2, b: 4}. Give prob of picking 2 b and 2 y.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8188, -16334, -29910, -48916, -73352?\n\"Answer: -2715*x**2 - x - 5472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*m**3 - 2*m**3 + 42*m**3 + 56419*m**2 - 203 + 203 - 56419*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 425, 943, 1803, 2999, 4525?\nAnswer: 6375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -749975 (base 11) to base 4.\nAnswer: -10210233133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -10, 0.088, -0.5, -1\/7.\nAnswer: -10, -0.5, -3\/10, -1\/7, 0.088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 1 + 1)*(-3*n + n + 0*n) + n**3 + 0*n**3 + 0*n**3 - n**3 - n**3 - 3*n**3 + (-4*n**2 + 2*n**2 + n**2)*(-2 + 2 - n) - 58*n + 58*n + 20*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -34. What is the lowest common multiple of 8 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21613181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0482534ml in litres?\nAnswer: 0.0000482534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054529756 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14027855 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101\/10 - -3653\/330. Find the common denominator of f and -44\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174106 is divided by 58033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 625370 - 1531?\nAnswer: 623637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilogram in grams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.356525208 to 3 decimal places.\nAnswer: -0.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.302 - 392123073?\nAnswer: -392123069.698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 426 - 273. Calculate the greatest common factor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002761 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 + ((-92)\/6)\/(410\/123)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 170 (b) 3640 (c) -0.5 (d) -0.2 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 75e?\nAnswer: 75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 3*b**2 + 7*b - 8. Let j(y) = -3*y**3 - 2*y**2 + 6*y - 9. Give -5*j(g) + 4*s(g).\nAnswer: -g**3 - 2*g**2 - 2*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 571823200 by -50.\nAnswer: -11436464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -346 - -322. Find the common denominator of (4*(-9)\/252)\/(p\/(-602)) and 47\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119 divided by -12088\nAnswer: -119\/12088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(207\/92)\/((-99)\/22).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = -7. Suppose 5*u + 6 = -w*r, -5*u - 4*r - 8 = -0*r. Suppose 4*d - 3 - 1 = 0. Which is smaller: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25656787 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 9300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10011001 (base 2) to base 7\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 126. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*d - d. Let k(p) = p**3 - 21*p - 2*p**3 + 5*p - 20*p**d - 25 - 6*p. List the prime factors of k(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/6 - 152\/228. Let h(c) = -86 + c**3 + 88 - o*c**2 + 7*c**2. Give h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 5942530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 0.033966\nAnswer: -0.0016983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -17. Sort 0, o, 5 in descending order.\nAnswer: 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1086, 8916, 30162, 71532, 139734, 241476, 383466?\n\"Answer: 1118*f**3 + 4*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1074 and 54690.\nAnswer: 58737060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*z + 6107 = -116*z - s, 5*z + 2*s - 10182 = 0. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -115, 0.\nAnswer: -115, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071371333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**8\/4 - 7*f**4\/6 + 16*f. What is the third derivative of t(y) wrt y?\nAnswer: 1680*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/42 - (-11)\/(-7)) + 2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 86.95507 decades?\nAnswer: 869.5507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let z(v) be the second derivative of -7*v**4\/12 + v**2 + 370*v. Calculate z(c(f)).\nAnswer: -28*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -0.5, -3, 0, -38812, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -1\/5, -2, -7, -227?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -227*f - 1. Let h be r(-1). Let w be -38*(-15)\/24 - 3\/(-12). Calculate the common denominator of -51\/8 and 20\/(-30) - h\/w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 6, 2\/31, -3, 1\/825?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 45*i**4 - 225*i**3 - 435*i**2 - 360*i - 108.\nAnswer: -3*(i + 1)**3*(i + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 + 7*p - 2. Let z be (7\/2)\/(41\/(-82)). Let t(q) = -2*q**3 + 3*q - 1. Give z*t(h) + 3*d(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 - -139\/4. Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17340159 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33818*h*t**2 + 15*h*t + 1767971*h - 3*t**2 - 10*t - 41 wrt t.\nAnswer: 67636*h*t + 15*h - 6*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100122102 (base 3) in base 15?\nAnswer: db32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -17\/8, 15, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1782 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**3 + 4*c**2 - 5 + 3 - c**2 - 2*c**3. Let l be x(2). What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 12, 19, 28, 39?\n\"Answer: g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 905 = -5*m, 3*r - 350 = r + 2*m. Let l = r + -118. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15694816 at most as big as 15694834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let o = y - 0. Solve -o*p - 4 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*w**2 + 119*w**3 - 42*w**2.\nAnswer: 119*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5016242.\nAnswer: 2, 7, 11, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.18 - -2.18. Let i = -206\/39 + 60\/13. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34833 is divided by 725.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 9 - (-5 + 7 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 4. Let f be c(-3). Suppose 20 = 2*z + f*z. Let l(s) = -3*s. Let q(w) be the first derivative of w**2 - 8. Determine z*q(u) + 4*l(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*w + 1 + 4 - 5 as g*w + c and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001409 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.017 * -0.4.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116, 183, 248, 311, 372, 431?\n\"Answer: -q**2 + 70*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9\/10 of a century?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 + 16*u - 1. Let i(k) = -17*k**2 - 11*k + 1. Suppose -381*f + 41 = -3*w - 385*f, w = -f - 12. Determine w*i(m) - 5*y(m).\nAnswer: -6*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -11*s + 219. Calculate c(24).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9, 77, 159, 237?\n\"Answer: -2*o**2 + 92*o - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4132*w = -4125*w + 119 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-3 + 4)) + 56 + -54\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -440519 minus 36.92033?\nAnswer: -440555.92033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 - u**4 - 8*u**3\/3 - 9*u**2\/2 - 9840*u. Calculate d(-11).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*p + 14770, 228 = 4*o - 4*p - 14544. Calculate the highest common factor of o and 572.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -778 by 1221.\nAnswer: -778\/1221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (12 - 16 - -4) - 58?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/(38\/12 - 3)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (2 - 1)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 0*o + 3*o + 4*o as m*o + t and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1102233021 (base 4) to base 7\nAnswer: 2611005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 41. Let w(j) = 3 - j - 3. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p - 5. Let t be m(3). Let b = -27 + t. Put b, 4, 2 in descending order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -d + m = d. Suppose -5*l - u = -3*l - d, -4*l + 8 = 4*u. Which is the closest to l? (a) 3 (b) -3 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoxspbzo. Give prob of sequence zb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 417714 and 3978?\nAnswer: 276944382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.203 + 1.703. Which is the fourth smallest value? (a) 3\/2 (b) 2 (c) x (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 30874?\nAnswer: -15437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12974284 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-3)\/27). Suppose o*d - 3*d = 15. Differentiate -1 - 3*j - j + d wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2060 - 2060.04. Sort 1.1, 1, 0.3, g.\nAnswer: g, 0.3, 1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -21.\nAnswer: -38\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s = 25, -2*g + 7 = -s. Solve -3 = 3*r - 0*r, 0 = -a - 4*r - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-54)\/36 + 6\/((-72)\/(-33)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 1\/7*l**2 - 215 - 4\/7*l - 1\/14*l**4 + 4\/21*l**3. Factor j(i).\nAnswer: -2*(i - 2)*(i - 1)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099093 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 10*x**2 + 2*x - 4. Calculate a(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -32, -28, -22, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 + 4*x**3 + x + 51*x**4 - 52*x**4 + 3*x**2 - 2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 + (-2 - 1) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*l**6 - 3*l**4 - 9581*l**3 + 477260113*l**2?\nAnswer: 12120*l**3 - 72*l - 57486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169537 is divided by 277?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551382903.\nAnswer: 3, 53, 509, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2671289940 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/11 + -3\/22. Let h(y) be the second derivative of 2*y + 0 - 1\/3*y**3 + z*y**2. What is the derivative of h(m) wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*d**2 - 120*d**2 - 86*d**2 + 2*d.\nAnswer: -30*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1668695 (base 12) to base 4\nAnswer: -101213133101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/73304 and 59\/2520364.\nAnswer: 85692376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00378818 to 5 dps.\nAnswer: -0.00379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 22. Let s = n - 0. Let d = -33 + s. Put 0, d, 5 in decreasing order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 90 = 144. Suppose 0 = 3*r - 129 + 15. Which is smaller: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, y - 76 = -0*y - 2*r. Suppose 0 = 5*i + y - 16. Let b = 22 + i. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + 2*f)*(-2 + 2*f + 2) + 2*f**2 - 1 + 1 + 84*f**2 - 153*f**2 - 14*f**2.\nAnswer: -85*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10907 or 10906?\nAnswer: 10907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 2*m**2 + 2*m**2)*(-2*m + 1 - 1) + (-2*m**3 + 3*m**3 + m**3)*(2*m + 1 - 1).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938928904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-180)\/27*(-434913)\/290 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/10 - -93\/70. Let g = -7\/6 + 11\/12. What is the nearest to -1\/7 in x, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3769, -31, -447.\nAnswer: -3769, -447, -31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 42. Let x(l) = 8*l - 8. Calculate the remainder when x(6) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 11 + 0 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115.7 - 116. What is the smallest value in -14, s, 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3132 and 2443743.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18d606 + 3a?\nAnswer: -18d5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*f = 100, -1238*f + 1243*f + 168 = -12*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117.3 rounded to the nearest ten?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1970+14064641\nAnswer: 14062671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164020*s + 164015*s - 10 = 0, y = -3*s - 14 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 745\/8 + -93. Let u = 3 + -6. Let w = -2\/23 - 40\/69. What is the nearest to w in u, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0749+-64\nAnswer: -64.0749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(234))\/sqrt(6))\/sqrt(3).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 146 - 13 = 0. Let l = p - 155. What is the lowest common multiple of 356 and l?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3815127 and 864.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-130 + 172 - -70) + (-8 + 0 - -2)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4552 + -4600.73. Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 7*p**2 + 13*p + 49. Let s be w(-3). Is s equal to 1\/312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253035 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m - 7*m - 10*m to the form w*m + y and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzsdfdvf. What is prob of picking 2 f, 1 d, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -0.08, 7\/4 in decreasing order.\nAnswer: 36, 7\/4, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -5*m**4\/24 - 427*m**2 - m - 1. Let t(c) = -3*c - 336. Give t(o(f)).\nAnswer: 15*f - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0519 (b) -6 (c) -1156 (d) -0.2 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301280?\nAnswer: 2, 5, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1659188 and 0.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z**3 + 25*z**2 + 116*z - 38. Let w(r) = -7*r**3 + 16*r**2 + 77*r - 25. Let c(i) = 5*o(i) - 7*w(i). Let u be c(16). Is -128 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*d**2 + (2*d - 2*d + 2*d)*(-2*d + 3*d - 2*d) - d**2 - 2*d**2 + 4*d**2 + (5*d - 4*d - 2*d)*(-d + 3 - 3).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6\/2501, -8\/5, 2\/17?\nAnswer: -6\/2501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1946*i**4 - 750*i wrt i?\nAnswer: 23352*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 15354?\nAnswer: 107478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 4*m + 3. Let j = 3 - -1. Let q be g(j). Suppose 3*p = -2*p. Solve 4*s = q*v + 1, -24 = -p*s - s - 4*v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2156, -2161, -2174, -2195, -2224, -2261?\n\"Answer: -4*z**2 + 7*z - 2159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - a - 11 = 6, -4*v + 31 = -3*a. Suppose -v + 7 = f. Suppose 4*x = 4*k - 12, -7*k = -2*k + 3*x + 1. Put -3, k, f in descending order.\nAnswer: f, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 10377 - 6411 - 1022 - 5*f.\nAnswer: -5*f - 17186","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.054 (b) -16 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568251243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 32333?\nAnswer: -33132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*j = 88*j - 12. Let u = 849 - 854. Let l(r) = -2*r + 6. Let k(z) = 4*z - 11. Calculate j*k(h) + u*l(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 - 0.25. Which is the nearest to 2\/5? (a) q (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 34*j + 213. Let v be p(8). Suppose v*a - q - 2975 = 3876, -4*q + 2736 = 2*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18.345? (a) 4 (b) -337 (c) 0 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 76220*c**2 + 152420*c = 0. Calculate c.\nAnswer: -15242, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -38. Let j(q) = -2*q - 6. What is j(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 18*j**2 - 6*j + 111. Let k be d(23). What are the prime factors of 12\/(-15)*(-8)\/(48\/k)?\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3590?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 107. What is the least common multiple of a and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azyahy. What is prob of picking 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.65239nm to meters.\nAnswer: 0.00000000565239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Let r be (1\/(-2))\/(1\/12). Let b(c) = -c**2. Determine r*s(z) + 22*b(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*c = -28, -12*z + 8*z - c + 16 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - (1 + sqrt(1008)))**2)*-2 + 1 + -5.\nAnswer: -24*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9350.9s?\nAnswer: 9350900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by -7.\nAnswer: -166\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = i - 17*u + 28, 4*u - 134 = -30*i + 33*i - u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (460 - (-935482)\/(-2032))*(6\/(-20))\/(6\/5)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:25 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + q - 1. Let a be j(2). Suppose -2 = -3*z + a. Let x(k) = -4 + k**2 + 0*k**2 + z + 3*k - k. Determine x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18753625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 + (-3)\/(-1). Let w(s) = 5*s + 3*s**2 + 0 + 0 - 970141*s**3 + 970142*s**3. Let t(x) = -2*x**3 - 4*x**2 - 6*x. Calculate g*t(y) + 4*w(y).\nAnswer: -2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5))\/(x\/(x\/(x**(-1\/8)\/x*x)))*(((x\/(x\/(x*x**(-21))))\/x)\/x)\/(x*x**(-1\/10)) assuming x is positive.\nAnswer: x**(-1071\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 3 - 1 = 0, -2 = 3*w + 5*y for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 + 24*x**2 - 29*x - 13. Let b be k(9). Is -518 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9806 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: Simplify ((3*sqrt(42))\/sqrt(6) - (sqrt(14)\/sqrt(2) + 4)) + sqrt(42)\/(2*sqrt(6)) + (1*sqrt(7))**2 + sqrt(7) + 0.\nAnswer: 3 + 7*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 233 + 396. List the prime factors of x.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 + 37.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1 + 3 + m + 30 + 26 - 3 + 3*m**2. Is r(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-35)\/(-2)))\/((-16)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7\/5)*(c\/(c\/(c*(c**(2\/5)*c*c*c)\/c)))\/c)**(-1\/3))**(28\/5) assuming c is positive.\nAnswer: c**(-28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/277, 5, -2\/9?\nAnswer: -5\/277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:19 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(13))*1 - sqrt(13))*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-1))\/(363363\/36330 - (4 + 6)). Solve -9*l + 1667 - h = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - -214. Let o = -153 + x. Solve 0 = o*a - h + 15, -a = -3*h + 11 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738499 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39787873?\nAnswer: 39787873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(0 + 2 - 3) - 1 + 0 - 1 - 5 + 3 + 0)*(2*x - 2*x - 2*x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*g + 36, 0 = -2*n - 185*g + 170*g + 46 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 4:36 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let k be r(3). Let i = -186 - -180. Let u be i\/(-10)*5 + 0\/2. Solve -k*v = -u*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -55. What is the lowest common multiple of z and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Let c(f) = 44*f**3 + 66*f - 374. Let i(d) = c(d) + 66*m(d). Differentiate i(y) wrt y.\nAnswer: 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heddwzemdhe. What is prob of picking 3 e and 1 w?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 778*t + 687. Determine k(-1).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbj when three letters picked without replacement from breeejrejeeeee.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -214723*r + 1503111. What is n(7)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Suppose 2 = s - o. Suppose -64 = -2*r - s*f, -f - f - 8 = 0. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 94*p**2 + 20*p + 994. Calculate j(-47).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -22*a**3 - 8*a**2 - 9*a - 1. Let f be x(-1). Calculate the highest common divisor of f and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 6) + -4 + (3 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3386*o - 172632. Determine t(51).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*n + 115, 11*c + 313 = 8*c - 4*n. Let p = 262 + c. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*l - 16*l**2 - 130*l + 91*l + 13*l**3 to h*l + q*l**3 + w + f*l**2 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 328, 553, 778, 1003, 1228?\n\"Answer: 225*h + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 + -6 - -3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29837413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1 - (-7 + 6)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 142, 149, 156, 163?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = -24 - 64. Is -168\/37 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.65 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**47*t**(-17) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -121955*z**3 + 2392*z - 13.\nAnswer: -731730*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (27 - (25 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - d**2 + d + 7. Let o be q(0). Suppose 0 = -2*m + o*m - 30. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 117*b**2 + 115*b - 2 = 0.\nAnswer: -1, 2\/117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57\/106 + 2\/53. Which is the second smallest value? (a) -7 (b) -1\/8 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 - 32*u**2 - 89*u + 32. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5568 divided by 4.\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6088, 12158, 18230, 24304?\n\"Answer: s**2 + 6067*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.17991284 - -14.18. What is q rounded to six decimal places?\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 6*h**2 + 7*h + 11. Let a be v(7). Suppose -a*m + 6*m = 0. Let p(k) = k + 3. Let q be p(0). Solve m*u = -q*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 11:04 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2958 * 0.2.\nAnswer: -591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by (2 - 8) + 3 - -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 7*k. Let o(f) = -2485*f**2. Calculate r(o(d)).\nAnswer: 18525675*d**4 + 17395*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150727*j**4 + 421*j**2 + 2 wrt j.\nAnswer: -3617448*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 - b - 5. Let u be x(4). Let p be (1\/2)\/((-7)\/u). What is the second smallest value in -1\/4, p, 33?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {i: 2, w: 2, y: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -682*n - 7178 - 15328 = 0 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjjjzjjzjjj. What is prob of picking 2 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4\/7 + 8*m**3 - 92*m**2\/7 + 64*m\/7 - 16\/7 = 0. What is m?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 17 (b) -73 (c) 75 (d) 11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224 - -401. Let q = x - 316. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 - 0) + -6 - -2) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -315, -10, 0, -3 in increasing order.\nAnswer: -315, -10, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 214b7 (base 12) in base 16?\nAnswer: ab8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/743, -25, -2 in decreasing order.\nAnswer: -1\/743, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8447117 weeks to milliseconds.\nAnswer: 510881636.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122, -175, -262, -383, -538, -727?\n\"Answer: -17*d**2 - 2*d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -201*n**2 - 1. Let h be g(-1). Let x = h + 114. Let c = 395 + x. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 99 - 599. Calculate the remainder when 26 is divided by (((-6)\/4)\/1)\/(15\/d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 17810?\nAnswer: 53430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.008 - 3.992. What is the closest to 1\/45 in -5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) - (-4 + -4364). Suppose -45*p = -33*p - b. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -18 (b) -81 (c) 1 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 + 51161?\nAnswer: 51176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -1\/4*g**4 + 4 + 7\/2*g**2 + 0*g + 4\/3*g**3. Give q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 270 + 242 = 0. What is the remainder when o is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1603550 and 329225?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 2*h - 3*h + (2 - 6 + 3)*(2*h - 2 + 2) + 2893*h + 108 - 232 + 122.\nAnswer: 2894*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(75) + -1)*-3)**2 - (sqrt(15) + -2*sqrt(135) + sqrt(135))\/sqrt(5))*-4.\nAnswer: -2736 + 352*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, h: 4}. Give prob of picking 4 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2597 = 8422. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12090 = -4*a, 4*a + 0*p - 2*p - 12096 = 0. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.4, 4, 3, 0.8, -217\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 229980 and 7666.\nAnswer: 229980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 191840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/7 - ((-60)\/(-35))\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -5 + (-244)\/(-28)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and -1892567781487.\nAnswer: -1892567781478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*u - 199*u - 14*u - 11*u.\nAnswer: -187*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 12 = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 339 - 5614. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 17397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + k + 3*k**3 - 44*k**4 - k**2 - 2 + 2 + 45*k**4 to x*k + m*k**4 + o + j*k**2 + z*k**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 4\/671?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 8*u**2 + 4*u + 3*u**3 + 2*u**3.\nAnswer: 5*u**3 - 3*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.1 - 14.58. What is the third smallest value in m, 1\/2, -1\/2, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -29*r**2 + 49*r + 16. Let m(l) = -32*l**2 + 54*l + 18. Let z(j) = 10*g(j) - 9*m(j). Let k(y) = y + 1. Calculate 4*k(t) - z(t).\nAnswer: 2*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.339 + 1.661. Which is the smallest value? (a) -1 (b) -4\/3083 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020120 (base 3) in base 14?\nAnswer: -c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 3*p, 7 = j + 6. Suppose 5*g - 15 = 3*v, v + p*v + g = -20. Let x(a) = -a - 2. Give x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 4}. Give prob of picking 2 g.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 29*w. Let p be s(1). Suppose 5*d = 51 + p. What is the smallest common multiple of (-28)\/154 - (-24)\/11 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7801820561.00000142 - 7801820627. Let h = z + 66. Round h to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p - 2*p)*(3 + 3 - 5) + 2*p + 2*p + 0*p + 8*p - 2*p - 3*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 5*w + 1241, -2*w - 1878 = -3*s. What is the third derivative of 25*y**2 - 31*y**5 - 628*y**3 - 2*y + s*y**3 wrt y?\nAnswer: -1860*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**2 + 119687*h + 6101436 = 0.\nAnswer: -119636, -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7157 is divided by 58.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (37\/7)\/(1500\/(-10500))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. What is the units digit of 286\/66 - g\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 7*x + 16. Suppose 3*c - 2*v - 47 = -1, -2*v = -2*c + 34. Let m be q(c). What is the greatest common divisor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -8. Suppose -r*t = -2*t. Suppose t = -5*w - m + 290, w - 4*m = -3*w + 232. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53054 is divided by 338.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 287031 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*s**(-2\/3)*(s*s*s*(s\/(s**(-10)*s))\/s)\/s*s*s**(2\/13))**(-3\/10) assuming s is positive.\nAnswer: s**(-298\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let c(l) = -l**2 + 9*l. Let u be c(9). Let g = -9 - -16. Solve -3*w - 5*n - k - g = 0, -3*w + n - 5 = u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/2*(-72)\/240?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 285803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 346269 and 924.\nAnswer: 1385076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x - 7*x + 26*x**2 + x to the form q*x + s + h*x**2 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/18)\/(8*(-1)\/((-6)\/1)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b**2 - 1188*b**2 - 581*b**2.\nAnswer: -1801*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 140*x**2 - 169*x + 911. Determine l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cacqr. What is prob of picking 1 c and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543.7077nm to micrometers.\nAnswer: 0.5437077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/22*(-224)\/280\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, m: 2, t: 2, k: 6, p: 1}. Give prob of picking 1 m, 1 t, and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-681*h - 659*h + 1492*h - 1)*(0*h**2 - 2*h**2 + 3*h**2).\nAnswer: 152*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3013 and 655.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z = -752. Suppose 0 = -3*v + 2*v + 3*h - 87, -5*v - 495 = -3*h. Let m = v - z. Is m a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-2))\/(76\/57)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3, -5*x + 3*a = 38 - 10. Let q be 3\/(-6)*(x - 1). Determine h so that 1\/2*h**2 + 1\/4*h**q + 1\/4*h + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2017727712 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/sqrt(176)*6.\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x + p = -18, -3*x = -4*p - 3. Let h(m) = 11*m**2 + 14*m + 21. Let w(v) = 4*v**2 + 5*v + 7. Give x*h(r) + 8*w(r).\nAnswer: -r**2 - 2*r - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*d = -3*q + 15, 69 = -8*q + d + 98 - 50 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 314*l**2 + 2*l + 513. Let b(x) = -x - 1. Let d(n) = 2*b(n) + v(n). What is the first derivative of d(u) wrt u?\nAnswer: 628*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 5*u - 93 + 8, 0 = -3*s - 5*u - 45 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59861, 119730, 179607, 239492?\nAnswer: 299385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7151936 divided by -8\nAnswer: -893992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, -13, 3\/28?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(30\/(-9)))\/((-21)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -0. Let m(d) = -d + 4. Let k be m(-3). Solve k = -q*s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15652 and 15674 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**15*u*u*u)\/u)**(-7\/10) assuming u is positive.\nAnswer: u**(-119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d**(-1))\/((d*d**(1\/4))\/d*d)**(-33) assuming d is positive.\nAnswer: d**(1851\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 + d**5\/12 - d**3 - 5*d**2. Let p be c(5). Which is bigger: p or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2. Let g(h) = 16*h**2. Let c(k) = 5*b(k) - 3*g(k). Let l(z) = z**2 - 2. Calculate c(l(u)).\nAnswer: -3*u**4 + 12*u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j*n**3 - 6*j*n**2 - 2*n**4*x + 2*n**3*x - n**2*x - n*x wrt n?\nAnswer: 42*j - 48*n*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 664 + 9586. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*x**3 - 64*x**3 - 16*x**3 + (475 - 475 + 14*x)*(0 - 2*x**2 + 0))*(3*x + 0*x - 4*x).\nAnswer: 72*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m + 2. Suppose 4*r - 10 = -m*c + 21, -5*r + 45 = 5*c. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4856 and 95?\nAnswer: 461320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0 + 0)*(-12*p**2 + p**3 + 21 - 21).\nAnswer: -2*p**4 + 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4451624?\nAnswer: 2, 19, 29287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -241, -239, -247, -271, -317?\n\"Answer: -r**3 + r**2 + 6*r - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031532 (base 6) to base 2.\nAnswer: 10111110101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 - (2 + -3 - 1). Let t = u + 14. Let b be (-5)\/(-2)*(-1)\/(-10). Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21382009?\nAnswer: 11, 1943819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41968620.\nAnswer: 2, 3, 5, 233159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert c53a6 (base 14) to base 13.\nAnswer: 13853a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o)*(3 - 1 - 3)*(-14 + 4 + 7)*(10 - 6 - 12).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680 = 1444776*b - 1444736*b for b.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 537 + -537.1. Let w = -4.92 - 0.08. What is the third biggest value in -2, w, -2.1, m?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19657 divided by 7?\nAnswer: -19657\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -2. Let b be ((-2)\/3)\/((-1)\/i). Let v(f) = -3*f - 1. Let u be v(-1). Sort b, u, -1 in descending order.\nAnswer: u, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) -2 (c) -237501 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -3 (c) -6 (d) 0.265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*k + 6. Suppose -37 = 6*q - 67. Suppose q*y = y - k. Is y smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:54 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 22*o + 116. What is i(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 13. Let j(c) = c + 7. Suppose 61 - 7 = -m. Let k = -51 - m. Give k*d(q) + 5*j(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17418 is divided by 264?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 69 = -3*r. Let o = r + 50. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-160)\/21)\/4 - -2. What is the third biggest value in -5\/2, 0.3, y?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35437762*x**2 + 27683830*x wrt x.\nAnswer: -70875524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**10\/y*y)\/y*y)\/(y**(-1\/4)*y) assuming y is positive.\nAnswer: y**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -513, 0.362, -5, -4, 0.4 in ascending order.\nAnswer: -513, -5, -4, 0.362, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 203808132?\nAnswer: -5\/203808132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11434333 (base 5) in base 13?\nAnswer: -3a63c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23988.\nAnswer: 2, 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 305409 less than 305434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x. Suppose -4*g + 1 = v - 2, 5*g - v = 15. Let j(h) = 0*h**2 + 6*h**g - h**2 + 2*h**2. Calculate j(z(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6269 divided by -6.\nAnswer: 6269\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786274?\nAnswer: 2, 7, 127591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 5*m + 3. Let q be u(-3). Suppose 0*h + 10 = 2*p - 4*h, q = -3*p - 4*h. What is the units digit of (3\/(-3))\/p - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddgggdgg. What is prob of sequence gdd?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 637 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 30. What is the greatest common factor of y and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13822, 110885, 374330, 887347, 1733126?\nAnswer: 2994857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-24))\/(5 - 78\/18)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 6.3996767.\nAnswer: 4.3996767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, h: 13}. What is prob of picking 3 w?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 497027030 to the power of 1\/5, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179 bigger than 1179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((2880\/(-75))\/(-32))\/(350\/(-630)*(-2)\/5)\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*f + 50, -103 = -f - 3*f + 5*r. Suppose n + 5*u + 75 = 6*n, 5*n - 4*u - 76 = 0. Calculate the smallest common multiple of n and f.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 503438 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 divided by -3?\nAnswer: 712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50150157 and 264461.\nAnswer: 952852983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-225)*(13 + -3). Suppose -1\/3*i**4 + i**2 + 2\/3*i**3 - 4\/3 - d*i = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p - 11 = q, -1 = -q. Suppose 4*u - 3 - 3 = 3*h, -5*u = 5*h + 10. Sort h, -4, p, 6 in decreasing order.\nAnswer: 6, h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 30*w - 106. Let n be t(4). Suppose 4*s - 4*x = -24, 0 = 3*s + 6*x - 5*x + 38. Sort 3, s, n in increasing order.\nAnswer: s, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 228*q**2 - 5*q - 1.\nAnswer: -24*q**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1390497 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 9*n**2 + 18*n + 9. Let r be z(7). Let v be (5\/2)\/(2\/44). Suppose -2*l = -r - v. Is 23 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20))\/(-1)*(-72)\/(-2)*2\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*g - 4*b, -2*b = -2*g - 7 + 25. Solve -10 = 4*c - 2, a + g = -3*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144840675?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 112 = -2099*q + 2095*q, 5*z = 2*q + 106 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5703, 5, -705, -1 in descending order.\nAnswer: 5, -1, -705, -5703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -10 - (16 - 7)) + (4 - (2 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + -1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9 - 6.9. Let r be 10\/110*(-9 - (3 + -10)). Let m = 0.2 - 0.2. Which is the smallest value? (a) r (b) w (c) m (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 - 14 = 0. Suppose -x*q = -16 - 17. Suppose -y = 2*y - 297. What is the highest common factor of y and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 11*s - 14 = -16*s, -4*s + 1 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 4.2. Let c = w - -1.4. Let r = -1.45 - c. What is r rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43128858 - 43124898 = 198*f for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bce when three letters picked without replacement from eobooeoc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11187, -12680, -16693, -24474, -37271, -56332, -82905?\nAnswer: -118238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {e: 2, l: 1, q: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 25*i**2 - 45*i**2 + 22*i**2. Let a(m) = 11*m**2. Calculate a(o(j)).\nAnswer: 44*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 11355116?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 6*t**2 + 9*t + 8. Let l be m(-4). Suppose 2*w + 2*c - 9 = 31, 3*c = l*w - 101. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0591 - -4.0591. Which is the fourth biggest value? (a) 3 (b) -0.5 (c) 0.092 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 5*s**2 - s - 3. Let g be p(-5). Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3\/2*b**2 - 1\/2*b**4 - 2*b**3 - 7*b - 18. Calculate the remainder when a(-4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/39*23\/((-25668)\/(-324))?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + o - 4 - 6*o - 4*o. Let u(x) be the third derivative of -x**5\/60 + 5*x**4\/12 + 5*x**3\/6 - x**2. Let c(a) = -7*b(a) - 6*u(a). Factor c(d).\nAnswer: -(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 746909501 - -577.\nAnswer: 746910078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468432745*b - 9*b**2 + 468432745*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 278406254.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 45\/8 of a micrometer?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c + 4. Let z(y) = 8*y + 16. Let b be z(-3). Put c, b, -4 in increasing order.\nAnswer: b, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let g be -10*(z + 12\/15). Let p = g - 7. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4bb3 (base 15) to base 3\nAnswer: -211010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 21925656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 - 4*j - 13. Give a(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 773600?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:27 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 59928.97 nanometers?\nAnswer: 0.00000005992897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 110 = -3*i. What is the remainder when 42 is divided by i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9652753 is divided by 365?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-26))\/((-3)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049741426 to 4 dps.\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 10:25 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 422? (a) -3 (b) -22 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 5. Calculate a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwgwgbgnbnww. What is prob of picking 3 w?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -12*y**2 + 153*y + 45. Let l be t(13). Let x = -0.6 - 4.4. Which is the second biggest value? (a) x (b) -0.08 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*p - f**3 - f**2*p + 145*p with respect to f.\nAnswer: -6*f**2*p - 3*f**2 - 2*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 27*p - 104. Give b(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*-3*(sqrt(833) + -4*sqrt(833) + 1 + sqrt(833) + (2 + (sqrt(833) - (-2*sqrt(833) - sqrt(833))) - sqrt(833) - sqrt(833))))**2*2.\nAnswer: 209952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/120 - f**4\/8 + 37*f**3\/3 + 72*f - 2. Let v(a) be the second derivative of d(a). Let i(o) = o. Calculate v(i(m)).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197219 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4387*r**2 + 4393*r**2 - r + r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 33*l**2 - 5*l - 7. Is w(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227, -452, -677, -902, -1127?\n\"Answer: -225*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 69348, 138691, 208034, 277377, 346720, 416063?\n\"Answer: 69343*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901 is divided by 584?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/225 and 115\/12.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - 9. What is the remainder when y(5) is divided by (4 - 1)*((-186)\/(-18) - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 124. Suppose 40 = 12*j + g*j. Let n(z) = -9*z + 7. Let h(y) = -8*y + 6. Let f(v) = -5*h(v) + 4*n(v). What is f(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**2. Let n(x) = -749*x. What is d(n(v))?\nAnswer: -2805005*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmk when four letters picked without replacement from {k: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from ogggnggogoggogggoog?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*r - 2 + 23*r + 4.\nAnswer: 119*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - -1a1?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 - 425. What is the closest to a in -3, -0.26, 5, 1\/6?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.84 + 1.16. Sort k, 8, -1\/4, -0.3 in descending order.\nAnswer: 8, k, -1\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j**2 + 141*j - 36. Let a be r(-10). Calculate the highest common divisor of 162 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from {c: 1, m: 4, j: 1, e: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6 - 8 + 19)*((-6 - 5 + 3)*(b + 0*b - 2*b) - 2*b - 1 + 1).\nAnswer: 12*b**2 + 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203069934 to the power of 1\/3, to the nearest integer?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (1 - 7 - (-7 + (1 + -3 - -3)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/((-2)\/72). Suppose -y - 2*b = -0 - 3, 0 = -5*y + 5*b + 15. Suppose y*l = -9 + q. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*i - i**3 + 350*i + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -25. Solve 0 = -6*v + m*v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659389976 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -361.68.\nAnswer: -362.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 14 = -11. Find the second derivative of -1 + 160*a**3 - 109*a**g + 16*a - 158*a**3 + 4 wrt a.\nAnswer: -642*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05189, 0.14, -0.52?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 258 = -2*f. Let k be 0\/2 - (-537)\/(-3). Let m = f + k. What is m rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2. Let o(s) = s - 5. Let j be o(0). Let v(b) = 9*b**2 + 5*b + 5. Let n(d) = 5*d**2 + 3*d + 3. Let g(r) = j*n(r) + 3*v(r). Calculate z(g(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.90004 + -1.9. Round m to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h = 2*z, 2*z = -4*h. Let k(b) be the third derivative of -1\/24*b**4 + 1\/2*b**3 + 0 - 4*b**2 + z*b. Calculate k(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*s - 9, 2*x - 6 = -s + 3*s. Suppose 4 = 3*m - x*m. Let y be (235\/3)\/(m\/480). What is y rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - 2*n + 18, 4*f + 1706*n = 1704*n + 18 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -82*d**3*i**3 - 1066*d**3*i - 98*i**3 - 18*i**2 - 311 wrt d?\nAnswer: -246*d**2*i**3 - 3198*d**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 163 = 4*w - 24, -2*w + 66 = -4*b. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -104. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1818309, -1.\nAnswer: -1818309, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. What is the third derivative of -3*j**2 - 4*j**5 - j**y + 5*j**2 wrt j?\nAnswer: -300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (848\/(-265))\/(12\/(-3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 126 = 25*b. Calculate the highest common divisor of b and 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4418 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 78.0422 litres?\nAnswer: 78042.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-525) - (-2 + (-21684)\/(-13195)).\nAnswer: 12\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236817 and 14609.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 64*j + 2563. What is the thousands digit of v(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 7*i**2\/2 - 3. Let u(z) = -z. Let s(k) = -6*u(k) - y(k). Let o(g) = 2*g - 4*g + g + 0*g. What is o(s(x))?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -33*d**3 + 3*d**2 + d + 1. Let j be x(-2). Suppose -93 = -4*t + j. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 3*s + 3*s - 3*s. Let p(q) = -2*q**2 - 3*q - 3. Let t(k) = 4*k**2 + 7*k + 7. Let d(i) = -7*p(i) - 3*t(i). Calculate z(d(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 4*k + 2. Let o be w(3). Suppose -13*d = -188 + 162. Calculate the remainder when 24 is divided by (-4)\/(o\/(-6))*(1 + d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -540*v - 13*v**5 + 540*v + 3*v**5 - 3 + 3 + (1 + 0 + 0)*(0*v + 2*v**5 + 0*v).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) -1\/3 (c) 2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*l = -220 - 205, 4*n = 3*l + 340. Let d = n - -11. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 4. Let x(o) = o. Let n(v) = 4*x(v) - z(v). Calculate n(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3042143\/123 + -24733. What is the common denominator of 61\/3 and d?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, f: 1, a: 2, z: 3}. What is prob of sequence fanz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 33*b. Let t(w) = -98*w. Suppose -a = a - 4*k + 4, 8 = -4*k. Determine a*t(g) - 17*l(g).\nAnswer: 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of q**3*u**4*v + 2*q**3*v**2 - q**2*v - 3*q*v**3 + 153*u**4*v**3 - 5599 wrt u.\nAnswer: 4*q**3*u**3*v + 612*u**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)\/f**(-1\/2))\/((f\/(f**(-3\/2)\/f*f))\/f**(2\/17))*(f**0*f)**(-23)\/(f**2*f*f\/f**(-2\/3)) assuming f is positive.\nAnswer: f**(-10498\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -1.1. Suppose -3*t + 1359 = 2*l + 2*t, 1991 = 3*l - 2*t. Let f = 664 - l. What is the nearest to 1 in -0.3, d, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-27)*(108 - 107)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2*(-11)\/6*(-225)\/1100. Solve t**3 - 3\/4*t**2 - 9\/8*t + j*t**4 + 0 + 1\/8*t**5 = 0 for t.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2310 = 5*d, 459 = c - 0*c + 4*d. Is 28 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -391 + 440. Calculate the highest common factor of 84 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (38 - -10) - -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84.38 - -16.38. Let v = 351.9 - 284. Let h = v + d. Is h at most as big as -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - (2 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 90\/4*(-504)\/(-11529)*61\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*k, 4*k = -2*x - k - 30. Let y = x - -8. Suppose -4*l - l = -5*f, 0 = -5*l - y*f + 40. Solve 0 = -5*d - 2*v - 27, l*v - 2*v + 13 = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fxfifqqfqqifi. What is prob of picking 1 i and 3 q?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 191 times -13\nAnswer: -2483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 392\/735*15\/12\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*z + 155*z = 4*n, 0 = -5*n + 4*z - 19 - 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 177, 332, 531, 768, 1037?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 - 4*r - 12. Let j(b) = 4*b**2 + 4*b + 11. Let f(i) = -3*j(i) - 4*y(i). What is the units digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2206 - -2204. Let q be (-2 - 2)*(-1)\/2. Which is the closest to q? (a) j (b) -2\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 169*t\/4 - 525\/2.\nAnswer: (t - 6)*(t + 175)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17708*u + 4239*u - 3999*u + 24228*u.\nAnswer: 42176*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 19*z - 11*z + 17*z**2 + 5*z**2 - 7*z.\nAnswer: 22*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 1\/3*h**3 - 1\/2*h**2 + 1\/6*h**4 + 0 - 3*h. What is the remainder when o(3) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syv when three letters picked without replacement from {h: 2, s: 4, y: 1, x: 2, v: 2, b: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2\/5 (c) -3 (d) -0.4 (e) -2\/9 (f) -6.98\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 3*k - 438, -4*p - 2119*k + 2109*k - 168 = 0 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -243680.72372 less than 0.238?\nAnswer: 243680.96172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 8*g - 9 = 4*z, -4*z - 5*g - 7 = 0. Which is the smallest value? (a) 0.3 (b) z (c) 41 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**12*m*(m\/(m*m**(-23)))\/m)**(-7))**20 assuming m is positive.\nAnswer: m**(-4900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 13*a - 16. Let s be u(11). Let d be 159\/33 + -3 + s\/33. Put -0.1, -4, d in descending order.\nAnswer: d, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-63)*28\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52974054578 - 70.\nAnswer: -52974054648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m + 4894 = -14321. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12198.9999821368 + 12199. What is b rounded to six dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/819082 and 101\/1638164.\nAnswer: 1638164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 521\/23, 2?\nAnswer: 521\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -3004.\nAnswer: 18024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123744713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -311131143 (base 5) in base 6?\nAnswer: -43123154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1058123514 divided by -3?\nAnswer: 352707838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b5 (base 12) in base 5?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -1, -3 in decreasing order.\nAnswer: 14, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 71601473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*k - 21*k + 30*k - 113057 + 114837 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 1?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 - 2*b - 1. Let x = -23 - -27. Suppose g + p + 6 = -2*p, -x*g = -3*p - 21. Determine k(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 902*t**2 + 9*t - 33. Let u be n(-11). Suppose 2*p - u = 8*b - 6*b, -163505 = 3*b - p. Round b to the nearest 1000.\nAnswer: -55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-226797840)\/(-600)*(10\/3 - 0). Suppose -3*g = 3*b - 661568 + 1921577, 0 = 3*g - 4*b + n. What is g rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 7*g. Let z = -26417320 - -85676110. Suppose 0 = 3*l - 4*s - z + 19358790, 2*s = g. What is l rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h - 133*h**3 - 5*h - 4*h + ((0 + 4 - 1)*(-1 + 0 - 1) - 3 + 4 - 2 + 0 - 5 - 1)*(-3*h**3 - 2*h**3 + 4*h**3) to y*h + z*h**2 + r*h**3 + t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(((h*h**(-5\/4))\/h)\/h)*h)\/h**3)**(-2\/61)\/((h\/(h**4\/h*h*h)*h*h*(h\/(h\/h**(-1)*h))\/h)\/(h**(-3)*h**6)) assuming h is positive.\nAnswer: h**(967\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -95630 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.524098 micrograms to grams.\nAnswer: 0.000005524098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -224 >= -229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + -30 + 12 - 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (249\/(-63) - -3)\/((-6)\/(-9)). Which is smaller: i or -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9269 - 9263. Solve 1323*v + i = 1320*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -59\/5 + 423\/35. Let z(b) = b + 2. Let x be z(-2). Let o be x + 2 + (-26)\/12. What is the second biggest value in i, -0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n + 3. Let o be q(-8). Solve 3*m - 3 = 6*m + 4*w, 4*w + o = 5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3132 (base 7) in base 14?\nAnswer: -589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 82144.\nAnswer: 410720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 101*h - 128. List the prime factors of y(-52).\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -8*c - 182. Which is smaller: 12 or c?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*k + 2787 = 50387 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 1, l: 2, s: 2}. What is prob of picking 1 l and 1 a?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((7 - 2)*6\/(-15)). Suppose -q + 4 + 6 = i. Suppose q + 12 = 2*m. What is the smallest common multiple of m and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3 + 63.2.\nAnswer: 59.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190 - -548. Suppose -2*q + 6*q + 1444 = 4*v, v + 2*q = y. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6992\/(-69))\/38)\/(1\/15*5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(15)*-1*4)\/((sqrt(35)\/(2*sqrt(7)) + sqrt(5) - sqrt(5)) + sqrt(5) + sqrt(25)\/sqrt(20)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + (-20 - -6 - (-35 - -7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/5 greater than 70\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 19) + (33 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 - -463. Solve -6*u = -3*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 266*a**3 + 19*a**2 + 19*a - 19. Let s(i) = 53*i**3 + 4*i**2 + 4*i - 4. Let g = -2084 + 2088. Determine g*y(h) - 19*s(h).\nAnswer: 57*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 27 = -f, 3*f = 2*r - 188 + 227 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -178 + 185. Factor 14*y**5 - 15*y**5 - 4*y**4 + 8*y - 5*y**5 + 10*y**2 + a*y**5 - 3*y**3.\nAnswer: y*(y - 4)*(y - 2)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 10 = 4*h + 4, 3*h + 30 = -d - 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000001011101 + -1001000000?\nAnswer: -100100001010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 158 - 34. Calculate the greatest common divisor of k and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 - 3*o**2 - 3*o + 1. Let i(g) = 36*g**3 + 14*g**2 + 14*g - 6. Determine -3*i(w) - 14*x(w).\nAnswer: -10*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-4*(3*(-2*sqrt(1088) - sqrt(1088)) + 3))**2 + -5.\nAnswer: -1410197 + 6912*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 74*p**2 - 915*p + 3. What are the prime factors of j(21)?\nAnswer: 2, 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 5)*(9256*k**2 - 738*k**4 - 9256*k**2).\nAnswer: 6642*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 271166 less than -0.28?\nAnswer: -271166.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**9\/z)\/z**(2\/5)*(z**(-2\/7))**24 assuming z is positive.\nAnswer: z**(61\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -268131 (base 9) to base 4\nAnswer: -213321031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p**2 + 3. Let c(v) = -10*v**2 + 2. Let b(i) = 3*c(i) - 2*o(i). Let r(f) = -3*f**2 + 7*f**2 + 0*f**2. Determine r(b(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 2 + 5 - 2*p. Let j(d) = -d + 1. Let o(c) = -539*c + 8080. Let x be o(15). Calculate x*j(a) + t(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(-3 - 3 - -12). Suppose -3*b = -6, -3*o + v*b = -2*b - 11. What is the highest common factor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + 4*z - 4. Let s be w(-5). Let c = -6 + s. Let h(j) = 2*j - 4. Determine h(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 - 73 = -5*b, t = -4*b + 29 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 62857206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/79, -36.5, 0 in descending order.\nAnswer: 4\/79, 0, -36.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 4)\/(2\/1). Let a = d + 23. Let g(m) = -m**2 - 25*m - 76. Let y be g(-5). Which is greater: a or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 + 19*w**2 + 12*w**2 + 8*w + 25*w**2 - 88*w**2 + 3*w.\nAnswer: -2*w**2 + 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 0*b**4 + b**4 + 20*b**4 - 510 + 510 + b**3 + (-5*b + 3*b + b)*(b**3 + 6*b**3 - 3*b**3).\nAnswer: 14*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25.4 - 24.9. Which is the closest to -2\/3? (a) v (b) 2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnononoonnonnnoonn. Give prob of picking 3 n.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 405*j = 411*j - 396. Are 65 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117899*d**3*j*t**3 + 40*d**3*j*t - 914*d**2*j - 73*d*j*t**4 + 2*d*t**2 + j wrt t.\nAnswer: -707394*d**3*j - 1752*d*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*c + 145 = 0, 3*w + 3*c = 57 + 39. Suppose l - w = 42. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 + 3*d + 6. Let b be k(-5). Let w be 6\/b - (-11)\/3. Find t such that -4*t**4 - 3*t**5 + t**5 - 8*t**2 + t**4 - 16*t**w - 7*t**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 2*n**2 - 2*n - 1. Let a be x(-1). Let o = 559386 + -559343. Sort -2, o, -5, a in descending order.\nAnswer: o, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/552, -4, -2\/19, 5, 2486 in ascending order.\nAnswer: -7, -4, -2\/19, 1\/552, 5, 2486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3)\/f*f**(2\/15)*(f\/(f*f\/(f*f**(1\/2))))\/f*f**(-4)*(f**1*f\/(f*f\/(f*f**(3\/5))*f))\/(f**1)**(1\/38) assuming f is positive.\nAnswer: f**(-2221\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/11, -0.102, 0.2, 1\/6, -0.1, -146, -1\/3?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*u - 9, 5*u - 12 = -2*o. Let z(k) = k**3 + 7*k**2 - 2. Let w be z(-7). Put w, 5, o in descending order.\nAnswer: 5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2\/5 - 122017752*a\/5 + 930520737695844\/5 = 0. Calculate a.\nAnswer: 15252219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 - (3 + -3))) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-42))\/(p*p**(3\/4))*((p**25*p)\/p)\/(p*p**(-2\/15)) assuming p is positive.\nAnswer: p**(3923\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 369051689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**4\/12 + p**3\/2 + 3*p**2. Calculate v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.3 + -87.3. Let c = k + 75.3. Let d = c - 15.7. Round d to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t*t\/(t\/t**7))\/t)))\/t**(2\/19)*t*t**6\/t*t**0 assuming t is positive.\nAnswer: t**(245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 3.837\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29, 40, 41, 26, -11?\n\"Answer: -v**3 + v**2 + 15*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3195408*u**2*x**2 - 7*u*v*x**2 - u - 784*v*x**2 + 43*v + 119*x**2 - 6 wrt u.\nAnswer: -6390816*u*x**2 - 7*v*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -33*m**3 - 5313*m**2 + 6*m + 964. Calculate a(-161).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282514 + 30*i**3 - 21*i**3 - 1282514.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -370 - -1451\/4. Let c = -440 - -4837\/11. Find the common denominator of c and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 11) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-4)\/(-6)*-3. Let a be 2 + (-1 - (b + 0)). Let p = 0.2527 + 0.2473. Put a, p, -0.01 in descending order.\nAnswer: p, -0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224322 - 5?\nAnswer: 224313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9031 + 9503. Do p and -0.06 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305359948.\nAnswer: 2, 76339987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 5 - 55. Let k(x) = -x**2 - 13*x - 12. Let a be k(g). Let y be a\/1*(-2)\/4. Sort y, -3, 0.4 in decreasing order.\nAnswer: 0.4, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701 + 2359 = -109*r - 646 for r.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31012 and -0.4?\nAnswer: 0.124048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -65. Let l be (-3)\/((45\/v)\/5). Suppose -3*j - 43 = -4*d, 24 = -5*d - l*j + 70. Solve -4*q + d = -2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 115\/20)*12. Calculate the highest common divisor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29.6 + 29.747. Let h = 0.253 + o. Which is the nearest to 0? (a) -6\/17 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19 and -9.29.\nAnswer: -28.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 18*n - 62. Let q be f(5). Suppose q*t + 53 = 1505. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*w = 10. Let v be ((-36)\/(-15) - 2)*w. Differentiate -v*f + f - f - 1 wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.66 + -7.56. Let r = -0.42 + 0.02. Which is the third biggest value? (a) -2 (b) -0.1 (c) i (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54650297, 54650292, 54650285, 54650276, 54650265, 54650252, 54650237?\n\"Answer: -t**2 - 2*t + 54650300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -0.7. Let x be (1\/(-1) - 1)\/(1*-4). Is a less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93140940\/2596 - 8\/(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.6 - 5. Let q = 3 - -9. Let d = q + -8. Which is the second biggest value? (a) d (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6735589.\nAnswer: 7, 101, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((2 - 4508)*(-21)\/(-105))\/((-4)\/10).\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(-5\/3)*k)*k*k\/k**(-1\/4)*((k*k\/(k*k*k**4))\/k)\/k**(-5) assuming k is positive.\nAnswer: k**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7087939?\nAnswer: 607, 11677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*g**2 - 66*g**3 - 64*g**5 - 2*g**3 + 768 + 132*g + 160*g**4 - 804 = 0. Calculate g.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3*z - 3. Let j be x(2). What is the remainder when j\/(0 - 2\/52) is divided by 27*((-52)\/12)\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16635, 16641, 16647, 16653?\nAnswer: 16659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 4*j + 28 = -3*p, 2*p = 2*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443632506?\nAnswer: 2, 3, 31, 2385121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*m - 354781 = -9868593. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t. Let b be l(6). Calculate the least common multiple of b\/(-8) + 1\/(-4) and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651405 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107791571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-4)\/488*-2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 5, -2, 0.04, 0.5 in increasing order.\nAnswer: -2, 0.04, 0.5, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-14 + (-43 - -18) + 92)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -5*d + 3*s, -4*s = 910942*d - 910939*d + 17 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (5 - (6 + 1)) + -22 + -87 + 95.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181087 is divided by 25858?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1723.7 + -1724. Sort 3\/5, -1\/6, m, 2\/7 in increasing order.\nAnswer: m, -1\/6, 2\/7, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/30 - (-7 + ((-468244)\/30 - 6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 555194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 449 = 7*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 94796 - -15?\nAnswer: 94800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7*u = 800. Let d be 1*(0 + -2) - -18. What is the highest common divisor of d and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 8. Let v(t) = 7*t**2 + 42*t. Give v(r(b)).\nAnswer: 63*b**4 - 462*b**2 + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 786416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 0*j**5 + 2*j**5 + (j**3 + 0*j**3 + j**3)*(32 + 18*j**2 - 32) - 25*j**5 + 6*j**5 + 9*j**5.\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bobb. Give prob of sequence bbob.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-115 - (-8)\/(-2)) + -2. Let w = 1209\/10 + s. Put -2\/7, -5, w, 1\/4 in increasing order.\nAnswer: -5, -2\/7, w, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*y**2 - 742*y**2 - 13*y + 17*y.\nAnswer: -863*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.04 times 42.8?\nAnswer: -130.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-2)*(-158)\/(-316)*(-2)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 4 - 8. What is the tens digit of (-4 - -256)\/a + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 876*l - 880.\nAnswer: 4*(l - 1)*(l + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83a (base 12) in base 15?\nAnswer: 54d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + ((-72)\/(-9) - -391) is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -8*p**2. Let b(q) = q**2 - 147*q. What is b(u(m))?\nAnswer: 64*m**4 + 1176*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -33. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 9, -15\/2, -0.1, -13\/18?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 + 5 = 0. Suppose 5*k = -i*g + 6 + 3, 3*g = -k - 6. Suppose -2*p - 2*l = -l - 6, 0 = -2*p + 2*l - 6. Is k smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -16, 3*u = 2673*q - 2677*q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -415 (b) -1\/3 (c) 2 (d) -0.3 (e) -1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5 - 3. Suppose -4*c = -z*d + 60, -d = c - 4 - 11. Suppose 5*i = 7*i - d. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.82376938 to two decimal places.\nAnswer: 4.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 47 + 34. What is the remainder when t is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -26.12?\nAnswer: -26.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39013409 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.064794194 + -0.0648. Round d to seven decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0981 and 0.159?\nAnswer: 0.0155979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52430 and 14601220.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = -7*n. Let a = 2\/275 - 112\/275. Let m = 49.6 + -50. What is the closest to a in m, n, 5\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69068389609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(9\/7)\/u*u)\/(u**(1\/15)\/u)*u**(2\/21)\/(u*u**(-8)*u) assuming u is positive.\nAnswer: u**(326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6729*t**3 - 2316*t**3 - 2289*t**3 - 2260*t**3.\nAnswer: -136*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -7, -1054, -87, -5, -4 in descending order.\nAnswer: 0, -3, -4, -5, -7, -87, -1054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/14 + (-4)\/(-14). Let b(t) be the third derivative of -t**4\/24 + 3*t**3\/2 + 2*t**2. Is 3 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**4\/6 + 4*m**3\/3 + m**2. Let l(a) = 9*a + 17. Suppose 3 + 11 = 2*y. Suppose -4*s + y = 31. Calculate s*l(g) + 13*d(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*s + 26 = 0, 35 = -5*b + 4412*s - 4409*s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 814091 is divided by 271356.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -31. Let o = -26 + g. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 - 19*g - 1\/3*g**4 - 1\/15*g**6 + 13\/60*g**5 + 2\/9*g**3 + 1\/126*g**7 + 0. Suppose m(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) - -2*sqrt(72)) + sqrt(72) - (sqrt(72) + sqrt(72) + 1*sqrt(72)*2))\/((sqrt(48) + sqrt(48)*-2)\/sqrt(12)*4*-3).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/23754832 and 15\/65325788?\nAnswer: 261303152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954095 is divided by 402.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0a2 - 0?\nAnswer: c0a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 + 3)\/6)\/1. Suppose w = -8*z + 125 + 275. Calculate the remainder when z is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -78. Let p be m*-7*4\/(-4). Let q = 58 - p. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992517 to the power of 1\/2, to the nearest integer?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k + k)*(-16 + 13 + 12)*((0*k - 3*k + k)*(1 + 0 + 0) - 3*k + 4*k - 2*k).\nAnswer: 27*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*b = -71, 5*i + b - 137 = 2*b. Let r be i\/6 - 6\/4. What is the third biggest value in 3\/2, 4, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (868\/(-310))\/(3 - 58\/20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4) - (-6)\/(-12). Let o be (-6)\/5*30\/(-9). Suppose 3*z - o*t - 35 = -10, -5*z + 3*t = -27. Solve -1 = f*x - z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 3*h - 10. Let i be k(-7). Let u(j) = -9*j + 7 - i + 10 + 3*j. Let a(q) = q. Give u(a(o)).\nAnswer: -6*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {l: 1, p: 1, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -1.9, -54, -4.\nAnswer: -54, -4, -1.9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/((p\/p**(-2))\/p)*p*p)**(-49))**(17\/4)\/((p**(-7\/4)*p**2\/p*p)\/(p**(-5\/4)*(p*p\/p**3)\/p)) assuming p is positive.\nAnswer: p**(-2513\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*q**3 + c**2*q + c**2 + 2776*q**3 - 807*q**2 wrt q?\nAnswer: -12*c**2 + 16656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -6303745632.\nAnswer: -6303745632.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443987 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8894*k - 8903*k + 126 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 46. Suppose b = 2*h + 6*b + 10, 0 = 2*h - 3*b + 10. Let s = 4 - h. What is the remainder when g is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 2*u. Suppose 3*b - 3*z - 2*z - 1 = u, -2*z + 2 = 0. Suppose 0 = -2*r + 5 - 1. Calculate the smallest common multiple of r and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*l**3 - 9533061*c*l + 6*c + 803448 wrt l?\nAnswer: 6*c*l**2 - 9533061*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 6 = -3*b - 2*p, 5*b + 9 = -3*p. Suppose b = -9*o + 12*o - 9. Solve q = 4*q - y + 5, o*y = -5*q + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 72*i = 71*i + 4562, 2*i = 4. Calculate the highest common factor of l and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17587 bigger than -17581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**3 - 112*r**2 - 8*r - 92. Determine u(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -8, 759403 in increasing order.\nAnswer: -50, -8, 759403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 25218.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1962564 is divided by 4846?\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 81*c**2 - 2*c + 1. Is 20 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 1070054*c + 1070055.\nAnswer: -(c - 1070055)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -59*s + 186. Calculate a(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 13*j**2 + 7*j - 6. Does 15 divide u(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**4 - 8*h**3 + 7*h**2 - 4*h. Let m(n) = -10*n**4 + 16*n**3 - 15*n**2 + 9*n. Let g(f) = -6*m(f) - 13*x(f). Factor g(d).\nAnswer: -d*(d - 1)**2*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11293*o + 11297*o. Which is smaller: 1\/631 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 25*p = 8. Let g be (p\/4)\/((-2)\/12). Solve 0 = 8*d - g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15794.93 tonnes?\nAnswer: 15794930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -15. Suppose -4*s + p = -2*s. Suppose 6 = 3*a, 0 = 2*j - s*a - 46 + 2. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 10 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((105\/(-150))\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 96*h - 381. Let u be d(10). Solve -u = -8*l - 547 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*t + 370*t = -351*t + 133*t - 2634 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 404833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4355 and 3259215?\nAnswer: 42369795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -6.2?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172185954.10000019 + 172185952. Let z = -0.8 - 1.3. Let g = t - z. What is g rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5196794 by -2.\nAnswer: -2598397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1042*f - 5180. Determine u(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -5, -3\/2, -13, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3623300 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3065*p**2 + p - 4. Let d(x) = 2 - 20 + 3*x + 2 - 9196*x**2 + 5. Let h(f) = 6*d(f) - 17*o(f). Let t be h(-1). What is t rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*(3 - (-12)\/16). Suppose m + 5*u = -2*m + 250, -4*m = -n*u - 380. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27801825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6978 and 480.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 4) to base 11.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 12940463?\nAnswer: -1\/12940463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 8. Let f be m(8). Solve -10 = -v - 5, -l + 2*v - 6 = f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 798 + -795. Let r(q) = -q**3 + 3*q**2 + 3*q - 12. Give r(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -23, -1514, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtncthdrthctctrdtd. Give prob of picking 1 c and 1 d.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16385421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 97, 3 in decreasing order.\nAnswer: 97, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12220121102221 (base 3) in base 10?\nAnswer: -3141583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -3*o + 4*o, 0 = 3*g + 6182*o - 3092*o - 3091*o + 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10) + (-16)\/40. Let y = 0.04 - 3.04. What is the biggest value in b, y, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -10*w - 3*n + 3795, 0 = 5*w + 5*n - 4750. Are w and 945 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 198\/7 - (115\/35 + -3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 17*c + 267. What are the prime factors of m(0)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5168 and 3722898.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*t - 2*t + 22, 3*z - 3*t = -3. Suppose -3*n - z + 15 = 0. Let d = -1 + n. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.49 + 0.01. Let l = -0.11 - 7.89. Let w = l + 7.9. Which is the third smallest value? (a) w (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260570000 rounded to the nearest one million?\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 572415 by 3693.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:16 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 - -1*(-2)\/(-2). Calculate the remainder when 49 is divided by (-11)\/11*1*w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.566323875 rounded to 4 decimal places?\nAnswer: 4.5663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202990 + 4?\nAnswer: -1202986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (1*-2*sqrt(77) + sqrt(77) + sqrt(77))) + sqrt(77))\/(1*(sqrt(11) - sqrt(33)\/sqrt(3)) - sqrt(11)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:19 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l + 4*y = 14*l + 22, l = y - 4. Which is the closest to -2? (a) -4 (b) l (c) -818 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5670 - -5670.2. What is the fourth biggest value in r, -1\/85, 1, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 1*sqrt(2)))**2.\nAnswer: 90*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -13*y**4\/4 - y**3\/3 - 9*y - 1. Suppose -3*x = -6 + 12. Let r(g) = -3*g**3 - 2. Give x*o(z) + 9*r(z).\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 3*z + 5*z + 0*z - 3 + 6*z**3 + 0*z**3. Is n(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/5*u**2 + 16\/5*u - 4\/5 = 0. What is u?\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4287 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Is 15 a factor of r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.801609 to 2 decimal places.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 14*s)*(-1 + 0 + 3*s**4 - 2*s**4).\nAnswer: -14*s**5 + 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 21146 = 3*w, -3*n - 8471 = -5*n + 3*w. What are the prime factors of n?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 6*i**2 + 5*i + 17. Let c be v(-5). Suppose c*r - 20*r = 0. Suppose -5*g + 370 = p - 119, r = -3*g - 4*p + 290. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.06 and 1.32.\nAnswer: 4.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64698 - 44338. Round p to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 385610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4279 + 9745. What are the prime factors of s?\nAnswer: 2, 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 9. Let m be ((-2)\/d)\/(2\/3). Let q = 3.2 - 3. Which is the third biggest value? (a) m (b) -2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 + 1429900*i - 7149375 = 0 for i.\nAnswer: 5, 285975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000223106 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/6031652 and 9\/1782079.\nAnswer: 78411476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 216110543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/3407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - 5*w + 14*w - 11*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**7\/1260 - v**6\/180 - v**5\/20 + 3*v**4\/8 + 10*v**2. Let p(t) be the second derivative of n(t). Factor p(k).\nAnswer: 2*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 + 186. Calculate the remainder when l + 5\/(-15)*-15 is divided by (-9)\/(-2)*(-110)\/(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-134288.\nAnswer: -40286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/4*(-7)\/(-21). Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5100)*-3 - sqrt(5100) - sqrt(5100))\/(-1*sqrt(12)).\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177.\nAnswer: 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = 5*w, -3*t - 16 = 3*w - 31. Let b be t*13\/(650\/15). Factor -2\/5*h - 12\/5*h**3 + b*h**2 + 0 + h**4.\nAnswer: h*(h - 1)**2*(5*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2*l*l*l\/l**(-3)*((l\/(l**5*l))\/l)\/(l*l*l**5*l))\/(l**5*(l\/(l\/l**0))\/l)**49 assuming l is positive.\nAnswer: l**(-202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 511*d**5*p + 1332*d**4*p + 10*d**2*p + 106*d**2 - 2*d*p - 3*d - 8*p + 18 wrt d?\nAnswer: 30660*d**2*p + 31968*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988880017 a multiple of 6968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1008) - sqrt(1008)*-2) + sqrt(14)\/(-1*sqrt(8)))*-2)**2 + 5.\nAnswer: 35291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*s**6 - 3*s**4 - 18*s**2 wrt s.\nAnswer: -4200*s**3 - 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**14*c)\/c**(19\/4))\/(c*c*c**(1\/61)*c*c\/c**(-5\/13)) assuming c is positive.\nAnswer: c**(18553\/3172)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-1))\/(1*(-22)\/(-11))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*w = -0*w - 25, 20 = 4*u - 5*w. Solve u + 25 = 6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -3 - ((12 + 13 - 3) + -10 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101102 - 2021220?\nAnswer: -21200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2718 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249395 is divided by 1302.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76, 135, 172, 175, 132, 31?\n\"Answer: -2*h**3 + h**2 + 70*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*y + 6, -6 = 2*n - 4*y + y. Let r(i) be the third derivative of -4*i**2 - 1\/2*i**3 + n*i**4 + 0 + 0*i + 1\/15*i**5. Differentiate r(t) wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwiwwwwwwwwxw?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 33*u + 13. Let z(q) = -4 + 4*q - 2 - 20*q. Let h(t) = 6*o(t) + 13*z(t). Let m(y) = 8*y. Calculate h(m(d)).\nAnswer: -80*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**8\/1680 - b**7\/525 + b**5\/150 + b**4\/120 - 20*b**2. Find c such that z(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -9, 1, -56, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -9, -56, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3395691 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5 = -9*g + o, 6*g + 25 = -5*o. Suppose 5*v + q = 22, g*v - 3*v - 2*q = -16. Solve -2*j = 6*k - 4*k - 20, -v*k + 5 = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282 and 32289.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/10 - 3889*j\/5 - 4665\/2.\nAnswer: -(j + 3)*(j + 7775)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.4 - 43. Round l to 0 decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 2*j + 5. Let p be z(0). Put -4, p, -6 in descending order.\nAnswer: p, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13010 (base 5) in base 8?\nAnswer: -1755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-14))\/((-75)\/(-35)). Let j be (4\/10)\/((-4)\/20). Let a be j + (19\/7 - 1). What is the biggest value in a, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 - 193. Let r(h) = 2*h**2 + 20*h - 40. List the prime factors of r(l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/12 + 2*s**3\/3 + 286*s**2. Let m(y) = y**2 - 2*y + 5. Calculate -6*a(x) + 5*m(x).\nAnswer: 5*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1452, -1453, -1454, -1455, -1456?\n\"Answer: -l - 1451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 20. Let c(h) = 3*h**2 + h. Determine c(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.46449 less than -1.2?\nAnswer: -50.66449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 5, -3, -31, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*r - 81*r = 15*r - 4347 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12724 = 68397. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4172 - 0.4828. Which is the fourth smallest value? (a) n (b) 2\/3 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l**3 - 164*l**2 + 176*l + 338. Determine v(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, w: 1, z: 1, r: 1, e: 1, t: 2}. What is prob of sequence ztes?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3 = m - 1, -4 = -4*m + 5*a. List the prime factors of (((-336)\/9)\/4)\/(m\/366).\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1964482430?\nAnswer: 2, 5, 17, 61, 189439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkzzzz. What is prob of picking 1 k and 1 z?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**3 - 152*l**2 + 51*l. Calculate p(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*v - 74*v + 135*v + 31*v.\nAnswer: 367*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 31 + 14 - 49*p + 3*p**2 - 2*p + 2*p**3 to the form d + m*p + g*p**3 + v*p**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + (-6 - 1) - -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -5\/6*q**4 + 0*q - 53*q**2 + 0 - 23\/2*q**3. Find the first derivative of t(i) wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 25*k**2 - 118*k - 318. Determine u(29).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m - 5. Let j be v(6). Suppose 0 = -5*z + j - 9. Let o be -458 - (z + -1) - 1. Round o to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 208 and 7699418?\nAnswer: 7699210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) - (sqrt(768) + 1)) + -2)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -14*d. Let l(k) be the first derivative of 18 + 0*k + 0*k**2 + 10\/3*k**3. Determine q(l(t)).\nAnswer: -140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 20*j + 19. Let n be r(-21). Let a(o) be the first derivative of o**2\/2 + 2*o + 1. Give a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 5\/(35\/301) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 26314 = 26152 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 13. Let g be k(-5). Suppose -2*w + 17 = -4*b + g*w, -2*b + 4*w - 16 = 0. Solve -2*d + 3*d = b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t**3 + 2*t**2 + 3*t + 2. Let a be h(-1). Suppose -14 = 2*b - 4. Let s be (-3 - b)*(-3)\/(-2). Sort 5, s, a.\nAnswer: s, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - g - 4*j = -5, 2*g + 8 = 3*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 2*u**2 - u + 0*u)*(0 - 7 + 3)*(2*u + 20*u - u).\nAnswer: -168*u**3 + 84*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 5*n**2 + 4. Let c be i(5). Suppose 5*k - 20 = -c*x, -6 = 4*k + 2*x - 22. Put 0, -1, k in ascending order.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**(-20\/9))\/w*w)\/w**10 assuming w is positive.\nAnswer: w**(-92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, 21, -44, 1, 26.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 45*a**2 + 11*a + 11. Let i(s) = 9*s**2 + 2*s + 2. Let d(h) = 11*i(h) - 2*u(h). Let t(w) = -6*w**2. What is t(d(c))?\nAnswer: -486*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - 3*(sqrt(8)*-1 + sqrt(8)))\/(2*sqrt(64) - sqrt(64)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.247676 + 0.047676. Let r be 1\/(1*(-2)\/(-4)). Which is the closest to 0? (a) 2\/9 (b) r (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 + 2*a**3 - 3*a**3 + (-34 + 3*a + 34)*(a**2 - 3 + 3) + 4*a**3 + a**3 - 3*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5276*m + 39761. What is i(8)?\nAnswer: -2447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 3*l - 75, 2081*u - 339 = 2085*u + l for u.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -97, -190, -373, -676, -1129?\nAnswer: -1762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -478, -842, -1206, -1570, -1934?\nAnswer: -2298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 5*s + 1. Let q be m(5). Suppose -5*g + 14 = -4*w, w + q - 6 = -3*g. What are the prime factors of (2\/4)\/(w\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 11*s**3 + 9*s**2 + 5*s. Let h(b) = -b + 7. Let q be h(15). Let p(i) = -17*i**3 - 14*i**2 - 8*i. Determine q*f(d) - 5*p(d).\nAnswer: -3*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147.2 + -147. Which is the closest to 0? (a) 0 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 5*v**2 - 2*v + 2. Let i(r) = -3*r**3 - 7*r**2 + 4*r - 5. Give -2*i(z) - 5*k(z).\nAnswer: z**3 - 11*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f - 32. Let y be (-1)\/4 + (4 - (-58)\/8). What is the remainder when o(y) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(220))\/sqrt(10))\/(sqrt(11) + (sqrt(11) - sqrt(88)\/(sqrt(80)\/sqrt(10))) + sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42*-0.01\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 + 18 = 0. Let w = -12 + 8. Sort w, q, 5.\nAnswer: q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (12 - (-1 + 27) - (-64 - -59))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 41*g = 96. What is the common denominator of 1\/2 and 106\/40*(-1 - (-3)\/g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.49 + 47.51. Let y = -47.9 + s. Let n = 35 - 177\/5. What is the third biggest value in y, -14, n?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j + 2. Let z(l) = 8*l**2 + 7*l + 14. Let u(i) = 7*f(i) - z(i). Let b(h) = 2*h - 582. Determine b(u(t)).\nAnswer: -2*t**2 - 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 392 = 228. Suppose -3*a + 185 = -d. List the prime factors of a.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4 + 1 - 4*v - 4 + 7*v. Suppose 3*q + 10 = -i, -3*i = -2*i - 2. Calculate d(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43671259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -3531, -12560, -30473, -60312, -105119, -167936, -251805?\nAnswer: -359768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygy when three letters picked without replacement from {y: 2, g: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2 + (-1 - 1 + 0)*(5 - 3 - 1) + 0 - 2 + 3)*(-2*h + 64 - 64).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 9*c + 114. Let l(g) = g**3 - 6*g**2 + 6*g - 1. Let q be l(5). Suppose 16 = q*j - 12. Calculate the remainder when c is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 997955 to the nearest ten thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 2 + 15 + -19.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**6 - 179*w**4 - w**3 + 5256*w**2 wrt w.\nAnswer: 360*w**3 - 4296*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1 = -3*w. Suppose -7 = -2*a - w. Solve a*o + 3 = s - 2, 4*o = -4*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (-55 - -44)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10216857.6533 - 10216261. Let x = l - 592.553839. Let a = x - 4.1. What is a rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let u(c) be the first derivative of 1\/2*c**2 - 32 + 0*c. Give 6*m(x) + 5*u(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 395*n**2 + 1940*n - 125. Let f(z) = 197*z**2 + 970*z - 55. Let s(d) = 5*f(d) - 2*q(d). Find v, given that s(v) = 0.\nAnswer: -5, 1\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 (base 14) in base 13?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:36 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 101 = 5*s, 4*f + 18 = 30. Let m(t) = t**3 - 22*t**2 - 13*t**2 + 47*t**2 + 3 - s*t**2. Give m(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - j - 6. Let h(f) = 4*f**2 - 7. Let x(r) = 4*h(r) - 5*n(r). Let d be x(-6). Solve d*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 12216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*3)\/(sqrt(12) - (-1*sqrt(96))\/sqrt(8)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -0.09. Let b = 4 - 6. Let i = 4.04 - 0.04. What is the second biggest value in b, i, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -32. What is the nearest to 1 in f, -2\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/7)\/((-10)\/(-70)). Suppose h*z = z. Suppose 5*m + 4*a - 98 = z, -m + 4*a + 0*a + 10 = 0. Calculate the greatest common divisor of m and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**4\/4 + u**3 + 3*u - 16. Let y be d(-4). What is the nearest to y in 0.5, -1\/10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -7*i + 2, 0 = 155*c - 153*c - 3*i - 1336 + 1322 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39019, 38851, 38701, 38575, 38479, 38419, 38401?\nAnswer: 38431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 0 + -54 + 0. Let s = -142 - -132. Let h = s - f. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, t: 1, q: 6, h: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 0 - -2 - 0. Suppose 2*i - 2*b = -5*b - 8, b = 5*i + 54. Put i, n, -2 in descending order.\nAnswer: n, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.387682 rounded to 3 dps?\nAnswer: 0.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*z + 102 = 2*g, -z - 151 = -3*g. Suppose -2*t + 12 - 8 = 0. Suppose -14 = t*d - g. Solve -5*u + 3 - d = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let j(y) = 322*y - 14. Let a(g) be the second derivative of -161*g**3\/6 + 4*g**2 + 62*g + 2. Let u(z) = 7*a(z) + 4*j(z). Determine u(o(b)).\nAnswer: 322*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 85 + 43 + 42. Let j(d) = 7*d. What is j(t(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -2. Let d = 2 - 2. Suppose d = w*a - 3*a. Which is greater: -2\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -111010100001110110?\nAnswer: 111010100001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*m**4 - 999*m**3 - 36*m - 61619376 wrt m.\nAnswer: 340*m**3 - 2997*m**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 52. Let p = -1 - -1.2. What is the nearest to -1\/4 in h, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = o + 72, 4*o + 75 = -2*p - 159. Let v be ((o\/50)\/(-1))\/((-4)\/(-1490)). Is v at least 448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-533787)\/(-12) - (-24)\/32 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w + 59*w = 1272480. List the prime factors of w.\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -62 in -0.3, -10, -1, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 2*q + 6 - 7*q)*((4 - 4 - 1)*(4 + 3*q - 4) - 21*q + 27*q - q).\nAnswer: -4*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g**3 - 65*g**2 + 70*g = 0.\nAnswer: 0, 2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1301 - -1477. Which is bigger: s or 175?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 26*m - 44*m + 184. Let j(a) = a**2 - 11*a + 5. What is the lowest common multiple of m and j(11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 - 524 = -44*x. Let y = -12 - 8. Let g = x + y. Solve g*z = z - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-9) + (-11660)\/(-30). What is p rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5\/11 - 42362*o**4\/11 + 224380910*o**3\/11 - 61160138*o**2 - 169424*o\/11 + 897015368\/11 = 0.\nAnswer: -1, 2, 10589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Suppose -7 = -11*c - 29. Let q(v) = -3*v**2 - v. Give c*p(t) - q(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**3 - 129*q**2 + 53*q - 5. What is g(-22)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 95136848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -498 greater than -508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16265781?\nAnswer: 3, 7, 29, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * 4.3947.\nAnswer: 109.8675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -11071903?\nAnswer: 2\/11071903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(0 - -23) + 42 + (-19 - 53 - -23).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 3)*(-13*w + 4*w + 0*w) + (1 - 2 + 0)*(-3 + 3 - 3*w) to the form c + x*w and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/5 + 94*a**2\/5 + 16*a - 552\/5 = 0. Calculate a.\nAnswer: -46, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.4, 2\/9, 3\/4, 2\/11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-108))\/((-20)\/30)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1037 and 10004?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25380 is divided by 143?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 + 5*p - 15. Let n be y(7). Suppose -2*u + 236 = 4*a - 0*u, 5*u = n. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3259 * -0.0913\nAnswer: -297.5467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 2. Let v(c) = c**2 - c**2 - 1 - 4*c**2 + 5*c**2. Give o(y) - 2*v(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -25*b**3\/6 + 9*b**2 - 46*b. Differentiate c(i) with respect to i.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 368966331 to the nearest integer?\nAnswer: 19208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96692 divided by 24173.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 1140581835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 7*s + 7. Let b be w(-7). Suppose 3*n - b*n + 128 = 0. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 2. Let q be f(3). Suppose 5*n = -4*w + 8 - 0, -2*w = -q. What is the units digit of (n\/3)\/3 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let z(c) = -2*c + 1. Let f(d) = 27*d - 4. Let t(b) = f(b) + z(b). Let a(l) = -25*l + 2. Let y(r) = -3*a(r) - 2*t(r). Give v(y(s)).\nAnswer: 1250*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 60 + 52)*(0*t + 0*t + 2*t)*(-3*t + 5*t + 0*t) as m*t + n*t**2 + h and give n.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -25.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 175*u + 1762. What is the remainder when 6610 is divided by m(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1128042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*q**5 + 1152425*q**3 - 100259858*q**2?\nAnswer: -1080*q**2 + 6914550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1313 greater than -1311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49181707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 72*t + 3. Let a be y(-4). Calculate the remainder when a\/(-9) + (-2)\/(-6) is divided by (-22)\/1*7\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104 - 5*v - 102 - 2*v)*(4 - 3 - 3) to w + n*v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3527, 6632, 9737, 12842, 15947, 19052?\n\"Answer: 3105*o + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 112.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68)\/(-7) + 2\/7. Let i be (-6)\/d*5\/(-1). Factor -r**3 + r**2 - i*r**4 + 0*r**2 + 2*r**4 + r.\nAnswer: -r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35211502 (base 7) in base 10?\nAnswer: -3095479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2\/7 (c) 0 (d) -23772\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 102\/(-48)) + 2019\/(-24). Let u = 103 + m. What is the remainder when 90 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2886.\nAnswer: -1\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 13*d**2 + 12*d + 167. Let l be s(-13). Solve -42 = -l*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1054 and 947316228.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953 is divided by 131.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 11*t**2 + 2*t. Let q be x(-2). Suppose 3*v - q = -k + 28, 4*k = v - 1. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -66 + 5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a + 4*t - 226 = 0, a - 70 = 4*t. Let k = a + -19. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/(s*s*s**(-12)))*s*s)*s*s*s**(32\/3)*s*s*s*s)\/(s**(-1\/12))**(-27) assuming s is positive.\nAnswer: s**(281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 2 + 5*y - y)*(6*y**3 - y**3 - 3*y**3 + (-y - y + 4*y)*(1 + 2*y**2 - 1) - y**3 + y**3 - 2*y**3).\nAnswer: -28*y**4 - 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/((-66)\/6) + -4. Solve -10*i = l*i + 24 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 10*y**2 + 6984246*y**3.\nAnswer: 6984246*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 9 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107239897, -107239898, -107239899?\nAnswer: -107239900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*j + 15. Put j, 5, -4, -1 in decreasing order.\nAnswer: 5, -1, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 - -56. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 1227 + 1227 + 3*r - 2426.\nAnswer: 2*r + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 6. Let u be a(-6). Let k be u\/10*(-120)\/(-16). Let c be (-152)\/(-6) + 6\/k. What is the greatest common divisor of 39 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-15)*-1 - 15*(-3152)\/3600.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:46 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/22))**(3\/5)*a**(-26\/5)*a**(-2\/55)\/a*a assuming a is positive.\nAnswer: a**(-573\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -33*d**5 + 60*d**2 + 9*d + 9. Let a(g) = -17*g**5 + 30*g**2 + 4*g + 4. Let u(f) = -9*a(f) + 4*p(f). Find the third derivative of u(l) wrt l.\nAnswer: 1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*9\/9. What is the nearest to -1 in u, -2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110476 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*9\/30 + (-708935)\/(-1775) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 24 = -3*q. Let v(y) = -y**2 - 6*y + 3. Let b be v(-6). Let s = -1 + b. Calculate the lowest common multiple of q and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 less than -1611155225?\nAnswer: -1611155210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -24*w**2 - 5*w + 5. Let m be f(1). Let l be (-3 + 2)\/(-3 + (-76)\/m). List the prime factors of (4 - 4)\/l + 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -418606*k**4 - 4*k**3 - 26060*k**2 - 2*k - 20 wrt k.\nAnswer: -10046544*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 314*o**7\/105 + 7*o**6\/120 - o**5\/30 - 172*o**4\/3 - 5815*o**2 + 2*o. What is the third derivative of p(x) wrt x?\nAnswer: 15072*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/(u**(-1\/8)\/u))\/u)*u**(-5)*u*(u\/(u\/(u*u\/u**2)))**(-2\/59))**(15\/11) assuming u is positive.\nAnswer: u**(-45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39216744 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 4:11 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-3 - -7) - (14 - 25).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1*(3 - -201*1). Calculate the highest common divisor of 48 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5\/8 + 66771*t**4\/8 - 371697417*t**3\/8 + 1857018381*t**2\/8 - 139186260*t - 835568163\/2 = 0?\nAnswer: -1, 3, 11126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 485960 + -485960. Let z(i) = -i**3 + 5*i**2 - 5*i + 4. Suppose -2*w - w = -12. Let x be z(w). Solve y = -l - x - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 219977366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -10\/7, 2\/17, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -265*u + 2. Let g(o) = 8*o**2. Determine l(g(j)).\nAnswer: -2120*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5830 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62244 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -1, 0.1, -432\/5, 40, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 + 543.9529. Let o = 0.018 + v. Round o to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8) - 58\/(-20) - 3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2582*x + 2591*x - 9. Is x greater than 7\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:28 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - c - 12 + 14 + 27 + 14 to a + r*c and give a.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5 - 2*f**4 + 758*f**3 - 31*f**2 + 451*f wrt f.\nAnswer: 360*f**2 - 48*f + 4548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1939*v + 6979*v + 60480 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let h = -3630\/6377 + -2\/911. Which is the smallest value? (a) h (b) v (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 199, -853, -3765, -9467, -18889?\n\"Answer: -155*u**3 + 33*u + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1036295277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -2*a - 16, p - 274 + 22 = 51*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(70)\/sqrt(10)*-3 + sqrt(7))**2 - (sqrt(504)\/sqrt(8) + sqrt(63))\/sqrt(9).\nAnswer: -28 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35787 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1601*f**3*l**2 - 3*f**3 - 65*f**2 + 2*l**2 + 2*l wrt f?\nAnswer: -9606*l**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 2*c + 70. Let a be f(0). Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 38 = -94. Let p(h) = h**3 + 14*h**2 - 3*h - 32. Let u be p(l). Which is smaller: 0.4 or u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by -138.\nAnswer: -155\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2057*q = -2053*q + 4. Sort -2, 38, q in descending order.\nAnswer: 38, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 956367*h**3 + 3*h**2 + 144665*h**3.\nAnswer: 1101032*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 h, and 1 q when four letters picked without replacement from cccchqchhq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -1\/20*d**5 + 0 + 0*d**4 - 2*d**2 + 0*d + 0*d**3. Factor s(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -10, 3 in decreasing order.\nAnswer: 5, 3, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10\/3*d**2 - 4\/3*d + 0 - 8\/3*d**3 + 2\/3*d**4.\nAnswer: 2*d*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18631 or 18635?\nAnswer: 18631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*b + 3*b = 14, 5*b + 6 = 4*g. Let t be (10\/(-4))\/(g\/(-8)). Let j = t + -6. Round j to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(110\/420 - 4\/42). Suppose -64 + 40 = -q*a. Calculate the remainder when 51 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5453.\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251766 = 2083*t - 401742 for t.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4, 0, 5 in decreasing order.\nAnswer: 5, 4, 0, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -b + j + 25, -4*j = -3*b + 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*18\/4 + 4. Let s(f) = -2*f**2 + 3*f**2 + 5*f + 0*f**2 + 4. Let o be s(-6). Put 5, o, u in decreasing order.\nAnswer: o, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 428 - 428 - 2*o**3)*(o**2 + 3*o**2 - 5*o**2).\nAnswer: 2*o**5 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 3, 2\/7, -0.01.\nAnswer: -0.06, -0.01, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 881 + -926. What is the biggest value in 9, -5, j, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(((-1209)\/(-124))\/13*8\/(-6))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + n + 2 + (n + 2*n + n)*(1 - 2 + 0) + 2 + 2*n - 2.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -10. Sort 0.5, b, -5 in descending order.\nAnswer: 0.5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-9))\/((-2)\/192*-4). Find the first derivative of 29*m + 16*m - d*m - 69 wrt m.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 865754?\nAnswer: 4328770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*b - 853 + 853)*(4*b**2 - 4*b**2 - 6*b**4).\nAnswer: -150*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 1*sqrt(612) + -1 + (2*sqrt(612)*-5)**2)*-2.\nAnswer: -122398 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 8:32 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -122, 4345 in descending order.\nAnswer: 4345, 2, -3, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 13 - 21. Suppose -2*b + 21 = 3*h, 5*h - 2*h = 3*b + 6. Suppose 4*q + 14 = -d, b*q = -2*q + 2*d - 11. Sort q, i, 28, -1 in increasing order.\nAnswer: i, q, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1756511 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -248, 1237, -5 in ascending order.\nAnswer: -248, -5, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q + 5*q - q - 4*q + 3*q + 3*q + (-1 + 0 + 3)*(q - 4 + 4) + 0*q + q + q + 26 - 26 - 9*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1085*v + 2807*v + 2636*v + 2734*v to the form w*v + d and give w.\nAnswer: 9262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147170 (base 11) in base 10?\nAnswer: -2000691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -955286 and -0.5.\nAnswer: 477643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*d + 4. Suppose -r = -0 - d. Let v(c) = -53*c + 481. Let u be v(9). Solve -m = -u*s + r*m - 7, -3*m = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0 + 5\/24*u**4 + 0*u**3 - 7*u + 3*u**2. Let r(m) = 5*m**2 + 0*m**2 + 0*m**2. Determine r(n(o)).\nAnswer: 125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 - 693*a**2 - 47727*a + 149445 = 0?\nAnswer: -615, -81, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 2*g**2 + 7. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91369.9 weeks to seconds.\nAnswer: 55260515520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*l = -210. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4226 divided by 1366?\nAnswer: 2113\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -34*v**2 - 2576*v + 589. Give p(-76).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5 - 6*s**4 - 71*s**3 + 108*s**2 + 700*s + 528 = 0 for s.\nAnswer: -6, -2, -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -d = -w*d + 30. Let q = 29 + -11. Calculate the remainder when q is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d + 58*d - 31*d + 36257 - 36257.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -526 + 943. Suppose -n = 4*l + 159. Does 6 divide (l + 0)*6\/(0 + -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p - 45. Let t be r(8). Let d be t\/((-24)\/(-322)) + 17\/(-68). Suppose -3*u + 135 = 15. Do d and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 441 + -239. Let t = -181 + w. Solve t = 6*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -16*m - 15. List the prime factors of h(-7).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k = -112. Is (k\/42)\/(-2 - 250\/(-126)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -871.503494984 + 20.503434084. Let n = k + 851. What is n rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/18 - 70*p**3\/27 - 4*p**2 - 117. Factor l(z).\nAnswer: 2*z*(z - 36)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -112275, -112273, -112271, -112269?\n\"Answer: 2*i - 112277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 121013 (base 4) to base 2\nAnswer: 11001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + l - 2*l + (1 + 0 - 4)*(-5*l + 0 + 0) - 3 + 3 + 2 - l.\nAnswer: 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 - 43. Let q(v) = 87755*v**2. Give n(q(f)).\nAnswer: 46205640150*f**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -118, -4138, -15948, -39442, -78514, -137058?\n\"Answer: -649*h**3 - h**2 + 526*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + 3 + 1 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (0 - 3 - -1) + 131. Let i = x + -59. List the prime factors of i.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27579075 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -29. Solve 0*y = o*y - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62427148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 20*q**2 + 20*q + 21. Let x be h(-19). What is the units digit of ((4 + 0)\/x)\/(4\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-27) + (-11)\/(-3). Suppose -m*n - 14 = 6. Let j = -2 - n. Solve 0 = 3*v + 4*u - 18, 4*u = j*v + v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 104 = 4*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 6 = 18. Suppose 2*z - z - k = -55, 2*z - h*k = -105. Let i = 85 + z. Is i 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 {x: 5, s: 6, i: 1, r: 3, c: 3, k: 2}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/2 - 54396897*w - 108793797\/2.\nAnswer: 3*(w - 36264599)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.78 times -0.3288?\nAnswer: -4.859664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*g**3 + 32820*g**2 + 480*g - 67?\nAnswer: 138*g + 65640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23098 + -18932. Does 67 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 1, j: 2, z: 6, f: 7, s: 1}. Give prob of picking 1 s, 2 z, and 1 f.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212644.95 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001307334349 rounded to 6 dps?\nAnswer: -0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80912, -162278, -244100, -326378, -409112, -492302?\nAnswer: -575948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 90840 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + 2*b, -25 = -4*z + b + 4*b. Solve z*i = i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*p**2 + 41*p**4 + 43*p**2 - 28*p**2 wrt p.\nAnswer: 984*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**2 - 2*d + 4. Let s be t(2). Let k = s + -19. Let b = k + 1. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 8*v - 4. Suppose 3*y + 9 = 2*y. What is the units digit of f(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 989 + 1612 = -382 - 1537 for h.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305807?\nAnswer: 103, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 67*k**4\/4 - k**3\/3 - 9*k**2\/2 - 57. Find the third derivative of l(v) wrt v.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.5 - 64. Let t = -0.4 - x. What is the closest to 2\/7 in -1\/13, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -102*t**3 - 2*t**2 + 1. Let m be a(1). Is (m\/3)\/((-1)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + -a8?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 32772 divided by 3\nAnswer: 10924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3671*t**2 - 886*t**2 - 827*t**2 to the form g*t**2 + c*t + o and give g.\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723492587 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*h**3*w**2 - 2*h**3*w - h**2*w - h*w - 2*w**4 wrt w?\nAnswer: -96*h**3 - 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from waswwwwawswawwwwwawa?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/127 + 119\/508. Let b = 0.09 + 7.91. Let t = 5 - b. What is the biggest value in a, t, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.75 - -5\nAnswer: -11.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 64 - (98 + -66 + -21)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.34 + -0.34. Let r = 14 - l. Is 3\/5 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -0.1 (c) -2\/9 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-2 + 9 - 25) - -11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1768)\/(-14) - (-26)\/(-91) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -412, -620, -826, -1030?\nAnswer: -1232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 60, 82, 124, 192, 292, 430, 612?\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 - 16*c - 264. Calculate j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -114995382.9 to the nearest 1000000.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8ce - 4?\nAnswer: -8d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 24*q**2 + 21*q - 21*q)*(-2*q + 3 - 3) + (-3*q**3 - 3*q**3 + 4*q**3)*(-1 + 3 + 0).\nAnswer: -52*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khjlwrlwlkk. What is prob of picking 1 l, 1 j, 1 h, and 1 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2981196 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -459.0249 + 459. Let k = m + 68.2249. Let b = k + -66. What is b rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, z: 1, t: 2, f: 2, q: 1}. Give prob of sequence vq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 9:23 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 7:41 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60722 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khkh. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247 - -362. Suppose 0 = 28*v - 33*v + j. Solve 3*n - 8 = -v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 121ac?\nAnswer: -121b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/60 + 19*p**3\/6 + 4*p**2. Let x be c(-4). Solve -4*j = -2*l + 2, 2*l - j = l + x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 59. Let l = -2 + 5. Let y be l*(-7)\/(42\/z). Calculate the greatest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.8857365.\nAnswer: -0.44286825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 39. Which is smaller: m or -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18428 - 77*k**3 - 18428.\nAnswer: -77*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 3.4. Let g = d + -0.8. What is the second biggest value in 2, 3\/4, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19737, 39487, 59235, 78981, 98725, 118467?\nAnswer: 138207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-6) - (47\/(-2) - 4). Suppose -10 = -k - s, -x - 5 = -4*k - 2*s. Calculate the remainder when k is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 3*z**2 - z. Let x be s(-2). Let m(j) = -43*j**3 + 3*j**2 + j + 1. Is m(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 148.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - -1487. What are the prime factors of o?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7041, 7043, 7047, 7053, 7061, 7071?\nAnswer: 7083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1382, -1381, -1380, -1379?\n\"Answer: y - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/4, -2\/5, 1\/3, 0.4, -1\/3, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*a, 4*b = -5*a + b. Suppose -5*r + 861 - 266 = a. Let v be -2 - 2\/((-4)\/38). What is the highest common factor of r and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -5*a - 15, 10 = -5*a. What is the units digit of p - (35\/5 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16\/35 - -109\/315. Which is the smallest value? (a) -0.2 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-246)\/(-22) + 10\/(-55)*1. Suppose -8748 = -g*p + 12691. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -368, -980, -1588, -2192?\n\"Answer: 2*t**2 - 618*t + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178.5379ug to grams.\nAnswer: 0.0001785379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13b2 (base 12) to base 14\nAnswer: b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 2*i + 84, -k + 217 = -663*i + 669*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*w + 280 = 0, -5*d - 2*w = -3*w - 484. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j + 0*j + 9*j - 1. Let i be z(4). Suppose -4*g - g = 2*p - 143, -g + i = 5*p. Solve -4*v - g = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1464\/(-208) + (-7)\/(-182)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89252897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12054457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -11, 1, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - 0. Let f(u) = u**3 + 17*u**2 + 22*u + 27. Let c be f(-16). Let s = c - -128. What is the remainder when s is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2 + 150*k + 1373. Let r be d(-38). Sort -3, -5, 2, r, 4 in ascending order.\nAnswer: -5, -3, 2, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 1384858851.\nAnswer: -1384858850.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6318 divided by -2?\nAnswer: 3159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/((-31590)\/216)*(-200)\/110?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -760*v**3 + 760*v**3 + 4*v**4 - 33*v**2 - 635*v wrt v.\nAnswer: 48*v**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szs when three letters picked without replacement from zeseezsezezzsseezzes.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -74 + 170. Suppose 40 = a + 9. Let s = -19 + a. What is the highest common factor of c and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/1*(12 + (25 - 72)). Calculate the greatest common factor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)*y*y)**43\/((y**(6\/5)\/y)\/y)**(-1) assuming y is positive.\nAnswer: y**(5968\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvffafvaaffa. What is prob of picking 1 v, 2 f, and 1 a?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/33, -740\/3, -4, 0.2?\nAnswer: -740\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 - 36 + 19*p to y + s*p and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2319 = -1925. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1309 and 36839.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-13 - 7 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10643 is divided by 882?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i**2 + 4*i**2 - 17 + 17 + i. Let d be f(3). What are the prime factors of -1 - (-3 - 1) - d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 - ((-40 - -33) + (1 - 0) + 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, n: 1}. Give prob of sequence ny.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 12\/37, -10\/17, -4, 12?\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.1, -4, -2, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5309049 and 153.\nAnswer: 15927147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 5, 1\/934, -4, 1\/5 in decreasing order.\nAnswer: 5, 0.6, 1\/5, 1\/934, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -5*r + 212, 40 = t - 4*r. Let m be ((-4)\/(-6))\/(1\/t). What is the greatest common divisor of 48 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*f + 12. Suppose -5*t - 80 = -10. Calculate the common denominator of 81\/22 and 93\/t + f + -2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395220811 to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3658614 and 119514724?\nAnswer: 358544172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -29. Solve j = -4*c + 5*c - 6, 0 = -3*c - x*j - 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -39588*f - 510. What is j(0)?\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - e?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8695 or 8654?\nAnswer: 8695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 10*b**2 + 3*b + 4. Let g be f(9). Let v = g - 107. Suppose -3 = -x - 2*x. Solve x = v*o + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -t + 1, 2*u + 3*t = t - 4. List the prime factors of 2 + 0 + 267\/u + 2.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-5))\/(4 + (-45)\/12). Let s(w) = -i*w - 4*w + 6*w. Let a(d) = -5*d + 6. Calculate s(a(q)).\nAnswer: 10*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -181491739*m**2*r**5 + 3*m**2 - 809*m*r**2 - 771*r**2 wrt r.\nAnswer: -10889504340*m**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g**2*g)\/(g**(-5))**6 assuming g is positive.\nAnswer: g**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 353\/(5 - (5 - 1)). Suppose -3*l + 4*w = -o, 2*l - 4*w - 240 = w. Suppose 7*r - l = -31. What is the least common multiple of 8 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*b**3 - 10*b**3 + 44*b**3 - 6)*(-b + 2*b + b) to the form l*b**2 + q*b**4 + z + s*b**3 + k*b and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31, 61, 103, 163, 247, 361, 511, 703?\n\"Answer: o**3 + 23*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.38. Let x = 6837 + -6832. What is the closest to 1\/2 in r, 4, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.641118 rounded to two dps?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5927831148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = -4*t - 11, -10*c + 5 = -11*c - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106416?\nAnswer: 2, 3, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01706587 to four dps.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.17 + 1.17. What is the nearest to 2\/45 in -3, -0.3, 2, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/22 and 103\/7810?\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*d = -n + 7, 4*d - 14 = -2*n. Let h = 24 - 22. Suppose -n*m = -h*m - 12. Calculate the remainder when 34 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**4\/4 - 8*u**3\/3 + u**2 - 7*u + 47. Determine w(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3) - sqrt(36)\/sqrt(48)) + -3)**2*4 + -3.\nAnswer: -12*sqrt(3) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4136, 4\/91, -41?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*i + 6, p - 2*p - 4*i - 2 = 0. What is the third derivative of 5*w**2 + 3195*w + 5*w**3 + 18*w**p - 3195*w wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 25 = 5*m, -m + c - 5 = -3*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q = 45. Which is the smallest value? (a) q (b) -4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + -5*(-1*sqrt(3) + sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9)*18)\/(-10)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - 3*n + 3*n)*(n - 13*n - 13*n) as k*n + o*n**2 + d and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3900)\/(-520) - (2\/(-4) + 2). Let m(u) = u**2 - 2*u - 3. Give m(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (190\/57 + -3)*(23145 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 208?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 431 (b) -3 (c) -0.048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144287052 to the power of 1\/5, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.6 + 35. Put 0.3, -0.6, o, -4 in descending order.\nAnswer: o, 0.3, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, -751, -2561, -5379, -9211, -14063, -19941?\nAnswer: -26851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (10 - (31 + 9 + -12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 54*j**2. Let z(f) = 59*f**2 + 58*f**2 - 114*f**2. Determine a(z(u)).\nAnswer: 486*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 - 2)\/6*251. Suppose -q + 3*o + 22 + 121 = 0, 4*q + 2*o - u = 0. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/4 - 3\/12. Which is the third biggest value? (a) 1\/2 (b) i (c) -1\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 219*w + 10844. Determine y(-49).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42245?\nAnswer: 5, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 4*c - 47. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 13*w - 13. Let q be x(-18). Let c be (-3)\/4 - (q\/(-4))\/7. Sort c, 5, 3 in decreasing order.\nAnswer: 5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k = 292*k - 898 + 3661 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4089561*k**2 + 5021838*k.\nAnswer: -8179122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 104*w**2 + 368*w + 352.\nAnswer: 4*(w + 2)**2*(w + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -370.75065 rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 4:36 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.472 to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 + 6*l**2 - 14*l - 1704. Suppose -36 = -2*w + w + 5*b, 3*b + 70 = 5*w. What is k(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000468551393 rounded to 6 decimal places?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 1, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 8, 3*m = -3*t + 15. Suppose -5 = 5*u, w - 6*w = -5*u - 25. Solve -2*b + 5*y = 2*b - t, 0 = b + 3*y + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(sqrt(2) + -3) + 4)*6)**2 - (3*(sqrt(8) + 2) + sqrt(8) + 4)**2)*2.\nAnswer: -896*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 68. Let m(p) = -519*p - 541*p + 1073*p. What is m(x(y))?\nAnswer: 52*y + 884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.8266 years in millennia?\nAnswer: 0.7358266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*q = 8, -q + 3*q = x - 24. Let d(m) = -4*m - 12. Let v be d(-7). What is the remainder when 123\/2*v\/24 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169852?\nAnswer: 2, 42463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*v + 8 + 18, -o + v = 1. Let w = o + -6. What are the prime factors of w + 12 + 0 - -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 2*o + 2. What is c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001 + 1111010?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.53 - -10.53. Which is the second biggest value? (a) -1 (b) d (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from qqkuzzuqkqkqkukqzh?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/7788 and -149\/2832.\nAnswer: 31152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 4.4. Let a = -0.97 + -0.13. Let b = a - -1. What is the smallest value in b, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a49 (base 12) to base 5.\nAnswer: -203211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc (base 13) to base 8.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -231\/20, -3, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:19 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113121469?\nAnswer: 37, 191, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -110*a + 3617. Let s be h(33). Let w = 3 - 5. What is the nearest to 2 in s, w, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqlqqqccjcl. Give prob of sequence jq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-2)\/28)\/(192\/(-84))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*x + 389, 5*f - 313*x + 316*x - 1963 = 0. Calculate the highest common divisor of f and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179719\/264 + -7420\/11. Calculate the common denominator of i and 53\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315200201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1))**49*(((o*o**(-1\/3))\/o*o)\/o*o)**(-2\/19)*(o**(-2\/7)\/o)**(-42)\/(o**1)**41 assuming o is positive.\nAnswer: o**(6323\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 4*b = 8*n + 1149988, -4*n + 4*b + 2299988 = 0. Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.8099 rounded to one dp?\nAnswer: 205.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-11.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2224)\/(-40) - 6\/(-15). Let o be ((-474)\/(-4))\/(4\/m + 0). Suppose l - o = -6*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003075198 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -239*m + 237*m + 11, 2*m + 2*u - 6 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(6 - 8 - 16) + -1 + 7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110556\/4662 + (-24)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34691 and 545564.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(1 - 1 + k**2)*(299 + 0*k**3 - 284 - 4*k**3).\nAnswer: 8*k**5 - 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or -87\/4?\nAnswer: -87\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62904 is divided by 62903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -284\/5 + 57. Suppose 2*n = 3*n + p, 5*p - 20 = 5*n. What is the smallest value in n, 3, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 69. Let q(w) = -9*w + 13 - 4 + 11*w - 10*w**h + w**2 - w**3. Calculate q(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 414, 398, 382, 366, 350, 334?\n\"Answer: -16*w + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6 + 0 = 3*b, 2*g = 2*b - 12. Suppose 3*x + 0*x = 0. Let w(k) = k**3 - k**2 + k + 4. Let i be w(0). Solve -f + b - i = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 19 + 0\/(-4). Suppose 5*p = 43 - m. What is the third derivative of p*l**4 - 3*l**2 + 6*l**4 - 6*l**4 - 5*l**2 wrt l?\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1345, -1324, -1293, -1246, -1177, -1080?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6 + 2 - 5*h + 2 + 7*h. Suppose 3*t = 2*p - 4 - 2, 6 = 2*p - 4*t. Calculate the remainder when z(p) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 - 3*h**3 - 6*h**2 + 4*h\/3 + 8.\nAnswer: -(h - 1)*(h + 2)**2*(h + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f + 2*f - 4*f - f - 2. Determine h(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a factor of 39278325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h + 5*n + 16, 4*n - 24 = 3*h. Let l be 14*2\/(-6)*(-12)\/h. Let y be ((-2)\/(-21))\/(3\/l). What is the third biggest value in -5, -2\/5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7779, 16174, 24567, 32958, 41347, 49734, 58119?\nAnswer: 66502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116686 + -116685.98. Let d = -0.38 + 0.08. What is the closest to d in -0.1, 1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12221100011 (base 3) to base 5\nAnswer: 12220022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 69, 90, 91, 54, -39, -206, -465?\nAnswer: -834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1584) + 2*sqrt(1584) + 5)**2.\nAnswer: 576*sqrt(11) + 14320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 0*f**3 + 2*f**2 - 1 - 2*f**3 + 0. Let q be c(-1). Let d(x) = 4*x - 2*x + 2 - q. Calculate d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*t**5 - 109*t**5 - 319*t + 0*t**2 - 2*t**2 wrt t.\nAnswer: 9840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-2))\/((7\/4)\/((-1393)\/398))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 7 = 14*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/(m\/(m**(-1\/9)*m)))\/(m**(-2))**(2\/9) assuming m is positive.\nAnswer: m**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 172\/(-16) + (-6)\/(-8). Let z = 309 + -207. Let f = z - i. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 + 38 = 3*a, -5*a + 50 = 5*o. Solve -4*b + o = -0*k + 4*k, b + 22 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 420, 437, 454, 471?\n\"Answer: 17*q + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 7:17 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 5*z. Suppose 0*y = -4*y + 28. Suppose 0*b - y*b + 140 = z. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.172 + 0.272. Which is the third biggest value? (a) l (b) -3 (c) 1\/4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185321208 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from uqxxscyyxcc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 + 10*y\/7 - 100\/7.\nAnswer: 2*(y - 5)*(y + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -12. Suppose -h*s - 450000 = s. What is s rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -317*g + 421*g - 1352 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 206.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 3*z. Let t(b) = -b**3 - b**2 + 10*b + 30. Let s(d) = 6*a(d) - t(d). Let c be s(5). Let w = 0.2 - 0.2. Sort c, 2, w in descending order.\nAnswer: c, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 702 - 2105\/3. What is the nearest to 0.1 in 0.05, -5, 7, g?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-18)\/(-10))\/((-1)\/20*12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*g - 13, 6*g = 3*k + g - 42. Solve -u - 8 = 3*f, -2*u - k + 8 = f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 205635, 206937, 208241, 209547, 210855?\n\"Answer: k**2 + 1299*k + 204335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0 (b) 0.2 (c) 2 (d) -109194\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10299, 10301, 10303, 10305?\nAnswer: 10307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**6\/120 - 2*k**5\/15 + k**4\/12 - 5*k**3\/6 - 4*k**2. What are the prime factors of f(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3532*i**2 + 38710*i - 1576. Give y(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/(-1)*75\/(-50). Suppose -4*t + 2143 = p*h - 2817, 0 = h + 2. What are the prime factors of t?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207075894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 16 = -5*r. Let v be 1\/((-56)\/8 + 6)*0. Solve v = 3*x + 4*h + 9, x + r = 3*h - 6*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 94*t - 14 - 3.\nAnswer: -94*t - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1162, 3081, 6280, 10759, 16518?\nAnswer: 23557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205254219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n + 164. Let u be z(-21). Suppose 5*y + 19 = -21. What is the tens digit of u*(-57)\/y*(-30)\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - (-6)\/(-4)) + 4)\/(2\/36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04683 + 68714605461.\nAnswer: 68714605461.04683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1085 + -1080. Solve -w*f - 79 = -59 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3202 or 3273?\nAnswer: 3273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 - 6*q + 35. Is m(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = -16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-22 + -2 + 11)) + -32 + 16 + 51\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 10:24 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/164 and -137\/24.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/(-99))\/((-4)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-108)\/(-864))\/(2\/32). Solve c*r - 4 = p - 0, 4 = -p + r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 4 = -6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(11\/4 + (-9802)\/3480).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {y: 1, f: 1, a: 1, w: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 5:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -26. Let v(f) = -f + 15. Calculate v(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224300?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0165 and 338.17?\nAnswer: 338.1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*u - 32. Which is the second smallest value? (a) u (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22188\/7 + 3159. Let p = 396\/35 + w. Which is the nearest to -1? (a) 0.4 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81309 + 119499. Is l a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1335*g - 1. Let c(m) = -32*m + 55. Let i(f) = -3*f + 5. Let j(l) = -2*c(l) + 22*i(l). What is j(h(x))?\nAnswer: 2670*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*x - 6, 2*r - 5*r = 5*x - 6. Suppose 3*f + 4390 = -r*f. Is 1 + (1 + -3 - f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 28*v**2 + 1. Let z be u(-28). Let i(x) = 1 + 0*x + 2*x + 0 - 2. What is i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1771.\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182163*v**2 - 90906*v**2 - 90336*v**2.\nAnswer: 921*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 - 10*a + 5. Let o be b(-5). Let g be (0 - 0) + -1 + o. Let h = -37 - -40. Put g, h, -8 in descending order.\nAnswer: g, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**3*x + 5390*q**3 - 2*q**2 + q*x - 5035*x + 2 wrt q.\nAnswer: 18*x + 32340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (620*o**2 - o + 0*o - 557*o**2 + (-21*o + 6*o - 7*o)*(-1 - 3*o + 1))*(1 - 1 + o**3).\nAnswer: 129*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000077553321 rounded to six dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 4:10 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13146981865\/6325 - 4) + -3. Let a = l - 2078567. Let i = a + -2\/253. Sort -1, i, 3\/2.\nAnswer: -1, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -216 - -28011?\nAnswer: 278a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1273 + 2509. Is 3*(-1 - w\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100*82\/(-518650))\/((-4)\/(-66)).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -564*u**2 + 529*u - 9. Let d(r) = 376*r**2 - 331*r + 6. Calculate 8*d(f) + 5*q(f).\nAnswer: 188*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*b**5*r - b**4*r - 145*b**2*r - 2*b**2 wrt b?\nAnswer: 7320*b**2*r - 24*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 281356\/15 = 18758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (270876\/26 - -2)\/((-5)\/(-1)). Let j = 2084 - q. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-8)\/(-2))\/(-18 - -16). Let t(s) be the second derivative of s**4\/12 - s**3\/2 - s**2 + 2*s. What is the units digit of t(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94744*x - 24*x**2 - 6*x**2 - 94744*x.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -179*u**4 - 202?\nAnswer: -716*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -131*q**3 - 14*q**2 + 11*q - 11. Let v(l) = 44*l**3 + 5*l**2 - 4*l + 4. Let x be 47\/(-11) + 660\/(-1650)*15\/(-22). Give x*z(g) - 11*v(g).\nAnswer: 40*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1023*p**4 - 93432\/5*p + 263151\/5*p**3 + 5*p**5 + 30845*p**2 + 10404\/5 = 0.\nAnswer: -102, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -104*z**3 - 3*z**2 + 3*z. Let k(t) = -520*t**3 - 14*t**2 + 14*t. What is -3*k(y) + 14*r(y)?\nAnswer: 104*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*x + 65, 0*n - 5*n - 25 = 0. Let f = x - 2. Let b be 2\/f + (-168)\/(-77). Solve 5*w - b*w = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkkkaakkk. Give prob of sequence ka.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.37 + 1.17. Which is the smallest value? (a) 5 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 6:56 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t**3 + 2*t - 2. Let q = -5 + 8. Let f(i) = 5*i**3 + 3*i - 3. Calculate q*a(j) - 2*f(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1373 = -5*a + 1346, 0 = -2*b + 4*a + 2656. Which is smaller: 1341 or b?\nAnswer: 1341","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 418 and 0.6.\nAnswer: 418.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.39 (b) -9 (c) -2\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140363549.80396507 - 140363549. Let s = z + -0.00396694. Let q = 0.8 - s. Round q to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 528443359*d**3 - 1283*d**2 + 534*d + 34 wrt d.\nAnswer: 3170660154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -21) + -11 + 11 + -1. Let a(z) = z**3 - 17*z**2 + z**3 - z**3 + 16*z + 2. Let u be a(l). What is the nearest to 5 in u, -1\/2, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2 or 32162?\nAnswer: 32162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x\/x**36)\/x)\/x)*x*x*x**(-4))\/(x**28*x\/(x**(-1\/7)*x)*x))**(4\/13) assuming x is positive.\nAnswer: x**(164\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:40 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -3.44, 722.2, -2\/11, 3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w**4 - 634662*w**2 + 11504*w + 11 wrt w.\nAnswer: 192*w**2 - 1269324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -18 (c) -1\/5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**5\/26 + a**4\/39 - 39*a + 2. Suppose x(h) = 0. What is h?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q**(-14)\/q)))\/q*(q\/(q**(-4\/15)\/q))\/q*(q\/(q**(-1\/9)*q))**10 assuming q is positive.\nAnswer: q**(-568\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*w + 5*l - 77, -4*w + 91 = -5*l. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -255*o + 1130 + 926 + 4064 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**4 + 5*q**3 - 4138*q**2 + 16544155*q wrt q?\nAnswer: 48*q**2 + 30*q - 8276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*2*(-2)\/10. Let n(v) = -3331*v**3 + 3339*v**2 - v. Let o be n(1). Solve -q = -3*w + 11, -2 - o = q - a*w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -36 (b) -29 (c) 24 (d) 0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.881 minus 7041032?\nAnswer: -7041030.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.025205 - -2.405105. Let z = 2.37 - c. What is z rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**3 + 0*k**3)*(k**2 - 3*k**2 + 0*k**2) - 177*k**5 - 720*k**3 + 198*k**3 + 523*k**3.\nAnswer: -183*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 53*y**2 + y. Suppose -2 = 7*a + 5. Calculate the remainder when z(a) is divided by ((31 - -2)\/(-3))\/(-3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + i + 6, 2*i + 0*i + 2 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, -17356, 0 in descending order.\nAnswer: 15, 5, 0, -17356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -74197071 * 0.4\nAnswer: -29678828.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18 + 3)*(9\/(-15))\/((-360)\/400). Calculate the highest common divisor of 4438 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 16*l**4 + 51*l**2\/2 + 53. What is the second derivative of t(h) wrt h?\nAnswer: 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9456854 millennia?\nAnswer: 11348.2248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Suppose o = -o - 4*g + 20, c*o = -3*g + 20. Suppose 10 + o = 3*p. Let m(w) = -w**3 + 3*w**2 + 2*w + 1. What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 133*d**2 - 406*d**2 - 239*d**2. Let b(c) = 3*c**2. Calculate q(b(g)).\nAnswer: -4608*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 55 - (-14 + -28).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from uuzzzuzz?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4314 by 40.\nAnswer: 2157\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - -3 - (-8 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 27802*z - 27805*z - 22, 0 = -3*v - 3*z - 42 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-1485)*30*63\/182.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((-288)\/8)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2209*a**4 - 4*a**3 + 3*a**2 + 4*a - 381 wrt a.\nAnswer: 53016*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.8379ug in nanograms?\nAnswer: 52837.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2.6, -5, 1, 61 in decreasing order.\nAnswer: 61, 1, -0.2, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34329\/14 + 2450. Let i be ((-109616)\/24892 - -5)\/(4\/14). Let f = k + i. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.143 (b) 4 (c) -2\/21 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 8276*l - 8561522.\nAnswer: -2*(l - 2069)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52757757 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -9\/8, -15, 2, -2\/7, 18, 9, 3?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/8*118 + 8\/32. Suppose 13*m - 50 = a. Suppose -2*y + 212 = -x, -y + m*x + 176 - 52 = 0. What is the greatest common divisor of y and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 69. Calculate the greatest common factor of b and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x, -119 = -2*n - 5*x + 66. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5370, -21483, -48336, -85929, -134262, -193335?\nAnswer: -263148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-34 - (-29 + -10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1764)\/(-27))\/((-7945)\/3405)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-15) - 529142\/(-107440).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s + x - 463, 0 = -4*s - 4*x + 380. Calculate the lowest common multiple of 263\/11 + 219\/2409 and s.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = -20. Let m(j) = -j**2 + 9*j - 15. Let o be m(6). Solve r + y = -o*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 + 65\/15. Let w(v) be the first derivative of 1\/9*v**2 - 2 + 0*v - 1\/6*v**t + 4\/27*v**3. Factor w(p).\nAnswer: -2*p*(p - 1)*(3*p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13450)\/(-272) + (-45 - -40). Let b = s + -357\/8. Calculate the common denominator of -85\/2 and b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*p + 68 = 73*p. Suppose 0 = -2*h - 2*c + 378, -626 - 301 = -5*h + p*c. Calculate the greatest common divisor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43943 - -44043. What is the greatest common divisor of l and 3725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b**2 + 2 - 2)*(-47 + 13 - 9) to the form n*b**2 + f + d*b and give n.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**3 - 102988*z**2 - 34320*z + 68656 = 0. Calculate z.\nAnswer: -8582, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4194231192 divided by 4.\nAnswer: 1048557798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -130*m - 1031. Determine w(-6).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -46\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10172256.\nAnswer: 2, 3, 17, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.74 times 1524.1?\nAnswer: 4176.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y**2 + 5*y - 4. Let g(v) = 10*v**2 - 4*v + 3. Let q(n) = 5*d(n) + 6*g(n). Let f be q(-5). Calculate the greatest common factor of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*f + 6, 2*c + 13 = -5*f - 0*c. Sort 4, 5, f.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2)*(-4*q**2 + 8*q**2 + 4*q**2) + (q - q + 2*q)*(3*q**2 + 2*q**2 - 7*q**2).\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.021, 6, 1, 4, -0.13 in descending order.\nAnswer: 6, 4, 1, 0.4, -0.021, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 + -2 - (-3 - -11))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - (241290\/(-5))\/7) + 2.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3647141 or 3647158?\nAnswer: 3647141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = y + k, -15 = 3*y - 0*y + 2*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 6. Let k be (0 - p)*15\/3. Solve -24 = k*g - 4*u, 2*g + g - 2*u + 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18474 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 + -18 - (-7)\/(-7) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 40 + 0 - (1564 - 1551).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3)*o)**21*((o**(-16)\/o)\/o)\/o**(-2\/7) assuming o is positive.\nAnswer: o**(611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*y + 198 + 50 = 0, -4*y = -3*u + 386. Suppose 56 = 2*l + 2*l. What is the greatest common divisor of u and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) + sqrt(114)*-2*3)*-3)\/(sqrt(36)\/sqrt(6)*6 - -2*sqrt(726)) + -2.\nAnswer: -2 + 45*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aarrwarwaaaraarrax. Give prob of picking 2 w.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*t - 9 = 0, 0 = c + 5*t - 6*t + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 i, and 1 h when three letters picked without replacement from nxxxvhhvuhihvhv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 - i**2 - 6*i + 6. Let j(q) = -q**3 + q - 1. Let p be 0*(0\/1 - -1). Suppose 2*z - 4 + 16 = p. What is z*j(a) - h(a)?\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3440?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h - 3. Let b be o(-1). Let m(q) = -b*q - 11*q - 4*q - q. Let w(r) = -r**2. Determine w(m(p)).\nAnswer: -784*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*v**4\/7 - 57*v**3\/7 - 105*v**2 + 4917*v\/7 + 3267 = 0. What is v?\nAnswer: -9, -7\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 4*m**2 - m + 2*m + m. Let i(u) be the second derivative of -3*u**4\/4 + u**3 - u**2\/2 - 34*u. Give -2*i(f) + 5*q(f).\nAnswer: -2*f**2 + 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 31, 71, 127?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 349*s**2 - s + 2. Let f(u) = u**3 + 3*u**2 - 12*u - 9. Let i be f(-5). List the prime factors of y(i).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 5*u)*(2 - 2 + u) + (7537 + 82*u - 7537)*(-4*u + 4*u - 2*u).\nAnswer: -163*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 256189 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 5*c - 27 = 0, -5*h - 2*c = -10*h + 18. Solve h*s - 2*x - x + 10 = 0, -4*s + 6 = 5*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1357a5 (base 11) in base 10?\nAnswer: 212591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -96*h + 4. Does 8 divide q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 31 = -21140*y + 21143*y, -3*b + 3 = -y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 49*a - 1. Let n(v) = v. Calculate l(x) + 5*n(x).\nAnswer: 54*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3683, -5383, -9997, -18983, -33799, -55903?\n\"Answer: -243*g**3 + g**2 - 2*g - 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) - 46\/8. Let d(x) = -x - 2. Let j be d(u). Let r be (-2)\/j + (-1)\/2. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:17 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573752 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 112216963 to the power of 1\/2, to the nearest integer?\nAnswer: 10593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 374934463 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 324, 759, 1306, 1965, 2736?\nAnswer: 3619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 514078718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/5)\/i)**(-35))**(-22\/9)*(i**0)**(-2\/5)*i**(2\/17)*i*i*i\/(i*i\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-17435\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70519 is divided by 215?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -443980\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-1956)\/218) + -10. Let d(l) = l**3 + l**2 + l. Let w be d(0). Is r less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20501 is divided by 2677.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88634681 to the nearest integer?\nAnswer: 9415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/7 + 100*r**2\/7 - 2356*r\/7 = 0.\nAnswer: 0, 38, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + 25*v + 21*v + 28*v - 94*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13899600 and 8736?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/2 + 26470*l**4 - 700660881*l**3\/2 - 502915*l**2 + 6655484450*l + 10509913500 = 0. Calculate l.\nAnswer: -3, -2, 5, 26470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -2, -5, -10?\n\"Answer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.083 - 0.247. Is -2\/5 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -35 + 11*f + 14 + 23*f**2 - 46*f**2 + 24*f**2. Let g be q(-13). Solve -g*u = -u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-12 + 8 + -8 + 44).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8 - (-714)\/(-56). Does 11 divide 8\/g - (-101)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 + 3*v - 16. Let z be l(7). Suppose d - z = 70. Let o = d + -69. What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -16. What is the tens digit of (-2*j*1)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a centimeter in millimeters?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1986047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9846632 to 2 decimal places.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 3*w**2 + 2*w + 12. Give r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 14. Let k be u(6). Let i be (-10)\/(-4)*32\/k. What is the common denominator of i - ((-1464)\/20)\/(-6) and 71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -11*b + 5*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 55\/(-10)*(-4 + 2)*1. Suppose -12 = l - 4*l. Solve -b + 5*p - z + 0 = 0, 5*b - 32 = -l*p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(93\/31)*(-36)\/116?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 - -478. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 13.9. Let p = 0.9 - g. Let l = 469.1 + -465.1. What is the smallest value in p, -3\/8, l, 1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 + 9*h + 0*h + 15 - 2*h.\nAnswer: 7*h - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpk when three letters picked without replacement from {g: 6, k: 11, p: 1}?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(4032)*3)\/((sqrt(396) - sqrt(44))\/sqrt(11)) - (-4 + (2*(sqrt(21) - -5*sqrt(21)) + sqrt(21))\/sqrt(3)))**2.\nAnswer: 40*sqrt(7) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2 - g**2 + 14*g - 8*g + 5*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117.5 millilitres in litres?\nAnswer: 2.1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/61 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:46 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + ((sqrt(1539) - -2*sqrt(1539)) + 2)*-1 + -1 + -3))**2.\nAnswer: 162*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 414 and (-8816)\/(-95) + 12\/(-15)*(-2)\/8.\nAnswer: 12834","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 + 6 = -3*n, 4*h + n = 2. Let y = -1.65 + -0.15. Let i = -5.8 - y. Which is the nearest to h? (a) i (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.97385076 to 1 decimal place.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 + (-7584)\/448 - (-1 + 2). Sort w, 0.03, -0.14 in increasing order.\nAnswer: -0.14, 0.03, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -15. Suppose -2*h + h + w*f = -12, -2*h - 5*f = -9. Calculate the highest common divisor of h and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 - w - 1. Let u be o(2). Let q = 9 - u. Factor 0 - 2\/3*d**2 - 4\/3*d**4 + 2*d**3 + q*d.\nAnswer: -2*d**2*(d - 1)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raagogaaagoor. Give prob of sequence rag.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1))**41*l**(-6)\/(l**(-6)\/l)*(l*l**4*l*l*l\/(l**(-4)*l))\/((l*l*l*l**2*l)\/((l\/l**(-4))\/l*l)) assuming l is positive.\nAnswer: l**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 338653453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 25*x**3 + 9*x**2 - x + 25. Let a(q) = -13*q**3 - 5*q**2 - 13. Give 5*a(s) + 3*d(s).\nAnswer: 10*s**3 + 2*s**2 - 3*s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -29*i. Let f(m) = 10*m**2. Calculate f(y(w)).\nAnswer: 8410*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 43*b**3 - 5*b**2 - 1. Is y(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13604 and 357124.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10337 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 5. Let z be q(-5). Let s be 4 + (z - (4 + -1)). Let p(a) = 15*a**2 - 1. What is the remainder when 53 is divided by p(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110100 (base 2) to base 13\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.9, -3, -35, 0 in decreasing order.\nAnswer: 0, -3, -5.9, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-15)*9\/(-45))\/(5\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z + 23. Suppose 7*r + 8 = -34. Let l be a(r). Let p = 4 + 0. Solve -l*f - 4 = -u + 6, 4*u - 16 = -p*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 319 - 99. Solve -3 - 7 - y*c**2 - 10*c - 2 + 222*c**2 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - -1*(sqrt(198) + (sqrt(198) - (sqrt(198)*-1 - sqrt(198)))))\/(-1*sqrt(144)))\/(-5*(-3*sqrt(11)*1 - sqrt(11) - sqrt(11) - 1*sqrt(539))).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 at least 765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -58*v + 53*v, 0 = -5*n + 4*v + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*p + 200*p - 2*p + 114*p to s + d*p and give d.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 68820 and 0.1.\nAnswer: 68820.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258*y**2 + 50*y - 178028 with respect to y.\nAnswer: -516*y + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5*437\/23)\/(40*16\/768)\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.8, -6\/17, 5, -16?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1469932 is divided by 113069?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1068*u**3 - 1445*u**3 + 7 - 9)*(4 - 2 - 4).\nAnswer: 5026*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 111*u**2 + 6432*u + 17982. What is r(-55)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**3 + 19*m + 17. Determine b(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1906362 and 430.\nAnswer: 9531810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:45 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 - h + 7. Let d(b) = b**3 - 7*b**2 + b. Let u be d(7). Let y be z(u). Let l be 0 + -3 + 0 + y. Let i(q) = q. What is i(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41823173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-882)*9)\/((-2)\/16)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -49347.328 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 47348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -838 - -849. Calculate the highest common divisor of b and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36786.\nAnswer: 2, 3, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12362?\nAnswer: 2, 7, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270134 and 124.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 581447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (6 - 10 - (-1 + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1 - (-775 + 805)*(0 - -1)*-898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.125 + 4.125. Let p(y) = -2*y - 7. Let w be p(-8). Let u = w - 12. Which is the closest to 1? (a) u (b) -0.2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -258, -1021, -2298, -4089, -6394?\nAnswer: -9213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3015636 rounded to the nearest 1000?\nAnswer: -3016000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/49)\/((-4)\/5404). Is 54 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 399\/14 - 1\/(-2). Which is smaller: b or 30?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 3*s - 2*s)*(1608 + 2954 + 1764) + s + 5*s - 4*s + (2 - 1 + 0)*(-2 + 2*s + 2) - 2*s + 3*s + 0*s to h + g*s and give g.\nAnswer: 6331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5*-9*35\/35\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -745010, -745008, -745006, -745004?\n\"Answer: 2*m - 745012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58258, 58257, 58256?\nAnswer: 58255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4583 + 4560. Sort 4, -6, k, 1.\nAnswer: k, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 13924*y**3\/3 + 731*y**2 - y - 12559. Find the second derivative of b(k) wrt k.\nAnswer: 27848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.8 * -0.007.\nAnswer: 0.0756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1338279\/308 - -30413\/7. What is the common denominator of v and 13\/176?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3705282, -14821173, -33347658, -59284737, -92632410, -133390677?\nAnswer: -181559538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-26)\/(-6)). Let g = -0.52 - 0.08. Let n = -1.6 - g. Put -5, y, n in descending order.\nAnswer: y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21153, -45369, -69595, -93837, -118101?\nAnswer: -142393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 4, 908, -3 in decreasing order.\nAnswer: 908, 4, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 148097.8 milligrams?\nAnswer: 0.1480978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 25\/6. Let q = -0.141129 + 0.441129. Put q, 0.07, h, 1\/3 in ascending order.\nAnswer: 0.07, h, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.2, -7, 70?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355976 = -5*s + 4*o - 355982, -3*s + 4*o - 10 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {n: 6, d: 2, w: 2, x: 1, z: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*v - 155*v = -42384. Suppose 3*d + 2*c = v, -d + 0*c - 5*c = -4705. Round d to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 4*z + 2*j = 16, j - 14 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -129\/11?\nAnswer: -129\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/(-3)*((-184)\/40 - -5). Suppose -q + 1 = -4*h - 4, 5*h + u = 4*q. Solve -5*v - f + 5 + 4 = 0, 21 = v + q*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -8. Let x = m + 10. Let i = 102 + -58. Calculate the greatest common factor of x and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195 and 255?\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1b (base 12) to base 6.\nAnswer: -10435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 544960*d**4 + 18609775672*d**3 - 3299601464640*d**2 + 146640426192324*d = 0. What is d?\nAnswer: 0, 89, 68031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwuwwwwwwwuwuwuwuw. What is prob of sequence wu?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6)*(18 + 8 - 27). Put t, -4, -20 in descending order.\nAnswer: t, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 24*d + 546693 = -10095. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15042 (b) 0.28 (c) 2\/3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1665444 equal to -1665426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(704) + sqrt(704) + sqrt(704) + 5) + 2*(sqrt(121) - (sqrt(121) - (sqrt(121) + (sqrt(121) - -2*sqrt(121))*-4 + sqrt(121))))\/sqrt(11))**2.\nAnswer: 5000*sqrt(11) + 110625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46214 is divided by 157?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76428, -76471, -76540, -76635?\nAnswer: -76756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11763933 - 11763933.12599279. Let z = 87 - 86.874. Let k = l + z. What is k rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6751 (base 13) in base 15?\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -44 + (2 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2. Let q be m(-2). Let n(c) = -c**2 - 3*c**2 + 1 + 9*c - 5*c - 2*c. Let d be n(-1). Is q less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434 = -187*m + 1997 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/10870546 and -113\/6.\nAnswer: 32611638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*q - q - 19, q - 5 = 0. Suppose -1443 = -4*x + u, 0 = 2*x + j*x + 5*u - 1425. Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13020657 and 2874?\nAnswer: 1437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07534 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*m + 33 + 35, 5*n = 15. Suppose -m*f + 34*f + 12 = 0. Which is smaller: f or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 + (-5 - -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14667245 to the power of 1\/2, to the nearest integer?\nAnswer: 3830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 17. Suppose 0 = 2*b + m - 9. Suppose 0 = -2*l + 4 + b. Solve 15 = l*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.4.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + -4 - sqrt(12)\/sqrt(54).\nAnswer: -4 + 11*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -9. Is (-477)\/t + (-1)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 113, 109, 91, 53, -11, -107, -241?\n\"Answer: -b**3 - b**2 + 6*b + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 65\/(-15))\/((-96)\/(-16)). Which is the fourth smallest value? (a) -4 (b) -0.5 (c) -3 (d) 1\/7 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 132 = -5*g, -20*i + 22 = -g + 6*i - 22*i - 6*i for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 5*m + 1. Let v be o(5). Let i = v + 2. Suppose n + 3*n + y + 25 = 0, -n = -3*y + i. Let a(p) = 2*p - 4. Let d(j) = 1. Calculate n*d(z) - a(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177 - -192. What is the nearest to d in 3, -1\/7, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19811 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 0.05. Let t = n - -0.39. Let z = -6 - -1. What is the second smallest value in 0, z, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 - 11) + 6 - 0) + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 250 (base 8) to base 9\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10877417?\nAnswer: 59, 263, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54388*w**2 - 2*w - 9257348 wrt w?\nAnswer: 108776*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.508 + -1.092. Round u to the nearest integer.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60059 (base 12) to base 6\nAnswer: 2400153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -983 = -5*a - q, 3*a + 404 = 5*a + 4*q. Let v = a + -160. Let m(p) = p**2. Let d be m(2). What is the highest common factor of d and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -407*(-498)\/3071 - ((-3 - -3) + (-2 - -13))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, -167845 in decreasing order.\nAnswer: -1, -5, -7, -167845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -538022 and -0.164.\nAnswer: -538022.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0192669.\nAnswer: -0.00192669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17184 is divided by 2864.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 + 0 + 1760\/(-128). Let d(b) be the second derivative of 0*b**3 - 5\/24*b**4 - 1\/42*b**7 - 25*b - o*b**5 - 1\/8*b**6 + 0 + 1\/8*b**2. Factor d(y).\nAnswer: -(y + 1)**4*(4*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-4\/11)*z*z*z\/(z**(-7)\/z)*z*z*z*z*z**(-4\/5)*z*((z*z\/(z\/(z\/((z\/(z\/z**8)*z)\/z)))*z)\/(z*z\/(z\/z**(-1))))**(-1\/2) assuming z is positive.\nAnswer: z**(1907\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106172 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438379*m**3 + 124478*m**3 - 421195*m**3.\nAnswer: -735096*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44113 and 74741?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 791 rounded to the nearest ten?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 = 3*v. Let m(g) = g**3 - 3*g**2 - 3*g - 4. Let p be m(4). Suppose 5*x + 4*h + 3 - 31 = 0, p = v*x - 4*h - 4. Solve -f - x*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**4 - 24*w + w**2 + 4*w**5 + 25*w**2 + 4*w**2 - 10*w**2 + 20*w**3 = 0. Calculate w.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9267525*c**3 + 139*c**2 - 28257 wrt c?\nAnswer: 55605150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 - 619\/4. Sort -4\/5, -0.4, a, -4.\nAnswer: -4, -4\/5, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509, -1007, -1505?\nAnswer: -2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2112.1 and -7.\nAnswer: -2119.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {t: 1, n: 12, y: 1, m: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 1. Let u be o(3). Let h be ((-40)\/12)\/((-2)\/(-6)). Let y = -9 - h. Put y, u, -3 in descending order.\nAnswer: y, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/32, -0.6, 35, 0, -0.4, -2\/3.\nAnswer: -2\/3, -0.6, -0.4, -3\/32, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 + 5*v + 2. Let a be q(5). Suppose -2*m = -3*m + 6. Let w be 2 + 10\/25*(-2 + 7). Solve b = -a*y - w, -12 = b - m*b - 2*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195.253 + -141.3. Let j = -54 + w. Let s = j - -5.147. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(875)*-3)*1)\/((sqrt(360)*1)\/sqrt(8)).\nAnswer: -14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4345 - 2132345?\nAnswer: -2124000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/11 + 20*g**4\/11 + 16*g**3\/11 - 20*g**2\/11 - 18*g\/11 = 0?\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 - -41. Let m(u) = -u**2 + 3*u + 4. Let q be m(4). Solve -5*v - 23 + p = q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/140 + 11*f**6\/480 - f**5\/60 - f**4\/96 + f**2 + 6. Suppose l(o) = 0. Calculate o.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + 9 - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 81, 93, 105?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 84842?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.63 and 1.\nAnswer: -6.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17790, -17787, -17780, -17769, -17754, -17735?\nAnswer: -17712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46550000 rounded to the nearest 1000000?\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19720*a**3 + 438*a**2 - a - 4?\nAnswer: 118320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xffzxfffff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83 by -1324.\nAnswer: 83\/1324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-35)*(-2)\/3*10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 4*r - 2*r**3)*(3 + 2 - 4) + 8*r**3 - 9*r**3 + 9*r**3 - 7*r**3 + 19*r**3 - 9*r**3 in the form m + z*r**2 + x*r + b*r**3 and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvx. What is prob of picking 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -922545*h + 25650. Let z(j) = -863*j + 24. Calculate -4*s(v) + 4275*z(v).\nAnswer: 855*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -37*d - 592. Let y be k(-16). Suppose 4*q + 2 = -6. Put y, q, -6, 1 in descending order.\nAnswer: 1, y, q, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q + 3. Let l be g(-2). Suppose 3*a - 9*a + 168 = 0. Suppose -4*s - a = -c, -c + s = -2*s - 25. Solve l*z = c + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 22 + 11 = -5*x, 5*x = 4*h + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9815 - -166857\/17. Which is the third smallest value? (a) -3 (b) -5 (c) -0.4 (d) -5\/6 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054 a factor of 119354590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 27, -17.\nAnswer: -17, -4, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 340580*i - 21096740 = 0.\nAnswer: 62, 68054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 2*r - r)*(8*r - 8*r + 5*r**2) + (4*r**2 - 4*r**2 + 2*r**2)*(5*r - 4*r - 2*r) + r**3 - r + r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**2 + v**6 + 4*v**6 - 7*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-423)\/47*(-6)\/(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/966 and -40\/253.\nAnswer: 10626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -479*h - 73146. What is o(-151)?\nAnswer: -817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2135782 (base 11) to base 2.\nAnswer: 1110010100111010101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from yylynyilviynlyly?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 181522, 360312, 539104, 717898?\n\"Answer: j**2 + 178787*j + 2734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243980163?\nAnswer: 5437, 228799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose 3*h = -v*h + 15. Suppose -h*k + 0*k = -100. Calculate the highest common divisor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 99, 9, 8, -3, 1 in descending order.\nAnswer: 99, 9, 8, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*u = -3*o - 16, 4*o = -2*u - 56. Is 5 a factor of (-24)\/(4 + 57\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:05 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*x - 7*x. Suppose 2*d - 3*m = 13186, -12197 = -x*d + 2*m + 20790. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.002 + -0.002. Let a be 23\/(-5) + (-2)\/5. Put a, -1\/5, s in decreasing order.\nAnswer: s, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0576981227 and -0.1.\nAnswer: -0.1576981227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 - 193. Let p = -57 - h. Suppose y = 2*y - p. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/7)\/((2\/(-21))\/((-10)\/(-30)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**5\/20 - 7*x**4\/12 + 4*x**3\/3 - x. Let n = 149 + -143. Let g be c(n). Solve -3*a - g = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - y. Let g be (-18)\/45*(-10 + -4 + 4). Determine x(g).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 0.31. What is the closest to -2 in l, 2\/3, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 5:28 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 80*p**2 + 19*p - 9292. What is the tens digit of m(88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418163564?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.53 + -0.5. Let w = m - -1.97. Let i(y) = y - 3. Let g be i(0). What is the second biggest value in g, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1130, -2266, -3404, -4544?\n\"Answer: -t**2 - 1133*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -6, 4.\nAnswer: -27, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(5 - (-3)\/(-2) - 4). Suppose u + 4*j = -2*u + 21, f = -3*u - 3*j + 18. Solve -9 = -u*k - 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10159513649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 123325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1150 by -50.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from aoaoamam?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-1 - 0 - 41) + 0) - (-3626 + 3633)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.3 + 8.7. Let n = -118610 - -118648.9958. Let l = z - n. Round l to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtxxthtrtxhxqxhx. Give prob of sequence xh.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/768 and 181\/514560.\nAnswer: 514560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 784 + -3921\/5. Suppose 5*y - 2*x + 10 = -0*x, -3*x + 15 = 4*y. Let c be (y - -2) + 6*-1. What is the closest to 0 in 2\/5, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4) + -3)*-2. Suppose 0 = 2*o - 2*a + l*a - 20, a = o - 20. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 9*p**2 + 6*p.\nAnswer: 3*p*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7726 + -4?\nAnswer: 7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2650.1191 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(7\/(-98))\/(2\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10094 is divided by 5023.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -31, -48, -85, -148?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + c + 59 = 0, r - 2*c = -2*r - 25. Let q = r + 23. Let g = -17 + 29. What is the greatest common factor of g and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -9. Suppose 3*t = -a + 1 + 14, r*t + 3*a = 25. Suppose 6 + 9 = 3*n, -t*x + 3*n = -45. Solve 5*y + 5*b = x, 2*y + 3*y - 3 = -2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.284 times -32004?\nAnswer: 9089.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3955492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/25)*t*t*t*t\/(t**(-7\/2)\/t)*t\/((t**8\/t)\/t*t)*t**(-7))**(-36) assuming t is positive.\nAnswer: t**(3078\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -99*r + 17*r + 45*r + 89. Calculate the remainder when g(-6) is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 416096 and 127392?\nAnswer: 1656478176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10514 - 2?\nAnswer: -10516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 + -42 + (-4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t = 65*t - w + 9, -3*t + 21 = -w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/23 (c) -3\/7 (d) -0.5 (e) -1680\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 601559027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 7. Let g be t(-5). Let j = 32 - 16. Suppose g*u = j + 4. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 27*k**2 - 58*k - 4. Calculate v(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -38 and -55.2533?\nAnswer: 17.2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -19. Suppose -g - 4 = -0*g, -y = -5*l - 5*g. Is 3 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12421 (base 5) to base 6\nAnswer: 4322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 2*q. Suppose -28 = -3*u + 5*w, 20 = 2*u - q*w - 4*w. What is the smallest common multiple of 2 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -16*d**2 - 12*d - 8. Let y(g) = g**2 + g + 1. Suppose 8*t = r + 6*t - 11, -21 = 4*r + 5*t. What is r*q(w) + 12*y(w)?\nAnswer: -4*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -246.027 - -0.027. Let i = -245.82 - b. Are -1\/3 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55.1 + -55. Put 0.11, y, -0.2 in descending order.\nAnswer: 0.11, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201312 is divided by 368.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o + 97. Let k be q(9). Sort k, 0, -3, 5 in descending order.\nAnswer: 5, 0, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -316 in ascending order.\nAnswer: -316, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 + 263. Calculate the remainder when a is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52605324 divided by 92.\nAnswer: 571797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-23))\/(1*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 2, a: 11}. What is prob of sequence ufa?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 9*d - 1. Let j = 23 - 13. Let q be r(j). Suppose -4*x + 3 + 1 = 4*u, u = 3*x + q. What is the greatest common factor of u and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-1)\/((-3)\/3). Let j(x) = -3*x + 1. What is the units digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19632504*c**4 - 17*c**2 - 715505004*c.\nAnswer: -235590048*c**2 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*j - 9, 0*j + 2*j = 4*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 912579137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/10 - (-1 + -6 - -4). What is the biggest value in l, -5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125370512 a multiple of 4607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 + -212.982. Let q = -2.921996 - s. Let v = -0.06 + q. Round v to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 311*f**3 - 5*f**2 - 40*f + 225. What are the prime factors of z(5)?\nAnswer: 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-nine fifths of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 57\/874010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -5*r + 78, r = 5334*b - 5331*b + 91 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 662 = 666. Solve 4*z = -5*x + 3*z, -5*x - 15 = -y*z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 27 = -m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 2*i - 1. Let o = 16 - 18. Determine x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 38. Let l be q(-9). What is the third derivative of 17*g**l + 2265*g**3 + 9*g**2 - 2279*g**3 wrt g?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 13*w - 9*w - 10, j - 3*w + 18 = 0. Which is the smallest value? (a) 2\/21 (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249642948\/11 at most as big as -22694813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-86840)\/30 + 4 - -2)*-3.\nAnswer: 2, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14761 = -9*l + 79723. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0556912401 to 6 dps.\nAnswer: 0.055691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 11:12 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998759 a multiple of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1202, 25\/37, -1 in decreasing order.\nAnswer: 25\/37, -1, -1202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/282 and -59\/10026.\nAnswer: 471222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2. Let b(y) = 554*y + 129 - 1637*y - 130. Give w(b(a)).\nAnswer: -5864445*a**2 - 10830*a - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3265?\nAnswer: 13060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 144?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 0*i - 2*i)*(i + 0 + 0) - 5*i**2 + i**2 - 3*i**2 + (-4*i - 2*i + 4*i)*(-4 + 4 + i) to t*i + m*i**2 + r and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25248, 26859, 29542, 33297, 38124, 44023?\n\"Answer: 536*s**2 + 3*s + 24709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 7 = 3*r. Calculate the highest common divisor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000157310911 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olo when three letters picked without replacement from {o: 5, l: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + 4. Suppose x*c = 3*i + 228, 2*i + 375 = 5*c - 2*i. Calculate the remainder when c is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -6*m - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 0.144, -4 in decreasing order.\nAnswer: 0.144, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1ae3a (base 15) to base 16\nAnswer: -1561c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-3))\/((-4)\/24). Suppose 5*k + g - 3 - 3 = 0, -5*g = 2*k + l. Let t = -1 + 1.1. Which is the second smallest value? (a) 2\/11 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let m(h) be the third derivative of 0 + 0*h**3 + 0*h + 0*h**4 - 7\/60*h**5 + 2*h**2. Calculate m(w(t)).\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/72430560 and -71\/20232.\nAnswer: 72430560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -34. Let u(m) = -46*m + y*m + 18*m. Let i(v) = -v**2 - 3. Determine i(u(s)).\nAnswer: -4*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/(-26))\/(-15*45\/900*(-16)\/30)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, -1, 1, 1\/7, 0.04 in decreasing order.\nAnswer: 176, 1, 1\/7, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 99?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/17 + -55\/34. Suppose 3*p = 3*u - 9, p - 2 + 3 = 3*u. Is u <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-665)\/(-10))\/(-7)*-14. Let y = s + -141. Let g(j) = -j + 2. What is g(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 460 + 30. Let u = 97 + r. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-860)\/(-344)*4\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137948703 < -137948698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 344, 4, 0, 2, -157.\nAnswer: -157, -3, -2, 0, 2, 4, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.733 - -0.123. Let k = -0.71 - w. Which is the nearest to 1\/6? (a) -0.3 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - (-3)\/(-6). Let w(y) = y. Let o(n) = 3*n + 8. Let q(t) = j*o(t) + 2*w(t). Let z(l) = -3*l - 23. Let d(f) = -8*q(f) + 3*z(f). Determine d(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, p: 3, e: 2, i: 2}. What is prob of picking 1 p and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - l + 1. Let d be t(3). Let s = d + -11. Let g = 21 - s. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.86591 rounded to 1 dp?\nAnswer: -57.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/6 - 11*b**4\/24 + 8*b**3\/3 + 11*b**2. Let k(s) be the first derivative of h(s). Does 19 divide k(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/331709 and 29\/331709?\nAnswer: 331709","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - -10 - 0 - (-3 - (3 - 10))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -6 + 14 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 66, 51, 24, -15, -66, -129?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 10*i**2 + 91*i + 3. Calculate j(16).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iigagiiagimiimiigaai. Give prob of sequence gmgi.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 410034 (base 8) in base 14?\nAnswer: 373ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 150253049 to the power of 1\/4, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.60719ns to microseconds.\nAnswer: 0.00960719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63835 + 25385 + 30460)*(g - g - 2*g) + (g - 5 + 2 - 1)*(1 - 4 + 4) as t + u*g and give u.\nAnswer: 15981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 155.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 17798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2058)*1 - sqrt(2058))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*n + 2*i - 6, 3*n + 4*i + 3 = 0. Suppose 2*u + 22 = -2*u - n*r, -u + 2 = -3*r. Sort 3, -2, u in decreasing order.\nAnswer: 3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7831, -15661, -23491, -31321, -39151?\nAnswer: -46981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -463 + 20*c**4 - 2*c**4 + 461 + (-3 + 0 + 1)*(0*c**3 + 0*c**3 - c**4).\nAnswer: 20*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/571 greater than or equal to -10.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/5 + 164684756*x**3\/5 + 6780267050010126*x**2\/5 - 13560534594074524*x\/5 + 6780267379379641\/5.\nAnswer: (x - 1)**2*(x + 82342379)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9437343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2942, 3290, 3852, 4628?\nAnswer: 5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 19)*(0*m**5 - 2*m**5 + 5*m**5) + (-2*m**2 + 3*m**2 - 2*m**2)*(2*m**3 - 2*m**3 - 2*m**3).\nAnswer: 53*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-20)\/(-15) - (-17939996)\/6. What is g rounded to the nearest one hundred thousand?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*p**3 + 1942*j**2*p**2 - 9*j**2*p - 22*j**2 - 242*j*p**3 - 11*j + 20 wrt j?\nAnswer: 4*p**3 + 3884*p**2 - 18*p - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**4\/4 - 10*q**3\/3 + 9*q**2\/2 + 2*q - 54. Let y be x(9). Let r(j) = -j**3 + 4*j**2 - 4*j + 3. Determine r(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 4, z: 2, f: 3}. Give prob of picking 1 w and 2 z.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.78167 rounded to one decimal place?\nAnswer: -61.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Convert 2555 (base 9) to base 16.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180909554?\nAnswer: 2, 7, 12922111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*r = u + 1736, 0 = 2*u - 5*r + 1150. Round u to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3726498 is divided by 3052.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-708 + 713 - (-2 + 30))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 1. Let s(r) = -3*r - 1. Let t(d) = -5*h(d) - 6*s(d). Let i be t(3). Is i less than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**3 + 44*s**2 + 32*s - 10798 wrt s.\nAnswer: -3*s**2 + 88*s + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82490 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*x**2 - 71*x**2 - x - 62*x**2 + x.\nAnswer: -199*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z = -7 - 49. Solve -2*j = 2*i + 2, z*i + 3*j - 1 = -5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 331*d**4 + d**3 - 51*d**2 + 19396600*d wrt d?\nAnswer: 3972*d**2 + 6*d - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1950 = -i. Let g be 2\/(-8) + i\/12. Let x be 0 + 0 - (3 - 12). Calculate the greatest common divisor of x and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -651 + 691 = 10*n. Let t(g) be the third derivative of 0*g - 5\/3*g**3 + 10*g**2 + 1\/40*g**6 + 0 + 0*g**5 + 0*g**n. Differentiate t(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2\/2 - 8*l + 1. Let y be d(10). Suppose 3*o - y*o = 11. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12841 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + -2. Let g = -0.6 - 1.4. Let m be 9\/(-6) + -7 + (-604)\/(-72). Which is the second biggest value? (a) m (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**25\/l)\/l)\/l)\/(l\/(l**4*l)*l) assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((144\/(-9))\/(-128))\/(5\/20)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/27*4*(-3)\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a532a (base 11) to base 6.\nAnswer: 32314255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-7))\/((-1)\/7). Suppose -33 = -x*r + 5. Suppose -2*k + 14 = -z + 6, -2*z = 3*k - r. What is the remainder when 14 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272678927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, -17, -1, -26 in ascending order.\nAnswer: -26, -17, -7, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 at least as big as 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*t - 5*t. Suppose -17 = -2*x + t. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/200 + 13*v**5\/50 - 19*v**4\/8 - 2166*v**3\/5 - 2762*v**2. Factor a(i).\nAnswer: 3*(i - 12)*(i + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/27)\/((60\/9)\/20). Sort 0.04, f, 4\/7, -2 in increasing order.\nAnswer: -2, f, 0.04, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10664082 divided by 5332041\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65183 (base 9) in base 6?\nAnswer: -531503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-3 - 9760\/(-1625)) + -3). Let h(b) = -b**2 + 9*b - 8. Let w be h(7). Suppose 0 = i - w*i + g. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*m**4 - 20*m**4 - 8*m**4)*((0 + 0 + 1)*(6 - 3 - 2) + 2 + 2 - 2).\nAnswer: -189*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 8. Let w(c) = c - 1. Calculate l(f) + 3*w(f).\nAnswer: -2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**5\/5 - 659*u**4\/5 + 29396*u**3\/5 - 221854*u**2\/5 + 507912*u\/5 - 53667 = 0.\nAnswer: 3\/4, 3, 5, 67, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*(-49 - -55). Put 10, 5, z in decreasing order.\nAnswer: 10, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 + -52255?\nAnswer: -52344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**3*u**3 - 11119*p**3 + 4*p**2*u**3 - 20454*p**2 wrt p?\nAnswer: 6*u**3 - 66714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1304160 and 87945.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -391035.\nAnswer: -391035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 4 - 2*d - 2*d)*(-3*d + d - 4*d) as l*d + z*d**2 + p and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.3. Let t = 0.2 - b. Let k = -17 + 19. Which is greater: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + ((-231)\/12)\/(-7). Which is smaller: g or 2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.11 (b) 0.78 (c) -50 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-3)\/(-15) - 54. Let b = o - -104. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 29*i**2 + 23*i + 16. Let t be z(-15). Let x = t + 104. Solve -2*o + 0*o + 8 = x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Suppose -5*b - 5 = 0, r*i + 13 = i - b. Solve -f - i = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 12 - 3)*(2*s**2 - 2*s**4 - 2*s**2) - 3*s**2 + 3*s**2 + s**4.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -21*b + 18393750 + 6440478, 4730279 = 4*b + 5*u. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**5\/60 + n**4\/3 - 3*n**3\/2 + 9*n**2. Calculate m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(-70) + 11487*(-7)\/(-210)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-1.4.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -472094\/11 bigger than -42919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (5 + -4)) + (-1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 2775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 4, -3\/5, 2\/17, -3.27.\nAnswer: -3.27, -3\/5, 2\/17, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -80.947. Let p = b + -0.703. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3261 - 12953\/4. What is the common denominator of 113\/48 and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 45*u - 9. Let b be l(1). Solve -5*v + 2*n - 3 = -b, 0 = -5*v - 2*n + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 572*d*x**4 - d - 6*x**4 + 1840 wrt x.\nAnswer: 2288*d*x**3 - 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*r + 1163 = 93 - 475 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 10*w + 6. Let a be i(-10). Suppose -a*l + 4*l + 2 = 0. Find the first derivative of -l + 4 - 5*g**4 + 4*g - 4*g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - 27\/(-6))*(2 + 0). Suppose -2 = 139*b - 2 - 0. Determine u, given that -2\/9*u**o + b + 0*u + 0*u**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66165919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -510471\/4 + 116387279\/912. What is the common denominator of -79\/8 and a?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -50*p**4 + 260*p**3 - 72*p**2 - 14*p + 14. Let l(n) = -2*n**4 + n**3 - 2*n**2 - n + 1. Let x(o) = -2*j(o) + 28*l(o). Factor x(m).\nAnswer: 4*m**2*(m - 11)*(11*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 5*m + 10. What is the remainder when 36 is divided by s(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -587.58108 to zero decimal places.\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - (-35 + 49 + 9 + -13 + -25 + 3)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 66140016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20638*w + 34098*w - 18711*w + 45347*w + 39603*w)*(w - 1 + 1) as m + u*w**2 + z*w and give u.\nAnswer: 79699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (237168\/480)\/61 + -8*1. What is the nearest to -1\/10 in k, 3\/7, -16?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 + 2) - (52 + -61).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 8 - 43. What is the third derivative of 9*j**5 - h*j**5 + 11*j**2 + 8*j**5 + 5*j**5 wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 6. Let j(d) = -4*d - 11. Let a(i) = 11*b(i) - 6*j(i). Suppose 3 = 2*k - k. Let z(n) = n**2 - k*n**2 + 0 + 0. What is a(z(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -24*s + 1\/3*s**3 + 1\/21*s**4 - 2\/7*s**2 + 0 - 1\/10*s**5. Factor w(c).\nAnswer: -2*(c - 1)*(c + 1)*(7*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*u**3 + 156*u**3 - 4 - 34*u**3.\nAnswer: -14*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*w = 81*w - 2055 - 8073 - 1959 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 216, 439, 660, 879, 1096?\n\"Answer: -r**2 + 226*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 23 in decreasing order.\nAnswer: 23, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857*r + 599 - 14542 = 626 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*m + 26, 4*k + 13 = m + 35. Let w = -1040 - -1048. Suppose -k*u = -w - 82. Solve -3*h = 2*o - u, -2*h = -3*o - 1 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4459 + 4501.23. Let a = l + -42. Let q = a + 0.77. Which is smaller: q or 6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 889 = b, -3*b - 2*g + 1728 = -923. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a0789 + 29?\nAnswer: 12a0807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 28 - 10)*(-1 + 3 + 0)*(8111*l - 8111*l + 10 - 8*l**2) + (4 - l**2 - 4)*(0 + 4 - 6).\nAnswer: 514*l**2 - 640","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-36)\/54)\/(10\/(-12)). Which is the smallest value? (a) -5 (b) g (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1920.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142190.\nAnswer: 2, 5, 59, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -1470\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2\/2 - 3*v - 2. Let u be p(-3). Let j(z) be the second derivative of z**4\/12 + z**3\/6 - 3*z**2 - 3*z. Determine j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/5 - 8*r**2 + 74*r\/5 - 36\/5 = 0.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 15*h - 9. Let a be b(-14). Let s = 412 + a. Let x = s - 83. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c**3 - c**2 + 149*c - 111. What are the prime factors of d(-12)?\nAnswer: 3, 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-4)\/8*-4). Solve c + 5*y + 8 = -r*c, -3*c = y - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in months?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.02, 1, 5\/2, -2\/293 in descending order.\nAnswer: 5\/2, 1, -2\/293, -3.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.5 and 0.3.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4202 (base 9) to base 16\nAnswer: -c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252342 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1452778769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.19 + 0.39. Let g = -1.8 - j. What is the nearest to 2\/7 in -0.3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/180 + j**4\/12 - j**3\/2 + 25*j**2. Factor r(s).\nAnswer: -(s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5169406.\nAnswer: 2, 11, 19, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.15866 < 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.4 (b) -3\/7 (c) 6\/7 (d) 18 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - (-202857 + -9 + 14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448360 and 18920.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1646, -1648, -1650, -1652, -1654, -1656?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/53? (a) -3 (b) -5.1 (c) 3\/2 (d) -1 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 + 7670*c**4 + 22965*c**3 - 20*c**2 - 30620*c = 0.\nAnswer: -1531, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.53 - -24.53. Let o = p - 24.0073. Round o to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2400 + 2436. Calculate the highest common divisor of 4500 and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 168 - 166. Suppose -h*v - 5*v + 4*v = 0. Solve 0 = 4*y - 2*r + 18, y + y + 4*r + 14 = v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**3 - 5*w**2 - 11*w - 2. Let p(q) = -2*q + 3. Let l be p(4). Let g(j) = -j**3 + j**2 + j. Let z(o) = l*g(o) - b(o). Factor z(v).\nAnswer: -2*(v - 1)*(2*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-41722)\/552 + 76)\/(1\/12). Let q(m) = m**2 - m. Let x be (6\/4)\/(1\/(-2)). Let k(i) = 3*i**2 - i. Give n*q(j) + x*k(j).\nAnswer: -4*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**7\/315 - x**6\/180 + x**5\/90 + x**4\/36 + 6*x**2. Let i(y) = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - -75 - 19) + 71\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 - 17*h - 5. Let s(w) = -3*w**2 + 8*w + 2. What is -2*k(m) - 5*s(m)?\nAnswer: m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeey when four letters picked without replacement from {v: 1, e: 2, s: 2, a: 1, o: 2, y: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50245094 is divided by 54?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -32*c**2 - 65*c - 7. Let o = -213 - -211. Let q(d) = 32*d**2 + 64*d + 5. Let n(s) = o*p(s) - 3*q(s). What is the second derivative of n(x) wrt x?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 13*d**3 - 97*d**2 - 9*d**3 + 6*d - 3*d**3 - 6 + 94*d**2. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + -84. Let y be 44\/(-84) - 3*o\/42. Sort 2\/9, y, 0, -4 in decreasing order.\nAnswer: 2\/9, 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2657 or -1?\nAnswer: 2657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5775095 bigger than -5775079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-2))\/(8\/(-12)). Suppose 0 = 2*p - 24 - d. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from {n: 4, u: 2, m: 2, k: 3, z: 1, t: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 + -298. Let p = i + 144. Solve 5 = 2*k + p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1644*s - 1644*s + 28*s**2. Let q(c) = 2*c. Determine x(q(r)).\nAnswer: 112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6204 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -223610 divided by 1?\nAnswer: -223610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/15)\/(24\/(-36))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(4 + -1) - -2. Let q(d) be the first derivative of 5*d - u - 2*d**2 + 3 - 5*d**2 + 5*d**2. What is the first derivative of q(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195830.\nAnswer: 2, 5, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247673 by -231.\nAnswer: 247673\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2838.535+2291\nAnswer: 5129.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (23 - 10 - 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(18)\/(sqrt(30)\/(sqrt(5)*2 - sqrt(5))))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*h - 0*q + 28, -3*q = h + 13. Let g be ((-2)\/(-3))\/(2\/18). Let l be h\/72*8*g. Are -2 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 7 = -3*w, 2*w - 37 = -4*a - 43 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -g - 1267, 6*g = 11*k - 12*k + 298. What is the highest common factor of k and 1817?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21005, -21006, -21009, -21014, -21021, -21030, -21041?\nAnswer: -21054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - w + (-104 - 106 + 222)*(w - 2*w + 0*w) as f + y*w and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -8. What is the third biggest value in 0.3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6507 = -h, -2*z + 233*h + 4338 = 228*h. Does 51 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1534\/15 (b) 2 (c) 0.2 (d) -4 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000533 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 7. Suppose g = 28 - j. Suppose -g*z - 11 = -53. Solve 3 = 5*r - z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508434679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -v, 0 = -5*p + 30*v - 35*v + 535. Calculate the remainder when 712 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7 + 4*b**3 + 2*b - 3*b**2 - 4*b. Let g = -737 + 775. Calculate the remainder when o(3) is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1\/6, 82.7, -3\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(731\/(-129) - -1*5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*w = -50, 8*w = c - 1010 + 1063 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 0. Let x be -3 - (-11 - 4) - 10. Put x, 5, c in increasing order.\nAnswer: c, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 17 = -5. Suppose l*w - 9 = 3*c, -4*c = -c. Suppose f = -w*h + 17, 19 = 5*h + 2*f + 2*f. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + -2*(2 + sqrt(1377) + -4 + 4))**2)*4.\nAnswer: 864*sqrt(17) + 22196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 85 + 30. Let l = -20 - v. Let a(c) = c**2 + 4*c - 2. What is the remainder when l is divided by a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65030 to the nearest 1000.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 3*i + 4*z, 2*i - 2*z + 39 = -i. Suppose 0*m - c - 16 = -2*m, -c = m - 8. Let p(b) = b - 23. Let x be p(m). Is i < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.75, -4, 5 in increasing order.\nAnswer: -4, -0.75, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-5) + 7\/5. What is the hundreds digit of 203274\/299 + d\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-6))\/(2\/168). Suppose i = 8*i + j. Let o = i - -25. Calculate the highest common factor of o and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -4 in increasing order.\nAnswer: -16, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 12168.\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85.3 - 85. Which is the fourth smallest value? (a) y (b) 5\/6 (c) 6\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 8. Let o be x(6). Let n = o + 60. Let z = 28 - n. Solve 5*h + z + 17 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -2 + -8 - -2) + 14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**3 + 4*h**2 + 1. Let b(d) = -60*d**3 - 22*d**2 - d - 6. Determine -2*b(y) - 11*v(y).\nAnswer: -12*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.68 - 14.73. Let a = 7 + -8. What is the third smallest value in -0.04, a, v?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 642426910*u**2 + 5*u**3 - 17*u + 642426910*u**2.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2940 and 84.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from {n: 8, d: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.393 + 179.393. Let y = -169.175 + i. Let k = -0.125 + y. What is k rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 17*b - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3\/9 - 4*o**2\/3 = 0 for o.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -31. Let b(l) = 4*l**2 - 22*l - 38. Is b(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 35?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*p + 0 + 36 = 327*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and -12\/191.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v**2 - 24*v**2 + 2*v**2 - 429*v**4)*(1 - 10 - 2)*(-1 + 1 - 2*v).\nAnswer: -9438*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-594))\/((-24)\/11)*(-357)\/595?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 5*z**2 - 7. Let p(y) = 2*y + 16. Let n(g) = -g. Let s(t) = n(t) - p(t). Let c be s(-11). Suppose c = 3*u + 2. What is v(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/19 - 170*s\/19 - 2328\/19.\nAnswer: 2*(s - 97)*(s + 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 46 + 35 + 47 = 0. Suppose 2*t = -10, -2*w - 2*t - 15 = -t. Sort 1, w, x, -2 in increasing order.\nAnswer: w, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apigaiiih. What is prob of picking 1 g, 1 i, and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2178 and 24?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -156. Calculate the remainder when y is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001791338 to 6 dps.\nAnswer: 0.001791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*n + 5*q, 3*n = 2*n - 4*q + 14. Find the first derivative of 0*a + 2*a - a + n + a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 6:16 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(2))*-5.\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 269923.5 to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + 21580\/90. What is the common denominator of (-4408)\/s + 1\/5 and -89\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 391.18 and -0.96?\nAnswer: 392.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, -0.023?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104193 and 2710380?\nAnswer: 414688140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2790\/60*36\/(-54)*1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -363, -725, -1089, -1455, -1823?\n\"Answer: -o**2 - 359*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43075*b + 4 - 4 + 43081*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwvwwuvvvlwwwwv. What is prob of picking 1 j and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/(305\/210) + ((-189)\/28 - 2\/8).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 967986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/8 - 182993*d - 731973\/2 = 0.\nAnswer: -2, 1463946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z + 30 - 73 = 72 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.8 and -876493.\nAnswer: 6836645.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) - (-25)\/4. Let l(j) = j**2 - j + 3. Let g be l(x). Find the common denominator of ((-31)\/g)\/(5\/(-15)) and 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12993 - -2299. Calculate the least common multiple of y and 12.\nAnswer: 45876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3)*w)\/w)\/w*w\/w**(-2\/5)*w*(w**(3\/2)\/w)\/(w*w**(3\/5)\/w*w*w))\/((w**(-2)\/w)\/w*w**(-5)*w*(w**(-1))**(1\/32)) assuming w is positive.\nAnswer: w**(853\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -19*g**3 - 9*g**2 + 56*g + 590. List the prime factors of i(-9).\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -6, 1, 0.5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.01623491979 - 0.318.\nAnswer: -3.33423491979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11655 + -850?\nAnswer: -12615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*s = 11, 3*h - s - 23 + 17 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 20*f + 283. Let z(t) = 87*t**2 + 1. What is the lowest common multiple of y(-29) and z(1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_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: 2, c: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 0 - 6 + 5*f**2 + 2*f**2. Let o(l) = -2*l**2 - 3*l + 2. Let a(c) = -c**2 - 2*c + 1. Let y(u) = 3*a(u) - 2*o(u). What is -s(g) + 6*y(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002020 (base 3) to base 7.\nAnswer: -13542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 6. Suppose -2*g + 9 = -v, 3*g = -3*v + 3 + o. What is the highest common divisor of 20 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-5 + sqrt(288)*2 + 4 - (3 + 4*1*sqrt(98))).\nAnswer: -4*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1134036 + 41499293.\nAnswer: 42633329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166 + 175 - (12 + 0)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23632a6 (base 12) to base 6\nAnswer: -402441530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18154 minus -0.087?\nAnswer: 18154.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -0.86. Let u = 0.2 + -1.2. What is the second biggest value in 2, -1\/6, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6142307 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 2*a**2 + 2703*a + 23755. Determine m(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9665 (base 13) in base 10?\nAnswer: 20870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 322 = -3*h, -h - 3*w = -111 + 22. Let m be ((-39)\/2)\/(-3) - (-156)\/h. Solve r - m = -z, r + z - 14 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1442203878 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 + -168.5. Put 0.03, r, 2\/11 in descending order.\nAnswer: 2\/11, 0.03, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 13*t - 140. Suppose 0 = t*j - 686 - 161. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17978809 - 8*z**3 - 8989414 - 8989396.\nAnswer: -8*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1900)*-1*6 - (-5 + sqrt(1900)*3))*6)**2.\nAnswer: -32400*sqrt(19) + 5541302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76721\/48 + 4814\/3. Find the common denominator of -29\/1132 and f.\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -823 - -946.6. Let k = p - 122.226. What is k rounded to 2 decimal places?\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -951972, -952446, -952920, -953394?\n\"Answer: -474*c - 951498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 1941 - 1871 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/9)\/8)\/((-15)\/3)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1012)\/(-138) + 2\/(-6). Find the second derivative of 50*i - 5 + j + 71*i + 116*i**5 - 118*i**5 - 120*i**4 wrt i.\nAnswer: -40*i**3 - 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1345 divided by 1.\nAnswer: -1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 4)*(-55)\/(-33) - (-3136)\/(-64).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130422 (base 6) to base 2.\nAnswer: 10111000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6025748*p**2 + 13111581*p?\nAnswer: -12051496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 - 165. Let d(j) = -j**2 + 9*j - 4. Let t(k) = 4*k**2 - 26*k + 11. Let f(q) = -7*d(q) - 2*t(q). What is the tens digit of f(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -4 - 5*n - 3\/2*n**2. What is the derivative of h(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + t)*(-5 + 3 + 0) - 2*t + 2*t - t + 7*t - 2*t + 21*t to the form k + o*t and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460665 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 31 - 7)*(-s - 2*s + 4*s + (2*s + 2*s - 2*s)*(3 + 0 - 1)) to b + u*s and give u.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-5))\/((-92)\/(-230)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 11*d + 68 = -n + 107, 0 = -2*d - 2*n + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 times -464?\nAnswer: -55.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419438399 greater than or equal to 419438400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4 - (-110)\/(-20)*47)\/1. Sort -0.2, 0.4, z.\nAnswer: z, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 243*u - 1066. Let v(c) = -c. Give v(h(k)).\nAnswer: -2*k**2 + 243*k + 1066","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h**2 + 6*h + 44. Let g(z) = -3*z**2 - z - 9. Let y(r) = -11*g(r) - 2*n(r). Let p be y(0). Calculate the highest common factor of p and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 5 - 5. Suppose -4*p + g - 6*g + 28280 = 0, -4*p - 2*g = -28292. Let j(a) = -4*a - p + 7075. Determine j(t(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2605 = 4*l, 4*l + 5*m - 2610 = 3*m. Let k be (l\/105)\/(-2) + 3. Let p = k - -13\/63. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184134?\nAnswer: 2, 3, 30689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 9308 = -10*g - 9140 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 1. Let f(y) = y + 2. Suppose 6*s = 33*s + 142 - 61. Give s*z(c) + 4*f(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4134 - -2?\nAnswer: 4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2 + 4*h + 1. Let o be j(5). Let p be (0 + (-10)\/(-8))*4. Let w be (-5)\/2*o\/p. Solve -u = -4*z - w*u - 16, -5*u = 2*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 5*d - 33. Suppose -4*t - 2 = -5*s, 0 = 4*t - 2*s - 1 - d. Solve 2*m + t*m = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -262, -294, -374, -526, -774, -1142, -1654, -2334?\n\"Answer: -4*t**3 - 4*t - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 2:48 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l**2 - 5*l + 10. Suppose a + 1 = 3*n - a, -2*n + 14 = 2*a. Suppose n*w = 5*w + 5*k + 21, 0 = -5*w - 5*k - 15. Does 12 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 106.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149814 and 1027296?\nAnswer: 7191072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1429071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -r + 2, r - 3 + 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1037 + 11 + 21\/3. Suppose 2*h - 2*s = -5*s + k, -h + 3*s + 514 = 0. Is h a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10225 (base 7) to base 12.\nAnswer: -155a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 283260.56 to the nearest 1000.\nAnswer: 283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 5, k: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.3. Let s = 60 + -57. Put 1, s, x in decreasing order.\nAnswer: s, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3709*w**2 + 4*w - 4. Let j be (-6)\/(1 + -4)*(-1)\/(-2). Is f(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206 and -27.\nAnswer: -5562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = 9*q - 133. Calculate the remainder when 109 is divided by (35\/q - 1)\/((-5)\/(-20)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*s**2 - 120\/11 + 46\/11*s.\nAnswer: -2*(s - 20)*(s - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 55856 + -109156. What is q rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -0.2619962?\nAnswer: -4.2619962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1456a1 (base 11) to base 7\nAnswer: 1634056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001460673 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 509?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 707918 and 12?\nAnswer: 4247508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b**4 - 81*b**3 + 84*b**2 + 204*b - 144 = 0 for b.\nAnswer: -3, -2, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a + 5. Let q(k) = -k. Let g(u) = -5*q(u) + t(u). Suppose 13 = 3*y - 2. Suppose 0 = y*f, -4*f - 4 - 1 = x. Determine g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 48\/(-21)) + (-30)\/(-140).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 481003906\/9 or 53444879?\nAnswer: 481003906\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 6*x + 5*u + 14 = 3*x + 7*x - 18, -28 = 7*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 42*h + 18. Is v(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/2)\/(m\/(m\/m**(-2\/21))))**(-2\/71) assuming m is positive.\nAnswer: m**(101\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223414, 223424, 223434, 223444?\nAnswer: 223454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 32*u**3 - 28*u**3 - 6*u**3 - 1.\nAnswer: -2*u**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7897.045719 - 1292.999591. Let h = r + 9190. What is h rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1207 and 34719?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3\/7 + 1200*k**2\/7 + 69264*k\/7 = 0. Calculate k.\nAnswer: -222, -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 26*h + 594071*h**2 - 594063*h**2 - 1.\nAnswer: 8*h**2 - 26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 347950 and 36050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -k. Let f = -3 + k. Let s be f\/5*10\/8. What is the nearest to s in -1, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**6 - 172*i**5 - 121*i**3 - 10*i**2 + 661*i.\nAnswer: -120*i**3 - 10320*i**2 - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108 + -106. Solve -10 = -6*d + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 3*s + 6. Let k be n(-4). Let j(q) = 12*q - 3. Does 7 divide j(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 bigger than 190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.293 - -0.183. What is j rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280394625 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-8)\/(w**(5\/4)\/w*w**(-3))*(w**(-2\/7)*w**1*w)**(4\/21) assuming w is positive.\nAnswer: w**(603\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -79 - 5 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 69621890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(88)\/(sqrt(48)\/sqrt(6))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(2 + 50\/(-24)). Let d be 248\/j + 2\/(-3). What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10105 and -73.\nAnswer: -737665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595454159.\nAnswer: 3, 13, 40909081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -34. Suppose 224 = l*v + 2*k, v = -7*k + 4*k + 106. Calculate the greatest common divisor of v and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 + 3*g + 2\/15*g**3 + 0*g**2 - 1\/30*g**4. Let p(i) = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + 2. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 93 - 1979. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (13 - 5) + -10 - (-1 + 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.033130884 rounded to 2 decimal places?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 6, -2*x - 7 - 1 = -3*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-66))\/((-20)\/44)*50.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0283, -2 in descending order.\nAnswer: -0.0283, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -8. Let z be ((-2)\/(-12))\/((28\/(-24))\/7). Sort m, -2, z.\nAnswer: -2, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.3 - 2.25. Which is smaller: -1\/5 or y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y - 5. Let j(i) = i - 6. Let b(x) = 5*j(x) - 6*s(x). Let a(g) = g - 1. Let n(w) = 7*w + 3. Let v(l) = 15*a(l) + 5*n(l). Give v(b(f)).\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaahah. Give prob of picking 2 a.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 7. Let a(x) = -x**3 + 6*x**2 + 6*x + 9. Let r be a(7). Suppose j + 2*l = r, -4*l - 4 = j + l. Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x - 15. Let o(n) = -10*n. What is the smallest common multiple of b(-8) and o(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.6 (b) -1\/22 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -190242.\nAnswer: -4\/95121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 - -94. Let g = 31 + -17. Calculate the smallest common multiple of b and g.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 41430?\nAnswer: 41433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 2*a + r, -r + 0*r = -2*a + 48. What is the highest common divisor of 50 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - 75. Suppose 3*q + 29 = 5*z - p, 5*q + 20 = 0. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + -51 + 97527\/969?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*g + 45 = 0, -10*s + 4*g = -8*s - 16. Suppose 0 = 5*h + o - 8289, -s*h + o = -11*h + 1661. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-57)\/(-72) - (-2)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-4))\/(-14 + 445\/30). Sort f, 0.12, -4 in decreasing order.\nAnswer: f, 0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(8\/3)\/r*r)\/r*(r*r**(2\/3)*r)\/r assuming r is positive.\nAnswer: r**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 9:37 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15752?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -700370, -2801393, -6303106, -11205515, -17508626?\nAnswer: -25212445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxppsyxpppss. What is prob of sequence xpy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - 6125?\nAnswer: -6016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536152587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -70*b**3 - 11. List the prime factors of n(-2).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1250, 1609, 1978, 2357, 2746?\n\"Answer: 5*y**2 + 344*y + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose 0 = b + 8, 4*b + 57 = -25*j + 20*j. Put 8, j, g in ascending order.\nAnswer: j, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -16. Let x(h) be the first derivative of 1\/2*h**2 + u + 0*h. Let z(s) = s. What is z(x(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/11680 and -151\/2190?\nAnswer: 35040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 112*p - 4 - 58*p - 60*p - 42. Let r be q(-8). Suppose -5*g + 45 = -10. Solve a = 2*s + 3, r*s + g = -5*a + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/187 and -20\/818873.\nAnswer: 818873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4.3, -0.2, -44231?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/5 + 3454010*u**2 + 51810132*u\/5 = 0.\nAnswer: -8635022, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13915 divided by 121?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9 + 141\/15 + (-13)\/(-5). Suppose 0*a + 15 = -5*a, -a + 393 = u*d. List 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 the lowest common multiple of 36924 and 18462?\nAnswer: 36924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3*12\/(-450))\/(120\/(-34800))*(-15)\/6\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vro. What is prob of sequence rov?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -18510*p**2 - 198785*p + 33645 = 0. Calculate p.\nAnswer: -6729\/617, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q + 20. Let l(s) = s + 5. Calculate 4*j(i) - 15*l(i).\nAnswer: 5*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -8866919.4.\nAnswer: 6206843.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 78705 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**24\/(x\/(x*x\/(x\/(x*x**2)))*x)**9 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25000 and -2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 i when three letters picked without replacement from pinypnnypnp.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -0.13 (c) -2 (d) 9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let f(k) = -33*k**2 + 2. Calculate f(s(i)).\nAnswer: -132*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2 - 44*d**4 - 4682*d**3 + 4682*d**3 + 17 + 0*d**2 wrt d?\nAnswer: -1056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 321*g**4 + 239*g**2 - 96*g - 75558012.\nAnswer: 1284*g**3 + 478*g - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730 = s - 0*s. Let g = -241 - s. Suppose 4*x - 2328 = -f, -x + g = 5*f - 112. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/(-126)*(-9)\/(-210). Which is the nearest to z? (a) 1 (b) 0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 6*f**2 + 14*f - 42. Let v be y(5). Let h = -1 + 1. What are the prime factors of v\/(-9) - (h - 272\/6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-5)*g*g\/g**(-6\/7)*((g\/g**(-2\/3))\/g*g)\/(g**(-7)\/g) assuming g is positive.\nAnswer: g**(179\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (34 + -1) - -22\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7875 divided by 225?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 7:04 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5969\/6 - 997. Let t(o) = o**3 + 4*o**2 + 4*o + 2. Let q be t(-3). Which is smaller: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:16 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(9 + -1). Suppose 5*h - 60 = -5*s - 5, 5*h = 25. Suppose -x*f - 3*p = -s, 5*f - 2*p = -0*f - 4. Solve f = 3*i - 3*n, 7*i - 10 = 3*i - n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 greater than 2.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 3)*(2 - 2 + 4*w) + 4*w + 3*w - 6*w + 304*w + 1779*w + 2830*w - 766*w - 8*w to the form v*w + y and give v.\nAnswer: 4144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1545124123 - 0?\nAnswer: 1545124123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 895\/4 - 1\/(-4). Suppose 39*j = 18*j - 34*j + 1540. What is the highest common divisor of z and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 - -0.26. Let x = g + 1.9. Which is smaller: x or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*a + 3*a. Let j = 10 + a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2, 0.3, -1\/6, 5, -0.2753?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/2 + 8 + 4. Calculate the highest common divisor of 81 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/120 - c**5\/12 + 7*c**4\/24 + 3*c**3\/2 + 5*c**2. Calculate the lowest common multiple of k(-6) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/5 (c) -3 (d) 5 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 212654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -i - 4*i**2 + 0*i + 4*i in the form f*i + v*i**2 + d and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3\/4 - 95*q**2\/2 - 400*q + 1000 = 0. What is q?\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -13, -27, -59, -115, -201, -323?\n\"Answer: -z**3 + 5*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/85)\/(3948\/(-180) - -22).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19983 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 3)*(0 - -5). Suppose -2*u = 1 - d. Let v(l) = -2*l - l + u*l. Let k(h) = -7*h. Determine v(k(p)).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -918?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37827 and 324.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2039352 and 100296.\nAnswer: 6118056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -641 <= -641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 - 7*f - 44 - 93 + 8*f - 3*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let w(o) = -2*o**2 - 5*o. Calculate w(f(d)).\nAnswer: -8*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 20*r + 15. Let g(m) = -m + 1. Let v(y) = -y + 3. Let k(f) = 2*g(f) - v(f). Let u(w) = a(w) + 15*k(w). Let t(l) = -2*l. Determine u(t(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2634.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087086566 to the power of 1\/3, to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45.1 + -52. Let t = -0.06 - -7.06. Let a = t + q. Sort -3, a, 0.3.\nAnswer: -3, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, -45, 1 in decreasing order.\nAnswer: 5, 1, -1, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 3*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/4 + 13*p**3\/3 - 8*p**2 - 7*p - 17. Let y be b(-14). What is the highest common divisor of 252 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*j**(11\/5))*j*j**(-16))\/(j**4\/(j**(-4\/11)*j)) assuming j is positive.\nAnswer: j**(-1021\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 0.03, 9\/7 in ascending order.\nAnswer: 0.03, 9\/7, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -1111*o**2. Let k(d) = 8*d**2. Calculate g(k(u)).\nAnswer: -71104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-900)\/50 - 1\/((-1)\/5). Let b(s) = -7*s - 87. Let v be b(w). Solve 2*a - 6 = 3*o, -v*o - 3*a = 15 + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (393\/(-24)*22)\/(-187*113\/7684)\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/262834 and -53\/34876050.\nAnswer: 453388650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (1 - 20\/(-5)) + 7.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*o**4 + o**4 - 18*o**4)*(-1 - 1 + 3).\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11930*g**2 + g - 13. Let i(v) = 2*v. Determine i(x(r)).\nAnswer: 23860*r**2 + 2*r - 26","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:11 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*a + 7 = 23, 5*u - 35 = -4*a. Suppose -l + 15 = -5*f, u*l = -5*f + l. Let h(b) = -7*b + 4. What is the tens digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {q: 4, y: 5, j: 3}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4904 + 4901. What is the nearest to 0.05 in 0.07, z, -1, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187\/7 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 9*j - 3. Let s be 7 + (3 - (-3 - -3) - 4). Suppose 14 = s*w - 4*w. What is c(w)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*l**2 + 46 - l - 46.\nAnswer: 63*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 10*c**2 + 12*c - 28. Let t be y(9). Calculate the remainder when ((-19)\/t)\/((-5)\/(-25)) is divided by (-167)\/(-7) - (-14)\/98.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 30.4. Let d = 0.4 + s. Let z = 17.34 + -16.94. Which is the closest to 0.1? (a) 0.1 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 32*t**3 - 6*t**2 - 2*t + 23. Let o(s) = 31*s**3 - 9*s**2 - 3*s + 24. What is 2*o(j) - 3*x(j)?\nAnswer: -34*j**3 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 1 - 4 = 0. Suppose -5*s + 5 = h - v, 5*s = -3*h + 28. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 8*u - 1. Let i be k(-8). Let h = i - -5. Suppose -5 = -h*x + y, -4*y + 15 = y. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 5:47 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2305935*j*l - 372*l + 361 wrt j?\nAnswer: -2305935*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12197?\nAnswer: 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1424 = 15*o + 451. Let v = o - -164. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -17. Let g = v - 5. Which is the biggest value? (a) g (b) -2\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4806\/89*(-2)\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3665\/(-15393))\/((-2*(-20)\/72)\/(-4)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90793021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 25, 3*s + 296 = -3*b - s. Let w = b - -94. Solve -3*v + 36 = 5*n + v, 8 = w*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6 + 915*w - w**2 - 302*w - 297*w - 302*w as z + j*w + l*w**2 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*k, 3*s - 12 = 5*k + 43. Find the third derivative of 24*l**3 - 12*l + 27*l - s*l - 20*l**2 wrt l.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + v + 25. What is r(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007322319 rounded to seven dps?\nAnswer: 0.0007322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/5 (b) -4\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/210 + 10\/(-42). Which is the nearest to o? (a) -8.8 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*j**3*n**2 - 283*j**3*n - 628231*j**2*n**2 wrt j?\nAnswer: -318*n**2 - 1698*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618326 to the power of 1\/2, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 103839?\nAnswer: 1869102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = -120*m - 94*m + 227*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - -31) - (-11 - -34 - 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25152319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 44*d**4 + 3*d + 58. Let k(j) = -j**4 + j - 2. Let i(n) = -2*h(n) + 6*k(n). Differentiate i(u) with respect to u.\nAnswer: -376*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 6)*(0 - 5 + 0)*(y - 2*y + 2*y) to m + c*y and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588931004?\nAnswer: 2, 73, 127, 15881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.586 + 298.586. Let o = 321.9 - a. Let c = o + -24. Which is bigger: c or -17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 + 3. Let h be t(-3). Suppose -b - 5*l - 6 = -3, -13 = -b + h*l. Solve b*q - 15 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzzjz. What is prob of picking 3 z and 1 j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffu when four letters picked without replacement from ufufufuuuuufuf.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b + 1. Let p(h) = h. Let v(n) = 2*n + 1. Let z be v(-5). Give z*p(l) + 2*r(l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.26156 nanometers in centimeters?\nAnswer: 0.000009426156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.405. What is d rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 831, 6605, 22279, 52803, 103127, 178201, 282975, 422399?\nAnswer: 601423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -29*u**2 - 12*u - 45. Let g(x) = 10*x**2 + 4*x + 16. Determine -6*b(y) - 17*g(y).\nAnswer: 4*y**2 + 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (124\/12 + 4 + -4)\/((-4018)\/(-12054))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let a(b) = -b - 5. Let s(n) = -2*n - 10. Let x(h) = d*s(h) - 5*a(h). What is x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -4586.\nAnswer: -15\/4586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 42. Calculate m(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 760 - 5333\/7. Let w be (4\/(-6))\/((-6)\/1563). Let i = w + -853\/6. Calculate the common denominator of i and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*u)*(0 + 2 - 4) + u + 3*u - u + (1 - 4 + 0)*(24*u - 37*u + 20*u) + (4 - 1 - 1)*(-u + 5*u - 3*u).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(19)) + (-2*sqrt(171) + sqrt(171))**2.\nAnswer: 6*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojuullkolkmljlll. Give prob of picking 1 j and 2 k.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -69 (base 13) to base 14\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 101100101001?\nAnswer: -101100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -30*g**2 + 153*g - 8. Let l be v(5). Let q(r) = 3*r - 23. Calculate q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*k = 2. Suppose 4*g + 3*i - 20 = 0, k*i = -g - 0*g. Suppose -3*a + 51 + 21 = 0. What is the highest common divisor of a and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 9 - 4 - 362*c**3 + 361*c**3 + 3*c + 9*c**2. Determine d(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2. Let q(n) be the third derivative of -7*n**2 + 79\/6*n**3 + 20 + 1\/24*n**4 + 0*n. Determine i(q(b)).\nAnswer: -3*b**2 - 474*b - 18723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*-3*-8. Suppose 4*b - 5*l - 10 = -5, -1 = b + l. Solve 13 = -2*x + 3*x - 3*i, 4*i + p = b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 6. Let y be h(-7). Let p = 37 + y. Suppose 4*f + p + 4 = 2*v, 0 = -f - 2. Solve 3*z + v*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6502 (base 10) to base 12\nAnswer: 391a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Let g be (8\/(-20))\/(u\/(-15)). Which is the second biggest value? (a) g (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpruzlryruuzlur. Give prob of picking 1 l, 2 z, and 1 u.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33664021 - 1?\nAnswer: -33664022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + 4*q**2 + 2*q**2 - 8*q**2 - 6*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(5\/4)*j))\/j*j\/(j*j**(1\/5))*(j\/(j*j**(-2\/17)))\/(j**(-5)\/j*j)*(j**(-2\/3))**(2\/69)*j**(3\/5)\/(j**(-3\/5)\/j) assuming j is positive.\nAnswer: j**(68245\/14076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130946 divided by 3.\nAnswer: -130946\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2051 - 2008 = 5*y, -6*d - y + 41 = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 10:07 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:21 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let o(b) = -1160*b - 2. What is o(m(k))?\nAnswer: 1160*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 26 = 3*s - 0*s, 5*b - 50 = -5*s. Suppose -4*u - 6 = s, -5*u + 102 = 3*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1237 + -1235. Let k be (-55)\/(-5) - 3*2. Solve k*g = y*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1350*195\/52*-4.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-2))\/(1\/(-12)). Let f = 7 - a. Let c = 7 + f. Solve 7*t = -2*p + 5*t, -c*p = 3*t + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715582062 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 200 = -3*g. Let f be (-2)\/(-3) - g\/15. Solve d + 0 = -f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-324)*-45 + (0 - 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s. Let n(t) = -t**2 - 17*t + 15. Let a be n(-18). Calculate d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**3 - 9*g - 37. Let f(o) = -4*o**3 - 4*o - 19. Determine 5*f(s) - 2*h(s).\nAnswer: -2*s**3 - 2*s - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8 and -67\/13498432.\nAnswer: 13498432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) 0 (c) 2\/5 (d) -2\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9090211?\nAnswer: 13, 673, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 5*l - 3. Let o be d(3). Suppose 17 = v + o*s - 1, -5*v - 4*s + 57 = 0. What is the least common multiple of 12 and 42\/v*(1 - -2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164717337 a multiple of 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*v = 62*v + 16. Let g(b) = -16*b**3 + 7. Let h(t) = -8*t**3 + 3. Determine v*g(x) + 5*h(x).\nAnswer: -8*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-1\/58))*(h*h**26)\/h)\/(h**18\/((h\/(h**(-7\/9)*h))\/h)) assuming h is positive.\nAnswer: h**(4051\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-312) + (-30)\/26?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -146 + 134. What is the second biggest value in 2\/15, z, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - z**2 + 4*z + 2. Let m be a(-4). Let h be 6\/(-2) + m + 2. Let f = 149 - h. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 15 + (-6 - (1 + -4)) + 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2. Let g(k) = k**2 - k + 1. Let f(s) = 5*s**2 - 4*s + 4. Let h(d) = f(d) - 4*g(d). What is h(t(u))?\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(16)\/sqrt(288)) + (sqrt(136)\/(sqrt(8) + -5*sqrt(8)) + 2)**2.\nAnswer: 81\/16 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467746277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3 - 693*s**2 - 10896*s - 43328 = 0. Calculate s.\nAnswer: -677, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or -176?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-117)\/(-65)*(-1)\/(-3). Let p = 0.83 + -0.77. What is the biggest value in p, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 - 1)*(254*y - 130*y - 150*y + 4).\nAnswer: 182*y - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 25 = -0*v. Let l(o) = 18*o + 129. Calculate the remainder when v is divided by l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -898 (b) 4 (c) 9\/10 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981752?\nAnswer: 2, 122719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 944488?\nAnswer: -94448.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -656316 by -618.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186752 + 70062 - 590828 = -24134*a + 1947222 for a.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2028, 7773, 17352, 30765, 48012, 69093?\n\"Answer: 1917*z**2 - 6*z + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -193*o**2 + 8*o - 46. Let v(a) = 139*a**2 - 6*a + 33. Let k(b) = -25*v(b) - 18*w(b). Let j(d) = 2 - 3 + 5*d + 2*d. Let s be j(1). Calculate k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/3447222 and 61\/2042517?\nAnswer: 927302718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*h**2 + 16 + 4 + 32*h**2 - h**2.\nAnswer: -5*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -245\/2*i**2 - 2 - 16*i + 143\/12*i**4 + 1\/3*i**3. What is the first derivative of g(y) wrt y?\nAnswer: 286*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 145 + 0?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2335*v - 121432 + 25697 for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 + 1. Let d = -4 - z. Let r(p) = 10*p**3 - 2*p + 1. Let x be r(d). Does 10 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 555.\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(171) + 5 - sqrt(171)).\nAnswer: -9*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 14247 and -0.03.\nAnswer: 14246.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27785, 27793, 27803, 27815?\nAnswer: 27829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvdqdqvfvdqrdqm. Give prob of picking 2 v and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -124aa2 (base 11) in base 14?\nAnswer: -51add","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2838 and 8308116?\nAnswer: 91389276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 5*j - 5*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d - 100 = 2*a, -5*d - 5*a + 125 = 0. Calculate the lowest common multiple of d and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19\/1 + -3 - 0. Is 40\/g*332\/10 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 4*x + 3. Let q be i(-2). Solve 0*f = -5*b - f + 22, -q*b = -2*f - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 1683 = 12*n. Find the common denominator of (-2)\/(-6)*(n\/(-121) + 3) and 37\/65.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/7*(1 - 5). Suppose 24 = f*p - 2*b + b, p + b - 1 = 0. Solve p*l + 22 = 3*g, -2*g - 9 = 2*g + l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 2*g**2 + g - 1. Let n(j) = -28*j**3 + 12*j**2 + 6*j - 8. Determine n(c) - 6*r(c).\nAnswer: -22*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1541, 1558, 1575, 1592?\n\"Answer: 17*y + 1524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 + 13*a**4 - 212*a**2 + 63789*a wrt a.\nAnswer: -20*a**3 + 156*a**2 - 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1506 - -1511. Sort n, -9, 9 in descending order.\nAnswer: 9, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - g + 365 = 0, -4*h - 2*g = -h - 275. Let v = h - 284\/3. Find the common denominator of ((-5)\/(-4))\/(9\/44) and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 5*l + 55 = 0, -4*z - 3*l = -44. Suppose 3*k + 1 + z = 0. Let p(h) = h**3 + 4*h**2 - 2*h - 1. Let a be p(k). Solve -o = a - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.96 - 8.16. What is the nearest to 46 in 2, 0, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 39 - 143. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(6\/5)*g)\/g*g)**12\/((g**11*g*g)\/g**5))**(-1\/43) assuming g is positive.\nAnswer: g**(-8\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**3\/6 + 13*k**2\/2 + 7*k. Let y be c(-9). Let x be (-4)\/y - (-91)\/77. Is x >= 1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 36*p - 46. Let x be h(-19). Let j be -5 + (4*79190)\/x. Round j to the nearest one thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-33)\/l)\/l)**(-28) assuming l is positive.\nAnswer: l**980","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -120*p**5 - p**2 + 54*p wrt p.\nAnswer: -7200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7620*v**3 - 114302*v**2 + 31*v - 24. Determine z(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 299263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + t + 9. Let g be c(0). Let r be g\/(-4) - (-2)\/8. Let y(q) = -q**3 - 2*q**2 + q + 2. Let h be y(r). Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -96272097322?\nAnswer: -96272097322.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = z - 0*z - 69, -5*z - 2*u = -359. List the prime factors of z.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 + 10 = 0. Let z = m + 22. Let v(r) = r**2 + 4*r + 2. Let l be v(-4). Put z, 3, l in decreasing order.\nAnswer: 3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzsz when four letters picked without replacement from {z: 3, s: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*j**2 - 405*j**2 + 133*j**2 + 138*j**2 - 3*j**3.\nAnswer: -3*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 31*b - 372 = 0. Solve b*c - 5 = -5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r**3 - 3192*r**2 + 3192*r**2 + 47*r - r**3 to s*r**3 + q + c*r + m*r**2 and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 10*c + 13*c**2)*(-5*c**2 - 6*c + 6*c) + 6*c**2 - 6*c**2 + 5*c**4.\nAnswer: -60*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41110432?\nAnswer: 2, 11, 116791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*s + 2*w, -4*w + 8 = 3*s + 20. Let v = s + 158. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0559 + 5\nAnswer: 4.9441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 3*w + 0 - 3*w**3 + 10*w**3 + 6 - 9*w**3. Let r(f) = -5*f**2. Give r(t(m)).\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 8120634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 h when three letters picked without replacement from {b: 6, g: 2, h: 3, a: 8}.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*l - 2*i - 136, 5*i = 4*l - 89. Let d = l + -10. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f - 1792. Let y(v) = 8*v + 32. Give 160*i(o) + 5*y(o).\nAnswer: 40*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - j + j + (-j + 3*j + 0*j)*(-2*j + 0*j + 0*j) + 1 - 1 + 2*j**2 + (0 + 3 - 5)*(-2 - j + 2)*(2 - 2*j - 2).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299819 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) -66 (c) 8 (d) 4 (e) -40 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*sqrt(1377))**2 + -3.\nAnswer: 1371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by 25.\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 7*p + 2. Let g be d(-7). What is the second derivative of -4*i + 3*i - 4*i**g + 3*i wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979047 is divided by 123.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1030, -938, -824, -688?\n\"Answer: 11*t**2 + 59*t - 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - (-14 - (-55 + -2) - 25).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 75700?\nAnswer: 151400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.00198 + 363.90198. Let h = i - 364. Which is the nearest to h? (a) 0.4 (b) 1\/9 (c) -2 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4927?\nAnswer: -4927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8344 and 448.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22510*n**2*p**5 - 7*n**2*p + n*p + p - 17 wrt p?\nAnswer: -450200*n**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 6 - 37*k - 2 - 2)*(25 + 23*k - 25).\nAnswer: -874*k**2 + 46*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 4*q**2 - 7*q. Let w(u) = -5*u**3 + 7*u**2 - 13*u. Calculate -7*s(x) + 4*w(x).\nAnswer: x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d + 3*o - 10 = 0, -d = 4*o. Solve -3*w - 20 = -2*q, w + d = -0*w + q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903858 is divided by 74.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5436\/(-4530))\/(2\/20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -229\/3 + 77. What is the closest to z in -4, 1\/4, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 33, 64, 115, 192, 301, 448, 639?\nAnswer: 880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 24*m**2. Let o(r) = -70*r**2 + r. Determine o(j(z)).\nAnswer: -40320*z**4 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2512\/(-2016)*-14)\/(((-20)\/36)\/(-5)).\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 247409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from mmymmhmohohhmmhymmo?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = -4. Suppose 0 = 2*n - 3*n + 10. Suppose n = i + r*i. Calculate the highest common factor of 5 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(25)\/sqrt(5)))\/(sqrt(50)*-2)*-2.\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-3)*(272160\/(-6174))\/45.\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + -10001110100001001110110?\nAnswer: -10001110100001010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {e: 2, f: 1, h: 1, l: 1, z: 1, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 - 11*j + 27. Let v be t(7). Let o(a) = a**3 + 2*a**2 - 3*a. Let r(n) = n**3 + n**2. What is v*o(z) + 2*r(z)?\nAnswer: z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 268, 969, 2148, 3805, 5940, 8553, 11644?\n\"Answer: 239*f**2 - 16*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 28 = -47 - 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 3*a**2 + 2*a**2 + 10*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7221596 plus 0.773147?\nAnswer: -7221595.226853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28137 + 14924 = 181*p for p.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(16536\/16))\/(2\/6).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 13. Let g be 0 + (-12)\/(-2) + (n - 4). Solve g*x**3 + 9 + 7 - 21*x + 6*x**2 - 4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*m + 4. Let g be (-1 + 1)\/3*-1. Suppose 4*f - m*d + 9*d - 57 = g, d + 11 = 2*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19615 by 127.\nAnswer: -19615\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 - 33302032303?\nAnswer: -33302033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38527 + 38408 = 5*x - 11*n, 0 = -4*x - 4*n + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(21)\/(sqrt(7) + 4*sqrt(14)\/sqrt(2)) - sqrt(36)\/(sqrt(192)*-1 - sqrt(192) - sqrt(12))) + -2.\nAnswer: 14*sqrt(3)\/45 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*k**2*o**2 - 4*c*k**2*o*t + 23*c*k*o**2 - c*k*o*t - c*o*t + 2*k**2 + 2*k*o**2*t - 9*t wrt o.\nAnswer: -4*c*k**2 + 46*c*k + 4*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Let u = 80085 + -80084. Sort -2\/63, l, u, -0.3 in decreasing order.\nAnswer: l, u, -2\/63, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70895891 rounded to three decimal places?\nAnswer: 0.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-2) + (1 - -2). What are the prime factors of (-2 - (y + -1))*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3666*d - 3663*d - 1931 = -2*u, 0 = 2*d + 3*u - 1279. Calculate the remainder when d is divided by 52.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-61)\/(671\/110))\/(2\/(-164953)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11 + -6.89. Which is the nearest to -1? (a) 0 (b) f (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18550*x**3 - 4*x**2 + 113*x + 12 wrt x?\nAnswer: -111300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 304 - 61 = 0. Is 12 a factor of (-2)\/(-9) + (-1926)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31747 - 6464 - 39931 + 13682 = 3223*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1904 divided by -1904.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, 2, 23, 42, 53, 50?\n\"Answer: -x**3 + 8*x**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 4*s - a, -4*a - 166 = s + s. Let o = 55 + s. Let q = 48 + o. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 398 + -397.7172. What is q rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 30 = 2*m, 5*m - 2 = -4*g - 7. Solve g*w = 2 - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - b + 207606 = 0, -5*x - 634*b + 639*b = -259545. List the prime factors of x.\nAnswer: 3, 73, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1270152 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k. Let s = -5 - -9. Suppose k = 4*f + s, -4*t - 4*f - 350004 = t. What is t rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 4 + (-1 + sqrt(3))*-6.\nAnswer: -2*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-15)*(-36)\/(-48))\/(-1). What is the fourth smallest value in 3\/8, 4, y, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -6*w - 66. What is the least common multiple of 105 and p(-39)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let g = -277 - -285. Suppose -g*m = -3*j - 7*m - 1, j = 4*m - 4. Solve 2 + j = -f*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/2)\/((-6)\/4) + 3. Let o(b) = -b**2 - 5. What is o(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 255 + -263. Let w be 1\/8*2 + (-38)\/t. Solve -l - w + 1 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 10*o**3 - 3001*o**2 - 63700*o + 6400 = 0.\nAnswer: -20, 1\/10, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 + 37*p**3 - 19*p**3 - 17*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 7 = 0, 309*j - 313*j + h = 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-47)*v)**(5\/4))**(-2\/95))**50 assuming v is positive.\nAnswer: v**(1125\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -50 (b) 3\/2 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = 42. Suppose -i*h = -5*h - 9. Suppose -h*f + 914 = -217. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (11 - 13)\/((-6)\/(-8) + 1). What is the fourth biggest value in 0.3, p, 0.2, 1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 1:35 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 25 (c) 1801 (d) -3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3822 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*6\/15 - (-56)\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8977 + -8981. Which is the second smallest value? (a) y (b) 3\/19 (c) 4\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 288, 433, 578, 723, 868, 1013?\n\"Answer: 145*c + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 361456 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -125*z - 15*z**5 + 125*z - 1 + 1 + 2*z**5 + (-1 + 1 + 2)*(2*z**4 - 2*z**5 - 2*z**4).\nAnswer: -17*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23373714941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -n - 2*n. Let r = 6 - n. What is the third smallest value in r, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106326974899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2 + 7*l**2 + 13*l + 7*l**3 - 8*l**3 + 0*l**3 - 24*l. Determine k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -81*z**2 - 61*z**2 + 139*z**2. Let d(a) be the third derivative of -13*a**5\/60 - 6*a**2. Give g(d(w)).\nAnswer: -507*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379 - 349. Let x = -382 - s. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + 5*4*sqrt(612) - sqrt(612)) + -3 + -3*sqrt(612))**2.\nAnswer: -612*sqrt(17) + 176877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 16. What are the prime factors of u(-17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373a (base 13) in base 11?\nAnswer: 25377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Let f(b) = 2*b**2 + 7886878*b. Determine f(a(s)).\nAnswer: 8*s**2 + 15773756*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274.10586 rounded to one dp?\nAnswer: -1274.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 26*h + 1. What is the units digit of a(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1765 + 1765. Sort 1, i, -2\/3, -2\/11 in descending order.\nAnswer: 1, i, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 2 = -6*c, h + 5*c = 47. Suppose 0 = -h*w + 60*w + 3. Let s(q) be the third derivative of q**6\/60 - q**5\/60 + q**4\/24 + q**3\/6 - q**2. Give s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1976 divided by 247?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -97361\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppiip. What is prob of picking 2 i and 1 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/7 and 6\/16*2\/1.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 622 - 632. Let z(i) = i - 1. Let p(m) = -12*m + 6. Give t*z(g) - p(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5017 and 3248?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009509 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b - 29*b - 9*b + 9*b in the form j*b + l and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -528 + 17419\/33. Let q = t - 13\/11. Is q bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqzz when four letters picked without replacement from {d: 2, q: 1, z: 2, k: 1, p: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i = 166 + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28707 (base 14) to base 11\nAnswer: 69288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(1660*n**2 + 576*n**2 - 511*n**2).\nAnswer: 1725*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -2\/5 (c) 1\/3 (d) 5 (e) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -334*r - 615*r - 333*r - 472*r to the form o*r + i and give o.\nAnswer: -1754","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**3 + 4*t**2 + 4*t + 4. Let j(b) = 11*b**3 + 7*b**2 + 7*b + 7. What is 3*j(s) - 5*o(s)?\nAnswer: 8*s**3 + s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11566 - -0.08434. Let f = -0.2 - -0.13. Let y = f + 5.07. Put 2, y, -3\/2, u in decreasing order.\nAnswer: y, 2, u, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334921 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0027*12.\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 7. Suppose 49 = 5*w + 14. Let f(x) = -2*x + 8. Let y(p) = w*c(p) - 6*f(p). Let a be y(-1). Let k(m) = m + 4. Calculate k(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 11*d + 2. Determine m(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/5 + 20*b**4 + 18*b**3 - 80*b**2 - 392*b\/5 = 0 for b.\nAnswer: -49, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 + 12*z + 3. Let s be h(-2). Which is the second biggest value? (a) 0.1 (b) -3 (c) -1\/15 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 1:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 7*y - 248 = 0. Let d = 312\/5 - y. Find a such that 2\/5*a**2 - d - 8\/5*a**3 + 8\/5*a = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z*z)**(2\/21)\/((z*z**(-1))\/(z*z**(-1\/4)))*((z**(-2\/5)*z)\/z**(-1\/6))\/(z*z**(5\/4)*z*(z*z**(-3\/5))\/z*z) assuming z is positive.\nAnswer: z**(-662\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 3*a**2 + 2*a**2)*(3*a + 3*a - 5*a) - a**2 + a**2 + a**3 + 205*a - 205*a - 53*a**3.\nAnswer: -50*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**33 assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -2\/4805, 10, 5, 24 in ascending order.\nAnswer: -1\/7, -2\/4805, 5, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, 18, 31, 42?\n\"Answer: -c**2 + 18*c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 13. Let c be t(11). Suppose -4*k = -c - 0. Solve -k*h = -21 - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 20 = -3*u. Factor -2*t**2 + u + 6*t + 3*t**3 + 2*t**2 - 5*t**3.\nAnswer: -2*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 5 - 4)*(0 + 0 - 4*l)*(2 - 2 - 2) + 31 - 31 - 25*l.\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17568106571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-1))\/3*(-2)\/(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 11:53 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -2\/7 (b) 0.2 (c) 5 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1347354168?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t - 1. Let i be j(-2). What is the greatest common factor of i and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let i(m) = -120 + 368 + 441*m - 120 - 128. Give w(i(k)).\nAnswer: -194481*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) 0 (c) 3\/191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - 3*q + 2*q)*(2 - 6 + 3) - 3 + 3 - q to x*q + k and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ooocooccooccoo.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -8*h + 24. Let i(k) = h*k + 16*k + 2*k. Let c(r) = -r. Calculate i(c(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-71)\/1278)\/(2\/3).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51461\/20 - 9637\/4. Let m = v + -165. Which is greater: m or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)*-2*-1)\/sqrt(11) - ((sqrt(110) - (sqrt(110)*5 + sqrt(110)))*6 + sqrt(110))\/sqrt(10).\nAnswer: 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/5988 and 97\/2500362.\nAnswer: 2495361276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1610?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 2. Determine a(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/144 + 11*p**5\/72 + 25*p**4\/72 - 58*p**2. Solve y(g) = 0 for g.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 - 4*d - 1. Suppose -28 = -3*q + q. Let x = q + -10. Give j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312817?\nAnswer: 17, 18401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/56 - (-72)\/7. Let u be (-4 + 2 - 0)*3. List the prime factors of -3*(k\/u - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.857513ns to minutes.\nAnswer: 0.00000000003095855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/5 - 2)\/(80\/(-400)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*s = 577 - 3447. Let o(g) = 5*g - 6. Let c(d) = -30*d + 35. Suppose 2*m - 6 = m. Give m*c(w) + s*o(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -430614*0.45.\nAnswer: -193776.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 7500.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118443056 - 118442935.0000159. Let r = v - 121. Round r to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -48400*g**3\/3 - 440*g**2 - 4*g + 1618. Factor t(q).\nAnswer: -4*(110*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/2735640 and -41\/17100?\nAnswer: 259885800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*3\/(-12)*14\/49?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 7:53 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/663312 and -83\/312.\nAnswer: 663312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -517 + 517 - 5*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/3 + 9632*v\/3 + 11596928\/3 = 0. Calculate v.\nAnswer: -2408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -98*h**3 + h**2 + 6*h + 1. Let o(y) = -6*y + 4. Let b be o(1). Is n(b) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -41?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psg when three letters picked without replacement from {s: 4, g: 4, u: 3, p: 8}.\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1069.62 from 175.\nAnswer: -894.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.2449mm in centimeters?\nAnswer: 39.72449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*t + 2152 - 2152 + (0*t + t - 2*t)*(1 + 3 + 0) + t - t - 2*t + (-3 + 0 + 5)*(2*t - 3*t - t).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5590 + 2?\nAnswer: -5588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.719514 - -0.70743. Let w = k + 8.01. What is w rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25694, 52676, 79658, 106640, 133622?\n\"Answer: 26982*u - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/4 - -269\/12. Which is the closest to 1? (a) 5 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 12*k**2 - 15*k + 8. What are the prime factors of f(-13)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(3\/((-6)\/4)). Let u be j\/((-9)\/(-2))*(-45)\/6. Suppose 2*a + 5*r = 7*a - 170, -3*r = u*a - 194. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 46*j**2 - 3*j**2)*(1 - 3*j**2 - 1).\nAnswer: -129*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3017 + 3251. What is the greatest common factor of 806 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -2*g**4 - 7*g**3\/3 + g**2\/2 - 11*g - 6. Let s(u) = 4*u**3 + 4*u**2 + 6. Let q(d) = -3*c(d) - 5*s(d). Calculate q(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(80) + -3 - sqrt(80))**2*-1 + -2*(sqrt(80) + -1)*1.\nAnswer: -8*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((8505\/28)\/(-15))\/(1\/4). Let u = f + 208. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*i = -24, 2*m + 0*i - 12 = -i. Suppose -7 = -m*g + 17. Suppose 2*c = g*c + 256. Round c to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 9*f. Let i(a) = -2*a**2 - 8*a - 2. Let g(q) = -2*q**2 - 8*q - 3. Let u(y) = 2*g(y) - 3*i(y). Determine 5*l(b) - 6*u(b).\nAnswer: -2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.37553 less than 3022?\nAnswer: 3077.37553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1 - m**3 - 2*m**3 + m**2 + 0*m - 2*m - 2*m**2. Let s be r(-1). Which is the second smallest value? (a) s (b) 0.5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 42*g - 152*g + 13 + 38*g + 37*g + 34*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/19))\/g**20)**38 assuming g is positive.\nAnswer: g**(-726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/3)\/(m*m**(-12)) assuming m is positive.\nAnswer: m**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 12:20 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 11095720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) -25755 (c) 0 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/14030 and -17\/451766?\nAnswer: 2258830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/((h*h**5\/h*h)\/h))**(1\/27) assuming h is positive.\nAnswer: h**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + j = -4*j - 25, -3*j = 5*t - 17. Suppose -4*g = -0*d + 4*d, 2*g - 5*d = 28. Solve g*z - b + 8 = z, b - 11 = t*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1012\/69 - 17)\/(14\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254269 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*3 - (6 + -7)*-5. Suppose 5*b + v*b - 72 = 0. Calculate the greatest common divisor of b and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 601151 - -2?\nAnswer: 601153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from ngggbgnnggnngnnzg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95, 190, 319, 488, 703?\n\"Answer: o**3 + 11*o**2 + 55*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -5, -11, 3 in increasing order.\nAnswer: -11, -5, -4, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((4 - 3) + ((-6 - 64) + 7 - 9))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204686 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 5*d - 2*u, -5*d - 31 = -9*u + 11*u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 15 - 13 = 0. What is the remainder when 26 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33048720.\nAnswer: 2, 3, 5, 197, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/10)\/((-4)\/360*2). Suppose -4*i = -4*h + b, 3*h + 0 = -3*i + 3. Solve 11 + 1 = -c + 4*u, 3*c - h*u + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4674378124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804280000 rounded to the nearest 1000000?\nAnswer: -2804000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80 - 63 + 159)*(2*g + 2*g - 3*g)*(-7 + 3 + 2)*(5 - 2*g + 6 - 13).\nAnswer: 704*g**2 + 704*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 41. Suppose -m + 96 = -0*m + t, -t - 3 = 0. Calculate the greatest common factor of x and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 69. Suppose -z + 18 = -5*o, 5*z + o + o - f = 0. What is the remainder when 22 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -17*w**4\/12 + 5*w**3\/2 + w**2 + 169*w. Determine s so that h(s) = 0.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44413.\nAnswer: 23, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -559240000 rounded to the nearest 1000000?\nAnswer: -559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) -33.36 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3494, 14100, 31778, 56528?\n\"Answer: 3536*o**2 - 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 times -126.876?\nAnswer: -5328.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*v - 12 = 0, w + 1 = -2*v - 2. Let a = 5 + w. Suppose a*s - 117 = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**4 + 3*y**3 - 4*y**2 - 27 wrt y.\nAnswer: -144*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-7)\/j)\/j)\/j)\/j*j\/(j**(-2\/5)\/j)*(((j**2\/j*j)\/j)\/j)\/j**7 assuming j is positive.\nAnswer: j**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6313, -6335, -6357, -6379, -6401?\nAnswer: -6423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*k - 44*k + 11*k + k**2 to z*k + s + p*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 2386453*d + 4772902.\nAnswer: (d + 2)*(d + 2386451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*((-60)\/(-135))\/((12\/(-2))\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*k + 64*k + 76 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -226*v**3 - v - 7. Let d(x) = 112*x**3 + x + 3. Give 7*d(b) + 3*t(b).\nAnswer: 106*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 3:01 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {q: 1, k: 4, u: 4, z: 1, w: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -282355 - -2092355. What is g rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6259\/16 + -391. Let q = c - 25\/48. Let r be (-3)\/2 - (-3)\/6. Which is greater: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*p - 3*p. Let c be (-12 + p)\/(-2 + 0). Is 5\/17 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6 - (-1)\/(-2))*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*g - 138 = -3*c, 0 = -3*c + 3*g + 78. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n**2 - n + 21. Let p(a) = -5*a**2 - a + 21. Let f(r) = 7*p(r) - 6*s(r). Let u be f(0). Solve -4 - 13 = -k + 5*y, 3*k - 5*y - u = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1 - 5.1. Which is the smallest value? (a) 2\/3 (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 5023 = 5131 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 45136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 33 + 33)*(h - h**2 - h)*(3*h - 4*h + 2*h).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(-g - g + 0*g)*(-12 - 2 + 4).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 9 + 9)*(-1 + 6 - 3) - t**3 + 3*t**3 + t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 204 divided by -41\nAnswer: -204\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(0 + 0 + r) + 3*r + 0*r - r - 3*r - 4*r + 3*r + 27*r + 337*r + 402*r + (1 - 3 + 3)*(4 + r - 4) to h + z*r and give z.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 108*z = -106*z - 10, -3*m = 3*z - 33. What is the remainder when 229 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 2*u - 20, 5*l - 41 = u - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyuyyu. What is prob of sequence yu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-2)*18\/396?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 20, 4*c - 3*j + 4 = 0. Suppose 3*v = -2*n + 7*n + 188, -c*n = 2*v - 104. What is the remainder when 107 is divided by v?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2141967 or 113524320\/53?\nAnswer: 113524320\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(539))**2*-3*-5 - (sqrt(539) + -3*(sqrt(539) + 0) + -5 + 5)**2.\nAnswer: 30184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**5\/120 - i**4\/12 - 113*i**3\/3 + 234. Let n(x) be the third derivative of g(x). Give n(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 3\/4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*c - 2. Solve 11*n = 12*n + c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57052 is divided by 111.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4950, -4676, -4402, -4128?\nAnswer: -3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 4, f: 2}. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 24. Which is the second smallest value? (a) -5 (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 20 - 28 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z. Let t be (4230\/105 + -41)*7\/(-2). Factor 5*x - 5\/2*x**3 + t*x**2 + z.\nAnswer: -5*x*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*f**3*g*m**2 + 7*f**3*g*m + 6*f**3*m**2 + 5*f**3*m - 14*f*g*m + 2 wrt m?\nAnswer: 650*f**3*g + 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 603766 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in seconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/4085 + 298208\/12255. What is the common denominator of t and 283\/(-63) - (-4)\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (6 - (-42)\/(-12))*-2. Solve 4*j + 10 = 3*f, -s*f = -j - 8 - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099962.\nAnswer: 2, 3, 53, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + w**2. Let d be h(1). Suppose -d*j + 10 = -v, 4*j - 4*v = 1 + 27. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 - -1) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -1cabdc?\nAnswer: -1cabd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 220528426161?\nAnswer: 220528426159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1633 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1477007.56 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 + 68*o**2 - 134*o**2 + 64*o**2.\nAnswer: 5*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 17*w**2 - 35*w - 6. Let u(k) = k**2 + k + 1. Let q(c) = -i(c) - 6*u(c). Find the second derivative of q(y) wrt y.\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398 divided by -199.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891 and 108256203.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 64984*p**2 + 3*p - 64988*p**2.\nAnswer: -4*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jzzj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1255273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017125 to 5 dps.\nAnswer: -0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + j**2 - 77 + 77 in the form u*j**2 + v + k*j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 9 = 24. Is 1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*u + 17*u + 2737 + 4539. Let a be (-5 + -1)*21\/(-2). What is the remainder when u is divided by a\/6*(-10)\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 2*b**2 + b. Let i be m(0). Suppose 0 = 2*g + 2*x - 6, 5*g + 4*x - 2*x - 18 = i. Let r be 2*(-1)\/g*6. Put 8, -4, r in ascending order.\nAnswer: -4, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1105007 + 11\nAnswer: 1105018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/224 and 13\/767136.\nAnswer: 5369952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s**2 - 3*s + 3. Give r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/1303604075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from tqrxrntxrxnjrnxtx?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r**4\/4 - 2107*r**3\/4 + 1318*r**2 + 961*r - 3024 = 0. What is r?\nAnswer: -16\/11, 2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215281.\nAnswer: 11, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51486 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24965\/7997 or -4?\nAnswer: -24965\/7997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 6*c**2 + 7*c - 7. Let d be w(5). Let x be 5400001\/(-6) + d\/18. Round x to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 801686511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, -5, 90, 9, 7 in decreasing order.\nAnswer: 90, 9, 8, 7, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)**(21\/4))**0*(b**(-7)*b\/((b\/(b*b**(-3\/8))*b)\/b))\/(b**(2\/5)\/b**4) assuming b is positive.\nAnswer: b**(-111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 16. Let k be a(-8). Solve -3*g = -k*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 4 (b) -2\/13 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 17892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-1)\/((-40)\/(-56))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287073.\nAnswer: 61, 37493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25662, -101972, -229154, -407208, -636134, -915932, -1246602?\nAnswer: -1628144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39346, 1290, 3, -3 in decreasing order.\nAnswer: 39346, 1290, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9 + 4. Let k = -257\/6 - -131\/3. Which is the nearest to -0.1? (a) k (b) -2\/11 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141\/131 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/6 and 2\/363.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1934620, -1934610, -1934598, -1934584, -1934568?\n\"Answer: i**2 + 7*i - 1934628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 + 32*l**4 + 52*l**3 - 328*l**2 + 382*l - 136.\nAnswer: -2*(l - 17)*(l - 1)**3*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 17*h**2. Let i(w) = 8*w. Let g(j) = 8*j. Let a(b) = 4*g(b) - 3*i(b). Give a(y(n)).\nAnswer: 136*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.7 (b) -17\/2365 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74535029141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 13*t + 0*t + t**3 - 21 + 11*t - 12*t**2. Let s be a(-12). List the prime factors of 4 - ((-4)\/(-12) + (-613)\/s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 16*o**4 + 452*o**3 + 3648*o**2 + 6292*o + 1352 = 0.\nAnswer: -13, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35535 + -285411\/8. Which is smaller: t or -140?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 7*z**2 - 14*z - 4. Let r be m(5). Sort 0, r, 6 in descending order.\nAnswer: 6, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 27*x**2 + 5*x - 6. Let j be c(-3). Let y be (-111)\/(12\/((-8)\/2)). Let h = y + j. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -0*a. Let k(c) = a - 3 + 1 + 2*c - 3. Suppose j + 3 = 2. Let s(t) = -1. Give j*k(p) + 6*s(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201478 = -323*o + 61*o. Calculate the remainder when o is divided by 381.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 5*t + 2. Give b(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -55*q - 1221. Determine z(-43).\nAnswer: 1144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -62*h**2. Let n(d) = 6*d + 6. What is i(n(u))?\nAnswer: -2232*u**2 - 4464*u - 2232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 6 - 7. Calculate the common denominator of 67\/8 and (-1390)\/900 + i\/6.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 181, 306, 419, 514, 585, 626, 631?\n\"Answer: -a**3 + 132*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 2, o: 5, u: 6, y: 3}. What is prob of sequence duyo?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4926?\nAnswer: 2, 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(6\/(-9))\/(6\/(-3)). Let a = -3 + -1. Let l be (-6)\/10*a\/(-6). Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1013 - 1011. Let z(k) be the second derivative of -2*k**l + 7\/6*k**4 + 0 + 11*k + 0*k**3. What is the derivative of z(i) wrt i?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33769 is divided by 3373?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - (-1 + 3)) + 45\/(-15). Let b be (-5)\/(w + -1 + 0 + -2). Solve -30 = c + b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 408 - 402. Suppose -5*h + 0 - 20 = 0. What is the smallest value in 3, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 7) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -530, 4.\nAnswer: -530, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(6) - sqrt(35))\/sqrt(5) - sqrt(7)) + (sqrt(21)\/sqrt(3))**2*-1 + -2.\nAnswer: -9 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let b = 3 + a. Solve b = -5*w - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 3*j + 11. List the prime factors of r(5).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l - 4*l - 20 - 8*l - 10*l. Let t be k(-5). Let u = 39 - t. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) -0.5 (d) 1\/44 (e) -8062 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 385726.6014058 - 385727. Let w = u + 0.3981. What is w rounded to 5 dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/84*(-24)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -30*p**2 + p**3 + 13*p**2 + 19*p**2 + 4*p + 3. Suppose -2*u = 2 + 2. Give d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u - 2*f + 83 = 0, -2*f + 53 = 3*u. Let i = -22 + u. What is the tens digit of (120\/21)\/((-2)\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*d = -16130, 7*c - 11*c + d + 64509 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 4*d + 112*d**3 - 18 - 45 + 67*d**3 + 69*d**3 + 61 to i + v*d + f*d**3 + n*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3986508?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 15*t + 10. Let q(c) = 5*c + 3. Let i(u) = -3*n(u) + 10*q(u). Suppose 118*o = 250*o - 88*o + 44. Calculate i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 13*q**2 - 15*q - 17. Calculate m(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31158.61 millennia in months?\nAnswer: 373903320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -162, -245, -332, -423?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -1 + 351. Suppose p = -5 - 8. Let o = p - i. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -1 + (-12)\/(-3). Let q(b) = b**2 - 3*b + 1. Let o be q(4). Solve 3*x + o = l*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*i - 4. Let j be i\/2 + (-106)\/(-4). Let w(d) = 7*d + 9. Let s be w(8). What is the greatest common factor of s and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-eight fifths of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 y when four letters picked without replacement from zyyyzzzymzmzzm.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*g - 26 - 20, 5*h + 208 = -2*g. Let w be (-24)\/(h\/(-16) - 3). Suppose -3*j = 2*q - 71 - w, -3*q = -j - 175. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 12. Let r(j) = -j**3 + 2*j**2 + 5*j. Let w be r(4). Let m(k) = -k**3 - 11*k**2 + 12*k + 6. Let x be m(w). Calculate a(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125845 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 977 divide 30800653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - u + 2. Let z(l) = 2*l**2 - l - 1. What is the remainder when a(-2) is divided by z(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 341 - 222. Suppose 3*c - 2926 = s. Suppose -9*a + 4*a + c = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cczc when four letters picked without replacement from {c: 10, z: 9}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.3, -4, -8551, -0.3, 4 in descending order.\nAnswer: 4, -0.3, -4, -9.3, -8551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 43 = a, 17*a - 3*y = 12*a + 181. Solve c - 8*c = a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42578 and 122.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 18040465*u**2. Let r(p) = -14*p**2. Give x(r(f)).\nAnswer: 3535931140*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 5*m + 2. Let v be f(-2). Suppose 31*u - 17*u = v. Solve u = -2*i + 25 - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5.4. Let t = 3 - 0. What is the third biggest value in -2, t, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a**4 - 274*a**3 - 16*a + 127*a**3 + 123*a**3 - 36*a**2 = 0. Calculate a.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 15*x**2 - 6*x**2 + 4*x**2.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**8\/560 + i**6\/120 - 2*i**3\/3 - 7*i + 95. Let m(n) be the third derivative of a(n). Factor m(y).\nAnswer: -3*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-21)\/(-6)) + 2. Is 3\/((-12)\/(-53))*r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -327 - -310. Let n = -16.9 - x. Let c = 0.6 - 0.1. What is the closest to n in c, 5\/2, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7 + -9 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2489613682 to the power of 1\/4, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {a: 3, f: 1, p: 3, n: 13}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-20)*(-4)\/36*-6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -1, -0.6, 277477 in decreasing order.\nAnswer: 277477, 0.03, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24884453, 24884461, 24884471, 24884483?\nAnswer: 24884497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*z + 3. Suppose 3*l - 104 + z = -5*c, -4*c + 82 = 5*l. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1885194 and 2513592.\nAnswer: 7540776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s**2 - 3*s - 1. Calculate n(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 28 = 2*o. Solve 0 = -o*p - 3 + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 - 4*q + 10. Let x be z(-7). Suppose 4 = 2*p - 0*p. Let o be 52\/(-8)*(0 + 0 + p). Is x smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:43 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 5*u - 10, 0 = -k + u + 6. Let v(y) = 7*y + 7. Let j be v(7). Calculate the remainder when j\/(-10)*15\/(-6) is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 12. Let k be w(21). Suppose -5*j = -k - 1. What is the third derivative of 37*u**5 + 7*u**5 + 11*u**2 + 32*u**j wrt u?\nAnswer: 2640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951459, -1902878, -2854283, -3805668, -4757027, -5708354, -6659643?\nAnswer: -7610888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 115. What is s(18)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9617170 divided by -2\nAnswer: 4808585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 11:10 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 37*l**2 + 31*l + 181. Let p be f(36). Let z(r) = -r**2 + 4*r + 7. Let x be z(-2). Let y(c) = 2*c - 2. Let v be y(-4). Sort -2, x, v, p.\nAnswer: v, x, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 484693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/8202 and -38\/6835.\nAnswer: 41010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/11*(-572)\/520.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + u**4 - 3*u**4)*(u - 2*u + 2*u) + (3 - 3 + 3*u)*(-4*u**3 + 4*u**3 + u**4).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 542c6 - 5?\nAnswer: 542c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-15))\/((44\/20)\/(-1) - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + 5 + (-20 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 782*x - 21051. Let n be s(27). Suppose 0*r + 630 = 2*r. What is the highest common factor of r and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 14*n + 17. Let f be k(-13). Solve 0 = 7*o + 10 + f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*v - 273 = 0, -5*g + 2*v = v - 715. Suppose -146*p = -g*p. Let w be (-2 - p)*-2 + 0\/(-1). Sort 8, 2, w in decreasing order.\nAnswer: 8, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71d1 (base 14) to base 11.\nAnswer: 13797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12943 is divided by 6381.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -9\/4 in decreasing order.\nAnswer: 1, 0.1, -9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 65846939.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4 + 67131*v**3 - 402705*v**2 + 604029*v - 268452 = 0?\nAnswer: 1, 4, 22371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 18 + g**3 - 26 to s*g**3 + h*g**2 + i*g + b and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*o + 20, -3*h + 5 = 4*o - 21. Suppose -105 = c - h*c. Suppose 27*r - c*r = 414. Which is smaller: r or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*-3*13\/65. Which is the biggest value? (a) 0 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, w: 1, m: 3, l: 2, f: 1, n: 1}. Give prob of sequence wm.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 2. Let y be -2 - (-12)\/8*2. Let t be 1\/1 + 2\/(-1). Let h be (y\/t*2)\/1. Determine k(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + (4 - 4 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Suppose -3*z = -5*z + m*w + 119, -z - 4*w = -87. Let n = 403\/6 - z. What is the biggest value in -0.5, n, 1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -366, -147, 304, 1065, 2214?\nAnswer: 3829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-300)\/(-15))\/(-20)*3*2\/183.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -274, -325, -360, -373, -358, -309, -220?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9329785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -22. Let k = 9 - h. Suppose -15 + k = -3*o. Solve o*x = 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-12 - -22 - -13) + -88 + -1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 86815125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 + (1 - 3). Let m = -76 - -74. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -26\/3 + 76\/9*z + 2\/9*z**2 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - l**4 - 6*l**4)*(1 + 1 - 4) + 0*l**4 - l**4 + 2*l**3 + 3*l**4.\nAnswer: 14*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388) - 3*sqrt(3388) - (-1 + 3*sqrt(112)))*5)**2.\nAnswer: -2800*sqrt(7) + 548825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - j + 1. Let b(x) = 49*x**2 - 13*x - 3. Determine -b(a) - 2*o(a).\nAnswer: -47*a**2 + 15*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 - 4*x + 4. Let p be v(-2). Suppose 3*q - w - 7 = 2, -1 = p*q + 3*w. Let g(o) = 3*o - 4. Determine g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, -0.9, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*p - 16, 4*p + 0*p - 24 = 4*w. Let o be (-332)\/(-20) - p\/(-5). Suppose 0 = 4*t - 121 + o. Solve 4*j + 6 = -b + t, -2*b + 5 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21135 + -20360. Calculate the least common multiple of 275 and t.\nAnswer: 8525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*v + 98*v + 534*v - 287*v + 17 as h*v + l and give h.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 46*p**2 + 3*p + 837. Let w(s) = 5*s. What is w(r(o))?\nAnswer: 460*o + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*z**2 + 31*z**2 - 54*z + 140*z**2 wrt z?\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 - (-6 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 18 = -3*o + 8*o, -o - 2 = -d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -110 in ascending order.\nAnswer: -110, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47*b**3 + 2*b**2*u**2 - 4*u**2 + 36*u wrt b?\nAnswer: 141*b**2 + 4*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -69.43. Let m = j + -4.5699602. What is m rounded to six decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 361192.29, 2\/7, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a0 (base 14) to base 11.\nAnswer: -4257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c, -h + 13*c - 9*c = 6. Put 51, -1, h in descending order.\nAnswer: 51, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7125 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n*((n**4*n)\/n)\/n)\/(n**2)**(10\/17))**(6\/11) assuming n is positive.\nAnswer: n**(-324\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-4)*12*(-2)\/(-9). Let o(v) be the second derivative of 3*v - 1\/2*v**3 + v**2 + 0*v**d + 1\/20*v**5 + 0. Factor o(z).\nAnswer: (z - 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 12:43 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -480 + 291. Is a at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(1\/((-15)\/(-54)*6*30\/(-5))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - s - 6788 = 3*s, 4070 = 3*t - s. Let a = -742 + t. List the prime factors of a.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(5) + 0 + (sqrt(5) + 0)**2.\nAnswer: sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 6. Let z = -2.7 + -0.3. Let m = a + z. What is the nearest to 0.1 in -0.1, m, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/834670 and 45\/23?\nAnswer: 834670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 + 0 + 0. Suppose 3*g - 7 = -v*r, -3*r + 0*g + 4 = -2*g. Let m(q) = -q**2 - q + 1. Let z be m(r). Let f(p) = p + 1. Give f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 117*p - 2 - 344*p + 110*p - 6 + 110*p. Let q(y) = -3*y. Give r(q(c)).\nAnswer: 21*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3*t)*(170*t**2 + 165*t**2 - 336*t**2 - 2*t - 36) to the form i*t**2 + q + b*t**3 + f*t and give f.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 29*j**2 - 76*j + 14. What is the remainder when 1431 is divided by s(-12)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2. Let o(y) = -492*y + 3. What is k(o(p))?\nAnswer: -242064*p**2 + 2952*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4134 by -318.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 465347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 196*s**2 - 13*s - 6. Is i(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {g: 3, n: 3, v: 2, r: 5, z: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 217\/49 - 375544\/(-265811)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 10\/6)\/((-537262960)\/(-33578940) - 16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3993 > 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -12 + 11, 3*r = 3*i - 333. What is the remainder when i is divided by 89?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 845377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 23*w**2 - 8*w + 2. Let n be b(3). Suppose -2*v = 3*k + 95, -5*v - n = -v + 5*k. Let p = 42 + v. Solve -p*z - 3*z + 4 = 4*i, 3*i + z + 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**2 + 5*o. Let q(r) = -2604*r - 15 + 15 + 2604*r + 5*r**2. Give q(l(d)).\nAnswer: 845*d**4 - 650*d**3 + 125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -26*f**2 + 1750*f + 77. Calculate q(67).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (188 - -1) + -10*(-6)\/(-12) and 12.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10104?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**5\/10 + q**4\/6 + q**3\/6 + 12*q + 101. Let x(p) be the first derivative of b(p). What is x(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 - b + 1. Suppose 2*l - 4 = -w, -13 + 5 = -l + w. Suppose -5*p = -15, l*p - 7 - 7 = -2*i. What is the remainder when 17 is divided by o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.5 - 10.499959. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/5 + 13342*y**2 = 0.\nAnswer: -66710, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1365\/70*44\/1573.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 2*s - 49, 29 = 3*o - s. Calculate the common denominator of 195\/18 - o\/(-12)*1 and 5\/102.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 7. Let n = x + 10. Suppose 26*t - 2 + 200 = -10. Which is the third biggest value? (a) n (b) t (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 603?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**3 + 14*i**3 - 57*i**3 + (0 - i + 0)*(-2*i**2 + 0*i**2 + 4*i**2) + 27*i**3 + 53 - 53 in the form a*i + s*i**3 + z + g*i**2 and give s.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + c - 1 = 0, n + 5*c = -12 - 2. Let x(d) = 6*d**2 + 6*d + d**3 - 1 + n. What are the prime factors of x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*o**3 - 4*o**2 - 272*o.\nAnswer: -60*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/15)\/((-18)\/(-45)). Let m be (3\/u)\/((-6)\/(-32)). List the prime factors of 10\/m*(-6976)\/(-80).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21 and 29857130.710695?\nAnswer: 29857109.710695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 541346193 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 493, 1116, 1989, 3112?\n\"Answer: 125*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -140, 20, 470, 1354, 2816?\n\"Answer: 24*d**3 + d**2 - 11*d - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 535 and 9951?\nAnswer: 49755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17145721.5 rounded to the nearest one hundred thousand?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 9*k - 13. Calculate a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.68 < -112126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3527*h + 65076 - 167359 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:42 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j - 751 + j**2 + 371 + 374. Let s(m) = m**2 + 10*m + 15. Let r be s(-6). Let z = r + 15. Let i(b) = b**2 - b - 1. Calculate z*i(w) - h(w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4925*s - 4925*s - 1007675*s**2 - 160182*s**2.\nAnswer: -1167857*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2 - a**2 - 1424*a + 1424*a. Let v(n) = -n**3 - 18*n**2 - 9*n + 13. Let s(f) = -6*m(f) + v(f). What is the second derivative of s(t) wrt t?\nAnswer: -6*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 33, 51, 69, 87?\n\"Answer: 18*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.83 - 22. Let i = p - -0.3. Put 3, -1\/10, i in decreasing order.\nAnswer: 3, i, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/4 + 19*h**3\/2 - 273*h**2 - 1499*h. Solve l(s) = 0 for s.\nAnswer: -26, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -1280496\nAnswer: -1\/53354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(17))*-2 + (-4*(1 + sqrt(17))**2 - sqrt(17) - sqrt(17)) + sqrt(1700)*2 + sqrt(17).\nAnswer: -84 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(66))\/sqrt(6)*-4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.143880965 to 4 decimal places.\nAnswer: 1.1439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1170 and 39000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445, -429, -395, -337, -249, -125, 41?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3\/4, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252787*d**5*t + 2*d**4*t - 39*d + 176146*t wrt d.\nAnswer: 5055740*d**3*t + 24*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 740966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14421089 to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/((-8)\/(-12140)*5). Let h = u + 34224. Suppose 9123 = -6*f - h. Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15 + -0.95. Let v = g - -1.3. Which is the second smallest value? (a) v (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 30*r = -26 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k. Let o = -1 + 5. Let f be o\/18 - 700\/(-90). Let r(y) = -y + 4*y + 0*y - f*y. Calculate r(j(n)).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:06 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 32. Let v = i + 10. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7}. Give prob of sequence mmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from oppoqqoppoop.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 4:27 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25460848 is divided by 620995.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let j(b) = 6*b - b + 2*b - 4*b - 3. What are the prime factors of j(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 37007187145518 from -0.5.\nAnswer: -37007187145518.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -12*j + 7\/2*j**4 - 6 + 0*j**3 - 6*j**2. Let n(q) = -q**3 + q + 1. Determine 12*n(h) + p(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/6*(-32)\/88*-2. What is the closest to -4\/11 in x, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 10:42 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h - 1. Let q(b) = 4 - 50018*b + 25010*b + 25021*b. Give 9*l(o) + 2*q(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001111000101 - 100?\nAnswer: 101111001111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -360710 divided by 96.\nAnswer: -180355\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/(-132) - (-3)\/2. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133892527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) 0.09 (c) -38 (d) 4\/9 (e) 81\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11022110102 (base 3) to base 11\nAnswer: -58871","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400358, 1601254, 3602748, 6404840, 10007530, 14410818, 19614704?\nAnswer: 25619188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 43*i + 209, -2*n + 43625*i + 4 = 43624*i + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + z**2 + 6*z**2 to the form k + i*z**2 + g*z and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 4, r: 1, a: 2, i: 1}. What is prob of sequence uar?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 2*c**2 - c + 12. Let o be b(0). What is the remainder when 41 is divided by o - ((-4)\/(-8))\/(3\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -372 and 1.9.\nAnswer: -706.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cic when three letters picked without replacement from icoiioiooiciiiioioi.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/(-266))\/((-9)\/12*1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220 - 216. Suppose -l*q + 1279 + 2141 = 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:17 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s + 4*a = -73, s + 2*a = 23. Let v = 22 - s. Suppose -v*u - 22 = n - 107, -216 = -3*n - 2*u. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -1527?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - (25 - (-16 - (-14 + 19)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 841 + 216 = 0. Suppose -n = -5*b + f, 3*b - 112 = -4*f - 26. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0106786433 rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**2 + 25*i**2 + 12 - 17. Let y(c) = 3*c**2 - 3. What is 5*y(r) - 3*z(r)?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1480986, -2962042, -4443098, -5924154, -7405210?\nAnswer: -8886266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 10*u - 14. Does 14 divide i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, 31, -0.3, 0.07, -1274, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120120034 (base 5) to base 10.\nAnswer: -551269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 1 = 4*y - a, -39 = -5*y - 3*a. Factor 2\/3*x**2 + y - 4*x.\nAnswer: 2*(x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 2*p. Suppose 3*y - 4*d + 198 = 148, 0 = 4*y + 3*d + 150. Let g(u) = -u - 21*u**2 + 6*u + 10*u. Calculate y*f(j) + 4*g(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(20\/(-20))*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 8, g: 2, d: 5}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.9157446 to two decimal places.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 80577699 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 110, 198, 334, 530?\nAnswer: 798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3542, -14397, -32498, -57845?\n\"Answer: -3623*w**2 + 14*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - z + 22, 2*f - 22 = -2*z - 6. Find the third derivative of -45*k**6 - 16*k**2 + 35*k**6 - f*k**2 wrt k.\nAnswer: -1200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-14) + 28\/(-98). Let p = -2 - -20\/9. Which is the nearest to w? (a) 4 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (1184 + -1210 + (55 - 0)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1710098.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**2 - 8*y - 2. Suppose -47 - 1 = -8*h. Let c(s) = -7*s**2 + 7*s + 2. Give h*c(q) + 5*a(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwpjjjwwwwwpwjws. What is prob of picking 1 w and 1 s?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 81485*a**3 - 81424*a**3 + 162823*a**3.\nAnswer: -86*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53073347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -355089 by -3.\nAnswer: 118363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/((-6)\/(-1491)))\/(9 + -8). Let x = y - -866. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000370221 rounded to 6 decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1103 + -918?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9*o - 42 = -5*o, -3*o - 26 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -24, 0.2, 5, 1\/2, -1\/40 in descending order.\nAnswer: 5, 4, 1\/2, 0.2, -1\/40, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 3 (c) -2 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 227103 + -119002. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*y - 199*y + 36 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 17 - 5, l + 10 = 3*x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -23*b - 19. What is the units digit of (-12)\/(-2) + b + 1261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 82054*n - 215. Let f(y) = -27352*y + 71. Let a(r) = -11*f(r) - 4*h(r). Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2. Let u be ((-4)\/(-7))\/(12\/42). Let w(b) = 2*b - 2. Let m be w(2). Let j(o) = -o - u*o + m*o. Calculate j(h(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32185787 is divided by 213.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jv when two letters picked without replacement from vjvjvv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-6)\/8). Let g = r - -6. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 195053983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 963, 1682, 2401, 3120, 3839, 4558?\n\"Answer: 719*f + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqoksbsqsbbobobq. What is prob of sequence skq?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -18*o + 26*o + 22*o. List the prime factors of i(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 14) to base 11\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -4. Suppose 3*h + 420 = c*h. Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493 + 999 = -57*n - 1472 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -11)\/(3\/(-15)*-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/15)\/l**(-11))**(-21) assuming l is positive.\nAnswer: l**(-1183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e5e - -1?\nAnswer: 1e5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 3*n - 2. Let u be i(1). Suppose u*y - 57 = y. Let t(w) = -w**3 + 19*w**2 + 2*w - 4. List the prime factors of t(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 39*u - 3. Let f(r) = -7*r - 36. Let y(t) = 63*t + 315. Let w(h) = -35*f(h) - 4*y(h). Calculate w(i(b)).\nAnswer: -273*b + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = j - 77*g, 0 = 3*j - 3*g - 16143 + 16134 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, q: 2}. What is prob of picking 1 q and 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 925, 1843, 2747, 3631, 4489?\n\"Answer: -b**3 - b**2 + 928*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-18 + 13 - -4) - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(-6 + 2 + 2). Let y = p + 8. What is the lowest common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -70388 and 214.\nAnswer: -70174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + 13. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*d - 440 = 2083 + 657 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 33669 = -46515 + 191304. List the prime factors of m.\nAnswer: 3, 7, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p - 2. Let u(b) = -b**2 - 6*b + 2. Let a be u(-7). What is the units digit of i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 7*v + 2. Let h be n(-7). Suppose 3*a - 4*w = 11, 3*a - h*w + 12 = 5*a. Suppose -a*o + 2103 = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 1 (b) 2.6 (c) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (46 + -54)\/(2\/(-1496)).\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6510545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.23 - 0.23. Which is smaller: n or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**4\/12 - 229*i**2. Let q(n) = -326*n**2. Calculate q(o(h)).\nAnswer: -1304*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 16. Let a(k) be the second derivative of k**5\/20 - 7*k**4\/12 + 7*k**3\/6 - k**2 + 2*k. Give a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001416 rounded to seven decimal places?\nAnswer: 0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*g - 10*n + 5*n, -3 = -n. Suppose -9*h + 12*h + 3813 = g. Let r = h - -2248. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)\/n**(-2)*(n**(-3))**(-18\/7))**(1\/55) assuming n is positive.\nAnswer: n**(762\/4235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 9*q**2 - q + 15. Let l be x(9). Suppose -4*y = -3*k + 3, -3*k = -y - 2*y - l. Let z(n) = -n**2 + 5*n - 5. What is z(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -32. Solve 0 = b - 2 + k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/351, -5, -3, -1\/2, 5\/4, 152?\nAnswer: 2\/351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -3 (c) -0.12 (d) -472 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/221? (a) -10 (b) -20\/3 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.57 and 0.056648.\nAnswer: 0.31552936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16636 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-38)\/3)\/((-52)\/78). Solve -2*c - 5 = -w, d*c = 16*c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 5, y: 1, q: 8, u: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1))**(1\/5)*k*k**(-2\/23)*k*k**2)\/((k**1\/k)**(-7))**9 assuming k is positive.\nAnswer: k**(90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p - 3*h + 6, h - 58 = 5*p. Let i = p - -26. What is the smallest common multiple of i and (-142)\/(-10) - 1\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ca (base 13) to base 9.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/3, 2\/7, 282463 in ascending order.\nAnswer: -5, 2\/7, 2\/3, 282463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 449.3808 millilitres in litres?\nAnswer: 0.4493808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 24341434?\nAnswer: 24341431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*a + 1, -4*a + 768 - 760 = i. Sort 5, 1, 0, i, -93 in increasing order.\nAnswer: -93, 0, 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548313 is divided by 135619.\nAnswer: 5837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 6*d - 147. Is (-14)\/d - (-48802)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.5 (b) -0.2 (c) -0.1 (d) 2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17598482927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619015.\nAnswer: 5, 323803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 65, -20, -57, -22, 109, 360, 755?\n\"Answer: 4*f**3 - 113*f + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 566186.\nAnswer: 566185.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 245\/(-25))*(-10)\/32?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 55)\/(12\/28). Suppose 55 + 25 = 4*q. What is the highest common factor of q and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 64?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/12*6\/8*0. Let a(g) = -g**3 + 5*g**2 - g + 7. Let w be a(5). Let l be w - (-1)\/(2\/4). Solve 3 = -5*p - l*d - t, 9 = -p + 2*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**5\/20 - z**4\/3 + 5*z**3\/3 - 3736*z**2. Give v(4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394107?\nAnswer: 823, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 34. Let k = -20 - j. Sort 4, 3, k in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + sqrt(1100)*4)**2 + 1.\nAnswer: -70435 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 181450574\nAnswer: 1\/181450574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 217536\nAnswer: 870144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 100?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -34.7. Let z = 1.2 - 1. Is r not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40156 != 40163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-40)\/8)\/((-19)\/2)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-1) - (-13 - -7). Let l(v) = 2*v**2 - 3*v - 5. List the prime factors of l(k).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from qrqqqqrqqrqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 (base 11) in base 6?\nAnswer: 14045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1888, 3769, 5644, 7507, 9352, 11173, 12964, 14719?\nAnswer: 16432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(7) + (sqrt(7) + -1 - sqrt(7)) + -3 + -2)**2 - (3 + ((sqrt(175) + sqrt(175)*-2)**2 - 6*sqrt(7)*2))).\nAnswer: -72*sqrt(7) - 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/1473, -74\/5, 5?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscxxsxcxxxscx. Give prob of sequence sxs.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/15869, 1, -1.2, -5, 0.5 in ascending order.\nAnswer: -5, -1.2, 10\/15869, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p - 12. Let y be w(-10). Let f = -29 - y. What is the lowest common multiple of f and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -452 + 256. Is -58 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.94605 milligrams to nanograms.\nAnswer: 20946050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -73*n. Let k(v) be the first derivative of 39*v**2\/2 + 2856. Give k(p(g)).\nAnswer: -2847*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 14*z**2 - 10*z + 11. Let g be x(-15). Let b = 86 + g. What is the lowest common multiple of 115\/10 + (-3)\/(-6) and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 7. Let m(n) = -n + 3. Let c(v) = 3*f(v) + 5*m(v). Let d be c(7). What is the highest common factor of 4 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 104 + -55. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1245\/166)\/(-27*(-18)\/2592)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -19*u - 24*u + 46*u. Let d(j) = 34*j. Calculate s(d(k)).\nAnswer: 102*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + 4*u)*(5*u - 2*u + u) + (14*u + 2*u + 0*u)*(71*u - 239 + 239).\nAnswer: 1144*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 - 39772*g\/5 - 197726498\/5 = 0. Calculate g.\nAnswer: -9943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -502788, -2011153, -4525094, -8044611, -12569704, -18100373?\n\"Answer: -502788*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2400*m + 175211. Determine j(-73).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6673*f - 124 - 21 + 6674*f.\nAnswer: f - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 17396920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63653281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.014? (a) 47 (b) -1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 31515.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -133. Suppose 5*d - 320 = -w*m, 7*d = 2*d - m + 340. What is the remainder when d is divided by 2\/(-7) - (-142)\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2. Let v(a) = 80 - 13 - 7 + 4*a - 30. Give v(h(p)).\nAnswer: -8*p**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6*b - 854 = 0. Suppose b - 90 = 4*t. Solve -t*y + 6*y = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726293 is divided by 270?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02284073 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49\/86? (a) 12 (b) -2 (c) 5\/3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-17) + -40*((-30)\/(-17425))\/(-1).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 + 1 = 0. Let z be 4 + (-2 - -1)*a. Suppose 3*k + 12 = -z*c, -c + 0*c + 4*k = -16. Solve -2 = q - c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1 + 5 - 6 - 11*c. Let i(n) = 4*n. Let k(p) = p**2 + 14*p - 18. Let r be k(-15). Let a(w) = r*q(w) - 8*i(w). Let f(j) = -6*j**2. Calculate f(a(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/27956 and 41\/1160.\nAnswer: 279560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-3)\/(-20))\/(23\/(736\/120))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1. Let u(z) = 213*z - 418*z - 1 + 206*z. Let r = -1 + 0. Let f(g) = r*u(g) + o(g). Let s(n) = 3*n**2. Give f(s(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-6))\/i**4)\/((i\/(i*i*i**(-1\/9))*i)\/(i*i*i**(-1)*i)) assuming i is positive.\nAnswer: i**(53\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -9, -31, -1.\nAnswer: -31, -9, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 195\/702*(-3)\/10*-26?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -219, -557, -963, -1437, -1979, -2589?\n\"Answer: -34*y**2 - 236*y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3019.\nAnswer: 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -79 + 68 - (2 - 42).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6807637 times 22\nAnswer: 149768014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 + 10\/(-25). Suppose 2*q - 6*q - 140 = w. What is q rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -298530836*r - 383279135 wrt r.\nAnswer: -298530836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (102 + -108 - (1 + (0 - 14))) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6250*x**6 - 130*x**2 - 17*x. Let t(k) = -2083*k**6 + 43*k**2 + 6*k. Let b(h) = -6*g(h) - 17*t(h). What is the third derivative of b(n) wrt n?\nAnswer: -250680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1254\/(-21) + (-6)\/21. Let s be (0 - -3)*(-40)\/a. Suppose s*n - 5 = n. Solve -n*g + 20 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhhhhihhhi. Give prob of sequence ii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179757536 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/8 + 93*r**2\/2 + 8869*r\/8 - 593505 = 0.\nAnswer: -109, 121, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 25*h**2 + 0*h.\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(81) - (sqrt(2) + (sqrt(8)\/sqrt(4) + -4)**2))*3 - ((sqrt(192)\/(sqrt(48)\/sqrt(4)))\/(sqrt(72)*-3 + sqrt(72)))**2.\nAnswer: -973\/18 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) + (sqrt(117) - 5*sqrt(117)*-1))*-5)\/(-2*sqrt(576)\/sqrt(4)))**2 + -2.\nAnswer: 15797\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -67)\/(4\/16). Suppose c = -2*s + 288. Calculate the greatest common factor of s and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 688\/42)*120\/(-100).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2 + 1 = -v, -3*v + 6 = x. Suppose 2*w - 45 = 3*s, v*w - 3*s - 89 + 17 = 0. What is the remainder when 89 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {a: 1, t: 1, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from qlllllllllqlllqqllq?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) -5 (b) -22 (c) -1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*m + 34. Let x be m\/(-4)*84\/(-1). Let d = x - 2301\/5. Find the common denominator of d and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*b - 64. Let y(u) = -17*u + b*u - 2 - 1. Let t(f) = 10*f + 7. Let g(m) = -11*m - 7. Let k(x) = -3*g(x) - 4*t(x). Give 4*k(a) - 9*y(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, e: 2, a: 2}. Give prob of sequence aeag.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - l**2 + l. Let v(a) = -3*a**3 + 2*a**2 - a. Suppose 0 = -m + 5*g - 16, 3*m + 5*g = m + 28. Give m*q(t) + 3*v(t).\nAnswer: -t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 200 = -5*p, 2*y - 20 = p + 45. What is the lowest common multiple of y and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1240, 2070, 2900, 3730, 4560?\n\"Answer: 830*n + 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5 - 2*g**4 + 2*g**3 + 8*g**2 + 7*g + 2.\nAnswer: -(g - 2)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 63*m**2 + 135*m - 322. Let l be i(65). Solve -3 - 4 = g - s, -l*g - 3*s = 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -46, -61, -72, -73?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.6\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.914271 - 2.415581. Let s = u + -24.5. What is s rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/4)\/((-25)\/50).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjnnbbnbjvnbvvv. What is prob of picking 1 v, 2 j, and 1 n?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7296 and 336.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*b - 1994, 2*i - 37*b - 1994 = -42*b. Let v = 2774 - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = 15. Let t(y) = 2. Let x(d) be the first derivative of d**3\/3 - 5*d - 58. Suppose 5 = 2*o + 1. What is i*t(a) + o*x(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 14*1)*(-3 - -2). What is the highest common divisor of 120 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 2. Let x(i) = -3*i - 2. Let w be x(a). Suppose 2*d = 2*p + 30, -4*d + w = -2*p - 49. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4328.5 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 12*x**2 - 9*x + 2. Let g = -19 - -8. Let f be h(g). Let p = 22 - f. Calculate the greatest common factor of p and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a minute in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 85235 = -5*n, -4*g - 10*n + 85242 = -8*n. What is g rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {o: 4, n: 5, e: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnyqqqqnqyn. What is prob of sequence qqny?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 17 - 7. Suppose -15 = -5*i - 5*u, -2*u - 4 + 2 = -p*i. Let x = -8 - -14. What is the smallest common multiple of x and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5635349789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 4*m - 2, 12508*m - 12507*m - 7 = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:00 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 9*w**2 - 6*w - 8. Suppose -4*a + 30 + 10 = 0. What are the prime factors of r(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -19*u**2. Let b(a) be the third derivative of -a**4\/12 - 3*a**2. Give i(b(y)).\nAnswer: -76*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 + -348. Let x = -3 - p. Calculate the greatest common divisor of 56 and x.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94787110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -21. Let o be -1*5*15\/x. Solve 5 = 3*i - 5*y, -3*i + 0 = -3*y + o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 816 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23*c**3 + 3*c**2 - 11*c - 13. What are the prime factors of f(3)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 10:19 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 2 - 17)\/(-2) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64.14 - 4.36. Round z to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 310441413?\nAnswer: 310441413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t + 8. Let n be a(-6). Let j = -81.67 + 81.57. Put j, n, 2\/9, -0.3 in descending order.\nAnswer: 2\/9, j, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31133 (base 5) to base 14.\nAnswer: a5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(5 - 21\/6). Let v be 9100\/308 + q\/22. What is the greatest common divisor of v and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/8)\/m*m)\/((m\/m**9)\/m) assuming m is positive.\nAnswer: m**(71\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) -2\/559 (c) 2\/3 (d) -5 (e) 5 (f) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1646 (base 7) to base 16.\nAnswer: 29f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 - (-6 + 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 1:58 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 + 19618*u**3 + 137258*u**2 + 294078*u + 176436 = 0. Calculate u.\nAnswer: -9802, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 4:21 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107717\/10 + -10783. Find the common denominator of l and 43\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61\/91 + -5\/13. Find l such that -2\/7*l + 2\/7*l**3 + y - 2\/7*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32739?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4890.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*m - 5*s, 5*s = -5*m - 56 + 51 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -197\/5 (c) -1 (d) 1\/2 (e) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 161160?\nAnswer: 3062040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -5, 0.1, -24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 527205 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27042, -54604, -82700, -111330, -140494?\n\"Answer: -267*m**2 - 26761*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 3*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 244360177 or 0.4?\nAnswer: 244360177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276419661.\nAnswer: 3, 7, 59, 223099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1962 + 0.2038. Let f = -0.1 + -0.2. What is the closest to 0.1 in f, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 4. Let h be m(5). Let w be h + -2 + 12\/3. What is the derivative of w + 0 - r + 3*r - r wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4160323.\nAnswer: 4160323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)\/((r\/r**(2\/131))\/r)*r**(-1)*(r*r*r**(-2\/29)*r)\/r assuming r is positive.\nAnswer: r**(11193\/3799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 11. Let v(i) = i**2 + 2*i - 1. What are the prime factors of v(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(320) - sqrt(1280)*2)\/(sqrt(20)\/(2*sqrt(242))).\nAnswer: -792*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 6 = -4*y. Suppose 2*q + 3*q - 7 = -y*u, -u + 8 = -4*q. Solve 2*k - 6 - u = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -11?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -4, 0.2, -0.4, -11 in descending order.\nAnswer: 0.2, -0.4, -0.5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**0*(l**5\/l)\/l**(-2\/3))**(6\/19) assuming l is positive.\nAnswer: l**(28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 6. What is the closest to r in -0.1, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k + 3\/4*k**2 + 27.\nAnswer: 3*(k - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (2 - 3 + 2)*(-4 + 3 - 1) + 25 - 82 - 120)*(-3*b + 5*b - b + (1 + 2 - 4)*(4*b - 3*b - 2*b) - 4*b + 5*b + b).\nAnswer: -712*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -108*(-148)\/(-333) + (-8*1 - -1) + -10?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2 + (-4 + (sqrt(75) + -1 - sqrt(3)) - (0 + sqrt(300) + 1))**2)*1.\nAnswer: 72*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 1)\/((-4)\/(-444)). Let a = q + -27. Suppose -t - a = -3*v - 3*t, 2*t = -5*v + 136. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29967 - 0.09967. What is the nearest to -25 in -5, 2\/3, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32735*f**3 - 16362*f**3 - 16377*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 775 + -211157?\nAnswer: -210272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15632 - 15632.07. Let k = -55\/3 - -37\/2. What is the closest to 2\/7 in z, -2\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517858 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.289*0.08.\nAnswer: 0.58312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.5 - 6. Let i = 6 - 14. Let q be ((-3)\/i)\/((-9)\/4). What is the closest to 0.1 in -1\/2, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 6 + 0*n + 5*n - 3*n. Is 40 a factor of q(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/7 + 2*g**4 - 12*g**3\/7 - 164*g**2\/7 + 10*g\/7 + 150\/7 = 0 for g.\nAnswer: -5, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 - 33*k + 326. Let v be j(7). Which is the closest to -0.2? (a) 2\/21 (b) 2\/19 (c) 3\/5 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -2\/91, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 14) to base 8.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -746 - -763. What is the highest common divisor of f and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Suppose f*a - a - 8 = 0. Suppose -58 = -4*h + 2*d, -4*d - a + 36 = h. What is the remainder when 47 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1592, 5353, 9118, 12887, 16660, 20437, 24218?\n\"Answer: 2*a**2 + 3755*a - 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and (-44)\/33 + 2712\/36.\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 27*u + 63 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846369 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o + 153 = 9*o + 774 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 25*z = -7368. Suppose -4*i + z = -1894. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*z + 636*z**2 + 184*z - 363*z.\nAnswer: 636*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 + 8111298598.3?\nAnswer: 8111298599.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -n - 2*z, -3*z + 5*z = 2*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 151 and 12.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 v when four letters picked without replacement from vvvwvvvvvwwvwwvv?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 31. Suppose h = 24*v - 19*v - 570. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131344739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 0.15. Let t = -3 - -2.8. What is the closest to -2\/7 in w, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b9 - 21a?\nAnswer: -3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 71. Let l(u) = -3*u - 36. Let x(k) = -4*h(k) + 7*l(k). Let b be x(-6). Find the first derivative of -12*v + 15 - b*v - 2 wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 316 = -1496. Let f = c + -92. Suppose 10*l = l + f. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/4)\/((-42)\/(-56)). Suppose -2*k + 586 = m*f, -3*k + 3 = -2*k. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 6*m**2 + 0*m**3 + 1\/40*m**6 + 1\/30*m**5 - 1\/12*m**4 + 0 + 0*m. What is the units digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19*k + 33. Suppose 208 = 41*y - 25*y. Let l be c(y). What is the highest common divisor of 80 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 30 + 15 = 3*z, -45 = -4*z + g. Let x(o) = 1 + 32*o**3 + o**2 - 6*o - 7*o + z*o. Let h be x(1). Calculate the highest common factor of h and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257492?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d - 309 = -99 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.700192 decades to years.\nAnswer: 7.00192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 77. Let d(x) = 4*x + 260. Let g(y) = -2*d(y) + 7*n(y). Suppose b - l - 11 = 0, 4*l + l = 2*b - 19. Determine g(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 749945026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)\/o)**(-1\/51)\/((o*o*o\/o**6)\/o*o**(-2)))\/((o**(-1)\/o*o)**40)**9 assuming o is positive.\nAnswer: o**(56003\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9924 is divided by 9891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-7 + 5)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 - 6*p + 17 + 14 - 4*p + 9 + 8*p. Calculate f(0).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 0)*(-2 - -3))\/((-209838)\/(-3007678)).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3) + -20 + 35 + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 - (-2 - -10). Let f(o) = o**2 + 8*o. What is the units digit of f(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3\/4 - 16907*f**2\/2 + 33811*f - 33810 = 0.\nAnswer: 2, 33810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43674 - 118815. Let c = y - -75088.179. Let p = c - -53. Round p to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8172 and 357864138.\nAnswer: 4086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -7*i**4\/12 - 11*i. Let s(h) be the first derivative of 8*h**2 + 979. Calculate s(m(a)).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*f - 5 = 0, -12 = n - 5*n - 4*f. Suppose 15 = -n*o, 0 = -4*r + r - o - 9. List the prime factors of ((-50)\/20)\/(r\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57801038 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -20. Suppose -8*a + 2*a = f. Is 1\/(5\/1060) + a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 14*r + 6271. Determine k(-72).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 413.9 - 459. Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26892 - 26804. Solve 922 = m*a + 130 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 17. Let z be j(-8). What is the highest common factor of 200 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(249\/1328)\/(3\/4)*-6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -39.4 - -6.941330673\nAnswer: -32.458669327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -761\/12 - -239\/3. Calculate the common denominator of 167\/84 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2129222795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - b - 5 + 2, -b = v + 3. Solve 2*i - 1 = a, -5*i - a - 15 = -v*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 29 - 11 - 18.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -65*q**3 + 14500*q**2 + 72985*q - 5700 = 0?\nAnswer: -5, 1\/13, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)**(-35))**(-5\/3) assuming r is positive.\nAnswer: r**(175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2187)*1 - sqrt(2187))*-3 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 1:30 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21021463 to the nearest integer?\nAnswer: 4585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33215 is divided by 239.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 + (-13)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36) + 47\/(-9). Let j = -5 - v. Let u be ((-4)\/(-42))\/((-6)\/(-18)). Is j != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 2555*z - 20536. Give q(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-285)\/9*(-1 - -4). Let d = 81 + j. Is d less than or equal to -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-132)\/(-42)*(-9)\/(-18).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - w - 2*m - 21, 0 = -2*w - 4*m - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**3 + 2*c**2 - c**3 - c**2 + 0*c**2 + 4*c**3 + 0*c**2 + (-2 + 3 - 2)*(-c**3 - 2*c**3 + 4*c**3))*(0 + 2 + 2).\nAnswer: 36*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + -415. Let b = -502 - f. What is the second smallest value in b, -0.18, 5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/523? (a) -0.1 (b) 2 (c) -1 (d) -14 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12381 = -37*t - 2761. Let a be 2\/14 + t\/91 + 5. What is the highest common divisor of a and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80871a (base 12) to base 5.\nAnswer: 1003134020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + u - 2*u + 1, 4*u = 2*q + 22. Let t be (-35)\/(-1162)*18\/(-15). Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7085\/(-4251))\/((-16)\/(-12))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**3 + 665*x**2 + 74685*x + 1604655 = 0.\nAnswer: -39, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 4936. Let i(n) = 153*n - 3. Determine z(i(s)).\nAnswer: -459*s - 4927","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o + 4*o - 18 + 129 = -2*i, 17 = o + 6*i for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/62)\/((-6)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -357 + 359. Suppose -l*y + 746 = 4*f, -7*f - 5*y + 191 = -6*f. List the prime factors of f.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(300) + sqrt(300) + 4)**2 - sqrt(300))*-3.\nAnswer: -32592 - 2760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (28\/21)\/(-1)*15\/(-2). Suppose 2*o + 6*j - 10 = 3*j, -4*j - 15 = -3*o. Solve -10 = -o*q + t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*z**2 - 2*z + 3 - 2 - 57*z**2 + (-2*z - 3 + 3)*(-5*z + 3*z + z).\nAnswer: -3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n - 1. Let l be a(-1). Suppose 4*p - 23 + l = 0, 0 = -3*y + 2*p + 160. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1481, 1514, 1585, 1712, 1913, 2206?\nAnswer: 2609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6321410.34 to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12110021 + 12?\nAnswer: 12110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*a = 14, -18 = 4*l + 11308*a - 11305*a for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*a + 837 - 222 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1328 and 63\/275449444?\nAnswer: 1101797776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*v = 280, t - 1022 = -4*v - 903. What is the remainder when (211 - (0 - 0))\/1 is divided by t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 9*j = -166*o - 4995, -4*o - 32 = -j + 83 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 3 - (-2 - (-2 + 2 + 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1428246301?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000530453142 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*w - 54*w. Suppose 2*a = -w*o - o + 138, -255 = -2*o + 3*a. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2579 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 15. Suppose -4*m = 5 + 7. Put m, -5, n in decreasing order.\nAnswer: n, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 2*m**2 - 2*m**2 - 3*m**2 + 2*m to the form f + z*m + d*m**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 581504 by 4.\nAnswer: 145376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30381234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(1\/3)\/x)))**19 assuming x is positive.\nAnswer: x**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -362221129 rounded to the nearest one million?\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 12:03 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 30*r - 63. Let o be n(2). Let q(h) = h**2 - 7*h - 1. Let b be q(5). Let t be (-45)\/(-60) + 18\/8. Put t, o, b in descending order.\nAnswer: t, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (11 - (-1 + 5)). Is 10 a factor of j*(-4)\/(-3) - (-118)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -126*a**3 + 2*a**2 - a + 1. Let k be m(1). Is k equal to -124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221230 (base 4) to base 14.\nAnswer: d88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4545?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185006299 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 + 12*t**2 + 9*t + 2. Let i(m) = 6*m**3 + 13*m**2 + 8*m + 1. Let c(w) = -4*i(w) + 5*u(w). Solve c(p) = 0 for p.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-25))\/(b**(-2\/15)*b) assuming b is positive.\nAnswer: b**(-373\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -662*n + 1346 - 417 + 395 = 0. Solve 2\/11*a**3 + 162\/11*a + 0 + 36\/11*a**n = 0 for a.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/8*(-16)\/4.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -114*t + 9. Let i(b) = -5*b + 31. What is the remainder when h(-2) is divided by i(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:08 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*c + 58*c - 29*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 223\/7381500 and 109\/68250.\nAnswer: 95959500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 568.42 - -0.58. Let j = 569.2 - q. Which is the nearest to j? (a) 2\/9 (b) -0.3 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 1640493?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 3133*f + 96140. What is j(-31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 13*k + 70. Let v = 37247 + -37231. Calculate l(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 - d**2 - 7*d - 4. Let a be j(3). What is the second derivative of 63*n - 56*n**4 + a*n**5 + 56*n**4 - 92*n**5 wrt n?\nAnswer: 1260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4878925 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(17\/3))\/((o**(7\/6)\/o*o)\/o) assuming o is positive.\nAnswer: o**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5840 - -6348. What are the prime factors of o?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + 15 - 2. Let f(i) = i**2 + 7*i + 2. Let z be f(-3). Let n = z + m. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 2*s + 4, s + 8 = 5*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -693 + 2753\/4. What is the common denominator of (-1857)\/156 + -4 - 2\/(-13) and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-54)\/9)\/(-6))*4\/(-108)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 - 5*m**2 - 4*m - 1. Let z(b) = 7*b - 4*b - 2*b - 2*b. Let w(k) = -l(k) + 6*z(k). Suppose w(y) = 0. Calculate y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 8:21 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -182322 (b) 2\/21 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 3, 1, -5 in decreasing order.\nAnswer: 3, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 593198 and 939.\nAnswer: 557012922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4\/3, -14, 4, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 + 3*o + o**3 - 3*o**2 - 6*o**2 + 3*o**2. Let b(p) = 8*p - 9 + 29*p**2 - 30*p**2 - 2. Let i be b(4). What is u(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361391 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290629266?\nAnswer: 2, 3, 19, 43, 74587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884 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: Let i(f) = -17*f**3 + 37*f**2 - 13*f. Let g(o) = 4*o**3 - 9*o**2 + 3*o. What is -26*g(v) - 6*i(v)?\nAnswer: -2*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965328.\nAnswer: 2, 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w*w\/(w**(2\/45)\/w)*w**(-4\/5)*((w*w**(-2\/5))\/w)**2 assuming w is positive.\nAnswer: w**(151\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-16 - -18) + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 3:09 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1 - -3)*-1. Suppose b = f + 16 - 14. Do f and -2 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*h = 5, 0*h - 4*h - 20 = 4*i. Let y = i + 10. Determine k so that 1\/3*k**2 + y + 1\/3*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = -38*s + 1806. Let l = 615 - s. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-72) + (-370)\/(-8) - -4. Let v(h) = -d*h + 172 + 52*h - 90 - 90. Calculate v(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/39)*y)\/(y*y**15*y)*y\/(y\/y**(-2\/11))*y*y*y\/(y*y**16))**(-5) assuming y is positive.\nAnswer: y**(64630\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1, l: 1}. Give prob of sequence ac.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -11. Suppose 4*c + t = -47. Let i be c\/(-6) + 8\/12. Sort i, -4, 2.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-851)\/(-1))*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 5*t + 86965 = 15*v, 4*v - t - 69612 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26719 or 26696?\nAnswer: 26696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*c + 270*c = 6599 + 21444 - 3894 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372 - 1331 - (32 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 1, y: 1, j: 1, v: 1}. Give prob of picking 1 y and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 182167861 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2235*l**2*r**5 + 3*l**2*r - 98*l - r wrt r.\nAnswer: -44700*l**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281 + 286. Solve -5 = -z*l - 5*p - 25, -14 = 4*l + 2*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 12403?\nAnswer: 12410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.342 - 0.042. Let n = 6.3 - g. What is the fourth smallest value in 1\/9, -3\/7, 5\/2, n?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 52544*a**3 - 172501944*a**2 - 345161536*a - 172607044.\nAnswer: -4*(a - 6569)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23770, -47541, -71316, -95095?\nAnswer: -118878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6255161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z. Suppose -34 = -5*c + 11. Suppose 17 = -0*r - 4*r + 5*k, k - c = -2*r. Let u(l) = -2 + 5*l**r - 7*l**2 + 2. Determine g(u(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 27*v**2 + 2*v. Let a(t) = 56*t**2 + 5*t. Give -4*a(h) + 9*r(h).\nAnswer: 19*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 30, 54, 106, 192, 318, 490?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4 + 6. Suppose 4*v - x = -2*x + 28, -2*v = -3*x - 28. Sort v, y, -2 in ascending order.\nAnswer: -2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15912 in -2\/13, 1\/15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -75*k**2 + 752*k + 3. What is j(10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7887.7659 hours to weeks.\nAnswer: 46.9509875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -37. Let h(j) = 7*j - 5. Let q be h(r). Suppose 3*u = o + 1895, -u - 3*u - q*o + 2520 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266798 and 31748962.\nAnswer: 31748962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = p - 3*h, -h = 4*p - 6*h + 50. Is 10*(p\/5 - (-41)\/2) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3993)*2 - sqrt(33) - (2*sqrt(99))\/sqrt(3))\/((3*sqrt(15)*-1)\/sqrt(5)).\nAnswer: -19*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.23, -2\/5, 0.1, -10\/21, 544?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from cqccqqlpcqlqq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 6. Let m be q(3). Find the common denominator of ((-5)\/m - -1)\/((-280)\/(-438)) and 18\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134509, -134450, -134353, -134218, -134045, -133834?\nAnswer: -133585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 (base 7) in base 9?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 4096?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/20 and 63\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/21*o**2 - 172\/21*o.\nAnswer: 2*o*(o - 86)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrnranenrrrnrr. What is prob of sequence aer?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100380 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 306\/(-345) + (-8)\/(-10). Let k be (2\/(-4))\/(5*(0 + 2)). What is the smallest value in t, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51326252 or -51326253?\nAnswer: -51326252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1128\/(-64) - -3) + 855\/57.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7582 is divided by 697?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a hour in seconds?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1121 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4))\/s**17 assuming s is positive.\nAnswer: s**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8309348\/497 + -16719. Is v at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 1:57 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 422640263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*s - 14164233 - 544872 = 3767817. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002110 (base 3) in base 16?\nAnswer: -31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7*k - 3 = 5*k, -5*k + 40 = -4*y. Suppose -18 = 3*s - 0*s. Let h = y - s. Which is bigger: h or -2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49.6067 centuries?\nAnswer: 59528.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1421378\/6205 - 3894\/17. Let t = d + -806\/6935. Which is the smallest value? (a) 1\/2 (b) t (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c6145 (base 14) in base 8?\nAnswer: -3677361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 2. Let l = 39 + w. Suppose l = -v - v + 34. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122396 + 18203 = 23*y. What are the prime factors of y?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3833491 is divided by 147421.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -339\nAnswer: 27\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2484\/(-81)*(234\/(-24))\/(-13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -6*u + 2*u, 3*n = -2*u - 4. Suppose n*d + 2*d = 0. Is 2 + (-1)\/(d + -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**7\/378 - 17*m**5\/180 - m**4\/3 - 10*m**3\/27 + 8515*m. Factor b(z).\nAnswer: z*(z - 5)*(z + 1)*(z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182617.\nAnswer: 182617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6927 = -5*b, -4*b + 5539 = 89*c - 94*c. What is the greatest common factor of 90 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + 278\/(-20))\/((-1984)\/(-1440) - 4\/(-18))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205720548?\nAnswer: 2, 3, 11, 29, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 11*m - 18. Is (1143\/2 + m)*(0 - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 62\/2395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642856881.\nAnswer: 3, 1381, 155167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -259*q**2 + 15*q - 13. Let j(l) = 130*l**2 - 7*l + 6. Give 6*a(g) + 13*j(g).\nAnswer: 136*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**3 - 2*m**2 + m = 0.\nAnswer: -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3036.246 weeks in microseconds?\nAnswer: 1836321580800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947556142?\nAnswer: 2, 3, 11, 90114487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/45)\/((-4)\/6). Suppose 2*w - 5 - 7 = 3*h, w - 12 = 3*h. Let f = 0 + 0. What is the nearest to f in l, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 4*a**3 - 2*a**4)*(9*a - 15*a - 13*a) + 2*a**5 - 8*a**5 + 2*a**5 + (3*a - 3*a - 2*a**3)*(-a**2 + 8*a**2 - 26*a**2).\nAnswer: 72*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*i - 42 = -3*k + 140*i, -3*k = 14*i + 12 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a83 (base 15) in base 14?\nAnswer: -15458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2962*w**2 - 39*w**3 - 10 + 42*w**3 + 10 - w.\nAnswer: 3*w**3 + 2962*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -15\/4. Let v(c) = 2*c - 6. Let x be v(5). Let m = -0.839 - 0.161. Put a, m, x in increasing order.\nAnswer: m, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d. Let g(o) be the second derivative of 5*o**4\/3 + 269*o. Calculate a(g(k)).\nAnswer: -240*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7812 divided by -6.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4589 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 68 = -96. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1575, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 - -294. Suppose -2*s = -2*c - 8, -4*c - s - s - 10 = 0. Let d be (4\/(-10))\/(6\/5*c). What is the nearest to -9\/4 in w, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380 = 2*h + 5*f - 361, 5*f = 4*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(4*f**2 - 4*f**2 - 55*f**3).\nAnswer: -110*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(25) - sqrt(225)*6 - sqrt(25)))\/(sqrt(480)\/sqrt(6)) - (sqrt(80) + 0 + sqrt(80) - -2*sqrt(25)\/sqrt(5)))**2.\nAnswer: 2205\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5671525 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 7 = 3*u, 4696*l + 21 = -5*u + 4712*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(2448) - sqrt(2448)*2))*2.\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + x - 1. Let n be d(-2). Let f be 36\/9 + (2 - 18). Let b be (11 + f)\/(1\/(-5)). Solve -o - 7 = b*c - n, 4*c + 2 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 26 - 140 = 0. Let s = -5 + 10. Suppose 3*t - u = -s*i, t + 3*i - 6 + 1 = 0. What is the highest common divisor of 20 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 514.27534483032 - -3493210.12466006968. Let m = f - 3493724. Let j = 0.4 - m. Round j to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 12*j - 2. Let i be b(12). Is 13 a factor of (-11)\/(-7) + i - 1552\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6855 is divided by 450.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.04 - -0.04. Let k(c) = 8*c**3 + 2*c - 2. Let i be k(1). Let w be (-1 - -1)\/(i\/(-28)*-7). Put w, 0.04, d in increasing order.\nAnswer: d, w, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3\/5 - 1266*z**2\/5 + 129456*z\/5 = 0.\nAnswer: 0, 174, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**4\/12 + m**3\/6 + 21*m. Suppose 0 = 5*j - 10, 5*i - 2*j - 7 + 1 = 0. What is the units digit of v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4244, -6503, -8762, -11021, -13280?\nAnswer: -15539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 3)*(2*i**2 - 2*i**2 - 5*i**2) - 4*i**2 - i**2 + 6*i**2 as s*i**2 + h + g*i and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57 (b) -4 (c) 9 (d) -18 (e) 3\/4 (f) -1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) -2\/3 (c) 21 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(275) + sqrt(275) + 1) + sqrt(275) + sqrt(275) + 6*(-3 + sqrt(275)) + 3)**2.\nAnswer: -1400*sqrt(11) + 27696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 369, 379, 375, 357, 325, 279?\n\"Answer: -7*a**2 + 31*a + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*v - 17 + 48, -3*f = v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of 0*p + 0*p**3 + 0 + 15*p**2 + 1\/72*p**4 - 1\/360*p**5. Factor h(u).\nAnswer: -u*(u - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 9 = -p, -617*p + 6 = -619*p - 2*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 4:08 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 + 355848*l**2 + 38466576*l + 1038912480 = 0 for l.\nAnswer: -54, 89070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4309769?\nAnswer: 131, 167, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + 15*g**2 - 124*g - 321. Determine n(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + f + 2, -2*p + 4 + 2 = 5*f. Sort 0, p, 5.\nAnswer: p, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 17. Let n(y) be the first derivative of -16\/3*y**3 + 4\/5*y**5 - 1 - 7*y**2 + 1\/3*y**6 - g*y - y**4. Determine c so that n(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 6) to base 4\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3917853 divided by -3917853\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22460 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppx when four letters picked without replacement from {x: 11, p: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 - 182 + 90 + 163)*(-4*i - 4*i + 4*i).\nAnswer: -696*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a**3 + 0*a**3 + 21*a**3 + 11 - 3*a + 2*a to the form u*a**2 + x*a**3 + p + l*a and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 1)*(-15 + 52 + 9)*(y - 2*y - y)*(0 + 1 + 0)*(-2 + 3 + 0) as u + x*y and give x.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - 0) - (-14 + 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - 3*w**2 + 5*w**2 + 4)*(3 - 3 - w - 4*w + 3*w + 2*w + (0 - 2 + 3)*(1 - 1 + 3*w)).\nAnswer: 6*w**3 + 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61217, 244860, 550931, 979430, 1530357, 2203712?\nAnswer: 2999495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 802, 1508, 2214, 2920, 3626?\nAnswer: 4332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -70*u + 314. List the prime factors of x(-16).\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r**4\/3 - 46*r**3\/3 + 26*r**2 - 12*r = 0. Calculate r.\nAnswer: 0, 3\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p - 234. Give u(20).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74984, 150547, 226110?\nAnswer: 301673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(8547\/(-126))*(-1)\/(-6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2. Let w(j) = 2*j - 3. Let l(u) = 2*u - 4. Let c = -4 - -8. Let i(z) = c*w(z) - 3*l(z). Calculate i(g(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1206)\/7)\/((-15)\/70). Let p be 6*(-1 + k\/8). Suppose 0 = 5*m - p - 448. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.47 - -0.63. Let x = f + -3.1. Which is the nearest to 1\/3? (a) -1 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1387, 2706, 4025, 5344, 6663, 7982?\nAnswer: 9301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 7*n. Let t be d(6). Calculate the highest common factor of 15 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8508 + -7763. What is the remainder when i is divided by 196?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -8*o**2 - 5*o + 6. Let p(l) = -24*l**2 - 14*l + 17. Calculate -6*p(v) + 17*w(v).\nAnswer: 8*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 17*q**2 + 22*q - 115. Let p = -3 - -2. Calculate the smallest common multiple of a(-15) and (2 + p)\/((-2)\/(-22)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -308 by -77.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.8 - -6.9. Let i = -46 - -20. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*9\/(72\/(-100)). Suppose -268 = s*c - 1668. What is the highest common factor of 21 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.10212908, 0.4, 8 in descending order.\nAnswer: 8, 0.4, -0.10212908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 21*a - 5*a = -25*a - 476 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -127*-43.12\nAnswer: 5476.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*n**2 + 15*n?\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 2, h: 2, p: 1, q: 4}. What is prob of sequence pk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + k - 6. Let h be y(-6). Let v(z) = -10*z + z - 3*z. Let d be v(-1). Calculate the greatest common factor of d and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/((-3159)\/(-12)))\/(((-345)\/225)\/23)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/177301 + -16134591\/17730100. Let g = 16707 - 1336449\/80. Calculate the common denominator of g and m.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 662 - 466. What is the smallest common multiple of 2156 and i?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -223*m**2 - 48*m + 297. Let j(v) = 223*v**2 + 40*v - 297. Let q(o) = 5*a(o) + 6*j(o). Differentiate q(d) wrt d.\nAnswer: 446*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.17 + 5.17. Which is the nearest to -0.1? (a) -0.3 (b) g (c) 1\/7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001000101110000 (base 2) in base 13?\nAnswer: 10c01a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 + 117*z**3 + 16*z - 243*z**3 - 4*z + 125*z**3 - 38*z**5 wrt z?\nAnswer: -760*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 3*v. Suppose 3*t - 3 = -3*s, v*s = -2*s + 3*t + 22. Solve s + 15 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1 = -17. Suppose w - 5*w = -60. Suppose -3*i = -j*h + w, 5*h - 12 = -5*i + 2*i. Let v(l) = 2*l + 1. Determine v(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 25*x - 10. Let d(t) = -3*t**2 - 38*t + 15. Let v(a) = 5*d(a) + 8*r(a). Let n be v(-11). Which is smaller: n or 7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12 + 2. Suppose 0 = -r - 16 + 26. Suppose i*b = 3*b - r. Calculate the least common multiple of 6 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(-1*(-48)\/(-81)). Let n = 13\/8 + w. Solve 0*r**3 - r**2 + 1\/2 + n*r**4 + 0*r = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1021*x = 1036*x - 13320. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187032, 374229, 561426, 748623?\nAnswer: 935820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3996038346 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1212 + 446. Let t = p - -810. Calculate the greatest common factor of t and 1232.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*k - 2*k - 65 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -18. Suppose q = -3*k + 31 - 19. Solve 5*f - 8 = k*t, 2*t + t = -f + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1 (c) 94 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*q**3 - 33*q**4 + 92*q**5 + 33*q**4 + 3248*q - 54*q**3 wrt q?\nAnswer: 1840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 292480 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7815 + 7812. Sort q, -5, -190, -1, 3.\nAnswer: -190, -5, q, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 6*n - 3*n)*(4*n - 1 + 1)*(-9*n - 6 - 4*n + 17*n).\nAnswer: 16*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -321, -400, -425, -396, -313, -176?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 27 = -3*i + s, -16 = 5*i - s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (2 - (-8 + 1)). Is (-534)\/(-10) - (-4)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2) + (-116 - -112)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195147 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + f = -2, 2*a + 17*f - 21*f = 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - -56?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 6. Let o = l + 5. Let a be 2\/(3 + 10\/(-4)). Solve 0*y - 2*y - a = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61795*i**4 - i**3 + i**2*w - 96286917*w wrt i.\nAnswer: -247180*i**3 - 3*i**2 + 2*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 4) to base 15.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -1070238 in increasing order.\nAnswer: -1070238, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -18100\/117569 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u + 58*u**2 - 617*u**2 - 7*u - 94*u**2.\nAnswer: -653*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**2 - 200*k = 0 for k.\nAnswer: 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 1493360?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*b - 4 + 3, -7 = -b + y. Suppose -15*x + 84 = -b*x. Suppose 0 = -s + x*s - 12. Calculate the lowest common multiple of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 334676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 - 48*k**2 + 2 + 230*k**2.\nAnswer: 183*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8 = -g. Let w(f) = f**2 + 1472*f - 4423. Let t be w(3). Let l be 9 + -1 - (-3 - -5). Put l, t, g in descending order.\nAnswer: l, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*(3 - 186\/12). Calculate the highest common factor of o and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:30 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/10 + -19\/10. Let p = -4064\/7 + 20334\/35. What is the fourth smallest value in p, -2, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 116*r - 228. Give n(-56).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 5:28 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 1\/16, -387?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*z - 267*z - 267*z - 267*z + 1370*z - 280*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 3*l**2 + 4*l + 3. Calculate q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52484, -52961, -53488, -54089, -54788?\nAnswer: -55609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2. Let z(p) = 1. Let k(y) = y + 2. Let n(l) = k(l) + 3*z(l). Let u be n(-9). Let x be s(u). Let m(g) = g**3 + g - 8. What is m(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1997*b**4*h + 5*b**4 - 3*b**3*h + 2*b**3 - 28*b**2*h + 14*b*h + 2*b - 398 wrt b?\nAnswer: 47928*b*h + 120*b - 18*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from crpprpapc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*r + 81 = -123*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.6412 - 0.0388. Let q = -1.78 - x. Sort 2\/11, -4\/5, q in descending order.\nAnswer: q, 2\/11, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**3\/3 + 1. Let r(k) be the third derivative of k**4\/6 - 628*k**2. Calculate r(a(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378896 divided by 34.\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54311359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2009 + 2006. Are b and 318 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l = -69 - 51. Solve 12 = -2*n + n + 5*a, l*a - 10 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8681.921 + -8693. Let g = a - -0.079. Are g and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 34686\/3275?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 10 + (-3 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from eeeeyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-109260)\/(-145680))\/(9\/(-86)*1\/(-6))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2\/5 + 3*x - 12\/5 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3216156 + 711425\nAnswer: 711425.3216156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-117)\/12 - -3)\/(21\/(-6664)).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/4 + 663*j\/4 = 0?\nAnswer: 0, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let t(p) = 9*p**2 - 67*p + 4. Let g(w) = 5*i(w) - t(w). Let o be g(8). Which is the third biggest value? (a) 16 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62713 = -t + 62710, -9*y - 4*t = 93 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5)*-2*5)**2.\nAnswer: -40*sqrt(5) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16771586 * 0.3\nAnswer: 5031475.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2984465.\nAnswer: 5, 11, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 23 = -4. Let u = j + 13. Let b be ((-8)\/(-4))\/(2\/26). Solve u*z + b = 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o = f + 33*o - 65, 5*o = 4*f - 345. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.34182um in kilometers?\nAnswer: 0.00000006334182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -127358 take away -396.86?\nAnswer: -126961.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4658096 and 290?\nAnswer: 23290480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2108 = -4*x, 2*n + x + 3*x - 1392 = 0. Let j = 1777 - n. Let q = j - 496. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 445571 in descending order.\nAnswer: 445571, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7464971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 218*z**2 - 217*z**2 - 221*z**2 + 73 - 7*z + 658*z**2.\nAnswer: 2*z**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102*k - 16 = -4*m - 2101*k, 0 = -6*k + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22436 - 1524*z + 22436 to the form h*z + k and give h.\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 - 2*c**2 + 2)*(4*c**3 - c**3 - c**3) + 549846*c**2 - 636*c**5 - 549846*c**2.\nAnswer: -642*c**5 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2184 + 2265. What is the greatest common factor of 837 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3752\/134)\/(-28))\/((1\/19)\/(3\/(-1))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k + 14. What is h(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 872142*o - 12209400.\nAnswer: -3*(o - 290700)*(o - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q - 6. Let s be u(6). Suppose -s = -5*j + 2*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 2 = 0. What are the prime factors of 2\/(w*(-2)\/60)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6300\/(-600))\/((-7)\/(14\/12))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {g: 2, q: 3, z: 1, x: 4, d: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -2*d. Solve -2*l + 4*r + 20 = 0, d - 8 = 2*r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - l + l - 11)*(6 - 2 - 3)*(-2 - 1 - 1) to the form a*l + j and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by 1213?\nAnswer: 89\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164 - 104. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/19876 and 89\/278264.\nAnswer: 278264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1269587, 2539175, 3808745, 5078291, 6347807?\nAnswer: 7617287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43782 kilograms in grams?\nAnswer: 1437.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 - 131.08. Let k = -1.0024 - y. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4264160 and 290.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*n**2 - 2498*n**2 + 616*n**2 + 613*n**2 + 616*n**2.\nAnswer: -37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w + y, 16 = w + 43*y - 40*y. Solve -3*z - 5*l = 12, 2*z + w = -2*l - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156208 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (-91)\/(-7))\/(6\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 90.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26825 is divided by 1813?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -3.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*s**2*v**2 + 213*c**2*s*v**2 + c*s**2 + 37*c - s**2*v**2 + 2 wrt c?\nAnswer: 2*s**2*v**2 + 426*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 726*f. Let m(o) = -o**2. What is p(m(l))?\nAnswer: 3*l**4 + 726*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/3729 and -67\/102.\nAnswer: 126786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(5\/6))\/(-6 - -5). Let l(s) = -1675*s - 23. Is l(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 1\/2, 2, 0.3, -16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 + 41304*x.\nAnswer: x*(x + 206520)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1030?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (516\/(-129))\/(18\/216)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -13.49. Let i = w + 16. Let z = -2 + i. Sort -2, z, 0.\nAnswer: -2, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3091 is divided by 235?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -11. Let m(x) = -x**2 + 12*x + 3. Let d be m(12). Suppose p - d*n + 13 = 2*n, 2*n = 2*p + 10. Sort p, 5, y in descending order.\nAnswer: y, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 3*u = 32, 0 = -3*d + 2*u - 2 + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*u - 1753*u + 425*u + 447*u + 440*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2319 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854761 is divided by 1209.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3 + 19*q**2 + q + 9.\nAnswer: 18*q + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 684.29 - 681. Let z = g + -0.29. Which is the third biggest value? (a) 5 (b) z (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = 3*s. Suppose -s*f = -2*f. Solve -5*l = -f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 10. Let f be w(12). Factor -59 - 3*u**f - 3*u**4 + 6*u**3 + 59.\nAnswer: -3*u**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -23*t**2. Let k(p) = -p**2 - 24*p + 1. Determine k(q(m)).\nAnswer: -529*m**4 + 552*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*g - 4, 2*r - 8 = -3*g + 7. Let h = 14 - r. Which is the third biggest value? (a) 1\/4 (b) h (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(2 + (-122)\/59). Let s = v + 6339\/590. Let x = -23935\/6 + 4005. What is the common denominator of s and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(-9)\/(-2). Suppose 2*b + a*b = 10. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 146.4. Let o = -109.6 - p. Let v = 101 + o. What is the fourth biggest value in v, -4, 6, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.8 - -13.8. Let v = 119 - 126. Which is the second smallest value? (a) v (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5326867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(28))*6 + 4 - 5*(sqrt(112) + -6*(-1 + sqrt(112))))**2.\nAnswer: 2720*sqrt(7) + 129572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, r: 9, i: 2, l: 3}. Give prob of sequence ilrl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r**4 - r**4 + 6*r**4 + (-r**3 + 2 - 2)*(6 - 6 - 5*r) + 2*r**3 + 3*r**4 - 2*r**3 to the form q*r**2 + b*r**3 + d*r**4 + o*r + s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64150 and 810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*(-30)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -919 - -11945\/13. Suppose -c - 3*c = -4. Sort -2\/9, b, 32, c.\nAnswer: -2\/9, b, c, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 10 - 5 = -4*k, -3*r + 9 = 0. Find f, given that 4*f - 26*f**5 + 21*f**5 - 17*f**3 + 0*f**k - 18*f**4 = 0.\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -22. Let m be 70\/385 - 103\/(-22)*54. What is the highest common factor of l and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224330 or 1?\nAnswer: -224330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 548.8 or 1\/2?\nAnswer: 548.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -7) + 1 - (18 - (22 + -32 + 20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22631, 22585, 22461, 22217, 21811, 21201, 20345, 19201?\n\"Answer: -7*b**3 + 3*b**2 - 6*b + 22641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/474 and -47\/22?\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*j**2 - 223*j**3 + 689*j**2 + 686*j**2 - 2053*j**2.\nAnswer: -223*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32161038, -64322074, -96483110, -128644146?\n\"Answer: -32161036*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2522*w - 4886. Give h(2).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.5354kg in nanograms?\nAnswer: 879535400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 31*z + 0 - 2*z - 3*z + z - 2*z - z + 5*z + (2 - 4 + 3)*(-2 + 2 + 2*z) + 9 - 9 + 3*z - z - 2*z + 4*z + z + 3*z - 5*z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.340034 - -0.34. What is d rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**12\/q)*q*q)\/(q**(1\/12)*q*q) assuming q is positive.\nAnswer: q**(-133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33733080*q**2 - 12*q - 164885 wrt q?\nAnswer: 67466160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 5*h = 5*q - 111, 0*h - 24 = 2*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, q: 2, p: 1}. What is prob of picking 1 k and 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 231, -5, -444\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 297416 - 666416. Round b to the nearest 10000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0.06 (b) 26 (c) 2\/7 (d) 42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**6\/120 + t**5\/20 - t**4\/24 + t**3\/3 - 1331*t**2. What is g(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7 = 0, -3*a - 4*k + 5*k = -7. Let o(l) be the second derivative of 34*l + 2\/3*l**3 + a*l**2 + 0. Let u(i) = -6*i. Give u(o(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhhqhhhhhh. Give prob of sequence hqhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 408. Let t = 277 - l. Put 0, t, 28 in ascending order.\nAnswer: t, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -21.9. What is the closest to -0.2 in 1, -1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1130*x**5 + 14715*x**4 + 11625*x**3 - 26870*x**2 - 600*x = 0. Calculate x.\nAnswer: -12, -2, -5\/226, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -4041, 4, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4248196+-545948\nAnswer: 3702248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iih. What is prob of sequence ih?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -1027.84 and -0.147304.\nAnswer: -1027.987304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 88269, 1\/5, 1\/52, -7?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -242241*a + 5329318. Determine s(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(4)\/((sqrt(20)\/sqrt(2))\/sqrt(5)))**2 + (4*-1*sqrt(16))\/((sqrt(1152) + 1*sqrt(1152) - sqrt(1152)) + sqrt(1152)) + 1.\nAnswer: -sqrt(2)\/6 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b. Let j(f) = 6*f**2 - f. What is q(j(i))?\nAnswer: 48*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = 33. Let s(p) = -30*p + 495. Let m be s(16). Calculate the greatest common divisor of f and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*v + 46*v + 475*v.\nAnswer: 763*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/481, -0.2, -2\/13, 5 in descending order.\nAnswer: 5, -12\/481, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23708698.\nAnswer: 2, 13, 911873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -8. Let h = m - -1. Suppose -6*j + 5*j = -h. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) -0.328 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 26*m + 22*m + 4*m + 23964*m**2.\nAnswer: 23964*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -20. What is the third smallest value in 2\/5, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 4*a - 2. Let p be c(1). Let x be (-2)\/1 + 3 + 1942. Suppose -2*v = 4, -p*w - x = -8*w - v. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132) + (3*sqrt(132)*-2 - sqrt(132)) + sqrt(132) - sqrt(132)) + 2*sqrt(132)*-1)\/(3*1*sqrt(108)) + -4.\nAnswer: -4 - 7*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30*o*r*v + 2260*o*v + 8*o - 1546*r with respect to v.\nAnswer: 30*o*r + 2260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in -2, -0.9, 2\/5, -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 63*j**2 - 49*j**2 + 41*j**2 in the form n*j**2 + m + o*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 7:00 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -165*j*n**4 - j*n + 93*j - 32*n**4 + 2*n - 2 wrt n?\nAnswer: -1980*j*n**2 - 384*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -175.4 + 164. Let x = -11.615 - a. What is x rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35795 greater than or equal to -35777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -1)\/6*(-3 + 2)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/66875 + -87204964\/601875. Is j less than -144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 645.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r**4 - 654*r**3 + 61*r**2 + 13446*r + 21240 = 0 for r.\nAnswer: -3, -2, 60\/11, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + x + 2. Let i be ((-24)\/36)\/((-2)\/(-3)). Let r be h(i). Solve 3*y + 2*y = -2*c - 18, r*c + 5*y = -26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -113. Calculate the smallest common multiple of b and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-6*(1 + sqrt(76)) - sqrt(76)) + -1 + -1 + sqrt(76) + -1) + -5)**2.\nAnswer: 1584*sqrt(19) + 25108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -g + 4, -g + 2*g - f - 7 = 0. What is the remainder when 28 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354*l**6 - 38*l + 324*l**6 - 719*l**6 + 2*l**2 wrt l?\nAnswer: -4920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 45 - 53. Calculate the remainder when 21 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100001001101 (base 2) to base 14.\nAnswer: 5377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -45 + 70. Suppose -i - m + 3 = 0, -4*i - 1857 = -z. Is 82 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 628*o + 1249. Determine f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 14*r**3 - 70. Let i(v) = -1. Let h = -7059 - -7057. What is h*y(n) + 140*i(n)?\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -1, 199 in decreasing order.\nAnswer: 199, 14, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.05769*7328\nAnswer: 422.75232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 10) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0*u + 23*u**2 - 13\/6*u**3 + 1\/8*u**4 + 0. Let o be a(5). Put -2, o, -6 in ascending order.\nAnswer: -6, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = c + 18, 3*j + 8 = -5*c. Let p(m) = m**2 + 2*m + 2. Does 11 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106713932*w**2 + 127*w + 1809513?\nAnswer: -213427864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 69220390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 19*w**2 + 48*w - 3. Let f be a(-3). Solve -9*u - 6 = -f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(525\/(-30)))\/(-1). Is -49\/12 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14146 (base 14) to base 2.\nAnswer: -1100000111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -15 (c) 5 (d) 0.06 (e) -1 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107045 is divided by 128.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9 - 213*l**2 + 147104098*l**4 - 3 - 147102955*l**4 wrt l?\nAnswer: 27432*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*r**2 - 12192*r + 5424.\nAnswer: -3*(r + 452)*(9*r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n + 72*n = 34*n + 858 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 82. Let u = -39.1 + m. Let w be (4\/(-3))\/((-7)\/((-14)\/(-4))). Which is the closest to u? (a) w (b) 2\/11 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6. Suppose 0 = -4*t - 3*z - 9, 3 = -z - y*z. Let h be 3*(-10)\/(-34) + -1. Which is bigger: t or h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -39, -113, -259, -501, -863?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.1, 75 in ascending order.\nAnswer: -0.3, -0.1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 4 - 4 + 1 + 3. Let p be n(4). Is 11 a factor of 28 + (0 - 1 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -34.\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 398*p - 336. What is the tens digit of g(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33655 and 2.\nAnswer: 67310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**25\/t**(8\/5) assuming t is positive.\nAnswer: t**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeewbgdjg. What is prob of picking 1 g, 1 w, 1 d, and 1 b?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*p = -148*p - 27. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246 + -241. Suppose -y*v - 7*v = -144. What is the highest common factor of 1020 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 4*p = -17, 3*s - 655*p - 23 = -651*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -y + 11, -2*y + 2 = -2*h + 12. Solve 1 = 3*d + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8778331?\nAnswer: 47, 186773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 2 - (-108 - (57 - 142))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**6\/180 - 25*m**3\/3 - 2*m - 22. Let y(o) be the third derivative of a(o). Let i(n) = 38*n**2. What is y(i(w))?\nAnswer: 2888*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -3927a0a?\nAnswer: 3927a05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**3 - 2*n - 2. Suppose 3*d + s = -6 - 17, 4*d + 44 = -4*s. Let h(v) = -1421*v**2 + 1421*v**2 - v**3. What is d*h(y) + b(y)?\nAnswer: y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 12. Suppose 4*z = s - 4. Suppose z*i - 14 = -2*i + k, -5*k = -5*i + 10. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.029 - -0.001. Let s = -0.03 + h. Sort 5, s, -1\/4 in decreasing order.\nAnswer: 5, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*z - 114*z = 5. Suppose 68 - 3 = z*w. Suppose -270 = w*h - 15*h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 23*c**2 + 19*c**2 - c**3 + c - 35*c**2 + 3 - 7*c. Is g(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0, 2\/3, 473, 4\/3, 28\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*h**6 + 3577*h**3 - 36075*h**2 + 795*h - 2.\nAnswer: 600*h**3 + 21462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/60*10\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*j**3 + 10*j**3 - 61*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 29, 97, 205, 359?\n\"Answer: m**3 + 11*m**2 - 6*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -8*q + 50. Let s(j) = 5*j - 60. Let g(p) = -6*a(p) - 5*s(p). Let w(k) = 4*k - 3*k + 6*k. What is w(g(h))?\nAnswer: 161*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 993 = 4*n + 3*h - 102, 0 = -4*n - 2*h + 1090. Calculate the highest common divisor of n and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 1 = j + 2*c, 5*j = 4*c - 45. Let q(y) = -14*y**2 + 2*y - 69. Let w(v) = 5*v**2 - v + 24. Let n(a) = 6*q(a) + 17*w(a). Is 11 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + b**3 - 2*b**3)*(b**2 + 3*b**2 - 2*b**2) - 2*b**5 + 2*b**5 + 7*b**5.\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 51*f + 1556. Calculate p(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13603, -13606, -13609, -13612?\nAnswer: -13615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -233 - -133. Let a = q + 202. What is the remainder when a is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(315) - 1*sqrt(315)) - 2*sqrt(315)*2)*2)\/(sqrt(21)\/(sqrt(300)*-2)*4).\nAnswer: 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*1\/(-18))\/(5\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 4 + 2)*(0 + 2 + 0)*(1 - 3 + 3)*(-6*z + z - 2*z) to c*z + k and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7751 - -7739. Let f be 57\/132 + (-1)\/4. What is the smallest value in c, f, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 15*i + t - 22, 2*t = 4. What are the prime factors of 627 + (-4 - 2*(4 + i))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100887\/175 <= -575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b**2 + b**2 + b**2. Let s(p) = -p**2 + 2*p + 2. Let r be s(2). Let d(h) = -3*h**2 + 2*h**2 + 3*h**r. Give d(w(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/385 and 6\/57365?\nAnswer: 57365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 262*2*(-55)\/352*-4. Let b = -349 + g. Suppose -2*z - z = 66. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 3*q + 5. Let x = 9 - 5. Let a(r) = r - 27. Let p(g) = g**2 - 3*g + 80. Let m(l) = -3*a(l) - p(l). What is x*m(k) - h(k)?\nAnswer: 2*k**2 - 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(3 - (12\/3 - 3)). Let y(x) = 5*x + 0*x - 6*x + b*x. Let q(f) = -f. Give y(q(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -67.5, 5, 1\/3 in descending order.\nAnswer: 5, 1\/3, 1\/5, -67.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*2*315\/(-42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 3. Let m be b(-3). Let z be m - -2*9\/(-6). Suppose 0 = z*u + 5 - 17. Solve 0 = 2*l + 2*o - 3 - 7, u*l - o - 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f**3 - 34*f**2 + 4*f + 8. Let z(r) = 34*r**3 - 55*r**2 + 7*r + 17. What is 5*o(u) - 3*z(u)?\nAnswer: -12*u**3 - 5*u**2 - u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3\/5 (c) -8 (d) 0.4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 - 1 = 0. Suppose b = -j*b + 54. Calculate the smallest common multiple of b and (-125)\/(-100) + 103\/4 + 5.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t + 7. Let h(z) = 688*z + 0 - 681*z + 3 + 3. Determine -5*h(m) + 4*i(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21\/18*(-11)\/((-6776)\/(-198))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4429476984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 6275832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7540.87 meters to centimeters.\nAnswer: 754087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131714180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -2858.\nAnswer: -37\/2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*(3 + -3). Let y be (-1 + d)\/((-7)\/63). Suppose 0 = -3*q - 0*q + y. Solve -2*x + 5 = q*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93*-4.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, c: 4, b: 5}. What is prob of sequence bccc?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016692 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -511*j**6\/12 + 827*j**5\/30 - 150*j**2. Find the third derivative of l(m) wrt m.\nAnswer: -30660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -14?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6652044 divided by -4\nAnswer: -1663011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6*1)\/((-8)\/24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92195.53 tonnes to milligrams.\nAnswer: 92195530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 1, f: 1, y: 1, g: 2}. What is prob of picking 1 r and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (22 - 25) + 6\/(-10494)*-5121. Is 0 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 - (-7 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 86873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 1, -5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 11:03 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v**2 - 40*v**2 + 67*v**2 - 29*v**2.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l = -27 + 38 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -6, 4*s - 2*o = -1 + 7. Solve 4*v - 5*j + s*j + 16 = 0, 0 = v + 4*j - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 2\/17, -1\/2 in decreasing order.\nAnswer: 2, 2\/17, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u + 61. Let t be d(-8). Let i be -2*(1 + 1)\/(-2). Suppose -t*w = 0, i*r + 2*w = -0*w + 28. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21290?\nAnswer: 2, 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -4*y**3\/3 - y**2 - 2*y + 341. Let z(m) be the second derivative of -5*m**4\/12 - m**3\/2 - m**2 - 2*m. Give -4*p(u) + 3*z(u).\nAnswer: u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4844 divided by 14\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 4*d**2 - 3*d + 3. Let y be k(-3). Solve -y*f + 12 = -6*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3267619*o**2 + 60072*o + 7?\nAnswer: 6535238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3*h - 14 = 0, 587*v - 6*h = 591*v - 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86487.\nAnswer: 3, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 485505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2132903, 4265807, 6398711, 8531615?\n\"Answer: 2132904*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.05 and 30.\nAnswer: 30.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = n - 0. Let q = n + 47. Let c = 24 + q. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b**2 + 12*b - 8. Let t = 6729 + -6734. What is o(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 11:40 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131226, 262451, 393682, 524919, 656162, 787411, 918666?\n\"Answer: 3*h**2 + 131216*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 + 55*l + 10.\nAnswer: 55*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26150008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 196 and 205256149.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -7*h**3\/6 - h**2\/2 - 2*h + 22. What is b(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i + 35*i = 3*k - 54, -3*k + 6 = 0. Solve 20 = 4*c + i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h = 3*f + 11, 5*h + 97 = -f. Let x be (-2 + (-25)\/h)*-4*5. Solve -11 = -b - x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(2\/3*12\/(-8)). Suppose u + 5 = 10. Suppose u*t - 2 = t - y, 2*y - 4 = c. Which is bigger: -9\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*11\/(-4004))\/((-1)\/(-12))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18652502 is divided by 9326247?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/4)\/q*q**(2\/21)*(q**3)**(-15) assuming q is positive.\nAnswer: q**(-3751\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 8 + 7*j - j**2 - 8*j + 0*j**2. Let i be z(-4). Is i greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 95.05403ml?\nAnswer: 0.09505403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -42*v + 803. Calculate the remainder when 2\/(-8) - (-33)\/4 is divided by r(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-9187.181\nAnswer: 918.7181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w - 2*w - 2*w)*(3 + 0 - 1) - 3*w + 4*w + 0*w - 2*w + 6*w + w - w + 0 + 0 + (-2 + 0 + 4)*(0*w + 2*w - 3*w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17*q**3 + 23*q**2 + 30*q. Determine u(-2).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 66*v - 64. Let p(z) = 13*z - 13. Let m(n) = -3*j(n) + 16*p(n). Calculate the remainder when m(6) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 215262\/(-4)*24\/(-18). Let s = z + 238246. What is s rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20746 divided by -253?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231051754, 231051753, 231051752?\nAnswer: 231051751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-18))\/(20\/(-30))*19\/(-57)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 13 - 237 - 6*z**2 - 225 + 79.\nAnswer: -6*z**2 - 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 109, -21, 1683.\nAnswer: -21, 26, 109, 1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 39*g**2 + 5*g + 183. Determine h(-39).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 - 7*k - 4. Let a(r) be the first derivative of r**3\/3 - r**2\/2 - r + 43. Give -10*a(f) + 2*m(f).\nAnswer: -2*f**2 - 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - x - 1. Let f be k(3). Suppose -5*s = -f, 2*q + 0*q - 7 = s. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + o - 5*d + 100, -64 = -2*o + 4*d. Let w = o + -19. Suppose 8*m = -2*l + 3*m + 128, 3*m - 339 = -w*l. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420746400 to the power of 1\/2, to the nearest integer?\nAnswer: 20512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9263098 is divided by 291.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9 - 1 + 3 - 10*a + 8*a. Suppose -v - 15 = 5*p, -v = v - 4*p + 2. Suppose -c - 6*c = -9*c + 12. Let m(s) = -2*s - 8. What is c*u(g) + v*m(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 27*y - 709. Give c(-26).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-26) + 58*(-3)\/(-12). Let d be (-2)\/q - (-36)\/(-78)*-32717. Round d to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -9 (b) -0.1 (c) 0.1 (d) -12\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 731670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1884 and 6.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1435053 (base 6) in base 11?\nAnswer: -571a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.88 + 120.28. Let x = j + -119. Which is the third biggest value? (a) 26 (b) 2 (c) 1 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 - (0 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-72898)\/35 - 9)\/((-4)\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = 3*o - 103. Let l = 199 + o. Calculate the remainder when -3 - (-2)\/(2\/l) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.04, 4, 0.01 in descending order.\nAnswer: 4, 0.01, -0.04, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3 + 78100*k**2 - 624632*k - 1561680 = 0.\nAnswer: -2, 10, 39042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59 less than -64048?\nAnswer: -64048.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2 + 6*b + 8. Let m be n(7). Let l be 10 + -3*1\/m. Solve -l*v + 8 = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 644, 2\/11, -10, -2\/7, 4.\nAnswer: -10, -2\/7, 2\/11, 4, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 32 - 95 = -z*c. Calculate the remainder when c is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9.394 (b) -0.3 (c) 0.27 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.911838kg to nanograms.\nAnswer: 1911838000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9032448 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1145 = -2*r - 1107. Calculate the remainder when 357 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390.8483 litres in millilitres?\nAnswer: 390848.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f - 26244 = -33*f. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 plus -10.31?\nAnswer: -10.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -25. Let g = -2 + r. Let u(d) = -d**2 + 2*d + 4. Let c be u(4). What is the second smallest value in c, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 + 4)*4\/(-2). Let l = 27 - y. Calculate the remainder when 20 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (-4)\/(30\/(-40)*2\/3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2385\/(-1325))\/(3\/(-45))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**19\/z)\/z)\/z**(-15))**8 assuming z is positive.\nAnswer: z**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times -1851.93?\nAnswer: -51854.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + (-2 + 1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*6\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**5 - 2*x**5 + x**5)*(-1 + 3 - 1) - x + x + x**5 - 132 + 2*x**5 + 132 + 2*x.\nAnswer: 4*x**5 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -705 + 705 - 21*f + 94*f**2 - 222*f**2 + 106*f**2.\nAnswer: -22*f**2 - 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 356923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5645 at least 967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 146. Let l be b(0). Suppose -5*s + l = -44. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + (13 - 19).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91389\/826 or -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2738*s**5\/15 - 6626108*s**4\/15 + 19555312*s**3\/15 + 5521652*s**2\/3 + 1448962*s\/15 + 19384\/15 = 0.\nAnswer: -2423, -1, -1\/37, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23043, -46084, -69123, -92160, -115195, -138228?\nAnswer: -161259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3168 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20015 is divided by 408?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595597.319 to the nearest 1000.\nAnswer: -2596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 + 4*i + 1. Let f(u) be the first derivative of -11*u**3 - u**2 - u - 3. Let j be f(-2). Let g be j\/27 - 4\/18. Determine v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8863414 meters to millimeters.\nAnswer: 886.3414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from {g: 3, b: 2, c: 8, f: 3, p: 1, k: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**3 + 0*c - 25*c**3 + 5*c as w*c**2 + a*c**3 + d*c + y and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 5, -5\/4, 285.\nAnswer: -5\/4, 5, 33, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 4*c - 4*c)*(-3 + 20 - 11)*(192*c + 190*c - 377*c + 1).\nAnswer: -60*c**2 - 12*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1259 divide 195382951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = a, 36 = 2*v + 4*a + 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/70 and 123\/238?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/34*12\/9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*j - 20. Let z(o) = 2*o - j - o + 10. Let r be z(-4). Put -5, -4, r in increasing order.\nAnswer: -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 - g - 2. Let l(p) = p**4 + p**3 - 21*p**2 + 5*p + 20. Let q(b) = -l(b) - 5*v(b). Find the third derivative of q(a) wrt a.\nAnswer: -24*a - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 382153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**8\/24 - 59*p**4\/12 + 49*p**3 + 4. Let a(z) be the third derivative of t(z). What is the derivative of a(j) wrt j?\nAnswer: 280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6353*s - 29. Is u(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, l: 2, o: 1, a: 1, p: 2}. What is prob of picking 1 b and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2517.3?\nAnswer: 2506.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbtt when four letters picked without replacement from ttbtttb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f + 5*x - 103, -f + 79 = x. Solve 29*i - 220 = f*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + -1 + 5\/30.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.25 - -83. Let y = a + 2.25. Is -0.089 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 w when four letters picked without replacement from wwmmmmmwmmmwwmmmmm?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441842 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 142.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*z + 37 = 3*z, u - 14 = 5*z. Suppose 5*o - 3*o + 5*b - 19 = 0, -8 = -o - 2*b. Suppose u*v = o*v. Solve 3*f - 5*f - 4 = v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:41 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 108. Suppose 10*t + m = 202. What is the second derivative of -t*r**4 - 4*r + r**2 + 143 - 273 + 132 wrt r?\nAnswer: -228*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 791.24?\nAnswer: 158.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l**2 - 8*l + 5. Let n be t(5). Let q be (5\/n)\/(2\/4). Which is the closest to -1\/17? (a) q (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20773470 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-5)*(-282)\/13395?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 1900950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -651 - -1489. Let w = s - 287. Let f = -264 + w. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 16?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14 + 8 = 0. Suppose -10*t = -6*t + 96. Calculate the smallest common multiple of (-4)\/(-7)*(-84)\/t and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-3))\/(2\/6). Let h(j) = -j**2 - 13*j - 8. Let t be h(x). Let c be 275000\/(t\/(-8) - 3). Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 - 1) + 0 - 8*57\/(-152). Which is greater: k or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 91038076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*h = -3*g - 272*h + 4, 4*g + 11*h + 11 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2816 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -32. Let g = -3 - a. Is g*(3 - (-15)\/(-9)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5 - 5*h + 3*h + 5*h + h - 5*h - h**2. Determine v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 4:43 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -975 divided by -3\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/3)*y**(-3))\/(y**(-1\/2)\/y)**(2\/123)*(y**(-2\/3)*y)**(5\/12)\/(y**0)**(1\/10) assuming y is positive.\nAnswer: y**(-6155\/1476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 0 + 1 + 1 - 5*c + 4*c. Let n(g) = -6*g + 13. Calculate -6*n(i) + 39*r(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-27) + (-12)\/(-108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40367*p**4 + 2*p + 60757?\nAnswer: -161468*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**7\/105 + l**5\/30 - 3*l**2. What is the third derivative of r(y) wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*u - 7327 + 28063 = 0 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 a factor of 1579323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -628*g**3 + 1817*g**3 - 586*g**3 - 609*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2 + (-267)\/105 - (-84)\/210).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1\/3*a**3 + 2*a**2 + 0 + 4*a. Calculate b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911459 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (275\/(-140))\/((-12635)\/90972).\nAnswer: 99\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 243 + 38*l**3 - 264*l**3 + 36.\nAnswer: -226*l**3 + 280","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31492379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/15393 and -89\/2079.\nAnswer: 1523907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -6, -17, 1 in ascending order.\nAnswer: -17, -6, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777457647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36457451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/6)\/(5\/780) is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -131*m**6\/120 + m**5\/60 - 7*m**2 - m. Let j be -2 - (0\/(-1) - -2). Let u be c(j). What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240 + 77. Let h = -1629\/10 - p. Let l be (4\/28)\/((-6)\/(-7)). What is the closest to h in -2\/7, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 1. Let x(g) = -19*g**3 + g**2 - 3*g - 3. Calculate l(v) - x(v).\nAnswer: 19*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.433527133 plus 161?\nAnswer: 62.566472867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100284623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2946 divided by 249?\nAnswer: 982\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 550.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419120 divided by -209560.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 78 + 208566*k**3.\nAnswer: 208566*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -10101001010011110?\nAnswer: 10101001010100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 6*c - 12. Calculate h(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = 18931190 - 5197865. Is f\/(-60) - ((-26)\/(-8) - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1794 + 3685\/2. Find the common denominator of w and 51\/116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1757\/6 + -3511\/12. Let l(f) be the second derivative of 0*f**2 - 12*f + 0*f**3 - o*f**4 + 0. Let w(q) = -7*q. Determine w(l(v)).\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/21 (b) 3 (c) 57\/4 (d) 5 (e) -5 (f) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -3124254.\nAnswer: 1\/520709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6131645 - 0?\nAnswer: 6131645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 11*u**2 - u + 15. Let j be t(11). Suppose z - 2*w = 0, -3 = z - j*w - 1. Solve -7*g = -z*g + 4*p + 31, 0 = -2*g - 2*p - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 77, 150, 245, 368, 525?\n\"Answer: d**3 + 5*d**2 + 51*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0)\/((3\/(-13))\/(198\/(-6006)))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 6:27 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132.7 - 133. Let w = -0.3 - -0.4. Which is the nearest to -2? (a) y (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -8, 105 = x - 5*s - 288. List the prime factors of x.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282216 divided by -4\nAnswer: 70554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54185\/6 + -9011. Let f be (-1)\/413*(-12)\/32. Let j = f + -66909\/3304. Find the common denominator of m and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {m: 5, i: 2, h: 6}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12074728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1) + -3 + 3 + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 11686835*y\/2 - 64277653\/2.\nAnswer: (y + 5843423)*(2*y - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3359185 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: Let 4*i**4 + 4725320*i**3 + 9450628*i**2 + 4725312*i = 0. Calculate i.\nAnswer: -1181328, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 u when three letters picked without replacement from {t: 6, g: 4, u: 4, b: 3}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 50*a. Solve a*n + 15 = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -64. Suppose -70 = -v - l*v. What is the least common multiple of 300 and v?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/9 + 22058*j\/9 + 44120\/9 = 0.\nAnswer: -2, 22060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, -21, -30, -39?\n\"Answer: -9*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 6*b**2 - 7*b - 9. Let x be h(-5). What is the closest to -0.2 in -0.01, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 + 9*w**2 - 2*w - 2. Let f be q(-5). Let a = 19 + f. Solve -j - 10 = -5*x, -7*j = -a*x - 3*j + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1182 and 1?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13828, 55049, 123750, 219931, 343592?\n\"Answer: 13740*f**2 + f + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*s - 21*s - 34*s**3 + 12*s**3 + 27*s**3 - 21*s.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22.3 in -34, -8, -3, 12, 1\/3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4054472?\nAnswer: 2, 506809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1675*k + 673*k - 3459*k - 1256*k.\nAnswer: -5717*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 9*x + 23. Give h(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11842 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/42 - -4 - 43466\/(-2163)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134109131?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 8) to base 13\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-18)*(a**(-1\/6)\/a)\/a)\/(a\/(a*a\/(a*a**(-7))))**(-17\/5) assuming a is positive.\nAnswer: a**(-1319\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 73. Let a(p) = 6*p + 321. Let i be a(-36). Let k = x + i. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.281451 rounded to one dp?\nAnswer: -70.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2894270 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by (-54368)\/(-272) - 3\/(51\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Let o = 15 - z. Let p = -9 + o. Solve 16 = -0*n - 2*n - 4*q, -5*q = p*n + 20 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in 0, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**7 + 0*r - 1\/56*r**8 + 0*r**6 + 2*r**2 + 0*r**3 + 0*r**4 + 7\/60*r**5 + 0. Find the third derivative of a(v) wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 136054611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1*1361\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 689 + 188. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1446612*f**3 + 1.\nAnswer: 1446612*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8004 divided by 2001\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -8\/11, 1?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:28 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -ac (base 14) to base 6\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 8) to base 12\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/12 - 5*s**4\/6 + 10*s**3\/3 + 69*s**2 - s. Factor x(f).\nAnswer: 5*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*t + 30, 2*t + 2*t = 4*o - 36. Factor o*d**2 - 6*d - 15*d**2 + 6*d**2.\nAnswer: -3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -195, -299, -403?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + a + 7. Let g(w) = -w**3 + 24*w**2 - 79*w - 23. Let y be g(20). Give b(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640121056 to the power of 1\/2, to the nearest integer?\nAnswer: 51382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -1\/5, 29, 0, -2333?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 11) to base 15.\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11710, 46843, 105398, 187375, 292774?\nAnswer: 421595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 11283676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c - 14 + c + c**2 + 6*c - 2*c. Suppose h - m - 5 - 1 = 0, 5*h + 2*m - 30 = 0. Calculate the remainder when 39 is divided by q(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-7 - -4) - -4. Suppose x*t = -j + 51, -3*j + 3*t = -0*j - 207. Suppose r - j + 15 = 0. Calculate the highest common divisor of r and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -500 + 500.00313. Round c to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.202223 centuries in years?\nAnswer: 20.2223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 + -33.3. Let h = -0.7 + c. Let k = h - 5. What is the nearest to k in -1, -0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1711071638 and 3191?\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -2515576?\nAnswer: 2515577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, -3, -31 in decreasing order.\nAnswer: -3, -5, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 3*o - 5*x - 22 = 0, -3*o - 3*x - 15 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 + 0*d**3 + d**3)*((2 - 5 + 5)*(-75*d + 30*d + 7*d) + (0*d + 4*d - 3*d)*(-1 + 3 + 1) + d + 2*d - 2*d).\nAnswer: 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**7\/42 - 39*k**5\/20 + k**3\/3 - 251*k**2\/2 - 985*k. What is the second derivative of m(t) wrt t?\nAnswer: 20*t**3 - 234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -27*r. Let b(w) = 1478*w - 1478*w + w**2. Determine b(y(v)).\nAnswer: 729*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.19, 30, -7.9, -2, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 - m**3\/6 + 2*m**2 - 5*m. Determine o(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 equal to -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-115)\/3)\/(((-10)\/(-36))\/((-1266)\/(-3798)))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15*r + 24. Let l(k) = -7*k - 12. Let f(w) = 13*l(w) + 6*p(w). Give f(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 73004948 and -0.95.\nAnswer: 73004947.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*l**2 + 5*g*l + 39*g - 15*l**2 wrt l?\nAnswer: -4*g*l + 5*g - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**9\/1512 - h**8\/280 + h**7\/140 - h**6\/180 - 59*h**3\/6 + 13*h**2. Let a(f) be the first derivative of q(f). Factor a(w).\nAnswer: 2*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1129, -635, -141?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36000\/4427 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.031*-1.6\nAnswer: 0.0496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -421, -11, 2, 3, 350, 1, 5 in ascending order.\nAnswer: -421, -11, 1, 2, 3, 5, 350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 14.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -195945 (base 12) to base 9\nAnswer: -748028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/60317915 and -41\/280?\nAnswer: 482543320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 8. Suppose 0 = -g*k - 1 + 21. Let q be (1 - k)*9\/(-12). Put 2\/5, q, -0.5 in increasing order.\nAnswer: -0.5, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m**2 + m - 1. Let b = 203 + -257. Let h = b + 51. Give u(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 12*g - 126. Let q(y) = 13*y - 28. Let p be q(3). Let u be x(p). What is the greatest common divisor of 174 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 + 3*k**2 + 5*k**2 - 2*k**2. Let w(h) = -66*h**2. What is w(y(j))?\nAnswer: -264*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.1225 (b) -3 (c) 7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*66\/12*(-8)\/(-3). What are the prime factors of (-45)\/(-22)*4 - 8\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:38 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -691149 < -691147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -12*g - 538. Let r be 12 - (-121 + 133)\/((-4)\/(-19)). Determine q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/2568853?\nAnswer: -1\/2568853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.19 and 265.606.\nAnswer: -1378.49514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36166890 to the power of 1\/2, to the nearest integer?\nAnswer: 6014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-26)\/(-6))\/((-8)\/12))\/((117\/(-24))\/(-13))?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*b + 25, 4*b - 10 = -b. Let p be 2 - 1\/(1\/(-3)). Let w = t + p. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31690, 34941, 38192, 41443?\n\"Answer: 3251*f + 28439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 448*s**3 - 3*s**2 - 2*s + 1. Let y be j(-2). Let l = 5891 + y. What is l rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5\/2*a**3 + 0*a - 179*a**2 - 2 - a**4. What is the derivative of g(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 82, 71, 62, 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 132 = -136. Solve -1 = -2*t - 3*w + l, 4*w = -5*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -4, -5, 50, 6, 1 in descending order.\nAnswer: 50, 6, 2, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1580716 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2 + 200 = 0.\nAnswer: -10, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19\/2 - -10. What is the nearest to -4\/7 in -0.6, w, 0?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 29*k + 2. Let y be r(2). Suppose 12*v - 17*v = -10. Suppose 0 = -l - v*l + y. Solve 4*w + w - l = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(432) + 2.\nAnswer: 2 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95158112 plus 9?\nAnswer: 14.95158112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9823 and 6490.314?\nAnswer: 3332.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-three thirds of a hour?\nAnswer: 51600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53 and 105947?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.12 (b) -1\/3 (c) 19 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917402319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24408720 and 1008.\nAnswer: 24408720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 227 in -0.3, -3, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 3*k. Let l(t) be the second derivative of t**4\/6 + t**3\/3 + 9*t. Determine 4*c(b) + 6*l(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*l - 58, -l - 2*i + 42 = l. Suppose 4*z + 0 = 2*u - l, 5*u + z = 10. Solve 3*f - 4*q - 3 = 0, 0 = 2*f + u*q - 5*q - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -33?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g + 7. Let j(c) = -9*c + 8. Let o = 11 + -18. Let w(y) = o*h(y) + 6*j(y). Differentiate w(f) with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -2, -0.0311?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -3663.\nAnswer: -17\/3663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + -5*sqrt(77)*-1 + sqrt(77) - -4*-2*sqrt(77)))\/(-4*(1*sqrt(1100)*-3 + sqrt(1100) + sqrt(1100))).\nAnswer: 3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 4\/3, 2\/3, 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 769 = -6161. Let j = -617 - s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90 - 90 - f + 29*f**2 + 0 + 0 - f**2 + (2 - 3 + 2)*(4*f**2 - 4*f**2 + 2*f**2) + 5*f + 2*f**2 - 5*f.\nAnswer: 32*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 6. Let t be p(-9). Let a = -7 + t. Let v(j) = -2*j**2 - j - 2. Let f(o) = -4*o**2 - 2*o - 5. Give a*v(h) - 2*f(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (-3)\/2*-2. Suppose -3*j + 7 = z, 14 = 2*z + y*j + 2. Solve p + 3 = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5734408978?\nAnswer: 2, 36929, 77641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -213320 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 47*s**5\/20 + 60*s**2 + 21*s. Differentiate l(d) wrt d.\nAnswer: 141*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/175 and -3\/279685?\nAnswer: 1398425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Let g be 3 - -24 - -1*x. Solve 4*y + 11 = 3*r, -4*y + r - g = 4*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 - 296660*x**2 + 2*x + 560824.\nAnswer: -12*x**2 - 593320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let c = -3.52 + 0.52. What is the nearest to 0.1 in h, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-8)*(-11462)\/(-1563)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5978 and 53.805.\nAnswer: -321646.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/60 + c**4\/12 - c**3\/2 + 4*c**2 - 2*c. Suppose q(y) = 0. Calculate y.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 2 - 838\/6. Let o = 125 + u. What is the common denominator of 1*((-15)\/9)\/((-2)\/(-21)) and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 5:28 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 10*q - 425 = 0, -q + 1 = -7*q + q + 11 for s.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {l: 5, s: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117) + -4 - (sqrt(832) - sqrt(832)*1)**2) - ((sqrt(104)*2)\/sqrt(2))\/((sqrt(4) - sqrt(12)\/sqrt(3) - sqrt(4))*3)*3.\nAnswer: -8 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5 - 6*b + 5*b + b**2 + 6. Let f = 16 - 8. Is 20 a factor of m(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9835638 and -1.181612.\nAnswer: -9835639.181612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6\/x*x**(19\/4))**(1\/50) assuming x is positive.\nAnswer: x**(39\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Suppose s + 2*s - 112 = -5*q, -2*q + 20 = -i*s. Let g be 15*(44\/q + -2). Solve -5*n + j - 8 = -g*n, -3*n - 2*j - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 - m**2 + m + 3. Suppose -4*w + a = 9, -5*w + 2*a + 9 - 24 = 0. Let f be h(w). Calculate the highest common factor of f and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 2*f**2 + 1. Let g be d(1). Let u(m) = 13*m + 3. Let q be u(-7). Let v = q - -91. Solve -2*r - 4*i = -3*r - 3, g = -3*r + v*i + 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 11. Let g be z(-4). Suppose -5*s - 2 = -12, 2*s = 4*a - 60. Solve a = g*r + 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 896*r**2 - 88*r - 127. Is k(-31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 14 = -k - 4*k, 3*m + k + 22 = 0. Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-8) - (-145314)\/144 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -195, -477, -859, -1341, -1923?\n\"Answer: -50*f**2 - 132*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2136 and 840160?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 11*s - 9 = 10*s, 5*s + 13 = -4*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110011110110 + -110010010?\nAnswer: 1000101101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-3\/17) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from ylqmlllyl.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8233979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41648, 2, -4 in decreasing order.\nAnswer: 2, -4, -41648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*w + 40*w + 60*w**3 + 108*w**3.\nAnswer: 168*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**3\/3 - t**2\/2 + 14*t - 27. What is the units digit of i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 452640 and 40296?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 12:53 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -254*o + 19*o**2 - 4*o**2 + 2*o**3 - 15*o**2 + 0*o**3 as j*o**2 + l*o + h*o**3 + k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6116 and -103\/30580.\nAnswer: 30580","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (11 + -15)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63655, -127312, -190975, -254644?\n\"Answer: -3*l**2 - 63648*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + 155024442?\nAnswer: 155024364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2419 - -14345. What is the greatest common divisor of 268 and p?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -864600 divided by 2200\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 7. Let h(b) be the second derivative of b**4\/12 - 11*b**3\/6 + 12*b**2 - 48*b. Let v be h(a). Which is smaller: -23\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2*c + 11, u = 4*u - c - 8. Suppose u = 3*v - 5. What is the remainder when v is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -196.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from 73.3.\nAnswer: 62.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -70c - -7?\nAnswer: -705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 9. Let b = 8 + -13. List the prime factors of f(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 254 + 490. Suppose 0 = -25*v + l + 556. Suppose 4*d = 12 + 4. What is the highest common divisor of v and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 3 - 4)*(0*z - 5*z + 4*z) to b*z + s and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1458920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 19*j**6\/6 + j**2\/2 + 23. Find the second derivative of b(k) wrt k.\nAnswer: 380*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - 16. What is the common denominator of 73\/(-2)*d\/9 and 15\/(-48)*(0 + 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + o**2 + 5*o**2)*((-2*o + 0*o + 0*o)*(-4 + 4 - 1) - 3*o + 427 - 206 - 166).\nAnswer: -2*o**3 + 110*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 1584314.\nAnswer: 319\/1584314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 339, -4\/7, 8?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*f - 84*f + 32*f + 13214*f**2 + 28*f to the form m + r*f**2 + z*f and give r.\nAnswer: 13214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6582375*m**3 + 14*m**2*o**3 - 2*m*o**3 + m + 2*o**3 + o**2 - 2*o - 6734 wrt m?\nAnswer: 39494250*m + 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 129, 296, 541, 870, 1289, 1804?\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 + 7 + (24 - 12 - 13).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24)*-1 - sqrt(24))*6)\/sqrt(64))\/(5*2*sqrt(147) - -4*(sqrt(147) + -1*sqrt(147))).\nAnswer: -3*sqrt(2)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2171937680?\nAnswer: 2, 5, 11, 17, 47, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 3:14 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4*p**2 - 9*p - 48. Let b be o(12). Let g be ((-378)\/b - (-2)\/5)*-4. Suppose 0 = -5*d + 64 + 1. Solve 5*m + d = -2*c, -2*c + 6*m - g*m - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (10 - (2 - -16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(-11)*(118026\/1328)\/79?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*-1*((-1128)\/(-18800))\/(6\/(-4))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -6. Suppose -c - 1 = -4. Suppose 5*i + k + 7 = 0, -c*k + 1 = i - 4*k. Put i, 1, j in increasing order.\nAnswer: i, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -97\/3. Let c(f) = -f**3 + 5*f**2 + 8*f - 3. Let t be c(6). Suppose 0 = t*a - 4*a - 5. Is v bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 + 0?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 185 + b?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -68025*b**2*f**2 - 230258*b**2 - 3*b*f**2 + 2*b*f + 3*b - 6*f**2 wrt f.\nAnswer: -136050*b**2 - 6*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Suppose -4 = -2*g - 0. Let h(m) = 2*m**2 - m**g - m + m. Calculate s(h(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 0*l + 0*l + (2*l - 4*l + 3*l)*(-l + 4*l - l) - 31*l + 31*l + 8*l**2 + (-1 - 3 + 2)*(-l**2 + 0*l**2 - 4*l**2) to w*l**2 + h*l + o and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 2. Let g be o(-1). Solve 0 = -5*y - 0*y - 5*b - g, 4*b + 25 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/176 - (3 - 4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 19. Let q(c) be the first derivative of c**3\/3 - 2*c**2 - 3*c - 7. Calculate the smallest common multiple of q(5) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 1 - 1964*w**2 - 2*w - 16*w**3 + 1962*w**2. Calculate g(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 369224 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/13)\/(2050\/(-5330))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3155.058 and -1.\nAnswer: -3155.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 256 - 272.36. Let n = j - -7.03. Let a = -8.6 - n. Round a to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 11, m: 1}. Give prob of sequence mvvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 - 331*f**2\/3.\nAnswer: -f**2*(f + 331)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z - 1. Let l be p(-2). Let x = 85 + -80. Solve 1 = j - x*o - 3, -5*j - l*o = 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-3)\/(-2) + (104 - -16). Suppose -27 = 126*s - z*s. Is s equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5954 + 5954 + 309*x)*(x - 6*x + 2*x)*(1 - 1 + 2*x) to p*x**2 + k*x + h + a*x**3 and give a.\nAnswer: -1854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 12:23 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 + 4. Solve -d + 2*d + c = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 7:12 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157943*r + 155799*r = -257280 for r.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4 + 224*p - 106 + 8*p**3 - 162*p**2 + 10 + 44*p**3 - 16*p**3 = 0. What is p?\nAnswer: 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*s + 146*s + 566 - 98*s + 204*s wrt s.\nAnswer: 293","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -1\/4, 0.3, 47, -6, 2\/117?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**3 + 2*t + 2. Let c be a(-1). Differentiate 20 - 2 - c - 3*k + 2 + 6*k**3 with respect to k.\nAnswer: 18*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1132221 (base 5) to base 11.\nAnswer: 14803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.05 (b) 2\/11 (c) 0.5 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0 (c) 235 (d) -5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 21. Let o = -13 + r. Solve o*s = 2*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98489 - 492448\/5. Let v be (3\/(-6))\/(34\/(-8)). Put -6, v, w in decreasing order.\nAnswer: v, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*c**2*n + 4*b**3*c*n**3 - 2*b**3*c + 2*b**3*n - 3*b**2*c*n**2 + 11*b*c**3*n + c**3*n**3 wrt c?\nAnswer: 4*b**3*n + 66*b*c*n + 6*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28722 + 40937. Is v a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*h - 5 - 1, 22 = x + 4*h. Let c(f) = -3*f - 2*f**2 + 4*f + 3*f + 3 + 4*f**x. Let z be c(-2). Solve 0 = -g - z - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 6, -20, -64, -132?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqqq when four letters picked without replacement from {q: 8, k: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (31 + -29 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -88. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z + 8. Let s(a) = -24*a - 31. Let j(t) = -t**2 + 11*t + 2. Let l be j(11). Let u(h) = l*s(h) + 9*m(h). Differentiate u(c) with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-2))*(-66)\/(-88)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -6ed40?\nAnswer: -6ed41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252106 (base 8) to base 6.\nAnswer: -1511142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.5 (c) 5\/4 (d) -116\/5 (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 5*s**2 + 21*s - 10*s to the form c + p*s + z*s**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 4*g**2 - 3*g - 4. Let z be y(-5). Let t = z + 40\/3. Which is the closest to 1\/2? (a) 3 (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12 + -20 - ((-1617)\/(-18))\/(-7) and (-2)\/48*(-61 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + 1)*6.\nAnswer: 6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5398097077 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 10*m - 2. Let c be 2\/((3\/(-54))\/(-1)). Suppose c + 14 = 5*i. Let j be u(i). Which is greater: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 3\/2*a**2 + 2 - 12*a. Let n be y(5). Solve n*p + 3*i = -4 + 1, p - i = 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 9, u: 10}. What is prob of sequence bua?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2164 = -2*l, 2*w + 0*w - 3*l = 2154. Suppose -j - w + 390 = 0. What is j rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -9. Let a = -16 + v. Is 1\/4 greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (23 + -33)) + (9 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1011100?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -9. Find the third derivative of 5*z**2 + 9*z**4 + 0*z**4 + z**2 + 0*z**b wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39173*b**4 + 1172*b**3 - 149889471.\nAnswer: -156692*b**3 + 3516*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 - 40*j - 64. What is the remainder when 108 is divided by r(12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*s - 5*s + 14*s - 6 wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nobwn. Give prob of picking 2 w, 1 n, and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdddkkurdrrrk. What is prob of sequence rkr?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -3*p. Let g be (-2*5)\/(p - (-42)\/(-9)). Is ((-12)\/g - -2)\/(10\/6425) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(9\/18 + -1 + 0). Factor -j**4 - 1\/3*j**f + 0 + 0*j - j**3 - 1\/3*j**5.\nAnswer: -j**2*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1738926 + 1061074. What is s rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 174 + 162. Let s(d) = -2*d**2 - 4*d + 4. Determine s(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - d**2 + d. Let b(n) = -2*n**3 - 2*n**2 - 9*n - 4. Let y = 153 + -150. Let t(k) = y*c(k) + b(k). Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and (-25 - 226\/(-10))*-90.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/7)*p*p*p**6)**18\/(((p*p*((p**2\/p)\/p)\/p)\/p)**(7\/5)\/(p*p**(-3)*p*p**(-1\/2))) assuming p is positive.\nAnswer: p**(2175\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024711055 to five dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:20 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2, 13, -1, 4.\nAnswer: -15, -2, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4199 - -4202. Suppose 2*l + 3*f + 2*f = 11, -5*f = 5*l - 20. Suppose 5*j + 2*q = 1704 + 3857, h*j + l*q = 3342. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 385, 554, 697, 808, 881?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184722?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 86.0091. Round y to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5404552 (base 6) in base 13?\nAnswer: 93aa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, 4, 1, -1, 5 in ascending order.\nAnswer: -39, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-12) - ((-9932)\/(-1584) + -7))\/((-2)\/(-3))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335564 (base 8) to base 7.\nAnswer: 651655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 963 = 3*t - 982, -4*t - o + 17 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 162. Calculate the remainder when l(11) is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 4. Let a be (10\/(-15))\/((1 - 3)\/6). Suppose -3*z + 4*m + 1 = 0, -a*z = -2*m + 5*m - 12. Determine w(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -17*u**2 + 46*u**2 - 24*u**2 - 15*u**2. Let s(k) = 2*k. Give s(t(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/16127 or 1?\nAnswer: -2\/16127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.4 - 8. Let f = 0.055 + 17.745. Let u = f + -18. What is the biggest value in -0.5, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*0\/(-1). Suppose q - 5*v = -11, v = 3*q - u*q - 9. What is the remainder when 7 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3697, 6, -12, -33 in descending order.\nAnswer: 6, -12, -33, -3697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j + 187*j**3 - 53*j + 40*j - 399*j**3.\nAnswer: -212*j**3 - 72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v + 8. Let p = 14 - 12. Suppose -24 = -p*b - b. Suppose -4*g + 16 = -b. Determine c(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 6*a**2 + 8*a + 10. Let y be n(-7). Suppose y*p - r + 6*r - 10 = 0, -4*r = -8. Let i = -8 - -12. Solve i*l = -p*l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3426750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -7693 (b) 4 (c) -0.3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 70 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 120. Let y be 140\/z - 4\/(-24). Let i = 10 - y. Calculate the greatest common factor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 11*b = d - 1437154, 0 = -2*b + 3*d + 1437170. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 - 6*m - 7. Let y be k(-5). Let h be (y\/(-14))\/(5\/10). Solve 0 - 2\/7*o**3 - 4\/7*o**2 - h*o = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 450, 1109, 2056?\n\"Answer: 144*p**2 - 61*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -0.2 (b) -2.1 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**10\/560 + 2*m**6\/45 - 4*m**3\/3 + 2. Let c(z) be the third derivative of w(z). What is the third derivative of c(r) wrt r?\nAnswer: 1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/93?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 5*k**2 + 2*k + 2. Let z be r(-5). Suppose 5*v + 5 = 5*t, -5*t - 40 = 5*v - 3*t. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333111 - 1110321322?\nAnswer: -1111321033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + b + 5 = -0*b, -3 = -3*t + 2*b. Let d be (0 - t)\/((-3)\/(-6)). Let o(n) = -n**3 + 2*n**2 - 2*n - 2. List the prime factors of o(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m + 10*m + 27 - 97 + 8*m. Let j be a(14). What is the highest common divisor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 262069152*q - 262069152*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.64411ns in milliseconds?\nAnswer: 0.00007664411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/5)\/(-1*(-1)\/15). Let p = -7 + z. Which is smaller: p or 4\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2391037 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 13*t - 4. Let l be m(10). Suppose 4*j + 10 = l. What is the highest common factor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 5, 7, 22, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.066 + 0.683. Round p to 2 dps.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 16 = i + l + 46, 35 = -7*l for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and -115\/744.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 137151 = -5*a, 4*a = 3*a - q + 27423. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = -2. Let x = -342 + 1369\/4. Which is the closest to 0.1? (a) f (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50 and 112890.\nAnswer: 564450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11823, 28228, 44619, 60990, 77335, 93648, 109923?\nAnswer: 126154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1043421305 - -1?\nAnswer: 1043421310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -36*w + 162 - 58. Let i(m) = -m**3 - 3*m**2 - 3*m. Let x(u) = 24*u**3 - 7*u**2 - 7*u - 7*u**3 - 8*u**3 - 12*u**3. What is w*x(n) - 14*i(n)?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from xxttxttxtttxtt?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 + 28*g - 98. Is 29 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 0, 5*p = 4*j - 26 + 14. Let n(v) be the first derivative of 0*v + p*v**3 + 26 + 6\/5*v**5 + 0*v**2 - 1\/3*v**4 - 4\/9*v**6. Factor n(m).\nAnswer: -2*m**3*(m - 2)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1141434 (base 5) to base 9.\nAnswer: -32432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4*sqrt(300)*-2 + ((sqrt(147) + (sqrt(147) - (sqrt(147) + -1)))*5)**2 + 2).\nAnswer: -3702 - 270*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 33 = 4*a + 16*r, r - 17 = -2*a. Solve 4*x - 20 = a*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**5\/20 + c**2\/2 - 1. Let z(y) be the second derivative of x(y). Let t(f) = -1 - 2*f + 1 + 0. Calculate t(z(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27047973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 77*k**3 + 3*k**2 - 6*k - 3. Let o(m) = 6700*m**3 + 260*m**2 - 520*m - 260. What is -6*o(n) + 520*t(n)?\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 + 37 = 0. Let x = p + -4. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let g be f\/9*12 - 2. Is g not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.8 + 32.3. Sort 3, 14, s in increasing order.\nAnswer: s, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + f - 81 = -10, 3*c = f + 55. Let q = 276 + -288. Let i be (-144)\/q + (7 - 1). Do i and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f - 1. Suppose f*a + 5 = 25. Let n(j) = j**2 - 6*j + 7. Determine n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f. Let r(a) = -5 - 2*a**2 + 5. What is r(j(s))?\nAnswer: -128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112710 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 5418?\nAnswer: -5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + -2 + 3 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354247 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 9:04 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4726 and 22.\nAnswer: 51986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.3 * 12.\nAnswer: -207.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1648927.2100022 + 1648927. Let y = h - -0.21. Round y to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myqqqy. Give prob of picking 1 m and 2 y.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9543079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-20)\/72*12\/120)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/5*1*1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -2 (c) -9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Suppose 0 = -5*y - 4*x - 29 - 32, -4*y + 4*x - 20 = 0. Let v be (3\/y)\/(5\/(-75)). Put -2, v, r in ascending order.\nAnswer: -2, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**3\/2 - 35937*f**2\/2 - 287624*f = 0?\nAnswer: -16, 0, 35953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 662, 935, 1216, 1505, 1802?\nAnswer: 2107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.3 - 16.3. Which is the nearest to 0? (a) -0.4 (b) 1 (c) 37 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9061*s - 19951 + 19948 - 14345*s - 189774*s.\nAnswer: -213180*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19969454 divided by 91603\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g = 2*w - 23*g - 15, -3*w = -5*g - 40. Put 15, -2, 16, w in ascending order.\nAnswer: -2, w, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2038 - -2038.003975. What is y rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7706*c + 13542 = -10445 + 2250 - 47617 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r + 41. What is m(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 4*z**4 + 4*z**4 + (-18*z - 15*z + 10*z)*(-4*z**3 - 8 + 8).\nAnswer: 94*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.37507 rounded to 1 dp?\nAnswer: 124.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 16 + -15 + 37\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 65*p + 115. Sort p, 5, -22 in descending order.\nAnswer: 5, p, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 12}. Give prob of picking 3 o.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7 + 2 + -1 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:32 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2081737331 to the nearest integer?\nAnswer: 45626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 97 - (-110 + 12 + 49 + 26).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2480803*t**2 + 4961010*t**2 - 2480205*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1*(-30)\/186. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9.9 (b) -1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Suppose -4*s = 2*s + 42. Let m(k) be the third derivative of -k**4\/12 - 13*k**3\/6 + k**2 + 39. Let f be m(s). Calculate o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13847307*v**2 - 29709212*v wrt v?\nAnswer: -27694614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 j when three letters picked without replacement from {z: 6, p: 1, l: 2, j: 7, o: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 4*j - 4, -4*h + 0 - 1 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 319794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093345 to 3 dps.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 3. Suppose 7*o = -5*j + 3*o + 28, -5*o = -10. Suppose -v + 5*z + 22 = 0, -2*z - 16 = -j*v - 0*v. Suppose -3*y + v*y = 6. Determine x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -16, -46, -98, -178, -292, -446, -646?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, v: 2, c: 1, d: 5, u: 2, t: 2}. What is prob of sequence tndt?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4 + 7*o - 5 + o - 3*o. Does 15 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41143157 is divided by 606.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**2 - 7 - 5*z**2 - 3*z**3 + 19*z - 42*z + z**3. Let o(j) = j**3 + j**2 - 2*j + 6. Let i be o(-3). What is the tens digit of l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29968 + 4?\nAnswer: 29971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 595, 1157, 1731, 2323, 2939, 3585, 4267?\n\"Answer: y**3 + 555*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 4 + 5*b**3 - 240*b + 242*b + b**4 to z*b**4 + x*b**3 + c*b + l*b**2 + p and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*8\/5728)\/1*(-38)\/(-1045)*22.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129001572 divided by -414.\nAnswer: 311598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2289434 divided by -14.\nAnswer: 163531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -10\/9 (b) 4 (c) -3\/2 (d) -0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 22*y - 69. Let f be k(18). Let -20 - 214*n**2 - 81*n**f - 395*n - 227*n**2 + 211*n = 0. What is n?\nAnswer: -5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.245*31\nAnswer: -7.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*x + 2 = 0, 4*x = 5*m - 0*m - 26. Let a be 59\/(-5) + m\/(-10). Let q(p) = -p - 11. Let k be q(a). Are 3\/2 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**3 + 0*q**3 + 6*q**3 - 11*q**2 - 2*q**2 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4048688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 + 42*d**2 - 336*d + 796. Calculate i(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 84\/(-2)) + -13. What is the highest common factor of t and 1722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83772048 is divided by 628.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6243552 divided by 2?\nAnswer: 3121776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 1, p: 1, g: 1, o: 1}. Give prob of sequence gaoa.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, 2.99, -232, 0, 1\/11?\nAnswer: 2.99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 129 - 130. Let a be ((-8)\/24)\/((-1)\/(-4)). Put 0.3, 2, a, i in decreasing order.\nAnswer: 2, 0.3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82323.\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-35) + 33*8\/(-105) + 6.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622398 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/7, 0.115, -2?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 3682356?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000285121923 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*u = -5 + 21, m + 22 = 4*u. Let n(f) = 2 - 6 + 0. Let k = 4354769 - 4354768. Let z(v) = -v - 1. What is k*n(w) + m*z(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5386 - -2906. Let j = -1765 - 3715. Let i = j - k. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, 2\/39, -11.2?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -167*a**6\/2 + 2*a**5\/5 + 323*a**2 - 469. What is the second derivative of c(l) wrt l?\nAnswer: -10020*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -6. Suppose -7185 = 14*u - 1109. Let o = u + 433. What is the biggest value in -0.2, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u = m + 100, 2*m = 4*u + 250. Let x = 184 - m. Is 21 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19822.4934 + -19796.5. Let g = 26 - q. Round g to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h + 24. Let s be v(-7). Suppose 21*g - 17*g = -s*p + 997, -p = -3*g - 315. List the prime factors of p.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 13. Is 12 a factor of x - -6 - 3*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w**2 + 5*w**2 - 22*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -102.\nAnswer: -112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 + 54. Let a = -20.788 - 0.012. Let j = v - a. What is the closest to -0.2 in j, 0.4, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.93 + -0.07. Let n = -4.6 - m. Suppose -2*j = -j. What is the nearest to j in 0.3, n, 4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 102472963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15804328?\nAnswer: 2, 37, 107, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 - 2410\/(-4). Suppose -1156 = -a*v + 598*v. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32\/(-3)*78\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:37 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 26. Suppose 5*b - 2*x - 8 = d, 18 = 4*b - x. Solve -w - b*h + 1 = w, 5*w + 12 = 2*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.4, 0.3, -3.9, 0.4 in ascending order.\nAnswer: -12.4, -3.9, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/2867533 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**1*j)*j)**25*(j**(-1))**(2\/23) assuming j is positive.\nAnswer: j**(-2\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4739 + -3198. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 13348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a year?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -386475?\nAnswer: -386455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.93 + -0.43. Let g(j) = -j**3 + 11*j**2 - 10*j + 18. Let i be g(10). What is the closest to 1 in i, p, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0)\/(-62 - (-2300)\/50)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 7*t**2 + 6. Let g(b) = -b**3 - 7*b**2 - b + 2. Let o be g(-7). Suppose -o*k - 14 = -7*k. Let c be f(k). Solve c*m - 3*m = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 + -43. Suppose 8*a = 64 + m. What is the remainder when 63 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 2:06 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*x = 0, 4*q - 6*q - 2*x - 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 6*l - 92. What is the greatest common factor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -53*a - 3324. Determine v(-65).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.470656 decades in years?\nAnswer: 4.70656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*r + 26, 0*r + 4*u + 64 = 4*r. Let q = 37 + 20. Suppose 13*z = 34 + q. Calculate the highest common factor of r and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2876*p + 44 + 2998*p - 5901*p.\nAnswer: -27*p + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*o - 5*o + 26, o = 4*v - 47. Let y be 9\/(2*2\/v). What is the units digit of y\/6 + (-1)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -51. Let l(p) = -2*p**3 + 13*p**2 + 6*p + 16. Let b be l(r). Suppose -9*x + 25 = -4*x. Solve -4*f + x = -b*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 31329089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-54)*15*-1\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -81, 2, 0.05, -0.55 in ascending order.\nAnswer: -81, -0.55, -1\/3, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -215.62 - -218. Let k = 25.099 + -22.58. Let g = k - d. Round g to two dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15605 + 15605 - 748*t as r + a*t and give a.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26952283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -156\/31, 13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-4)\/(-4)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -10775281?\nAnswer: -32325843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 775165480*z + 30044076069181520.\nAnswer: 5*(z + 77516548)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5993960, -11987957, -17981954, -23975951, -29969948, -35963945?\n\"Answer: -5993997*p + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, -2, 0.3, 19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2 + 5. Let p(y) = 4*y**2 + 3. Let q(a) = 5*p(a) - 3*r(a). Let l(n) = 72*n - 48. Let g(c) = 8*c - 6. Let d(x) = 8*g(x) - l(x). Give q(d(z)).\nAnswer: -64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c + 15 - 9 + 1 - 7*c**2 - 8*c**3. Let k be 1 - 2 - -14 - 3. Let h = k + -16. Let t(d) = 7*d**3 + 6*d**2 - 7*d - 6. Determine h*u(s) - 7*t(s).\nAnswer: -s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 11?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 70. Suppose -78 = 4*b - 5*a, 5*a - 2*a + w = -3*b. Is -20 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/4))**(10\/3)\/(g*g*g\/(g*g\/(g*g**(-12)*g))*g*g*g*g**(2\/19)))**(-6))**(-33) assuming g is positive.\nAnswer: g**(31581\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = o - 1. Let p = o + -18. Let m be (-2)\/(1*(-6 + -2)). Which is the second smallest value? (a) -2 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w + 0 - 26 = 36. Solve 4*k - w*s + 18 = 0, 4*s - 14 = k - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1290 and 11118?\nAnswer: 2390370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + 4*u**3\/3 - 7*u**2\/2 - 37*u. What is a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -21*c - 260. What is o(-13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kegkkgekgkgekkeg.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 + 75*i\/4 - 492.\nAnswer: 3*(i - 16)*(i + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -925034 - 19?\nAnswer: -925053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 = 3*u. Suppose -3*c + u*c = 0. Suppose -4*j - b + 81 = 0, j - 5*b - 8 - 7 = 0. Solve c = 3*k + 2*k + j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5)*z*z*z*z**(2\/3)*z*z*z**(2\/9)*z**(-2\/9))\/((z\/z**(-1))**27*((z*z**(-1\/5))\/z)\/(z*(z\/(z\/(z**(1\/2)*z*z*z)))\/z*z)) assuming z is positive.\nAnswer: z**(-257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 5) in base 7?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4 + 348*z**3 + 4464*z**2 - 60032*z = 0.\nAnswer: -67, -28, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 73*k**2 - 96*k + 160. Determine v(23).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2058 - -56155?\nAnswer: 54086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*d**4 + 240*d**3 + 55*d**2 - 1026*d wrt d?\nAnswer: -1368*d + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7\/i**(2\/25)*i**(2\/29)*i*i**(-1\/2)*i assuming i is positive.\nAnswer: i**(12309\/1450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943471?\nAnswer: 43, 45197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180091653?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -30) + 0 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8947564.83 to the nearest one thousand.\nAnswer: -8948000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 7. Let o be a(-6). Suppose -3*k = -o - 8. Factor 0 + 0*s - 1\/2*s**2 - 1\/2*s**k.\nAnswer: -s**2*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -394\/7. What is the third smallest value in k, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1.2, 20 in ascending order.\nAnswer: 1.2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r + 70. Calculate n(0).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2.1, 66, -0.0447, -3?\nAnswer: -0.0447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.47 - -19.331. Let f = -0.751 + o. Round f to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -17. Let u be (3 + 4)\/(1\/g). Let y be 24\/21*u\/(-10). Calculate the highest common divisor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65406409, 65406408, 65406407, 65406406, 65406405, 65406404?\n\"Answer: -m + 65406410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 1 = u. Suppose 0 = d + 5*s - 2*s - u, -d = -5*s - 13. Let n = d + -12. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744\/(-1116)*20\/(-8)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*r - 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6930?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 27529252*v + 27529248.\nAnswer: 4*(v - 6882312)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73195068997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 457*l - 455*l - 16. Solve 18*q + 10 = l*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 9*g - 8*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044 = 2*s - 43*s - 17*s for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 481596 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(-4)\/112*-28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -636, -591, -546, -501?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -10841 and -10852 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36440, -72972, -109504, -146036, -182568, -219100?\nAnswer: -255632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -6. Let s = 13 - a. Is -3 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + m**2 - 10*m - 9. What is the units digit of j(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180036 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 - 8 = 0. Let s = o - -10. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55bcd (base 14) in base 11?\nAnswer: -132416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24554952637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5108913 - 1.\nAnswer: 5108912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (170\/(-20) - 1\/(-2)). Suppose -u*r = 1178 - 8173. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/17 and 77\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -107\/7361?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12220024 - 10?\nAnswer: 12220014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 = 47. Let r = p - -15. Let k(o) = -6*o**3 + 2*o**2 + 2*o. Let l(w) = w**3 - w. Let q(n) = -k(n) - 5*l(n). Give q(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 1168 - 1532 = 0. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -69 + 5a?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1969 + -1234. Suppose -58*g = -53*g - k. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (22 - 10) + 5 + -23.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - (-104)\/28. Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 883851.\nAnswer: 5303106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -423 - -515. Suppose 0 = 2*r - 4*m - n, r - 27*m = -32*m + 74. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*k**2 + 2 - 1 + 0 + 60*k**2 + k - 165*k**2 to f*k + z*k**2 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1834 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.31 and -24\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-28)*(-3)\/(3*(-10)\/(-140))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**5\/60 + 5*b**4\/24 - b**3 - 2*b**2. Suppose 3*z + 4 = -2*j, 2*z = -3*j - 0*z + 4. What is y(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0)*(35 + -9 - 3874). Do f and 3848 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2512*y - 1352. What is the ten thousands digit of n(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 23 = m, -1667*m - 14 = -1669*m - 5*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2020, -1418, -432, 938, 2692?\nAnswer: 4830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27585 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 819? (a) 3 (b) 1\/5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4919*g + 4865*g. Let b(n) be the first derivative of 0*n**3 - 10*n + g*n**2 + 0*n**4 + 7 - 3\/5*n**5. What is the first derivative of b(d) wrt d?\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 9208, 28725, 66060, 127153, 217944, 344373?\nAnswer: 512380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -13. Suppose -5 = -2*d - m*d. Solve -d = 3*t - k + 3, 5*t = -4*k - 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3\/2)\/m)\/m*m**(1\/7))\/((((m*m\/(m\/m**0))\/m*m)\/m)\/m)**43 assuming m is positive.\nAnswer: m**(569\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 8:29 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5678 and 736359947?\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 9*h + 10. What is the least common multiple of s(-8) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**2 + 1. Let n(a) = -a. Calculate n(w(y)).\nAnswer: -7*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:50 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(110) + 2*sqrt(110)))\/(sqrt(490)*-2).\nAnswer: 3*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 112582628 * -2\nAnswer: -225165256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + p - 154 + 793 = 0, -2 = p. What are the prime factors of 2\/((-7)\/(k\/(-2)))*-1?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -13. Suppose -i - 2*i - 2*r = 15, i = r. Which is the closest to -1? (a) x (b) 2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -57094, -114159, -171214, -228265, -285318?\n\"Answer: -a**3 + 11*a**2 - 57091*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**9\/30240 + b**7\/5040 - b**4\/12 + b**2. Let x(t) be the second derivative of o(t). Factor x(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 3451054531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4adbd - -2?\nAnswer: -4adbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/7 (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.2, -4, 0.5837, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31702 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -583556 (base 10) to base 8.\nAnswer: -2163604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*c = 384 + 5498 for c.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15796 - -15795.9. Which is greater: 6816 or o?\nAnswer: 6816","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 5. Let v be i(5). Suppose -3*w + 6*w - 4*l - 35 = v, -w + 4*l + 25 = 0. Which is greater: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 120877.7l?\nAnswer: 120877700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4650\/7 - 664. Suppose -2*i - 73 + 71 = 0. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*x**2 + 182*x**5 - 26*x**2 - 740 + 4*x**2 - x**4 - 150 wrt x?\nAnswer: 10920*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.028 - 4.028. Let u be (12\/10)\/((-234)\/(-260)). Which is the nearest to -2\/3? (a) -1\/8 (b) n (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - j = -3*m - 38, 4*m - 54 = -3*j. Solve -3*r - r = 4*a, 5*r = -a + m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -5*q**7\/7 + 26*q**3\/3 - 9. What is the third derivative of o(d) wrt d?\nAnswer: -600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44704950 and 7525?\nAnswer: 312934650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(2 + -1) - -7. Suppose w*m - 5*a - 11 = 0, 3*m + 2*a = m + 2. Solve -m*q - 8 = -2*h - 2*h, -4*h - 4*q = 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 10. Let h be r(-7). Let m be ((-4)\/h)\/(1\/3). Which is smaller: m or 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.62937 less than 0.08492?\nAnswer: -40.54445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53798417*m**5 + 91*m - 122407 wrt m?\nAnswer: -1075968340*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -74? (a) 12\/7 (b) 0.42 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from bnbrbhnbrlbul?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -32. Let q = -19 + j. Which is the closest to q? (a) -2 (b) -4\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 26 = 2*f - 0*f, 0 = 4*f - 4*w + 8. Suppose 4*b - b = 18. Solve -k + 2*v - b = -f*k, -3*v + 6 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4037 divided by -1\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 + a + 2. Let l(v) = 34*v**2 + 11*v + 6. Calculate 3*j(c) - l(c).\nAnswer: -25*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - 160690*j - 1928043. Determine k(-12).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**4 - 64*a**3 - 2*a - 643*a**2 + 603*a**2 + 65*a**3 to the form u*a**2 + v*a**3 + n*a + t*a**4 + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2402*x**2 - 10*x. Let g(q) = 800*q**2 - 3*q. Let n(v) = 10*g(v) - 3*h(v). Let i(p) = 2*p. Calculate n(i(w)).\nAnswer: 3176*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -13*j**2 - 101*j - 132. Let h be i(-6). Let u be 1\/2*-1*14. Let a = u + 11. Solve z = -5*b + h*z + 20, -16 = -a*b + z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**3 - v**2 - 6*v + 7. Does 5 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -39. What is the highest common factor of w and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 - 108. Solve -3*h - 6 = -s*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u + 3. Let f be i(-3). Suppose -2*x + f = 4*r + 2*x, -2*x = r - 11. Let b be (r - 2)*(12 - -2). Do -15 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318106*h + 158487*h + 159625*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1499.9196 - -1499.8. What is the biggest value in 2, s, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3. What is the third derivative of 3*o**2 - o**4 - 2*o**4 + c*o**2 + 0*o**2 wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/5 of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*f, -4*i = -2*f - 3*f - 35. Let m(n) = 4*n**2 + 18*n**2 - i*n**2. Let y(h) be the third derivative of h**5\/60 + 3*h**2 - 23. Give m(y(w)).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/12 - 5\/12. What is the second smallest value in 5, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 14, 12, 10, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 686\/131249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19943*2\nAnswer: -39886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -18. Let p = -9.7 + k. Sort -4, 5, -5\/4, p in decreasing order.\nAnswer: 5, p, -5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4004*f - 4013*f - 639*f**2 + 8015*f)*(-3*f + 0*f + f) + (4 + 2 - 3)*(-2*f**3 - 3*f**3 + 0*f**3).\nAnswer: 1263*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 + 41*l - 319. What are the prime factors of a(-35)?\nAnswer: 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(-3 + sqrt(343))*2.\nAnswer: -13 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m + 125 - 125 + (-2 + 2 - 2)*(-4 - 2*m + 4) + 4*m - 3*m + 2*m - 68*m - 677 + 677 as u*m + h and give u.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 115*d**3 + 6*d**2 - 222*d + 1068. Is v(5) 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 uuuvvuu. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*v**2 + 7*v**3 - 2*v**3 + 23*v**4 - 24*v**4 to j + l*v**2 + d*v**3 + x*v**4 + q*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/((-1)\/3*-2). Let p be 6\/(-18) + (-7)\/q. Suppose x + 33 = 4*r, -r + 6*r = -p*x + 51. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21581 - 21572. Let k(r) be the second derivative of -q*r - 5\/12*r**4 + 20*r**2 - 5\/3*r**3 + 0. Factor k(n).\nAnswer: -5*(n - 2)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42856513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -42. Suppose -4*x - x + 50 = 0. Suppose g + x = w*g. Solve -l - 3*d = -4*d + g, l + 15 = 3*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 2*q**4 - q - 2 + 11 + 0*q**4 to the form d*q**4 + c*q**2 + k*q**3 + n*q + v and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2899644 smaller than -2899644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 266, 469, 654, 821, 970?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16804 - -16806. What is the nearest to 2 in -51, u, 11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2 and -53\/8046.\nAnswer: 8046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5422 and -452.\nAnswer: -2450744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 7*y - 5. Suppose 0 = 4*p - 3*p + 4. What is the smallest common multiple of 11 and v(p)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -366, -550, -734, -918, -1102?\nAnswer: -1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017483978 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/20 - -2)\/(-2) + 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8289945 and 366930.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let x be (-364)\/21 - 1\/j. Let s = -5 - x. Solve 0*m = -3*m + s for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence otmy when four letters picked without replacement from mdyptmo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.648 times 19?\nAnswer: -1361.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -84\nAnswer: 92.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -9*x + 47. Calculate the remainder when 237 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r + 109*r - 3378983 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581034 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)**(-24)*v\/v**(-3\/2)*v*v**(-2\/7))\/(v**(1\/3)*v**(-8)*(v\/v**(2\/5))**(5\/2)) assuming v is positive.\nAnswer: v**(-307\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*(222\/(-12) - (3 - 1)). Calculate the highest common divisor of 41 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 10465\/16239?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**3 - 7*z**2 + 2*z. Let m(o) = -4*o**3 + 8*o**2 - 3*o - 1. Let v(f) = 4*m(f) + 5*y(f). Suppose -3 = -0*s + s. Is v(s) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*l**3 - 30560*l**2 - 3594325*l - 552250.\nAnswer: -5*(l + 235)**2*(13*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/18 + (-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -47?\nAnswer: -10\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 14962899?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4062 - 263*f + 4062)*(0*f + 5*f + 3*f + (2 + 1 - 1)*(f + 1 - 1) + 0*f + 0*f - 2*f).\nAnswer: -2104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/140 and (-6)\/(-14)*17\/510*-83.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 231637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 5*q**2 + 0*q**2)*((-q + 2 - 2)*(2 + 2*q - 2) + 4*q**2 - 3*q**2 - 3*q**2 - 6*q**2 + 2*q**2 - 3*q**2).\nAnswer: -22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8639431um to meters.\nAnswer: 0.0000008639431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 1 + 2)*(-13*i + 13*i - 10*i**2) - 11*i**2 - 15*i**2 + i**2 to the form p*i + n*i**2 + w and give n.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**4 + 12*m**3 + 33*m**2 + 18*m = 0. Calculate m.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*j = -4. Let k(u) = -2*u - 3. Let y be k(-2). Let p be (8 - y)*3 + 3\/1. Solve -4*t - 4*w = -p, -j*w - 2 + 9 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (sqrt(700) + 2 + sqrt(700) - sqrt(700))*-5)**2 - ((sqrt(84) + 2*sqrt(84))*4)\/sqrt(12)) + 1.\nAnswer: 1188*sqrt(7) + 25301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19101492 divided by 10.\nAnswer: -9550746\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3652794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18025.983ms?\nAnswer: 0.0002086340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3667 and 216158649.\nAnswer: 3667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.11 and -2.587.\nAnswer: -2.87157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 75. Suppose 3*x - j + 3*j = -47, 3*x + 55 = 2*j. Let m = x - p. Calculate the least common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 6. Let v be t(0). Suppose -4*h = 5*f - 32, 5 = 5*f - 3*h - v. Solve 7*l - f*l = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*g + 237 = 5*h, 0 = 2*h - 3*g - 161. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/3*11*6. Suppose -5*o + 3*l + n = 0, l - 24 = -2*o + o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4*(-2478)\/14 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -1. Let q(g) = -5*g + 5. Let s(p) = 2*o(p) + q(p). Calculate the remainder when 12\/10*(-1700)\/(-60) is divided by s(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vyvyvvv.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 163 - 93. Let n = h + -68. Let f(u) = -8*u - u**2 + 2 + 22*u - 16*u. Let y(v) = -2*v**2 - 5*v + 5. Give n*y(l) - 5*f(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524 = 3*k - 5*r + 7*r, -r = -3*k + 530. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-37)\/(-74))\/(35\/40))\/(1\/2). Let m(v) = -2*v. Let o be m(1). Let a be (-1)\/(-2)*(-2 - o). Which is smaller: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d**2 - 6*d**3 + d**3 + d - 12*d**2 + d - 1. Suppose -19 = h + 4*t, 2*t + 2*t = 3*h - 23. Give y(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757 - 7.03605.\nAnswer: 749.96395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5973421 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4737076, 4737092, 4737120, 4737166, 4737236, 4737336?\nAnswer: 4737472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 20*l**2 + 5*l. Let j(w) = -2*w**3 - 10*w**2 - 2*w. Determine -9*j(h) - 4*z(h).\nAnswer: 2*h**3 + 10*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 2*w, -5*w = k - 2*k. Let t = -113 - -114. Sort t, -3, k in increasing order.\nAnswer: -3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -607\/401, -174\/13 in ascending order.\nAnswer: -174\/13, -607\/401, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3 - -1) + -4 + -2 + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 15*w + 9. Let f be o(-12). Let g = 473 - 500. Is f less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**2 + 13*r + 18. Suppose -5*b - 3*y - 81 = y, 2*y = -2*b - 32. Is k(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -128607, -257186, -385765?\n\"Answer: -128579*x - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -177371, -354737, -532099, -709457, -886811, -1064161?\n\"Answer: 2*y**2 - 177372*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 32154.\nAnswer: 1575546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17170 (base 9) in base 3?\nAnswer: 121012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 18 = -9*j. Suppose 2*b + 3*p = 11, b - 2*b + j = 5*p. Let -2\/7*x**3 + 0*x + 0*x**2 + 0 - 2\/7*x**b = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -566 (b) 2\/863 (c) -0.4 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 + j**4 - 6*j**3 + 2*j**2 + 5*j - 3.\nAnswer: (j - 1)**3*(j + 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 14 = 20. Suppose -2*d + 14 = -r, g*d - 3*r = 6*d - 18. Suppose -d*m + 14 = 8. What is the smallest common multiple of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419635718?\nAnswer: 2, 17, 139, 88793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 0 - -18) + 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9)\/(10\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 15. Let o(f) = -2*f + 7. Determine 9*o(a) + 4*u(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-8 - -9 - (-15 + 13 + -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 3. Let l be t(-4). Let b = 12 - l. Let a be -2 + 15\/9 - 0. What is the second smallest value in b, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -4\/5, -481.66, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139141790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11 + 15 - 18*q**2 - 2 - 3*q. Suppose -5*z - 30 = 5*m, -3*m = 2*z + 14 + 1. Let b be s(m). What is b rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/6*-6 + ((-1547)\/(-21))\/(-13)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 46. Find m, given that -c*m**2 + 10*m**3 + 9*m - 4*m**4 + 10*m**3 - 8 + 19*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*s - 4*d, 3*s + 5*d - 55 = -s. Suppose 14 + 1 = 3*a, 2*a + s = 5*g. Suppose 1 = -2*l + g. What is the greatest common factor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2586 = 52*s - 46318. Does 29 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4*g**2 + 8 + 0*g**2 - 1 to the form u*g**2 + h*g + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411*n - 36 = -407*n, -n - 1354950009 = 5*o. What is o rounded to the nearest 1000000?\nAnswer: -271000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89905606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2013.7 + -2013.8. Let g(w) = w**3 + 12*w**2 - 14*w - 17. Let v be g(-13). Which is the nearest to k? (a) 4 (b) v (c) -0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 14*y**2 + 58*y + 7. Calculate the lowest common multiple of 41 and i(7).\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7\/52 + -83\/156. Which is the nearest to 4? (a) 5 (b) 0.2 (c) n (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/231?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 10*c + 7*c + 164 = 0, -l + 87 = 4*c. Solve -l*p = -66*p + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 188, 371, 616, 923?\nAnswer: 1292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.869029 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*k - 30*k - 26*k - 36. Solve 6*t + 10 = -2*n + 2*t, -3*n = k*t - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0277 or 2176?\nAnswer: 2176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 48, 87, 126, 165?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 4*h - 113. What is b(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - z = -1, 6*a + 3*z = 3*a - 9. Let y(b) be the second derivative of -b**5 + b**4\/12 - b**3\/6 + b**2\/2 + 68*b. Calculate y(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -41*v + 574. Determine s(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**3 + g**2 + 4*g + 3. Suppose -2*u - 6 = -2. What is f(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70132 - -136511. What is the remainder when h is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:20 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(40)\/sqrt(5))) + 5.\nAnswer: -2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 92*i**2. Let j(f) = -31*f + 9. Let z(x) = -14*x + 4. Let r(d) = -35*d + 219. Let m be r(6). Let n(c) = m*z(c) - 4*j(c). What is g(n(h))?\nAnswer: 368*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 22 + 5*p)*(-2*p - 3*p + 6*p + (3 - 4 + 3)*(0*p - p + 0*p) - 20 + 32 + 24*p - 9).\nAnswer: 115*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:31 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100002 - 12020?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.996535 years in months?\nAnswer: 71.95842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*i**2*r + 11458911*i**2 + 32214*i*r + 13*i - 433*r wrt r?\nAnswer: 5*i**2 + 32214*i - 433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 70687612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6818 is divided by (142 - 32) + 0\/3?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - 5447327?\nAnswer: -5447366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9698 - -0.199\nAnswer: 9698.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -1 + 0 + (269 - 260).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -2 (c) -1.514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*p + 74*p - 3*v + v = -50, 44 = -2*p - 4*v for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3*i - i)*(10*i - 24 + 24)*(-1 + 2 + 0).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 4 (c) 77 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-5 - (1 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 0.2, 1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141912764 divided by 35478191?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2064\/(-8514))\/(2\/(-11))*(-66)\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20059, -20104, -20149?\nAnswer: -20194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -62515\nAnswer: -25006","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -352\/27 + 5329\/270. Let u = 2746 - 16519\/6. What is the common denominator of r and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -5) + (-5 - -3). Let b(q) = -1 - g - 34*q - 10*q + 4. Is b(-1) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69814979?\nAnswer: 13, 1549, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**6\/10 + j**4\/4 + 647*j**2 + 1011*j. What is the first derivative of g(i) wrt i?\nAnswer: -12*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 26*n + 25. Let t be o(-26). Let a = -1 + 4. Suppose 2*m - 50 = -a*m. What is the highest common divisor of t and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4*k - 76 = 11*r - 16*r, r + 111*k = 2109 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l - 523*v - 8 = 63*l - 524*v, -l = -v + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741787310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*f + 29*f + 1270 + 2462 = 0 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round 144694 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - v**2 - v + 17. Let a(i) = -i**3 + 6*i**2 + i - 6. Let k be a(6). Let q be s(k). Calculate the highest common divisor of q and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**3 + 5*o**2 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 2*i - 18, 0 = 3*w - 7*w + 5*i + 24 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 57 - 52 = 0. Let r = 3 - 3.3. What is the second smallest value in -2\/13, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-1\/2))**25 assuming u is positive.\nAnswer: u**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 9 = 22*c. What is the highest common divisor of c and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -23*j + 7 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340 (base 6) to base 3.\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035464 minus 0.3?\nAnswer: -0.335464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 27*m**2 - 16*m**2 - 1 - 4607*m.\nAnswer: m**2 - 4607*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 20, 4*u - 4 = 3*u - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubnyyfbuyoyfybbo. Give prob of sequence ofbo.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 2, 8, 18, 32?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48, -34, -22, -12?\n\"Answer: -r**2 + 17*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 16. Let y be (f + -98 + 0)\/1. Let w = -4 - y. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2222.2041 and -1.6.\nAnswer: -2223.8041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2528064 rounded to the nearest 10000?\nAnswer: 2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-5))\/((-12)\/15 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 10 + 9*y + 8*y - 4 + 15 as c*y + w and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -14690\nAnswer: -1\/7345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 - -769. Suppose 3*l = o - 37. Factor -8*k**3 + 136*k - l*k + k**3 + 27*k**3 + 4*k**4 + 12*k**2.\nAnswer: 4*k*(k - 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30631*k**5 + 3*k + 1151.\nAnswer: 612620*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107148187*h**2*q**2 - 16*h**2*q - 23*h*q - h + 1905*q wrt q?\nAnswer: -214296374*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*q + f, -5*f + 12 = 3*q - 0*f. Let j be (-24)\/40 + (-12)\/5. Put q, 2, j in increasing order.\nAnswer: j, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) 1.4271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**3*s - 18*d**3 - 13*d**2*s - 2*d**2 - 312*d*s - 4*d + 8*s - 3 wrt d.\nAnswer: -18*d*s - 108*d - 26*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125380, 250752, 376124, 501496, 626868, 752240?\nAnswer: 877612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1 + 7*d - 1 + d. Let j be q(1). Suppose 0 = 2*u - 4*z + 719992, 2*z = -2*z - j. Round u to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2555*m + 10597*m**3 + 1285*m + 10593*m**3 + 1270*m - 21191*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or 5648?\nAnswer: 5648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 385 and -59.781609.\nAnswer: 325.218391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743605.\nAnswer: 5, 148721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/(-4) + (-186494)\/2422\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 325 - 3409 = 5*r, 3750 = -5*r - 5*u. What is the common denominator of (-1910)\/r + (-6)\/(-33) and 31\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 5787346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 86 - 49. Let x be (a\/12)\/((-9)\/24). Solve -14 = y + 3*o - 4, x = -5*y - 4*o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -77*r**4\/4 - 2*r - 241. Let z(v) = v. Give z(c(a)).\nAnswer: -231*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0) + 3 + 37 + -9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-12) - 0) + (-5)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3 + 4 - 3 + 1 + (1 + 0 - 2)*(0 - 2 + 4) + 4 - 4 + 1)*(0*y + 0*y + 2*y**2) in the form c*y + b + x*y**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**2 + 26*o. What is b(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x = -74*x - 3. Suppose -10*u - x = -21. Suppose 93 = u*t - 2*j - 11, 3*t - 180 = -5*j. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**27*(u**(-1)*u)**(1\/39))**44 assuming u is positive.\nAnswer: u**792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 - 73. Let l(x) = x**2 - 2. Let p be l(2). What is the units digit of (-2)\/r + (p - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 10 - (-26 + -8 - -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4833 + 4911. Solve 68 = 95*z - s*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 13005*x**3 + 3*x**2 + 14994*x**3 - 2*x**2 - x**4 to the form t*x + f*x**4 + d*x**2 + m + p*x**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-157035)\/3045 + 59 + -8\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545929909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*f + 4*t - 66, -f + 3 = -4*t. Calculate the remainder when 65 is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 10 - 3717*q - 12.\nAnswer: -3717*q - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/7*q**3 + 6602406\/7*q + 6294\/7*q**2 + 2308641298\/7 = 0 for q.\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998 a factor of 1764587949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6734 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1893593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 180*i - 1. Let c be q(1). Let r = -62 + c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68, -124, -178, -230, -280, -328?\n\"Answer: w**2 - 59*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.859 - 58.159. Let a = b - -51. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*x + 2*x + 20 = 0, 0 = -5*u - 5*x + 30. Solve -f - 5*r = u*f + 1, f + 4*r = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -3\/40*t**6 + 1\/2*t**4 + 1\/112*t**8 + 0*t + 0 - 2*t**2 + 1\/5*t**5 - 1\/35*t**7 + 0*t**3. What is b in i(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1 + f**2 + f**2 - 1 - 3*f. Let k(l) = -5*l**2 + 7*l + 5. Let b be (-9)\/(-5)*(76\/12 + -3). What is b*k(c) + 14*z(c)?\nAnswer: -2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4\/981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12.96 (b) -5\/17 (c) -17 (d) -4\/9 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 3*h**6\/20 - h**5\/20 - 3*h**4 + 2*h**3 + 231*h**2. What is i in u(i) = 0?\nAnswer: -2, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 11) to base 6.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 4. Let t be l(0). Let i = 6777 + -6778. Which is the closest to 23? (a) t (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1422 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 37*j**2 - 66*j - 155. Let w(h) = 20*h**2 - 36*h - 78. Let l(r) = 6*u(r) - 11*w(r). Let l(g) = 0. Calculate g.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*d + 912 = -d, 228 = g + 4*d. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -32. What is the remainder when 116 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - 2*t**4 + 6*t**4)*(-1 + 1 - t)*(334 + 233 + 1427 - 191).\nAnswer: -3606*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2862430 to the nearest 10000.\nAnswer: -2860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 1. Let s(b) = -b**3 + 4*b**2 - 2. Determine 2*d(w) - s(w).\nAnswer: w**3 - 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6076911*a**2. Let q(v) = -3*v. What is s(q(p))?\nAnswer: -54692199*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34.2, 5, 2, -0.4, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 8*b**5\/3 + 460*b**4 - 7924*b**3\/3 - 5440*b**2 + 9968*b\/3 = 0.\nAnswer: -178, -2, 0, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21 or -2\/255?\nAnswer: -2\/255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g = -75*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.26 + 0.34. Let h be (-22)\/48 - 7\/(-42). Let b = h + 1\/8. Is b != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d\/d**(2\/43))\/d*d*d))\/d**(-2\/63))\/(d\/(d*d**5)*d*d\/(d\/d**(14\/5))*d))**16 assuming d is positive.\nAnswer: d**(-156416\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6371)\/(-161) - 13 - (-39)\/91.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*1*6)\/(3*sqrt(225)).\nAnswer: 7*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 - -70. Let a be n\/12*(1 - 3). Solve 0 = -r + a - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2 - 13. Let o be u(9). Suppose -o = -0*j - 8*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-25 + 16 + 23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*n - 2 = 192*n. Suppose 0*l**n + 0*l + 1\/5*l**4 + 0 + 1\/5*l**3 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 583\/2 - 285. Find the common denominator of z and -71\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + 48. Let q(h) = 2*h**2 - 4*h - 12. Suppose -14 + 24 = 2*j. What is the remainder when x is divided by q(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.35, -3, 0.5, 1\/8 in descending order.\nAnswer: 0.5, 1\/8, -0.35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 571\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1584\/3745 - -3\/535. What is the closest to -1\/4 in -216, d, -2\/21, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + u + 3*u**3 + 1 + 0.\nAnswer: 3*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-340)\/4080*((-6)\/(-10))\/(3\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5dcfb5 (base 16) in base 8?\nAnswer: -27347665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 - 8*i + 4. Let q be p(-9). What is the smallest value in 6, -6, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12.5, 0.2, -5\/257 in decreasing order.\nAnswer: 12.5, 0.2, -5\/257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j - 0. What is the smallest value in j, -0.4, 2, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 35*u**4\/2 + 2*u**3\/3 - 17*u**2 - 26. Find the third derivative of d(r) wrt r.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 - 57. What is the third derivative of -7*d**6 - 166*d**2 + 39*d**6 + s*d**2 wrt d?\nAnswer: 3840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2255, -4548, -6885, -9272, -11715, -14220, -16793, -19440?\nAnswer: -22167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -14 + 4. Suppose 0 = -n*o + 24 - 9. Determine j so that 0*j + 0*j - 5*j**4 - 2*j**o + 0*j**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 - 1990*l\/3 - 898216\/3.\nAnswer: -(l + 692)*(l + 1298)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.447 (c) -0.3 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -151525044 divided by 47322?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 609*p*y**2 + 6*p + 20*y**2 - 96*y wrt p?\nAnswer: 609*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0358\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) -1 (c) 4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4)*18\/150.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u. Let s(l) = -l**3 - 6*l. Give -5*s(w) - 6*z(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 12*s**2 - s - 12. Let n be v(-12). Let t be (n - 0)\/1 + 2. Suppose -t*q + 10 = d - 6*d, -3*q - 10 = 5*d. Solve q = -l - 3*l + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 3. Let x be s(10). Solve -x*c = -2*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 6 = -2*t. Let u(h) = 13 + 6 + 4*h - t*h. What are the prime factors of u(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212334010 (base 5) to base 13\nAnswer: -25796b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*c + 5818 = 3871 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423225 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, a: 2, n: 8, e: 1, r: 1}. What is prob of sequence naa?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277295 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 7*q + 8. Suppose 51 - 21 = 5*g. Let c be k(g). Suppose 23*f = 20*f + 42. What is the greatest common factor of f and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14213204231 - -3?\nAnswer: 14213204234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5285453894.\nAnswer: 2, 7, 73, 738811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.2. Let r be 59\/(10030\/(-1547)) + 9. Sort -0.4, y, -1\/6, r in descending order.\nAnswer: y, r, -1\/6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23696 take away 4.2193548?\nAnswer: -4.4563148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3930.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -146, -147, -166, -209?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.01 (b) 0.3 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = 1. Solve -h = -2*h - w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -359*t - 44524. Give w(-124).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -165522, -165538, -165568, -165618, -165694, -165802, -165948, -166138?\n\"Answer: -a**3 - a**2 - 6*a - 165514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65b39 (base 12) to base 2.\nAnswer: 100000111000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81296, -81314, -81346, -81398, -81476?\nAnswer: -81586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 11*y - v + 8 = 7*y, -2*v = -5*y - 46 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 - (-291)\/(-45). Let d = -17\/3 - u. Let y = -3\/40 - d. Which is the nearest to 1\/3? (a) y (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 54c6996?\nAnswer: -54c6997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.31 + -1.69. Let n = 0.02 - 0.62. Let i = 0.1 + n. What is the closest to 5 in i, -3, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 2:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/(-6) + (-15 - -12))\/(15\/36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 15. Suppose 0*m = 2*m - 4. Suppose 2*z + k = 5, b*k = -m*z + 2*k - 4. Calculate the highest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208574695 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/37, -4.5.\nAnswer: -4.5, 2\/37, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370 + -349. Does 50 divide ((2900\/7)\/5)\/(6\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 6*u - 7. Let i be o(5). Let b = 6 - 5. Let q(w) = w**2 - 6 - b + 3 - w + 2. Determine q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/35999 and -155\/2375934.\nAnswer: 2375934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85 - -1) + 3 - (117 - 144)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220232 - -311330023?\nAnswer: 311103131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3362687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 - 3*y**2 - 5*y + 2. Let o be b(3). Suppose 0*u + o = 4*u. Calculate the highest common divisor of 119 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781 is divided by 98?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802542 is divided by 2912?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 3*l + 5*q + 54, -4*q - 38 = 2*l. Is 567\/(l\/(-2) - 3 - 2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3)*p*p*p**(-15)*p)\/(p\/((((p*p**(1\/41)*p)\/p)\/p*p)\/p)*p)**(-3\/28) assuming p is positive.\nAnswer: p**(-15829\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175\/2 - 86. Which is the third smallest value? (a) u (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168\/13 > -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txx. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000031827162 rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*k**4 + 90633*k**3\/4 - 63804*k**2 + 130497*k\/4 + 17019\/2 = 0. What is k?\nAnswer: -1891, -3\/16, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 971, 1034, 1149, 1310, 1511, 1746?\n\"Answer: -i**3 + 32*i**2 - 26*i + 966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26273 is divided by 585.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*o - 18 = -177*o + 3*g, 22*o + 5*g + 64 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*l = 34. Suppose -5*t + 13 = -l. Let g be 3\/(t*(-5)\/(-4)). Which is the third smallest value? (a) 3 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 15988.\nAnswer: 399700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 11*s - 4*g = 4, g = 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.7. Let r = 5.14 + -4.84. Sort 0.2, -2\/9, r, p in decreasing order.\nAnswer: r, 0.2, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603109799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:31 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b - 6*b + 177*b to q + c*b and give c.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9)\/((-3)\/9). Sort 0, 4, 3, k in decreasing order.\nAnswer: 4, 3, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2. Let s(n) = 2*n + 3. Let y(g) = s(g) + 4*t(g). Let o(q) = -q**3 - 5*q**2 - 4*q - 5. Let w be o(-4). Let f be y(w). Solve -f = -j - 0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -628 + 630. Suppose -r + 4*m + 40 = -0*r, 5*r = 2*m + 110. Calculate the smallest common multiple of x and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -471 - -546. Calculate the highest common factor of y and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6899387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/10, -1, 3\/5, -0.3 in increasing order.\nAnswer: -13\/10, -1, -0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4821.577 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -756835 divided by -151367.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19970*u - 19978*u + 54144. List the prime factors of u.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 3186*a\/13 - 28512\/13.\nAnswer: -2*(a - 1584)*(a - 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22*w + 7*w**2 - 8*w**3 + 12*w**3 - 3*w**3 - 8 - 18*w. Let p be q(-6). Let t be 0 + 2 - (1 + -11). Calculate the highest common divisor of p and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 24 - (3 + (2 - (8 - 0)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1276096621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 0\/(-2 - -5). Suppose -v = v - t. Let m be (v\/(-3))\/(1\/(-5)). Which is the second smallest value? (a) 0.3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 84580 divided by -5\nAnswer: -16916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*h - 47 - 5, -5*h - 3*j = -54. What is the highest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, s: 1, j: 1, x: 1, r: 2}. Give prob of picking 1 i and 2 r.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -48, -52, -56, -60, -64, -68?\n\"Answer: -4*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-8) + (-3492)\/(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -9. Sort -4, 1, l in descending order.\nAnswer: 1, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*o - 5*o - 1, 5*o = -45. Solve 0 = -r*l + 5*p - 10, -2*l = 2*p - 15 + 11 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from ddddddddydddd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5532 - -0.1168. Let l = 4.07 - c. What is the closest to -2\/3 in l, -3, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/150 - 13*f**4\/60 + 22*f**3\/15 - 84*f**2. Find y such that c(y) = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 16909?\nAnswer: 5\/16909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11522 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p = 991 + 494. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -863, -7143, -24243, -57575, -112551, -194583, -309083, -461463?\nAnswer: -657135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) 4 (c) -2 (d) -0.3 (e) 0.028\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -56. Solve 14 = -4*y - f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1929, 1805, 1751, 1773, 1877, 2069, 2355?\nAnswer: 2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f + 51. Let d = -7 + 4. Let a be 2\/d + f\/9. Solve a*t = -3 - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 56960?\nAnswer: 21\/56960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 - 8*i + 9. Let s be o(7). Let g be (1 + s + 2)*-3. Calculate the common denominator of (-14)\/(-12)*g\/(-21) and -29\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 25800.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*v - i, 5*v - 4*i - 20 = i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11221662269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -14.1, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*j - j**2 - 44*j**2 - 10*j**3 - 18*j**2 + 24 - 15*j - 3*j**2.\nAnswer: -2*(j + 1)*(j + 6)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(2 + 13). Suppose s*q + 20 = 0, 3*z = -0*q + 2*q + 8. Suppose y + 0*y - 1 = z. Solve 0 = -v + y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 10635\/2039?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1637*m - 818*m - 21*m**2 - 821*m. Let z(s) = 10*s**2 + s. What is -4*a(f) - 9*z(f)?\nAnswer: -6*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.130358404 - -5172.126737404. Let m = -5171 + d. Round m to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**0)\/u)\/u)**(-48))**8*(u**0)**39*u**(-2\/3)\/u**(-2\/19) assuming u is positive.\nAnswer: u**(21856\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -37*k + 43. Let q be u(-5). List the prime factors of (q\/(-44) - -5) + 3456\/11.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7.156, -1, 0?\nAnswer: 7.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, q: 7}. What is prob of sequence mqm?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 5*g**2 + 5*g - 1. Suppose 0 = -3*d + 3*m - 12, m = -2*d + 6*d + 22. Let x be z(d). Suppose -o = -v, -o + 4*o = 5*v - 8. Is o > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 724.3, 0, -290.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*2 + -4 + 4 - (-4 + (1*sqrt(209))\/sqrt(11))*4)*-5.\nAnswer: -50*sqrt(19) - 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 13546?\nAnswer: -13541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 - 2*a**3\/3 - a**2\/2 + 6. Solve h(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-7) + 5 - (-1)\/(-7). Is -1 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (364\/39)\/(147\/(-504))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 163. Let u = v + 161.1. Which is the nearest to u? (a) -3 (b) -1\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.92 to 1 decimal place.\nAnswer: -23.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 131, 125, 115, 101, 83, 61, 35?\n\"Answer: -2*v**2 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = 5*n, -4*y - 3 = n - 22. Suppose -2*b + y*b + 290 = 0. Let h = 227 + b. Calculate the remainder when h is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24258838 to the power of 1\/3, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916 is divided by 90.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013569778 to five decimal places.\nAnswer: 0.01357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/6, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 - (6 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 437 + -708. Let t = u + 468. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1) + ((-15)\/(-3))\/((-5)\/(-2)). Which is the fifth biggest value? (a) o (b) 1\/16 (c) -2\/5 (d) 3 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 168*c**2 + 47*c - 1. What is the smallest common multiple of b(-1) and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8974.384 days in milliseconds?\nAnswer: 775386777600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*j + 1624, 4*j - 3*u = -5*u - 3254. Let q = j - -1551. List the prime factors of q.\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**3 + 15*k**4 + 3*k**3 - 33*k**4 + 17*k**4 - k - 87 + 2*k**3 as c + w*k + f*k**4 + r*k**3 + z*k**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 12*o**2 + 9*o + 25. Let z be n(11). Let d(u) = -u**3 - 3*u**2 - 2*u + 2. Let r be d(-2). Suppose -r*a - 37 = -z*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1689 + 434.8711. Round m to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 8717*k**2 - 8717*k**2.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 13 - 8. Put v, 5, -9 in decreasing order.\nAnswer: 5, v, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by (52\/(-6))\/13*147\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -37. Calculate the remainder when 38 is divided by (-4 + o)*8\/10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 4, l: 3, p: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 17*w + 16 = -12*w, 3*i = -i + 4*w + 32 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 + 119 = -4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -227114122992?\nAnswer: 227114122987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4 + 30*d**3 - 28*d**2 - 102*d - 40 = 0.\nAnswer: -1, -1\/2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (819\/(-84))\/13*2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-357)\/12)\/(-17)*(-60)\/(-14).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -220730651 - 791179?\nAnswer: -221521830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -7 - 51139\/(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -z**7\/420 + z**6\/240 + 10*z**2. Factor c(y).\nAnswer: -y**3*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128 or 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-21))\/((-3)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1\/5, 0.09?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1035 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012152133 rounded to four decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-105))\/(1\/(-6)). Which is the closest to i? (a) 0.5 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*s - 3*a - a, -5*s + 8 = 4*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 2*x - 11 + 11 - 5869372*x**2 + 5869656*x**2.\nAnswer: 284*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Let l = -6 + o. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-1 - 2 - 2) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/24 + (-7 + 9 - 12) + -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28078.\nAnswer: 2, 101, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5708 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8*b + 4*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000000101001 - -100?\nAnswer: 11000000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1947 + -1.8053. Which is the second smallest value? (a) 1 (b) -1 (c) -5\/16 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m + 1 + 13*m - 12*m.\nAnswer: 17*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -950691, -1901380, -2852069, -3802758, -4753447, -5704136?\n\"Answer: -950689*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*t. Suppose -6*q + 27 + 9 = t. Calculate the greatest common divisor of q and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317 and 298150863?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 5*h - 2. What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -16*k + 240. Calculate t(13).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pggpgggpgppggg. What is prob of picking 2 p and 2 g?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.12 (b) -2\/13 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.851057 nanograms in grams?\nAnswer: 0.000000001851057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 6. Let b be (1\/1)\/(6\/18). Let k = 3 - b. Give p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.04 + 0.04. Let j = i - -5. Let k = -30 + 29.9. Which is the closest to k? (a) 2 (b) j (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 3\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.45 and 0.1.\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from dkklk.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Let f be (14 + 1)\/((-3)\/(-46)). Let d be 30\/345 - 158\/f. What is the closest to -2\/3 in 0.01, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -241 + 1073055?\nAnswer: 1072814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.666113 - -51.639. What is o rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55457591.\nAnswer: 7, 89, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 10:50 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002709363218 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 19 (b) -1 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 13*a**2 + 18*a + 7. Suppose -18*i = -15*i - 39. Let w be d(i). Let g = -137 + w. Is g a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-33)\/(-99)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -546 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1562*f**3 + 2215*f + 7632631 wrt f.\nAnswer: -4686*f**2 + 2215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -y - 18*y - 4*y - 26*y as m + g*y and give g.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:30 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.006791?\nAnswer: 0.0013582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*m + 0 - 20 - 3 wrt m.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + -0.81. Let a = -4 - -4.6. Let q = a + b. What is the third smallest value in -1\/2, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 4. Let b(t) = -1221*t - 24. Determine -b(i) - 6*z(i).\nAnswer: 1203*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775162 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3510823*j**2*r - 15182*j*r + 112*r wrt j?\nAnswer: 7021646*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 565280.6g in micrograms?\nAnswer: 565280600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2\/7, -2, 436, 109, -7 in descending order.\nAnswer: 436, 109, -2\/7, -4\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2790, 10543, 23256, 40929, 63562, 91155, 123708?\nAnswer: 161221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(8\/4 + -1). Let d be 23\/l + 2\/5. Factor -6 + 2*v**3 - 3 + 0*v**2 - v**3 + d*v**2 + 3*v.\nAnswer: (v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v + 3*v - 10*v + 3*v + 10*v**2 + 14*v**3 + 1 in the form p*v + d + n*v**2 + q*v**3 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3, -1541, -5, 4, 12 in ascending order.\nAnswer: -1541, -5, -4, -3, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1591 and 218139?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.005555*-0.0397\nAnswer: -0.0002205335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 12) to base 6.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwwqq?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*w = 93, 2*w + 41 = 5*v - 58. Suppose 0 = 3*h + 5*f - v, -3*h - 3*f = -7 - 20. Calculate the highest common factor of 30 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -542170.501 and -5.\nAnswer: 2710852.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5.35. Let b = 0.34884 - d. Round b to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {r: 8, h: 2, p: 1, e: 1, x: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khu when three letters picked without replacement from {u: 4, k: 5, b: 2, h: 2, p: 1}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 101110111001?\nAnswer: -101110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246467?\nAnswer: 13, 18959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*q - 5 - 30 = 0, -2*q - 19 = -3*l. Let d(w) = -2*w - 5*w + 3*w + 20 + 55. Let v be d(18). Solve 0 = -l*c - 5*n + 30, 4*c - 5 - 15 = -v*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:40 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 173 and -778227103321.\nAnswer: -778227103148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 24*t + 27 - 3*t + 3*t + 4*t + (2 + t - 2)*(2 - 1 + 1).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 4*f - 4. Let y be p(3). Let i be (-2 - y\/2)*-1. Let v be (-9)\/i*(-2)\/(-3). Solve v*h = h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -230, -1, -25805, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -2\/5, -4\/7, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 14 = 4*p, 12 = -3*d + 7*d + p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 12, 2\/13?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 12:36 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l + 1, 4*n - 16 = 2*l. Let o(p) = 8*p + 11. Let j be o(-1). Let y be 14\/(j*(-18)\/(-81)). Solve 3*f + y = n*a, -3*a - 2*f + f + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48042 and 0.52?\nAnswer: 48042.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 10*d + 222 = -27*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 750a (base 12) to base 14\nAnswer: 4962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1077\/7 + -153. Suppose -6\/7*l**4 + 6\/7*l**3 - 3\/7*l**5 - 3\/7*l + 12\/7*l**2 - r = 0. What is l?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 257369 (base 12) to base 16\nAnswer: 95e41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s + 9. Let l(g) = -7*g - 7. Let d(m) = -6*l(m) - 5*p(m). Find the first derivative of d(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14421 (base 6) to base 10.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2480981*v + 29771761. What is d(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Let p = 8610 + -8608.9. Which is the third smallest value? (a) -6 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.04 - -2.96. What is the third smallest value in 4\/7, 5\/2, -0.2, r?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391946447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351.2 + 351.1. Let r = -5 - -6. Which is the closest to 0.02? (a) r (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/11)\/v*v**(5\/2)\/v)\/(v\/(v**(1\/5)\/v)*v*v**(-6)) assuming v is positive.\nAnswer: v**(537\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -269*i*k*l**2 + 2*i*l**2 + 1341*i*l + 8*i + 3*k*l**2 wrt k.\nAnswer: -269*i*l**2 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 10*a + 9. Let c(k) = k**2 - 8. Let b be c(0). Let j be d(b). Which is smaller: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 20*b**2 + 9. What is the hundreds digit of x(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwhu when four letters picked without replacement from wwuwhthuuulhu?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 12. Let v be (-4)\/18 + 87\/27. Suppose -q*j - 19 = -v*p, -3*j - 17 = -6*p + p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 908319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(3) - (sqrt(3) + 4)) + -3 - (sqrt(363) - (1 + sqrt(363)) - sqrt(12)\/(sqrt(8)\/sqrt(2))))**2 + -5.\nAnswer: -20*sqrt(3) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**2 - 15*o - 11. Let l(i) = -4*i**2 - 5*i - 4. Let v(y) = -3*b(y) + 8*l(y). Let p be v(-6). Let n = -4367 - -4367. Solve n = p*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, r: 5, a: 3, c: 2}. Give prob of picking 1 c and 1 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3 + 3390*k**2 + 86998*k + 350490 = 0. What is k?\nAnswer: -1669, -21, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 772.7788 litres?\nAnswer: 772778.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x**2 + 6*x**2 + 34*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 6*w = -20*w + 6*k - 103, -21*k = -2*w - 368 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from bnlnnrrrbnnnlqnr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r - 6. Let a(h) = h - 1. Let b(y) = 6*a(y) - x(y). Let d(c) = -10*c + 4*c - 4*c**2 + 6*c. What is b(d(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25340.9688 milliseconds in weeks?\nAnswer: 0.00004189975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) + -1*sqrt(588))\/sqrt(6) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 4, 5\/2, 1\/4, -8 in increasing order.\nAnswer: -8, 1\/5, 1\/4, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 244135134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/13, 2\/13, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 6055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 12*a - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 23 + 99*l - 134*l + 112*l + 55*l.\nAnswer: 132*l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -60. Solve 3*f - 3*r = 0, -3*r = -d*f - 0*f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53030843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11281726*f**3 + 15*f**2 + 6*f - 10241 wrt f?\nAnswer: 67690356","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express 78 - 2*n - 78 in the form u*n + q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55.25 - 55.71. Which is smaller: -54 or d?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 - 2*l + 1. Let c be k(2). Let i = c + -3. Suppose 5*b - 55 = -i*f, 5*b + 20 = 2*f + 3*b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22485, 43600, 62025, 76416, 85429, 87720?\nAnswer: 81945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 34*n - 54. Let j be p(6). Suppose -j = -k - 80. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/3)\/(-2)*-4. Let d = s + -2. Suppose 19 = k - 3*x, d*k - 3*x = 15 + 8. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*g = g - 11, 5*g - 27 = -t. Suppose -4*j - 18 = -t*n, -2*j = 3*j - n + 18. List the prime factors of 1725\/(-46)*2\/j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9217638368327\/208 - -44315739684. Let w = 170606 - c. Calculate the common denominator of w and -81\/8.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 3. Let g(c) = -c**3 + 7*c**2 - 5*c. Let h be g(6). Suppose 5*r = n + 19, 3*r - r = 2*n + h. Let u be l(r). Solve t = u - 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 958572.47?\nAnswer: -95857.247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35*d + 22 - 36*d + 14 + (2*d - 3 + 3)*(-1 + 2 + 1))*(3 + 1 - 3).\nAnswer: 3*d + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(128))*-1 - (sqrt(128) + (sqrt(128) + -1)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1777*a**4 + 64*a**2 + 2*a + 126216 with respect to a.\nAnswer: 7108*a**3 + 128*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30212578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 309454625 to the nearest ten thousand.\nAnswer: 309450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230909.\nAnswer: 7, 32987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-9) - (3 - -1)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0961*-0.3\nAnswer: 0.02883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000101110010111000 - 11?\nAnswer: 11100000101110010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116404 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1186116, -2372227, -3558338?\n\"Answer: -1186111*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o + 27. Let k(z) = 4*z + 18. Let x(u) = -5*c(u) + 7*k(u). Differentiate x(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 60*i - 37. Let r(c) be the first derivative of -c**2\/2 + 27. Let g(f) = o(f) + 2*r(f). What is the units digit of g(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkf when three letters picked without replacement from hkkjflkjk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:33 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/38 and -63\/60344?\nAnswer: 60344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - ((-3 - ((2 - 12) + 4)) + 5 - -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112524498, -112524494, -112524488, -112524480, -112524470?\n\"Answer: n**2 + n - 112524500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23420273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(1\/22)*((u*((u**(-7)*u)\/u)\/u*u*u*u)\/u)\/u**(2\/5)*(u*u**(4\/5)*u*u*u**(-3\/2)*u)**(-2\/157) assuming u is positive.\nAnswer: u**(-4272\/785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3140, 25193, 85048, 201605, 393764, 680425, 1080488, 1612853?\n\"Answer: 3150*d**3 + d**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475424 is divided by 662.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -3732864?\nAnswer: -3732864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)\/((-78)\/(-90) + (-18)\/(-135))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 3*y - 600. Let u = -244 + y. Calculate the common denominator of u\/(-12)*2\/6 and -69\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*a**2 + 33*a**2 - 10*a**2.\nAnswer: 42*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:40 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62543625.\nAnswer: 3, 5, 166783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3454 + 3457. Let g(d) = d**3 - 2*d + 18. Let z be g(0). Solve 0*b = b - f*k - z, 5*b = -3*k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 3*z + z**2 - 3*z**2 + 0*z.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1787 and 34\/37.\nAnswer: 66119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4826 - -3631?\nAnswer: -1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (3 + sqrt(1053)*2 + sqrt(1053) + -5)*5)**2.\nAnswer: -1184805 + 8100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 10 - (-1 - -2). Let d(f) = -2*f**3 + 3*f**2 + 1. Let l be d(j). Let p = l + 111. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f**2 - 2*f + 4. Let g be o(-4). Let h be 1\/(-2)*g\/(-14). Suppose 2*j - 3*l = 7*j - 174, 3*j - 114 = -h*l. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 34.1.\nAnswer: -68.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 581.5 - 102.5. Let b = r - 502. What is the fourth smallest value in b, 0.4, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15032 by -3758.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 + 91*f**3 + 17*f**2 - f wrt f.\nAnswer: 240*f**3 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 5:39 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 + -3. Let z = -0.55 - -0.65. Let p = -0.05 - 0.35. Which is the closest to z? (a) -2\/9 (b) t (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 4*a**3 + 2*a**3 - 6*a**2 - 9*a**2 + 25*a**2 + 2 to x*a**4 + u*a + h*a**3 + w*a**2 + s and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 - 453.807?\nAnswer: -564.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 232?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 2 v when four letters picked without replacement from {r: 4, v: 4, e: 1, k: 1, s: 3}.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {b: 1, d: 1, l: 1, e: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126070696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1048*g + 1033. Calculate h(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8229 + -8111. Calculate the remainder when 1666 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003167173633 to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 81 - -16. Let d(w) = 0 + 2 + 98*w**2 + 6*w - v*w**2. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332264 + 261987 = 10702*l - 101379 for l.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*i*s - 125*f**3*i + 47*f**3*s + 168*f**2*i*s - 211*f**2*i + i wrt f?\nAnswer: 6*i*s - 750*i + 282*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = v - 1701, v - 2*v = -2*d + 843. Let h be (6\/(-5))\/(5 + (-45318)\/9060). Let j = h - d. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3683 by 7.\nAnswer: 3683\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pmlc when four letters picked without replacement from mlmmlmmcmmlmplcckm.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3783290*n**4*o**2 + 2*n*o**2 + 3*n - 3*o**2 - 13336 wrt n.\nAnswer: 45399480*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = 5*p + 2*o, -2*p + 0*p = -5*o - 169. What is the highest common factor of 96 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z. Let l be 149\/4*76\/19. Let p(s) = l*s**2 - 76*s**2 - 72*s**2. Calculate p(c(i)).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159140?\nAnswer: 2, 5, 89, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5878408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 28 = 244. Solve -5*i = -4*x + c, 9 + 10 = 3*x - 5*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = -15. Suppose -h - 21 = 2*x. Let c be (-2)\/8 + (-63)\/x. Solve 15 = 3*j, c*z - 2 = 3*j + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2427, 9723, 21887, 38919, 60819, 87587?\nAnswer: 119223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 2:41 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7827*h - 2113410. Give j(270).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4946 (b) 0.5 (c) -0.2 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (5 + -4) - (-4 + -2). Let w(n) = -3*n**3 - n**2. Let v be w(-1). Find f, given that 0*f**2 - 3*f**4 + 0*f**2 + u*f**3 - f**v - 2*f**2 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l + 4*l + 4 - 5 + 3. Let p(u) = 21*u + 10. Suppose -7*z - 2 = -8*z. What is z*p(g) - 11*f(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 1:12 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1811609.\nAnswer: 31, 58439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from lelekzlzzogzezz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*h - 28 = 0, 3*y - 5*h = -h + 10. Solve -f + y = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-63)*(-72)\/(10\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1428505 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 2947138.\nAnswer: 32418518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-74 + 49) - (2 + 64)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:18 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 6*h)*(3*h - 3*h - 2*h**4) + 96*h - 96*h + 37*h**5 + (h**2 - 2*h**4 - h**2)*(-3*h + 2*h + 0*h) + 2*h - 2*h + h**5 + h**5 - 4*h**5 + 4*h**5.\nAnswer: 39*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p - 9 + 9. Solve -y - 4*g - 18 = p, 5*g + 14 + 19 = 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 - 28. Let g be ((-12)\/(-30))\/(2\/v). Let l(c) = -c**3 + c + 1. Let p be l(-2). Calculate the highest common factor of p and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and -0.8969 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17874500 to the nearest one hundred thousand.\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -22424 at most -22423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-35))\/(8\/(-28)) + 225\/(-6). Let i = 49 + 74. Let l = i + s. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 1510840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1225*i + 30 = 1235*i. Sort -4, -3, -1, -18, i in ascending order.\nAnswer: -18, -4, -3, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62*g**5*j - 1938*g**3*j**3 - 26293*g*j**3 + 162*g*j wrt g.\nAnswer: 1240*g**3*j - 11628*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35969 - -36000. Which is the third smallest value? (a) 5\/3 (b) z (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(208)\/sqrt(4))\/(1*sqrt(4)*2) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15.3 or 67044?\nAnswer: 67044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17589 - -85.081.\nAnswer: 17674.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h**3 - h**2 - 1. Let z be p(-3). Let m = 312 + z. Solve -7*u = -m*u + 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3422, 4368, 5950, 8174, 11046, 14572, 18758, 23610?\n\"Answer: b**3 + 312*b**2 + 3*b + 3106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2. Let z(u) be the first derivative of -u**3\/3 - 5. Calculate f(z(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978785 is divided by 421.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 24794503\nAnswer: -24794500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 8 - 13 - -46?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:50 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7*w = -5*w - 10, 0 = i - w + 2. What is the third derivative of -6*d**3 - 47*d**i + 57*d**3 + 6*d**2 wrt d?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.3187559 millennia?\nAnswer: 3.187559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152574*k**2*s - 7237*s - 120 wrt k?\nAnswer: 305148*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*l + 3)*(-5*l + 0*l + l) + 63 + 752*l**2 - 33 - 30.\nAnswer: 760*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/((t\/(t**(-44)*t))\/t))*t)*t)\/t*t**(3\/35)\/t*t assuming t is positive.\nAnswer: t**(-1467\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -35. Which is smaller: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f - 7*f - 194 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.071 - -31.23. Let l = 2.2 - v. Round l to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 5*y**2 + y - 3. What is c(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - u + (-2*u + 2 - 2)*(0 + 2 - 1) - 128*u + 5678 - 5678 in the form a*u + r and give a.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218 and 108782?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**3 - 452*k**2 + 1773*k + 669. Let t be g(222). Let z = 0.5 - -0.1. Which is the nearest to -3? (a) -2 (b) z (c) 0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223841 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**3*y - 11530*l**2*y + 36*l*y + 2997*y wrt l.\nAnswer: -30*l*y - 23060*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(1625\/250).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9945.698 hours to milliseconds.\nAnswer: 35804512800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*u - 59 = 0, g - 2*u = 3*u - 7. Let y(z) = z**3 + 9*z**2 + 7*z + 4. Let p be y(-8). Is p less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**3 - 6*u**2 + 10*u + 6. Let c(g) = -23*g**3 + 18*g**2 - 29*g - 17. Let l(b) = -6*c(b) - 17*v(b). Factor l(a).\nAnswer: 2*a*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 219 = -9*d + j + 8*j, -37 = -2*d + 3*j for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 2. Let t be h(-3). Let r = -289\/63 - -40\/9. Let p = 14 - 9. Sort r, t, p in decreasing order.\nAnswer: p, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(6) + (sqrt(6) - sqrt(24)\/sqrt(4)*-2)) + 5*(-1 + sqrt(20)))*-4.\nAnswer: -41*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -2 + 3*(sqrt(320) + -4) + (-1*(sqrt(320) + sqrt(320)*-2))**2 + -2).\nAnswer: -307 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/9 - 16*r**3 - 2824*r**2\/9 - 4384*r\/3 - 1792 = 0.\nAnswer: -42, -24, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 13. Let s be n(-13). Let z = s + -40. Which is the nearest to -0.1? (a) z (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 26. Suppose -2*w + g*w + 6 = 0. Is 4*(-2 - w) - -127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -47*u - 65\/2*u**2 + 168. What is the first derivative of h(g) wrt g?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 20 = -4*b, p = 5*b + 23 - 48 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/10, 1\/4, 2594?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/770 and 24\/847.\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*1*(13 + -10)\/3. Suppose -o*g + 19*g - 39 = 0. Factor 9\/4*x**g - 9*x - 3\/4*x**2 + 3.\nAnswer: 3*(x - 2)*(x + 2)*(3*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w - 16*w = -61*w. Solve 16*s + 16 = -w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 822, 1811, 3206, 5013, 7238?\nAnswer: 9887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 41411624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172407808945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1881)\/(-266))\/33*(-12)\/9.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3337 is divided by 152.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 131 = -3*l + 52, -3*k = 2*l - 137. Suppose p + p - l = 0. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -12*a**2. Let q(g) = -2586*g + 2586*g + g**2. Let z(f) = -m(f) - 10*q(f). Let w(p) = -9*p**2 - 1. What is w(z(l))?\nAnswer: -36*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*n - 100 + 404 = -6*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5723 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15424 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 6*v - 2. Let l be i(5). Let r(h) = -l*h - 2*h + h. Let j(s) = -2*s**2. Determine j(r(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6446 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 - -0.4. Let w = 3.8 + -1.1. Let k = w - 0.7. Which is the closest to z? (a) -3 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25138039 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 24*y**2 - 9*y + 21. Let o(z) = z - 2. What is j(g) + 9*o(g)?\nAnswer: 24*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/720 and 9\/22.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - (90 + -98) - -22?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 41 - 49)*(1 - 1 + 1)*(-3*p**3 - 3*p**3 + 3*p**3).\nAnswer: -105*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:18 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 15*o**4 + o**3 + 5*o + 41*o**4 - o in the form q*o + r + d*o**2 + c*o**3 + v*o**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24840 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 545*q + 91. Let r be t(91). Solve r = -54*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/(13\/39*(-42)\/4)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((804\/(-4690))\/((-2)\/182))\/((-8)\/(-10)).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/6*(732\/976 - 58\/(-8))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 37*a**3 + 6*a**2 - 6*a + 1. Let t be b(1). Suppose 46*h - t*h = 0. Put -1, -4, h in descending order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wznownvc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-14) - (-855)\/(-798). Let h be (t*(7 + 165\/(-25)))\/(-2). Factor 4\/5*i**2 - 4\/5*i + h*i**3 - 1\/5*i**4 + 0.\nAnswer: -i*(i - 2)*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30211 (base 7) in base 5?\nAnswer: -213214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5*s + 16. List the prime factors of n(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0520196 and -0.5.\nAnswer: 0.0260098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 23*u - 13. Let g be q(-6). Let f = 31 + g. Suppose -3*k - f = -9*k. Solve -4*w - 6 = -k*z, -5*z + 1 = w - 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Let g be (-5)\/(-3)*t\/(-30). Is 0 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -77, -88, -115, -164, -241?\n\"Answer: -y**3 + y**2 + 3*y - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, b: 3, w: 8}. Give prob of sequence bbb.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o + 97*o - 3465 = 283*o for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*60\/250?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2796 - 1986 = -154*h + 1686. Calculate the remainder when h is divided by 1\/(-4) + 130\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -120, 3, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**4\/4 + 3*p**3 - 108*p + 329. Determine h so that s(h) = 0.\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 0*h = 2*r + 20, -3*h - 26 = 4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12) + 3\/(-6). Let a be (-2)\/6 + 4\/(-6). Let p = 2 - 0. What is the nearest to z in a, 1, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30837, -61660, -92483, -123306, -154129?\nAnswer: -184952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 9:37 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkqkilqikllqq. Give prob of sequence ll.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-14)*2*(-158 - -128)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 - 33. Let h = -20 - -98. What is the remainder when h is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 17*u + 12*u - 35, -j - u - 15 = -7*u for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 15*f - 3. Let w be m(13). Calculate the highest common factor of 253 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (38 - (2 + (11 - 0)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*y + 90206 = -592*y - 489*y - 455*y for y.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1432528 and 83\/28.\nAnswer: 10027696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1 - 5) - 9\/18.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 5. Let x(h) = 5*h + 25. Let p(v) = -11*b(v) + 2*x(v). Let d be p(-5). Suppose 0 = -4*c + 4 - d. Calculate the lowest common multiple of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 < 2760\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mju when three letters picked without replacement from jmzmjujeuj.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 8:55 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -y + 28, 4*d + 74631*y = 74600*y + 1062 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*z + 0*z + 22 = 0, k - z - 12 = 0. Let j = k - 5. Solve -j = -5*n + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000272706 to seven decimal places.\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94.37 + 94.3716492. What is a rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 3*h**4 + 4*h**4 + (138 - 138 + 22*h)*(-1 + 30*h**3 + 1) + (3*h**2 - h**2 - 3*h**2)*(4*h**2 + 0*h**2 - h**2).\nAnswer: 661*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p**5 + 61*p**4 + 36*p**3 - 4*p**2 = 0.\nAnswer: -2, -1, 0, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 12\/(-9))\/(236\/1936734) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 18 - 87 + 4*w**2 + 38 + 15.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 13) + (-8 - (8 + -5)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-168)*((-46)\/5)\/23?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110240 is divided by 110127?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 138879 and 6293175865?\nAnswer: 6293036986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4230 and 1620?\nAnswer: 76140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 32*w + 9633 = 0. What is the remainder when w is divided by 100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/120 + d**5\/30 - d**4\/12 - d**3\/3 + 589*d**2. Let o be -3*(-2)\/(-6)*3. Give u(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 + 10*o - 100.\nAnswer: -(o - 20)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105 + 131 + 514)*(4*k - k - k + (-3*k + 0*k + 5*k)*(0 + 3 - 1)*(3 - 1 + 1)) to the form j + i*k and give i.\nAnswer: 10500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmozoommoommmzmz. Give prob of picking 1 m and 2 z.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.342 or -3?\nAnswer: -0.342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 108 - 117. Calculate the greatest common factor of m and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 506432.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 38*u + 842. What is the lowest common multiple of 168 and t(-17)?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((18\/(-4))\/((-774)\/86))\/(44\/(-66)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-8 + 39 - 33 - (-36 + 1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 10*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084*t + 1680 = -1044*t. Suppose o - 22 = -g - 0*o, 34 = g + 4*o. What is the least common multiple of t and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -31*d - 10. Suppose 2*c - 3 = -5. Let y be u(c). Sort 1, y, -0.1 in descending order.\nAnswer: y, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 2, f: 3}. Give prob of sequence fs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 23, 26?\n\"Answer: 3*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 16*l - 3 = 0. Let h = -0.634 - -0.134. Which is the nearest to 0.4? (a) 5 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 8. Let v be d(4). What is the highest common divisor of 64 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67.2 + 67. What is the closest to 4 in u, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6354679565 to the power of 1\/4, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 26*v - 13 = 0. Solve -u + 5*u + 16 = 0, 2*u = 5*d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m - 6*m + 23*m - 10*m to the form d + k*m and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 84, 84, 26, -84, -240, -436?\n\"Answer: z**3 - 35*z**2 + 98*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 20. Suppose 3*o - 2*o - 2*w = -3, -4*w + 45 = -y*o. Let v(q) = -q**3 - 13*q**2 - q - 12. Let u be v(o). Solve u + 8 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12*(14\/(-35) - 4\/15). Let x(b) = -4 - v - 1 + 98*b. Is x(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 62 = -0*i + 4*i, -r + 4*i - 46 = 0. Let y = 90 + r. Find the common denominator of 99\/14 and ((-3)\/y)\/(2\/164).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 577225 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(3*-1*sqrt(12)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbvaaavkvk. Give prob of picking 1 k, 1 c, and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8816967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -10 (b) -3 (c) -468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0, 12, 4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 1. Let v(l) = -l - 1. Calculate 2*h(s) - 3*v(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6059022 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213111424 + -1?\nAnswer: 213111423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169.4 + 131. Let b = 21744.143 - 21782. Let m = b - f. Round m to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15327216 (base 8) to base 15.\nAnswer: 4975e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(170)\/(-2*sqrt(10)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:18 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0112729 to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -1\/3*c**3 - 3 + 0*c**2 - 4*c. What is the first derivative of r(p) wrt p?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:03 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 361 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w**2 + 6*w - 4. Let x(g) = -46*g**2 + 17*g - 11. Suppose -3*z - k = -29, -z + 2 = z + 5*k. Determine z*q(m) - 4*x(m).\nAnswer: 19*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -53. Let t(w) = 36*w**2. Let c be t(2). What is the highest common factor of h and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - i = -1, -2*u + 0*u + 14 = -2*i. Suppose u*o - 32 = 52. What is the highest common factor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1661041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -1275?\nAnswer: -1270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618 by -359.\nAnswer: -618\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-117)\/273)\/1 + 1070\/(-35).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-63)\/62))\/(33\/(462\/4)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose -c - 32 = -4*p - 6, 0 = -p + j*c - 1. What is the first derivative of 0 + x - 3 - 5*x + p*x wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-50)\/((-25)\/5). Let j be (-2 + -3 - -6)*(1 - b). Let q be j + -9 + 4 + -2 + 0. Solve -3*p - 14 = -q*g, p = g - p - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + 319\/11 + -12. What is the third biggest value in q, 60\/7, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) + 100\/(-36). Let q(t) = t**3 + 2*t**2 - 4*t. Let v be q(z). What is the second derivative of -i - 5*i**2 + 0*i**v + 5*i**2 - 2*i**3 wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7230)\/(-4) + (-7 - (8 + 155\/(-10))) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*h + 26*h = -15*h + 50*h - 1755 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3 + (5 + 0 - 4)*(4 + 0 - 5) + (0 + 4 - 2)*(1 - 3 + 0))*(-4*j - 16 + 16).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 4, h: 2, j: 2, k: 1}. What is prob of sequence hoh?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -13)\/(5*(-3)\/(-10)). Let p be 150\/(-60)*(-12)\/h. Solve p*g + 0*g = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002619632 rounded to six decimal places?\nAnswer: -0.000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6495315 a multiple of 843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.153 and 46977?\nAnswer: 7187.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -933 + 1472. Calculate the greatest common factor of w and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0117 + -0.06. Round q to three decimal places.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*o - 13*o + 7*o + 0*o - 3*o - o + (-3 + 3 - 2)*(-5 + 4*o + 5).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.6 and 1508.\nAnswer: 5428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 6:14 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 12*h + 13. Give z(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, h: 1, m: 1, f: 1, e: 1, o: 2}. What is prob of sequence wewm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86070 and 12318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48431*s + 48459*s + 48451*s - 145395*s.\nAnswer: -54*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 0 - 2) + 2. Let z be 1\/(-3) + 2\/f. Solve -3*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*z + z. Let p be (2\/z)\/(72\/60). Sort 1\/9, p, -1\/3 in descending order.\nAnswer: p, 1\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2736) + -5 + 1*(sqrt(2736)*-1)**2 + sqrt(2736) + sqrt(2736) + 1 + 5 + -4)*6 + 5)*-3.\nAnswer: -49209 - 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2. Let s(i) = -5*i**3 + 2*i**2 + 7*i + 5. Let w be s(-1). Let p(g) = 5*g**2 + 13*g**2 - g + w*g**2 - 35*g**2 + 7*g**2. What is 3*j(y) - 2*p(y)?\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 36 = -2*n. Solve -n*q = 6 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217309 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 - (-4 - (-7 + (26 - 7))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(56\/((-2576)\/5681))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/30 + 3552*l**2 + 1. Let c(f) = -684*f**2. Determine c(z(b)).\nAnswer: -2736*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 180963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1353950?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*b + 2727 - 4681 = 3676 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 513\/(((-60)\/90)\/(4\/(-9)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -4\/7, 2, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3229490 and 15\/374?\nAnswer: 3229490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 7*s + 11430. Let q be w(0). Suppose q = -3*p + 13*p. List the prime factors of p.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44355 * 4\nAnswer: 177420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2. Let m(j) = -176*j - 30. Give p(m(z)).\nAnswer: -30976*z**2 - 10560*z - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.552 + 0.55200241. Round j to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o + 0*o)*(581*o + 210*o**2 - 581*o) - 5*o**4 + 2*o**4 + 2*o**4.\nAnswer: 209*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*a + 11*a - 7*a**2)*(-1 - 3 + 2)*(7*a - 2*a - 7*a)*((7 - 3 - 2)*(-1 - 1 + 0) + 2 + 2 - 1).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/4 - 2*x**3 - x**2\/2 - 3*x + 1. Suppose -l + 21 = 3*t + 2*l, 2*l = -5*t + 32. What is o(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 - 1990*g**3 + 6045*g**2 + 11990*g - 16040 = 0. What is g?\nAnswer: -401, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let o(t) be the second derivative of -t**4\/6 + 10*t**2 + 2*t - 25. Determine s(o(r)).\nAnswer: 6*r**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 11 = -5*j - 2*r, 0 = 2*r + 4. Let q(x) = -23*x**3 + 3*x**2 - 6*x - 3. What are the prime factors of q(j)?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*k**3 - 1089*k**2 - 1416*k - 468.\nAnswer: -3*(k + 39)*(3*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 20817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 515, 772, 1029?\nAnswer: 1286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -53. Let i be (-2)\/5 + b\/10. Let k(j) = -1 + 3 + i*j + 2*j**2 - 7. Let q(z) = -z**2 - z + 4. What is -3*k(d) - 4*q(d)?\nAnswer: -2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 + 3*v**2 + 23*v + 67. Let p be r(-12). Which is smaller: -6690 or p?\nAnswer: -6690","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12511532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-32)*u**(8\/3) assuming u is positive.\nAnswer: u**(107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 280 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 13 + 13 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -20*q**2 + 0*q**3 - 1\/490*q**7 + 1\/56*q**6 + 0*q - 2 + 0*q**4 + 3\/70*q**5. Determine o, given that v(o) = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -345, -18 in decreasing order.\nAnswer: 0.2, -18, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 66*j**2 - 68*j + 32. Let z(f) = -67*f**2 + 85*f - 40. Let t(m) = 5*q(m) + 4*z(m). Let k(b) = -1 + 1 + 0 - 3*b. Calculate t(k(p)).\nAnswer: 558*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167154 = 46*h - 13902. Is 123 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 27. Is o(9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-3)\/(-171) + (-7708)\/(-779). Solve -x + 6*x - m = -5*l, 4*l - x + 17 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*p + 84367*a**3 - 717*a - p + 1 wrt a.\nAnswer: 6*a*p + 506202*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12732 (base 11) to base 8\nAnswer: 43411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 95 - (3867 + -4078)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 337426.4 decades to years.\nAnswer: 3374264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/200 and 1\/(-6)*(-6321)\/490?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - ((sqrt(1728) - sqrt(1728)*-1) + -5) - (3 + -2 + sqrt(27) + -5))**2.\nAnswer: -486*sqrt(3) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:55 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46049929 is divided by 1341.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 d when three letters picked without replacement from hddeh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 + -231. Let n be 8\/(-112) + f\/2. Is n greater than -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -5*u**4\/24 - u**3\/6 - 3*u**2. Let k be a(-1). What is the greatest common divisor of k and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**5\/3 - 32*c**4\/3 + 4*c**3 = 0. What is c?\nAnswer: 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*6547907\nAnswer: -1309581.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -3, 3, -849, -1 in increasing order.\nAnswer: -849, -3, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - -4 - (1612 + 4). Round c to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49777, 199106, 447987, 796420?\n\"Answer: 49776*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1 + (sqrt(108) - (sqrt(108) + sqrt(108) + -1 - sqrt(108))) + sqrt(108))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose 5*x = -4*m + 4*x + 19, 0 = 3*m - k*x - 6. Solve 5 = m*n + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + u**2 + u. Let v be (2 + -2)\/(2*(-2)\/4). Let t be d(v). Is (1 + 0)*(3 + t + 668) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*r = -4*z - 112*r + 53, 0 = 5*z + 5*r + 35 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, 2\/3, -0.16, 2\/5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) -3 (c) 3\/19223 (d) 384\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -1. Let r = -1478 - -1474. Which is the second smallest value? (a) -10 (b) m (c) -0.3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/5)\/(18\/(-60)*8\/(-18))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -181*c - 396. What are the prime factors of d(-6)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efj when three letters picked without replacement from {f: 2, v: 2, h: 2, a: 2, e: 5, j: 1}.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5*k + 5. Let x be z(5). Let g = x + 5. Solve -2*d = -4*a - a - g, 0 = 2*a + 3*d + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(3)*-6)\/(sqrt(77)\/sqrt(28)) - ((-1*sqrt(210))\/sqrt(7))\/(-5*sqrt(10)*1 - sqrt(10)).\nAnswer: -73*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15779, -15891, -16153, -16649, -17463?\nAnswer: -18679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {j: 2, c: 4, a: 2, p: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8354 take away 113531211?\nAnswer: -113539565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 16*y + 6. Determine n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - l - 2. Let u be t(-3). Let p be (2\/(-2))\/((-2)\/u). Sort p, 5, 2 in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 6:13 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 73435589 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 8*o + 19)*(19 - 1 - 4)*(-2*o - 2 + 2) to k + l*o + v*o**2 and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10434, 10458, 10494, 10548, 10626?\n\"Answer: y**3 + 17*y + 10416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.22, -4, -1172, -5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -3*w**2 - 70*w - 89. Determine o(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**3*r**3 + 5727220*k**3*r**2 - 6*k**2*r**3 + 35*k*r**3 - 8271 wrt k?\nAnswer: -18*r**3 + 34363320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/25)\/(f**(1\/48)\/f)*f**(-12)*f**(-24) assuming f is positive.\nAnswer: f**(-42073\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11030003 (base 4) in base 9?\nAnswer: -32132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4549*v - 40. Let d(w) = -250194*w - 2220. Give 2*d(o) - 111*n(o).\nAnswer: 4551*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313 (base 4) to base 6.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 18 - 4 = -2*x, 3*x = -2*x + 4*u - 6 - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 213 - -101. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 119. Let s be v(0). Round s to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 16*c - 49*c - 94*c.\nAnswer: -132*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5990870 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/173 + 2937\/346. Suppose -6*g = 10*g + 17*g. Find the common denominator of (15\/(-8) + g)*32\/264 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 26*n**2 - 561*n + 299. Determine x(23).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -3*h**3 + 1604616*h**2 + 468739716*h + 34222667472 = 0.\nAnswer: -146, 535164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.000005 - 0. What is g rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + sqrt(833) - sqrt(833)) + 5)**2*-3 + -2.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2917, 2915, 2913, 2911, 2909?\n\"Answer: -2*t + 2919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -173998 (base 11) to base 8\nAnswer: -1014667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = 48*u - 50*u + 5*d, 4*u = -d + 688. What is the greatest common divisor of u and 551?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 5. Calculate w(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-3))\/8)\/(15\/(-9) - 3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -85276, -170548, -255820, -341092, -426364, -511636?\n\"Answer: -85272*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, -4*x + 4*n - 100 = 32. Let m = -2 - 9. Let z be (x\/m)\/(6\/(-8)). What is the third smallest value in -0.1, 0.06, z?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3771 by -419.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8)\/((a**(4\/23)*a)\/a)*a**(-32)*a**(-2\/25) assuming a is positive.\nAnswer: a**(-23146\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42816049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1136.9999463 + 1137. Round x to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197 * 2.5\nAnswer: -492.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(-1\/17)*c**1\/c*c\/((c*c*c**(4\/15)*c)\/c*c)*c*c*c*c*c**11*c*c assuming c is positive.\nAnswer: c**(4252\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/((-10)\/59880147). Let m = v - 2981599. Let h = m + -12413. Calculate the common denominator of h and 105\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 10, 7 in increasing order.\nAnswer: -6, -2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -266469691 and -3.\nAnswer: 799409073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27746\/2445 + -12\/815. Find the common denominator of (-1)\/(-4) + 109\/(-12) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64209 to 3 decimal places.\nAnswer: -0.642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-42)\/9*5970\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -176*u**2 - 2*u. Let a(b) = -14*b - 2. What is a(p(i))?\nAnswer: 2464*i**2 + 28*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22259\/15328 - 22\/479. What is the common denominator of (-120)\/(-16)*11\/(-72) and i?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 - 973 = 385*n - 155 + 1282 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59152 - 59151. Let j be 328\/(-854) - 4\/(-14). Which is bigger: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -1*(1 + 38). Let t = w + 61. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 9*z + 1. Let p(x) = -4*x**2 + 10*x - 1. Calculate -3*j(f) - 2*p(f).\nAnswer: -f**2 + 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -283*n - 321*n - n**3 + 15 + 620*n. Calculate c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -17\/6*a - 1\/3 - 5\/2*a**2 = 0. Calculate a.\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6181*d**3 - 2*d**2 + 1. What is the tens digit of t(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/68953191 and -67\/3?\nAnswer: 68953191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 182418013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.074 + -1.026. Let q = v + 47. What is the closest to q in 1\/2, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243245196.\nAnswer: 2, 3, 53, 127487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-2)*(11 + 11) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.835 minutes in nanoseconds?\nAnswer: 33650100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 14 - (-80 + 6) - 6) + 17.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 634203421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90422823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 - 268. Sort j, 4, -1, 5.\nAnswer: -1, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 5550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 751978425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -34. Differentiate 16*l - 12*l + s*l - 3 - 6 wrt l.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3255987 and 64\/775235.\nAnswer: 16279935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u - 1 = 55*u - 24*u. Which is smaller: u or -4\/715?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10 - 0)\/((-455)\/(-325))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 518379 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 210 - 92 + 92*j**2 - 2*j to the form g*j + l + n*j**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*((sqrt(68) - sqrt(17)) + sqrt(17)) - (sqrt(153) + 3))**2 + -3).\nAnswer: -6*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + v + 1. Let d(b) = -2*b + 2. What is d(c) + k(c)?\nAnswer: c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -98272216000 rounded to the nearest one million?\nAnswer: -98272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39995756 by -58.\nAnswer: 689582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*q**3 + 94*q**3 - 175*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 9:16 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29922274 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 + 60*a**5 - 207*a**2 wrt a.\nAnswer: -240*a**3 + 3600*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 18*c**2 - 12*c + 5. What is the remainder when 7\/(14\/1324*2) is divided by s(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 12, 0.3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*(-116)\/(-12))\/8. Let f = y + -323\/36. Find the common denominator of (-599)\/(-18) - 10\/(-45) and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -46.36. Let m = y - 1.3599863. What is m rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-8 - (1 + -2 + -1)) + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5\/4)*f)\/(f*f\/(f\/f**(2\/11))))\/(f\/(f**(1\/2)\/f)*f**(3\/2)))\/((f*f**(-1\/2))**(7\/5))**(-2\/33) assuming f is positive.\nAnswer: f**(-2897\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6144*g**2 - 12290*g**2 - 22*g + 6148*g**2.\nAnswer: 2*g**2 - 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmetm. Give prob of picking 2 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900)*-3*-2 - (-2*(sqrt(171) - (sqrt(171) + -3*sqrt(171))) - sqrt(171) - sqrt(171))\/sqrt(9).\nAnswer: 68*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 136, 416, 808?\nAnswer: 1312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69382 is divided by 785?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 56 - 9 = -135*l + 134*l + 15, -6*m - 2*l = 120 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -4*l - 13, -166*l - 10 = -164*l for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5*w**3)*(3*w - 2 + 2).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 4, l: 1, o: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from bbgggggggg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {u: 2, p: 1, e: 1, b: 1, x: 1, f: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8920 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: Convert -20102 (base 3) to base 7.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5\/7 - 74392*s**4\/7 + 1564176*s**3\/7 + 3351512*s**2\/7 + 1712948*s\/7 = 0.\nAnswer: -18619, -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 2*n - 26, 114*t - 134*t - 65 = -5*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -n + z, 0 = -3*z - 12 + 3. Let b = 6 - 2. Calculate the least common multiple of n and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542853.5259 less than -0.37?\nAnswer: 542853.1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*l + 5, 3*r + 3*l = -6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 47\/6*v**2 + 2*v**3 + 58 + 10*v + 1\/12*v**4. Let k(s) = 0. Calculate s.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -993, -1014, -1035, -1056?\n\"Answer: -21*w - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = 505 - 498 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 650*g + 1301. Determine h(-3).\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - (-7 - 1)) + 40\/4 + -5. Solve -c + 0*h - 2*h - i = 0, c - 1 = h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 22 = 4*t, -t - 3 = 0. Sort 2, h, 14, 0.\nAnswer: 0, 2, h, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 3178830*d**2 + 505441861260*d + 61616602447240 = 0.\nAnswer: -317822, -122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2*(-3)\/6)\/((-11)\/11). Let b be (2 - k - 0)*(-4 + 2). Let u(m) = -11*m**3 - 2*m**2 - 2*m - 3. Is u(b) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39 - (-6 - 31))*(-1)\/(-2). Put p, 22, -2, 8 in increasing order.\nAnswer: -2, p, 8, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1016 + -1013. Sort 5, 159, x in increasing order.\nAnswer: x, 5, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-10)*2\/12. Let v be (-1)\/((-1 - -2)\/(-1)). What is the closest to z in -1\/7, v, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 26 = -4*z - 174, 15 = -3*z. Suppose 15 = -2*w - b, -v = 5*w + 3*b - b. Sort 0, w, 4, 3 in descending order.\nAnswer: 4, 3, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g**(-2\/5) assuming g is positive.\nAnswer: g**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(-35))\/((-9546)\/(-95460)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15748 and 529666?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 + -2 + 5 + -2 + 1 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1754 - 2*i**2 + 1754.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*b - 1 - 57, -5*b + j + 111 = 0. Suppose 0 = n + 4 - b. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 + 165. Suppose 4*m + 3*v - 12 = 5*m, 0 = -3*m + v - 68. Let q = 20 + m. Which is the third smallest value? (a) t (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*v - 165*v + 2*i = 162*v + 6 + 7, 4*v + 5*i = 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7029 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*s - 1351*s - 78979 + 27147 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/15)\/(1\/9). Let t be 2\/6 + 98\/m. Let n be (-6)\/t - 68\/(-11). Solve 3*w + g + n + 4 = 0, -2*g = 3*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -566.9 + 567. Which is the fourth smallest value? (a) -0.4 (b) j (c) -3\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*u**5 + 15*u**3 - 5*u**2 - 10*u wrt u.\nAnswer: -420*u**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512233.\nAnswer: 23, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 0.1, -100, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5*((k*k**(-2\/9)\/k)\/k*k)\/k*(k**(-1))**6)**48 assuming k is positive.\nAnswer: k**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 49550412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2530810 + 2530810.5699942. Let o = 641 - 641.57. Let r = o + d. What is r rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -670546122 by 335273061.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**32*(g**0)**(-50)*g**2\/g**(-3)*g**(-1)\/g*g\/g**(5\/3) assuming g is positive.\nAnswer: g**(227\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -4)*2\/(-1). Let c(u) = 42*u + 27 + 9*u**2 + u**2 + 61*u - u**3 - 105*u. List the prime factors of c(v).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3457153 or 3457152?\nAnswer: 3457153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*4.1114.\nAnswer: -135.6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 1\/6 (c) 0 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -6\/167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, m: 1, t: 3, q: 3, p: 3}. Give prob of sequence xqmt.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148329035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 4*t - 1, 7*v - 2*t = 3*v - 20. Let p = 12 - 12. Let m(a) = 2*a + p + 3 + 10*a**3 + 4*a**2 - 5*a**2 - 11*a**3. Determine m(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 923178 - 660?\nAnswer: 922518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -44, -0.3, 13, 0.\nAnswer: -44, -5\/4, -0.3, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-65))\/(27\/351)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20.8 + -0.2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 12 = -35*g. What is the third derivative of -5*k**6 + 357*k**3 - k**2 - 357*k**g wrt k?\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28831679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2139, 8560, 19261, 34242, 53503?\n\"Answer: 2140*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/21)*r)\/(r**20*r))\/(r**(-27)\/(r*r**(1\/12)\/r*r)))**(-24) assuming r is positive.\nAnswer: r**(-1342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 664 and 280?\nAnswer: 23240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:51 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 123075*y**2 + 202869*y wrt y?\nAnswer: 246150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t + 10. Let d(w) = -w**3 + 4*w**2 - 4*w + 3. Let b be d(t). Let a = b + -3. Solve 4*r - 5*v - 6 = a, -2*v = -2 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65155891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 22. Suppose -2*j = -9*d + 4*d, 0 = 5*d - 3*j. Let w be k(d). Let s = 35 + w. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a - 92. Let v(f) = -f + 23. Let i(m) = -o(m) - 4*v(m). Let t(n) = 6*n**2 + 11 + 0*n**2 - 4. What is t(i(r))?\nAnswer: 6*r**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/36 + (-23)\/(-6). Suppose 31*m = s*m + 642303. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29361838619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 + 4. Suppose -4*f - 14 = d. Sort 3, 8, f in decreasing order.\nAnswer: 8, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and 43155290.29.\nAnswer: 43155268.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 4*n**2 - 5*n + 8. Let i = 75 + -72. Let m be s(i). Suppose -m*c + 38 = 2*w - 14, 0 = c + 4. Calculate the least common multiple of 6 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 1010 = 274. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -643\/6, 15, 1500?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -266, -568, -908, -1286, -1702, -2156?\nAnswer: -2648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52\/33 + 10\/11. Let l be ((-2)\/(-5))\/2 + 16306\/(-107830). Are q and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.096, -3, -2, 2, 0, 0.8 in ascending order.\nAnswer: -3, -2, -0.096, 0, 0.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 6 - (246 + -242)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.5. What is the nearest to 1\/3 in o, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyiyyyyyyyyyyyy. What is prob of sequence iy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/98552 and 69\/159856.\nAnswer: 20301712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let h(m) = m + m**v + m**3 - 3*m - 3*m**2 - 5. Is h(4) 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 13, -51, -121, -197, -279?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.33, -10, 4, 282, -5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((4 + -6 - -5) + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/65*(-7)\/21.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17*c - 32. What is i(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 17 = 23 + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 + 114 = -13*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1343148 (base 14) to base 9\nAnswer: -18452251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9049414.\nAnswer: 2, 11, 411337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f + 57 - 36. Suppose -8*d - 56 = -4*d. Let x = -12 - d. Solve -f*r + r = 2*i, -x*i = -4*r - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m - 2*m)*(0 - 4 + 5) - m + m + m - 3*m - 3*m + 4*m - 11*m + 2*m - 8*m + 0*m + m + m.\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37209433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**11)\/w)\/w)\/(w\/w**(2\/63)) assuming w is positive.\nAnswer: w**(-817\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 589*g - 590.\nAnswer: (g - 1)*(g + 590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + u**2 + 254*u**3 + 81 + u + 38.\nAnswer: 254*u**3 + 4*u**2 + u + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1295, -4936, -11005, -19502?\nAnswer: -30427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 18*l**2 + 6 + 5. Let p(r) = 8*r**2 - 5. What is 6*c(n) + 13*p(n)?\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*j - 152, 5*f - 31 - 15 = j. Suppose 4*a = -a - 15. Sort 3\/2, j, a.\nAnswer: j, a, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 - 1?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 2*u + 3. Let c be h(-2). Let t be ((-22)\/(-4))\/(c\/(-18)). Let s = t - 9. Solve -3*y + s*x - 4*x = -14, 0 = -3*y + 4*x - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3551388, 3551387, 3551386, 3551385?\n\"Answer: -p + 3551389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 11*c - 10*c + 11*c.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6164321263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 34 - (-24 - -32). Solve -4*j - 9 = r + 5, 3*r - b = 5*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2428721907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*r**2)*(5*r**2 - 41*r + 41*r) as l*r**4 + h*r**2 + c*r**3 + g + t*r and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 368926, 4, -0.2 in descending order.\nAnswer: 368926, 4, -0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.32 + -8.96. Let d = 22.6491 - 23.997. Let w = d + g. What is w rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxmxqjz. Give prob of sequence qzmj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*i + 382*i + 373*i - 1117*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/(-55) + 4\/(-22). Suppose -45*m = -40*m - 3*y - 2, 4*m - 2*y = 0. What is the closest to g in m, 5, -44?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0*r**2 - 1\/2*r**5 - 1\/15*r**6 + 23\/2*r**4 + 0*r**3 + 2*r + 27. What is the third derivative of g(m) wrt m?\nAnswer: -48*m - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 - 4. Let y be a(5). Calculate the highest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104333, 208391, 312181, 415703, 518957?\nAnswer: 621943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 576 = r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 35*n + 23. Suppose -2*f + 2 = -2*l - 0*l, 5*l = -5*f + 35. What is the units digit of i(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**5 + 4*w**4 + 5*w**3 - 5*w**2 + 5. Let r(n) = n**4 + n**3 - n**2 + 1. Let s(p) = -10*r(p) + 2*y(p). Factor s(q).\nAnswer: -2*q**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26885061?\nAnswer: 3, 7, 59, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*a + 98, -296*l = -181*l - 119*l + 6*a + 176 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - -1 - 5). Let g be b*(-4 - -3)*-17. Let u = g + 143. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -46. Let d = 8798 + -8725. Let p = z - d. What is the biggest value in 0.2, -2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28143 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1007093848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20634 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 - -28.16. Let d = 27.46 - n. Round d to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k**2 - 315*k - 627. Let y(q) = -100*q**2 - 1574*q - 3136. Let j(i) = -11*o(i) + 2*y(i). Find the first derivative of j(n) wrt n.\nAnswer: -4*n + 317","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -5 + 4 - -3 - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**4 - a**3 - a. Let m(n) = -5*n**4 + 4*n**3 + 4*n - 7. Let s(c) = -m(c) - 4*y(c). Differentiate s(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1132, -8, 5, 4, 3 in ascending order.\nAnswer: -1132, -8, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 61*s - 102. Let g be q(5). Let z = -200 + g. Solve -u + z = -2*k + 6*k, 0 = -5*k + 4*u + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -33*d - 240. Let t be ((-188)\/6)\/((-48)\/(-72)). What is the units digit of u(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + k - 496. Let j(b) = -14*b - 209. Let r be j(-21). Let m = k - r. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.6 + 19.3948. What is p rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddaaaaaadaa. Give prob of sequence dd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 10*c - 10 - 11 + 5*c**3 to w*c**2 + m + d*c**3 + h*c and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1479943, 2959887, 4439831, 5919775, 7399719?\nAnswer: 8879663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j**2 - 390*j**2 - 401*j**2 + 102*j**2.\nAnswer: -640*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + (-6 - -15 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56117.\nAnswer: 17, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/24 and -37\/9548?\nAnswer: 57288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87, -119, -151, -183?\n\"Answer: -32*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -137660495374.8.\nAnswer: 137660495374.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*p - 200 = 0, x + 6*p + 18 - 63 = 0. Calculate the smallest common multiple of 1023 and x.\nAnswer: 25575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8324 and 204348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 840 + -348. Let s = 348 - l. Let t = 143.99999929 + s. What is t rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwxx when four letters picked without replacement from iwxxximxwwmwmww?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 3, n: 5, l: 2, c: 3}. What is prob of picking 1 j, 1 n, 1 r, and 1 c?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h + 83. Let k(s) = 5*s - 40. Let g(z) = 2*f(z) + 5*k(z). Let j be g(6). Sort -5, 1, 20, j in descending order.\nAnswer: 20, 1, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201.28 - 200.78. Sort 1\/9, d, -4, 41, -0.5.\nAnswer: -4, -0.5, 1\/9, d, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 376 + -5?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 2:48 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2282 + 2383.3. Let s = p - 101. Which is the third biggest value? (a) 4 (b) 5 (c) 3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629, 6, -4 in descending order.\nAnswer: 6, -4, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 169 - 165. Which is the third smallest value? (a) t (b) 6 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-60)*20*12\/(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i. Let q(j) = -5*j**2 + 4*j - 10*j + 6*j. What is q(b(a))?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112.8 + -112. Which is smaller: q or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {h: 8, u: 1, q: 2, k: 1, w: 1, s: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1322, 5305, 11928, 21179, 33046?\nAnswer: 47517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -26. Suppose 0 = -2*d - 10, 4*o + a*d = -1 - 10. Let b(m) = 8*m + 2. Let h be b(o). Calculate the greatest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93878 is divided by 46931?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggrg when four letters picked without replacement from qqqgqrqqrqqgggqq?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 - 81. Let y be (f\/(-14))\/((-1)\/7). Let z(g) = -g**3 + 3*g**2 + 6*g - 6. Let o be z(4). Solve -y = -o*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70127438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549*w**2 + 213*w**2 + 27706*w + w**3 + w**3 - 124480*w - 4*w**3 + 4096766 = 0. Calculate w.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89877.4919 rounded to the nearest 100?\nAnswer: -89900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-9))\/(3\/27). Suppose -4*b + 7*b - c = 0. Suppose 0 = 3*v - 4*t - 12, 5*v + 3*t - 20 = 2*t. What is the biggest value in 3, b, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let u(s) = 216*s - 714605. Calculate o(u(j)).\nAnswer: 432*j - 1429210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 15) to base 11.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -29)\/(3\/2). Suppose -x = -4*u + 28. Calculate the remainder when u is divided by (-2)\/7 - (-44)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -89, -179, -283, -389, -485, -559, -599?\nAnswer: -593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 8, -4, -34?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 800 = -f. Suppose -4*c = 3*t - 215, -3*c + 2*t - 4*t + f = 0. What is the highest common divisor of 125 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065235*-0.1\nAnswer: 0.0065235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (20\/160*(-48)\/(-58))\/(-2*3)\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3406011 and -6341.431?\nAnswer: 3399669.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 6 - (-4 + 4). Is 5 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 10*c + 10. Let r be q(-1). Let j = 23 + -23. Let n be 3 - (392\/68)\/2. What is the third smallest value in j, r, -0.7, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 814 and 83235977.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + (22 - 23) + 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 60527642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12*4\/(-96))\/(3\/51). What is v in -2*v**2 + n*v - 2 = 0?\nAnswer: 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 3*k - 270 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*h - 3*h - 6 = 0, 2*x + 3*h - 3 = 0. Let l = -33 + 21. What is the tens digit of 0\/(-1) - (l - x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1 + 3 - 3 - 12*c. Let s be w(-1). Let p(t) = -t + 19. Let o be p(5). Solve -5*r + s = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.24 and 0.019?\nAnswer: 1.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i**3 + i**2 + 6*i + 7. Let m(q) = -11*q**3 + 2*q**2 + 13*q + 15. Calculate -13*j(w) + 6*m(w).\nAnswer: -w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77813 rounded to three dps?\nAnswer: -0.778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + i - 3 + (-4*i + i + 5*i)*(3 - 3 - 1) + 40*i + 24*i - 19*i.\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159579 = 9100*y - 914221 for y.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 64 and -0.05.\nAnswer: 63.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -41*b**2 - 247*b + 1. What is y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 3*s + 3. Let j be t(3). Let m(v) = 5*v - 4. Calculate the least common multiple of 13 and m(j).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 1 + 15 - 133*j.\nAnswer: -131*j + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 7*t**2 + 10*t.\nAnswer: t*(t + 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99012 = 106*u - 387968. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -3.3 (c) -2\/15 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 3046*s**2\/3 - 1218752*s - 1196974592\/9.\nAnswer: -2*(s + 121)*(s + 2224)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + q - 12, 0 = -4*i - 2*q + 18. Suppose i*u = 5*u - 22. Suppose -z + y = -7, 4*y + 6 = 3*z - u. Solve j = -5*k + 2, -j + z = -4*j + 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311.9938924 rounded to zero decimal places?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**4\/17 + 3784*j**3\/17 + 1801148*j**2\/17 + 10704936*j\/17 + 16006482\/17 = 0. What is j?\nAnswer: -943, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168770*l - 51574 + 51574.\nAnswer: 168770*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31202\/1353 + -948\/41. Let j be 1 - (1 + 0 + 0). Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:35 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 217, 454, 711, 994, 1309, 1662, 2059, 2506?\n\"Answer: o**3 + 4*o**2 + 218*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 - -77. Is a at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3 + 6. Let y = -10 - u. Let l(f) = -2*f**2 + 4*f + 4. Let r(b) = -b**2 + b + 1. Let t(n) = l(n) - 5*r(n). Determine t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let o = 11 + -8. Let a = o - k. Do a and -4\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -578 + 730. Let v = 193 - x. Calculate the highest common divisor of 451 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -34*d + 0 + 0*d**2 - 1\/2*d**3. Let t(c) be the second derivative of 17*c**3\/6 - c. What is t(w(f))?\nAnswer: -51*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3807 + -3810. Which is the smallest value? (a) 1\/4 (b) 2\/7 (c) l (d) 8 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92800000 = 20*k - 4*k. What is k rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * -935.7\nAnswer: 233.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 83*h**3 + 14*h**2 - 2*h - 21. Let s(l) = 57*l**3 + 9*l**2 - l - 15. Calculate 7*s(i) - 5*x(i).\nAnswer: -16*i**3 - 7*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(175)*1 - sqrt(175) - sqrt(175)))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9106664*i**2 - 159883*i - 3?\nAnswer: -18213328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/(6*1\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + o**2 + 4*o - 4 - 4*o - 3*o to v + z*o**2 + x*o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*f - 29, 2*f - 8*r = -12*r - 10. Suppose 4*s = -f*s + 14. Let i(c) = -6*c + 9*c**2 - 13*c**3 + 8*c**3 - 7 + 6*c**3 - 4*c**s. Calculate i(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 5*p - 7 = 0, -p = 34*a - 29*a - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 56. Calculate the lowest common multiple of 368 and w(4).\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54872 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-5))\/((-1)\/(-1)). Let w = -17 - -20. Let k = 278 + -277.8. Put k, j, w in increasing order.\nAnswer: j, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9554735.\nAnswer: 5, 61, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1\/(((-16)\/12)\/(-4)). Factor 0 - 2\/3*f**r + 0*f.\nAnswer: -2*f**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -870 <= -870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*u - l + 12, -3*u - 3*l + 18 = 0. Let x = u + -10. Let g be 6 + 0 + 2\/(-2). Which is the closest to 1? (a) x (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqkt when four letters picked without replacement from ynbqynkkbqtqtqb?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from zzzzlzzlzzzzzzzzzzzz?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*f - 138*f + 103*f)*(1 - 3 + 0)*(3 - 2*f**3 - 3)*(-1 + 1 + f).\nAnswer: 288*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (-5 - (16 - 24) - 61).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693998?\nAnswer: 2, 7, 11, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + 23*j - 3. Let y(i) = 84*i. Give y(m(z)).\nAnswer: 420*z**2 + 1932*z - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/7 - 115197*b**2\/7 + 1112570625*b\/7 - 128598636231\/7 = 0. What is b?\nAnswer: 117, 19141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -35. Suppose r*n + 20 = -4*n, -2*f + 36 = -4*n. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172868762.\nAnswer: 2, 11, 7857671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and 137669047892831.\nAnswer: 137669047892830.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 2*s - 13. Let i be k(0). Let h be (-105)\/(-260) - (-2)\/i. Put 1.7, -0.1, 1\/2, h in decreasing order.\nAnswer: 1.7, 1\/2, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0191 rounded to 2 decimal places?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5766674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 38*y + 139. Let n be r(-4). Solve -n*x - 6 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0871389 rounded to 3 dps?\nAnswer: 5.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10942.\nAnswer: 2, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.5559 + 10.373. What is x rounded to 2 dps?\nAnswer: -2.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 11, c: 3, q: 1, v: 5}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 356361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + l. Calculate p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10)\/(741\/52)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1683 and 1683.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 16 + 54. Let h be 27*(5 - 1 - g). Let i be 4\/(-10) + (-72)\/h. What is the second smallest value in i, -11, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -43. Suppose 4*l - 296 + t = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 - -22a4?\nAnswer: 2308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5903212 divided by 7\nAnswer: 843316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*b = 1 - 2, u = 4*b - 5. Let z = -7444.6 + 7445. What is the closest to u in z, -0.1, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -30*z**2 + z + 7. Let j(y) = -y**2 - 2. Determine -g(q) - 6*j(q).\nAnswer: 36*q**2 - q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -53*l**6\/120 - l**4\/6 - 3*l**3\/2 + 2*l**2. What is the second derivative of b(c) wrt c?\nAnswer: -318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2341 + 3205. What is the highest common factor of 162 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 2. Let s = 0 + j. Solve 3*a**2 - a + 7*a - s + 6 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69152 rounded to 2 decimal places?\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016795916 to seven dps.\nAnswer: -0.000168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1760 (base 12) to base 6\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y = 123*y - 3193 - 13278 for y.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 17686?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*d**3 - 1892*d + 1900*d + 55*d**2 - 15*d**2 = 0. What is d?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s + s - 14*s + (-1 - 2 + 2)*(0*s + 4*s + 8*s) as t + z*s and give z.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 41, 113, -2, 241 in ascending order.\nAnswer: -2, -1, 41, 113, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/11 - q**3\/11.\nAnswer: q**3*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-315)*-3*14\/(-10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h + 5*h + h - 4*h + (-3 + 3 - h)*(-1 + 2 + 0))*(3 + 0 - 4).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + sqrt(936) + sqrt(936) + (sqrt(936)*-1 - sqrt(936)) - -2*sqrt(1274))\/((sqrt(6)*-1)\/sqrt(3) + sqrt(4)\/sqrt(2)*5).\nAnswer: 15*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/548 and -67\/10.\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - r**2 + r - 2. Let p be m(2). Suppose -4*k - 235*b + 230*b + 46 = 0, -2*k - b = -8. Sort -281, k, p.\nAnswer: -281, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 45.8, 0.2.\nAnswer: -0.1, 0.2, 45.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491923858 to the power of 1\/4, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -0.1 (c) 2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 51*n - 1. Suppose 2*t + 18 = 4*t - 3*c, -16 = -4*t + c. Let j be h(t). Suppose 3*w + w = j. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -25*f**4\/24 - f**2. Let x(y) be the first derivative of -1\/3*y**3 + 0*y**2 + 0*y - 198. Calculate q(x(r)).\nAnswer: 25*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68\/9 - -463\/72. Let x = 43 - 355\/8. Let y = m - x. Which is the nearest to -1? (a) -1 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-2)*(-8)\/12*31. Suppose 4*w + 13 = -h. Let c(v) = -2*v - 19. Let b be c(w). Solve -5*t + s + 1 = 8, -5*s - 21 = b*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221550 and 25956.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865566361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5985 and 2014.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957 = t + 17*t - 561 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -9. Let m be 40\/(-12)*3*12\/(-10). Suppose -20 = -m*k + 4. Calculate the remainder when c is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.069563 centuries to decades.\nAnswer: 30.69563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - 2*m**2 - 1072 + 5*m**2 + 2220 - 1148.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Let r = p + -11. Is r*(-4)\/(-8)*-14 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Collect the terms in -843*z + 1231*z - 421*z.\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100 - 304\/3. What is the third biggest value in -1\/6, 0.3, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, -10, -66, -144, -244?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzjjpppjpzppzjz. Give prob of sequence zjj.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 1 = u, 3*a + 102 - 115 = 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = -17*n + 2730. Calculate the least common multiple of n and 143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3124 greater than -2974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2 and 19\/45918?\nAnswer: 45918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (18 + 21 + -41)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4018*-1.2.\nAnswer: -4821.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1)\/(8\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24837 + -24837.000029728. Round p to 7 dps.\nAnswer: -0.0000297","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:07 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -44\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29808\/(-1069362)*7\/2\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195385291 to the power of 1\/2, to the nearest integer?\nAnswer: 13978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -2*p**7\/105 - p**6\/15 + p**5\/5 + 2*p**4\/3 - 8*p**3\/3 - 17*p**2. Factor l(h).\nAnswer: -4*(h - 1)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 21. Let k(x) = -x**2 - 9*x + 3. Let a be k(j). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -417\nAnswer: -8\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41585936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, k: 10}. What is prob of picking 4 t?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 37278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknpfppkpnkkpyk. Give prob of picking 2 n and 1 y.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*s - 5. Let x be 1*(s + (2 - 0)). Let f = x - -3. Let n(r) = -r**3 - 4*r**2 + 4. Give n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -19*r**6 + 1891*r**3\/6 + r - 1896. Find the second derivative of g(v) wrt v.\nAnswer: -6840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 39*a**2 + 74*a + 8. Let i be g(-37). Solve -312*m = -313*m + i for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6 + 22 - y + 2. What are the prime factors of j(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.99 - 3. What is b rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 53*n**2 + 187*n - 7597. Determine j(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 429559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**6\/30 + r**4\/8 - r**3\/2 + r**2 - 906*r. Let y(z) = 63*z**3 + 49*z - 49. Give 49*j(x) - 3*y(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 632669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 60303096\nAnswer: 1\/30151548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/16055 and -64\/75.\nAnswer: 240825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 177 - 7\/(91\/(-104)). Which is the second biggest value? (a) t (b) 0.1 (c) -2\/7 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25451, 50834, 76235, 101660, 127115, 152606, 178139?\nAnswer: 203720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrellrlul. Give prob of sequence eu.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*w + 200 = 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 854854 and 2361359.\nAnswer: 7007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**0)\/i)\/i**(-2\/7))\/(i**(-2\/9)*i**(2\/19))*(i\/(i*i**(-2\/11)))\/(i\/((i\/((i*i\/i**(-4))\/i))\/i))*(i**(-2\/5))**(-23\/4) assuming i is positive.\nAnswer: i**(-410219\/131670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*x = 414*x - 201. Solve 15*p + 4*d + 31 = 12*p, -22 = 2*p + x*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = -3*i. Suppose 2 = 3*m + 3*k - 4, -m - 4*k = i. Solve -t - m = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/3 - (-34)\/(-204))*11530 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27577, -55153, -82729?\n\"Answer: -27576*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**3\/3 - 23. Let l(m) = -2*m - 50. What is i(l(g))?\nAnswer: 8*g**2 + 400*g + 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -238.79, -2\/9.\nAnswer: -238.79, -2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 56*p + 630. Calculate the remainder when p is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 1:56 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/17 (b) 1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1269*v**5 - 2132*v**5 - 247*v**5 + (-2*v**3 - v**3 + v**3)*(-2*v**2 + v**2 + 0*v**2).\nAnswer: -1108*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 + 135 + 6*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4870787137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*y + 692 + 671 - 5 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 4. Suppose -11*y - 40 = -6*y. Let o be 33\/11*y\/(-6). List the prime factors of h(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2120011231102 - 11?\nAnswer: 2120011231031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33560000 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(225) + sqrt(50)\/sqrt(2)*2)\/(-1*sqrt(245) - sqrt(55)\/(sqrt(11)*2))*-5.\nAnswer: 28*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70655755 is divided by 4111?\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15656 = x, -1554 + 4666 = k + 5*x. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8308*r - 145. Is m(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -109, -0.2, 4, 1, 501\/5.\nAnswer: -109, -2\/7, -0.2, 1, 4, 501\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.2 - 233949.69.\nAnswer: -233940.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 311.036 times 6\nAnswer: 1866.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2\/3 (b) -0.5 (c) 27\/11 (d) -2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17832 by 12.\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*r + 2244 - 553, 3*w = -3*r + 1011. Suppose -r*y = -344*y + 10. Let b = -2 + 3. Solve 5*q + 3*u - 23 = 0, -q + 5*u + b = y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 6, z: 5, f: 2, g: 1}. What is prob of sequence zf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*d + 33689 = 0, -4*h - d = -3*h - 16842. Is h 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 5067473?\nAnswer: 101, 131, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1537 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l. Let i be x(-5). Suppose -i*y + 31*y - 20 = 0. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9 + (-822)\/18. Let k = h - -313. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 3, 0.1, 1\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -90*w**2 - 90*w**2 + 182*w**2. Let g(v) = -v + 3. Let o(x) = 1. Let i(q) = 5*g(q) - 15*o(q). Give p(i(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -153 - 3?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - w - 12, -2*v + w = -3*w - 6. Suppose -3*t - 1 = -v. Is (-6 + 3)\/(t\/(-18)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1101101010?\nAnswer: 1101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.08 (b) -5 (c) -1 (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-25 - -9) + -23.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 7*o**2 + 7*o - 3. Let u be a(6). Suppose u - 11 = -r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.92 in -2, 2, -4, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.874 and 2?\nAnswer: 1.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 40*s**2 + 8*s - 104. Let t(c) = 10*c**2 + 2*c - 27. Determine 3*d(g) - 11*t(g).\nAnswer: 10*g**2 + 2*g - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/190*-15)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.4 + -3.4. Let g = -17\/12 - -5\/3. Which is the second smallest value? (a) g (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21336 and 52100734.\nAnswer: 1778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -557*l**4\/4 + 542*l**3\/3 + 403. What is the third derivative of s(t) wrt t?\nAnswer: -3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 762, 4, -7, -0.09, 7, 3\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.3 - -26. What is the closest to b in 2\/11, 0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 5320683352.\nAnswer: -5320683351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -58*r + 75. What is the units digit of m(-27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-294)\/(-84))\/(7\/4). Suppose 0 = 3*v - 4*f - 5, 0 = -p*v - 2*f + 4*f. Which is the nearest to v? (a) 2 (b) 2\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 7*a + w, -239*w + 235*w + 9 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 127 - 380. Let h = 25 - x. Calculate the highest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/7)*n*n*n**(-5)*n)\/(n**(1\/3)*(n\/n**2)\/n))**(-44) assuming n is positive.\nAnswer: n**(-88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*21\/(-84)*6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 + 17*z + 1. Let a(c) = -c**2 - 8*c - 1. Let l(m) = -5*a(m) - 2*g(m). Let t be l(6). Suppose -4*v = -v - 12. Do v and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4 - (16\/8 - 212).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-271864)\/(-2040) - 133) + 562\/30 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183524 less than -4.59?\nAnswer: -1183528.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24779\/(-86653) + (-6)\/(-21). Let y = -4617352\/61895 + u. Let a = 75 + y. What is the second biggest value in 4, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1154*f + 142 = 1156*f. Let t(u) = -119*u. Let g be t(-1). Let w = f - g. Is -49 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -21. Suppose d = 3*d - 10. Suppose -3*n - 3 = 3. Sort n, a, d.\nAnswer: a, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*m - 4722389 - 7109553 - 3995546. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111100122 + 12?\nAnswer: 11111100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 627293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -42 (b) -5 (c) 6800 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -19*i + 30*i + 3*r, -4*i + 7 = r. Are -3 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9034*j**2. Let n(z) = 2*z**2. Give g(n(c)).\nAnswer: -36136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/55 + 31\/330. Find the common denominator of a and -131\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 80 = 3*g. Let k = 9 + 0. Suppose -51 = -2*y + k. What is the greatest common factor of g and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 3*j**2)*(4*j - 85 + 85) - 8*j**3 + 21*j**3 + 0*j**3 + 14*j**3 as z*j + g + c*j**3 + n*j**2 and give c.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 51435900.\nAnswer: 102871800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 33*j - 4. Let n(o) = -438 + 440 - 4*o - 2*o - 11*o. Determine 6*c(i) + 11*n(i).\nAnswer: 11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dea - -9?\nAnswer: e04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0294715261 + 28.0294784261. Let z = c + -28. Round z to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 13 - 5, -4*b = 2*c - 42. Let u(p) = 24*p + c*p - 51*p. Let i(d) = 11*d. Give u(i(a)).\nAnswer: -22*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*c + 531561 + 786889. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6983615082967 and 0?\nAnswer: 6983615082967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1533.701 + 1533. Let j = 1.001 + f. Is -94 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -5\/3, -195\/4, 3\/473, -1?\nAnswer: -195\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 28 (c) -0.4 (d) -0.3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 3941*n + 74389. Calculate t(-19).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-28) + (-37)\/(-4). Find the third derivative of 8 + f**2 + f**6 + 3 - v + 29*f**4 wrt f.\nAnswer: 120*f**3 + 696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 93010060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 1197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5\/2 + 57*f**4 + 111*f**3\/2 = 0. Calculate f.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s + 96*s**4 - 44*s**4 - 42*s**4 + 15*s**3 = 0. What is s?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193381 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1230441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 1 + 0*r - r + 2*r**2 - 1. What are the prime factors of i(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 35 + (-1047 - -1143)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7))*-2)**2 + ((-1*sqrt(7)*2)**2 - sqrt(7) - sqrt(7)).\nAnswer: 14*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 6*i + 9*i + 25*i)*(8 - 1 + 0).\nAnswer: 336*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*p - 50 = 0, 0*p = 5*v - p - 152. Let l = v - 22. Suppose 0 = 5*t + 2*c - l, 0 = -t + 2*c + 10 - 1. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1982, -3913, -5856, -7817, -9802?\nAnswer: -11817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 29*x**2 + 56*x + 124075 - 124139 - 24*x. Give w(30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -530*o + 2454. Calculate v(5).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 12, w: 6}. Give prob of picking 3 s.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -20. Let m be (-6)\/21 + n\/49. Let k be (-18)\/4*(-2)\/(-12). Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543478007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d - d + (6 - 4 - 4)*(2*d + 1 - 1) + d - 4*d + d)*(356*d - 2*d + 147*d)*(1 - 6 + 3).\nAnswer: 8016*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 0*a**3 - a**3 + 4*a**3 + 0*a**3 - 3*a**3 - 2*a**2 + 2*a**3 + 2*a**2 + (a**3 - 3*a**3 + a**3)*(-4 + 2 + 0) - a**3 - 3*a**3 + 3*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 250, 1, 20, -2 in increasing order.\nAnswer: -5, -3, -2, 1, 20, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8937*o + 2722*o + 3521*o + o**2 + 2694*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9847 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40380063*a*h**2 + 26651*a*j - 3*a + 5685*h**2*j - j**3 with respect to j.\nAnswer: 26651*a + 5685*h**2 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*i - 0*i, 3*m - 2*i + 4 = 0. Does 13 divide 6 + m\/(-6)*138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 101, 41, -21, -85, -151?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17207349 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000853723903 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/12 + 7\/(-14). Let g(i) be the first derivative of -c*i**6 + 4\/5*i**5 + 2 + 0*i**2 + 0*i**3 - 1\/2*i**4 + 0*i. Factor g(u).\nAnswer: -2*u**3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 0 + 1\/60*y**5 - y**2 + 5\/12*y**4 + 0*y + 5\/3*y**3. Let j be i(-9). Which is greater: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {e: 1, j: 1, z: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973949337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3864?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15743)\/(-3633) + 11\/(-2).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r + 71 = -505 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 24. Calculate b(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3312 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6926004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 312665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b + 5*b = -20*b. Suppose 4 = -b*c + 5*c - 4*h, -1 = 3*c + h. Solve 86\/3*t**3 + 14\/3*t**5 + 20*t**4 + 8\/3*t + 16*t**2 + c = 0 for t.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3665 and 6.6536?\nAnswer: 24385.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*m - 2*b - 4 = 420*m, 2*m - 4*b = 8. What is the closest to 4 in -1\/15, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4, 2.2, -90897?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 435203809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*k, -5*s + 16 = -4. Suppose 0 = k*w - 1 - 39. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/15 + 6\/20. Let b = -1\/30 + f. Which is smaller: 2\/7 or b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:55 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1433, 1499, 1609, 1763?\n\"Answer: 22*m**2 + 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -1. Let k be 3\/(v\/2) + 7. Let p = 36 - k. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23 + 24 - 3*j - 44 to d*j + w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-616)*4)\/((-64)\/(-168))\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -3, -1, 286\/7 in decreasing order.\nAnswer: 286\/7, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 13*c - 94604*c**2 + 4 - 13*c.\nAnswer: -94604*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.455086 months?\nAnswer: 0.014545905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -501 + 96365\nAnswer: 95864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -61, -130, -223, -340, -481, -646?\n\"Answer: -12*n**2 - 9*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 5*x**2 + 204 + 179.\nAnswer: -5*x**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 24. Let h be (-2)\/w + 5\/10. Suppose -3*b - 3*r - 19 = -r, 3*r + 6 = 0. What is the nearest to 1 in 5, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 60. Let p = 171 - 173. Let z(g) = -3*g**2 + 5*g - 10. Let u(y) = -y**2 + 2*y - 4. Let m(t) = p*z(t) + 5*u(t). Determine m(d(h)).\nAnswer: 4*h**2 - 240*h + 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3173 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -873, -2, -33376, 1\/4, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 396\/7 (c) 2 (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 446, -578, -2572, -5860?\nAnswer: -10766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*l + 30 = 0. Suppose -4*v = v - l. Find the first derivative of -3*b - 1 - v*b - 2*b**3 + 6*b wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 54 = -87. Suppose t + 1 = 2*p - 5*p, 4*p + t = -1. Let c = k - p. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k + 30. Let b(i) = 2374*i - 4753. Let t be b(2). Calculate j(t).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1216.038 + 1211. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**(-3)*l)*l*((l*l\/(l\/((l\/((l*l*l**(-3)*l)\/l))\/l))*l)\/l)\/l)**(-3\/14)*l**(-2)*l**(-1)*(l**0*l)\/l**(-1) assuming l is positive.\nAnswer: l**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -4, 0 = 3*m - 5*u - 40. Suppose m + 1 = -4*h, 3*h + 14 = 2*l. Solve -1 = -z + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 70\/9?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlllt. What is prob of sequence lt?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -13\/30*k**6 + 1\/12*k**4 + 4*k + 0*k**2 + 0 + 9\/20*k**5 - 1\/3*k**3 + 5\/42*k**7. Let j(n) = 0. Calculate n.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*j**3 + 2625*j**3 - 109*j + 109*j.\nAnswer: 3261*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -391*b - 415*b - 368*b + 1105*b - 678*b to the form l*b + r and give l.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 21. What is the remainder when 307 is divided by i(-13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/11)\/g*g*g**(-3\/11)\/g)\/(g\/g**(-1\/4))**(5\/2) assuming g is positive.\nAnswer: g**(-33\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - 39*r - 4. Let j be l(-20). Let m be j\/28*1\/(-3). Which is the nearest to m? (a) -0.8 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 173806*l**3 - 173806*l**3 + 2*l**4 - 2*l**2 to the form a*l**4 + m*l**2 + s*l + d + t*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/5 + 46*u**2\/5 = 0?\nAnswer: -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68) + 2) + ((sqrt(153)*2)\/sqrt(9) - (1*sqrt(102))\/sqrt(6)))**2.\nAnswer: 24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x - 4*x - 4*x + 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -106*z + 112. Give f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d**2*(d*d**(-1\/2))**(2\/179))**(-34) assuming d is positive.\nAnswer: d**(-54808\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*o - 4 = 0, 0 = 85*l - 89*l - 5*o + 2. Sort -6, 1, -3, 0, l in descending order.\nAnswer: l, 1, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 211, -2, 12 in decreasing order.\nAnswer: 211, 12, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58\/23*f - 124\/23 + 2\/23*f**2 = 0.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -14. Suppose -51 = -h*j + 5*j. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17128380601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3.1 (b) -1 (c) 3 (d) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 6:54 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72f (base 16) to base 7.\nAnswer: -5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -80 - -26\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132331\/24 - 5511. What is the common denominator of -19\/210 and m?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3923875374.\nAnswer: 2, 3, 19477, 33577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(190) - 5*sqrt(190)*-2)\/(((1*sqrt(140))\/sqrt(7))\/(sqrt(20)\/(sqrt(30)\/sqrt(3)))).\nAnswer: 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 499 - 184. What is the smallest common multiple of 36\/48 - w\/(-4) and 1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**2 - 2*p - 1. Let b be o(-4). Is b\/4 - (-177)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.1602007 rounded to three decimal places?\nAnswer: 27.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167439 is divided by 1823?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2096 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*a + 3*a - 2588, 0 = -2*x + 4*a + 1294. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5 + k + 3*k + 6*k - 6*k. Let g = -2 + 4. Let w be d(g). What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -36. Let j(i) = n*i - 3*i - i + 11. Suppose -5*a - 23 = 5*q + 12, a = 2*q - 1. Give j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -31. Sort 1, 2, q in decreasing order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -40, -32, -2, 62, 172, 340, 578?\n\"Answer: 2*z**3 - z**2 - 3*z - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 3534*f + 1040763.\nAnswer: 3*(f - 589)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02779 rounded to 4 dps?\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40862.\nAnswer: 2, 20431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -2\/26647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 39*y + 11. Let s be z(26). Let b = s + -45097\/44. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*q = 5*l - 3, q = -5*l - 13. Let r(d) = -4 + 2*d + d**2 + d + 0*d - 5*d. What is r(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559*220523\nAnswer: -123272357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (14 - 8 - 1188\/117).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**3 - 9*l**2 + 99*l - 2. Let z(g) = 8*g**3 + 11*g**2 - 99*g + 3. Let q(j) = -3*n(j) - 2*z(j). Find the second derivative of q(c) wrt c.\nAnswer: 48*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmwuzbmmwuwbzzmwm. What is prob of picking 1 z and 1 m?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 - 5*d + 5. Let z(u) = u**2 - 3*u + 1. Let g(a) = v(a) - 5*z(a). What is g(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15764 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61540 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 11*f + 60. What is the smallest common multiple of 3*(-2 + (1 - -6)) and m(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixiiikibikikkiikiik. What is prob of picking 2 i, 1 b, and 1 k?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3*v**4 + 2*h**3*v**2 + 23*h**3 - 5*h**2*v**2 - 5841*h*v**4 + h*v wrt v.\nAnswer: 24*h**3*v - 140184*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2871, -2723, -2473, -2073, -1475, -631, 507?\n\"Answer: 8*f**3 + 3*f**2 + 83*f - 2965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-2)*((-2)\/(-66))\/((-148)\/(-3256))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 12, 16, 20?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2108202 (base 10) to base 16.\nAnswer: -202b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*y - 50580001, y + 25290002 = -s - s. What is y rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b + 8. Let w be (-14)\/4 + (-8)\/(-16). Let u(x) = -4*x + 3. Let g be (-56)\/6 - 2\/(-6). Let o be 25\/3 + 3\/g. Determine o*u(q) + w*f(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5428*d + 24 = -5437*d, 6 = 2*j - 5*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.2. Let p = -656 - -651.05. Let z = p - -4.95. Sort 4, g, z in descending order.\nAnswer: 4, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -121*k - 3. Let g be u(-3). Let n = g + -176. Suppose m + 2*z = 5*z + 194, m - z = n. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - q. Let x(l) = 8*l**2 - 22*l + 69. Let k(h) = -5*o(h) - x(h). What are the prime factors of k(-18)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211756 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 616\/(-55)*5*(-1)\/12*6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 12*r**2 - 12*r + 55. What is j(-9)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 284133601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/55 and 15\/2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/35*(10\/(-7))\/(408\/(-119))*13?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3223531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 18 + 22 = 2*p, -p + 6 = -m. Let a = 4 - -4. Is (131*(-3)\/(-6))\/(p\/a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**2 + 5*o + 5. Give y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) + 2\/3. Suppose j*c = 2*c - 22. Let w = c - 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 w when three letters picked without replacement from {w: 5, k: 14, n: 1}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + 139. Let u be x(12). Let i(y) = y**3 + y**2 + 2. Let m be i(-2). What is the second biggest value in 1, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 28. Let t be 90\/q + 1 + -1. Let z(r) = -r**2 + 4*r - 3. Give z(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5309594219?\nAnswer: 53, 100181023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 55242?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*d + 782 = -428*d + 851*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11758704, 23517406, 35276108, 47034810?\n\"Answer: 11758702*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/5))**42*(y**9\/y*y)\/y**(-2\/5) assuming y is positive.\nAnswer: y**(299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10212002 (base 3) in base 14?\nAnswer: -104a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let a be (l\/(-1) - -8)\/(-1). Suppose 2*k = h + 7*k - 9, h - 4*k = 0. Let r(b) = -6*b**2. Let z(y) = -13*y**2. What is a*r(o) + h*z(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.5719 + 0.0981. Round a to one dp.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -5*i**8\/168 - i**7\/42 + 3*i**6\/8 + 13*i**5\/12 + 25*i**4\/24 - 394*i**2. Suppose a(q) = 0. Calculate q.\nAnswer: -1, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636, 634, 624, 600, 556, 486, 384, 244?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*h + 2*p - 3, 0 = -4*p + 16. Let q(z) = -55*z**3 + 1. Let c be q(h). Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1207019 (base 10) to base 14.\nAnswer: -235c39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 11*c**8\/1680 + c**4\/6 + 4*c**3 + 2. Let y(t) be the third derivative of l(t). Find the first derivative of y(h) wrt h.\nAnswer: 44*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/1125 and 26\/130275.\nAnswer: 651375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 7*r + 2. Let q be l(6). Let f be ((-2675000)\/(-6))\/(q\/96). Round f to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (2 - (2 - 1)). Suppose 155 = w*x - 15. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201 - 1002\/5. Let w = -51\/44 + 10\/11. Which is the second biggest value? (a) q (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744*d**3 - 4572*d**3 + 750*d**3 + 754*d**3 + 755*d**3 + 760*d**3 + 764*d**3.\nAnswer: -45*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*q + q + 8, 4 = -2*q. Is 3\/12*2*(d - -614) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 13*u**2 + 16*u - 30. Calculate g(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.789 greater than -20.234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -38.9. Is d greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 + 4*u. Determine m(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -797361*1\nAnswer: -797361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 - 25) + (-6 - (-17 + 3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -347499, -694994, -1042489?\n\"Answer: -347495*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 9:02 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1580c7 (base 15) to base 13.\nAnswer: 2a52cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + k + 1. Let b(u) = 5*u**3 + 5*u**2 - 6*u + 6. Let t(s) = -b(s) - 2*c(s). Suppose 11*y - 15*y = 24. Give t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*c + h, -3*c - 5 = -2*h - 15. Let p(l) = 3*l + 0*l**2 - 2 + 2*l**3 - l**3 - l**c. Let z = -1 + 3. What is p(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113781847 to the nearest integer?\nAnswer: 10667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g. Let y(a) = -39887*a + 1. Give y(n(j)).\nAnswer: -39887*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*u + 4*i + 72, -2*i - 48 = -2*u. Suppose z - u = -2*z. Solve 4*s - 24 = 2*d, 3*s - s = -d + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1460, 2920, 4380, 5840, 7300?\nAnswer: 8760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**5\/45 + 7*t**4\/9 - 46*t**3\/9 + 140*t**2\/9 - 200*t\/9 - 99. Suppose w(x) = 0. What is x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -13. Suppose 0 = -u*q + 3*q - 30. Let x(b) = -9*b - 13. Let g(i) = 5*i + 7. Determine q*x(c) - 11*g(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 14672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1980398770 to the nearest integer?\nAnswer: 44502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqffqqffqqqqqq.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*l - 0*u + 12, 2*u + 16 = 2*l. Let b be l\/(-6)*(-164)\/8. Is b >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (596\/596 - (4\/6 + 1))*6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32416 by -6.\nAnswer: 16208\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 177 = 46 + 164 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 6*x - 1397*x**2 + 1306*x**2.\nAnswer: -91*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 676.2436821 rounded to 1 decimal place?\nAnswer: 676.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2446015?\nAnswer: 5, 11, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 236368 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*z - 34 = -2*b + 228*z, -5*b + 2*z + 85 = 0 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 j when four letters picked without replacement from jjmjjjjjjrjjjjrjj.\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/15 + 13*k**4\/3 - 101*k**2 + 3*k. Find h such that t(h) = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2040*w**4 + 9579\/2*w**2 - 96*w**5 - 1263*w + 108 - 5346*w**3 = 0.\nAnswer: -18, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3275 and -69\/524.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -813*n + 36. What is v(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - sqrt(6))*3)\/((sqrt(144) - sqrt(9))\/sqrt(3)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:35 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/192*-32*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.1, 4329, 0.2 in increasing order.\nAnswer: -10, -0.1, 0.2, 4329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f. Let a(m) = -13*m. Let o(v) = 2*a(v) - 22*y(v). Suppose -5*h + 17 + 18 = 2*p, 5*p - 45 = -4*h. Let k(c) = -c + 0*c + h*c. Determine k(o(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 2. Let l(y) be the first derivative of -10*y**2 - 530. Give f(l(p)).\nAnswer: 400*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**11*k*k**(5\/3)\/k)**(-3\/14))**34 assuming k is positive.\nAnswer: k**(-646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w - 8*w - 159 = 585 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107838486 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064640077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 2*r = -57*v + 15, -v + 4*r + 15 = 0. What is the remainder when v is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3\/2*h**2 + 137 + 0*h. Let i(r) = -r**2 + 22*r. What is i(j(w))?\nAnswer: -9*w**2 + 66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5953\/4 + -1488. Let p = -89 + 359\/4. Find f, given that x*f**3 + p*f**5 + 0*f + 0 - f**4 + 0*f**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/24)\/(45\/(-10)). Put 2\/7, 2\/3, w in ascending order.\nAnswer: w, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35\/884 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 3241.1988?\nAnswer: -9723.5964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 2. Suppose -92 = -4*y - 0*y + 4*j, 2*y - j = 51. Suppose -5*u = -2*n + 23, 5*n - p*u = y + 4. What is the greatest common divisor of n and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3134, -11224, -24708, -43586, -67858?\n\"Answer: -2697*r**2 + r - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -1, -16.\nAnswer: -16, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -10 - 11 - (-4 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*t = -486, -2*t - 5 - 3 = 0. Suppose -16*k + 3 = -q. What is the remainder when 119 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, y: 5, l: 2, q: 2, a: 4}. What is prob of picking 2 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 96019534 a multiple of 2318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 8\/6)*-6. Let n be (-6)\/(-24) + 2599999\/m. Round n to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-73565)\/(-21) + ((-8088)\/252 - -32). What is the greatest common divisor of c and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 7*x**2 + 5. Let d be r(7). Suppose -d*g - y - 10 = 0, -7*g + 2*g - 30 = 5*y. List the prime factors of -17*(g + (2 - 2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*b - 496 = -515*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -904*s**2 - 667*s**2 + 451*s**2 + (s + 3*s - 5*s)*(2*s - 2*s - 3*s) to the form z*s + h*s**2 + i and give h.\nAnswer: -1117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 3 + 3)*(-2*o - 3*o + 4*o) + o - 4*o**2 - 4*o**2 + 2*o**2.\nAnswer: -13*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65031, 65313, 65771, 66405, 67215, 68201, 69363?\n\"Answer: 88*a**2 + 18*a + 64925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -767, -1103, -1439?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/6*48\/20. Does 3 divide (-2)\/(-4)*(8 + l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 5831*s - 5829*s - 1, 0 = -5*c - 6*s - 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 4520158 + 4520158 + 125*y**3 + y**2.\nAnswer: 125*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318163849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -118c3 + -2?\nAnswer: -118c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2503, 5002, 7487, 9952, 12391, 14798, 17167?\n\"Answer: -z**3 - z**2 + 2509*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1978 and 1290.\nAnswer: 29670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -32. Suppose -f + u - 3*u = -101, -3*f + 308 = b*u. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21\/9*(5622\/3)\/(32\/144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**7\/1260 - f**6\/720 + f**5\/360 + f**4\/144 - 32*f**2. Determine k so that v(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1502*w + 151058 = 348*w - 181829 + 64637 for w.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x + 2. Suppose 0 = -4*i + 4*j - 4, 6 + 3 = -3*i + 5*j. Determine q(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 545 + -329. Calculate the greatest common divisor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(1316920\/(-246))*(-1)\/(-6)*4*2.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0091155 rounded to four dps?\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6274 - -17024. List the prime factors of h.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18332504*f**3 + 134*f**2 + 18335014*f**3 - 11*f**2 + 2 wrt f?\nAnswer: 15060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*u**2 + 2 + u**2)*(-3*u + 3*u + 3*u).\nAnswer: -3*u**3 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.912 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -188819106 divided by 301\nAnswer: -627306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*k - 4, 0*l - 2*k - 2 = 4*l. Let w be -4 - (l + -3) - -2. What is the nearest to -0.1 in 2\/15, 2\/3, w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 411 and 109832763.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*q + 11*q. What is the lowest common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let j(v) = 6*v**2 - 2 - 1 - 1. Let s(m) = -13*m**2 + 9. Suppose 5*b = -0*b - 20. Let k(c) = b*s(c) - 9*j(c). Give k(z(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) + -1)*-3 + sqrt(176) + sqrt(176))*2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -38, -63, -106, -173, -270, -403?\n\"Answer: -t**3 - 6*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 - 33. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 4\/25 (c) -15 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h + 25 = 0. Suppose 22 = d + h*b - 10, -18 = -d + 2*b. What is the greatest common divisor of 176 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6012429?\nAnswer: 3, 101, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-184892)\/(-64) - (-6)\/(-4). Let a = h + -2886. Find the common denominator of a and (-250)\/(-96) + (-2)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28b86 (base 12) in base 10?\nAnswer: -56982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z + z**2 - 4*z)*(2*z + z - 4*z) + 0*z**3 - 4*z**3 - z**3)*((2 + 2*z - 2)*(1 - 3 + 3) + 2*z + z - 6*z).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1151 and 97.\nAnswer: 96.8849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 5*l**2 - l - 3. Suppose -4*f + 2*m + 7 = -11, -f = 2*m + 3. Suppose q = 3*a + 7, a - 7 = f*q - a. Determine z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + m**2 - 3*m**2)*(-2 + 4*m + 2) + (-2*m**2 + 0*m**2 - m**2)*(0 + 0 + 2*m) - 3*m**3 - m**3 + 2*m**3 + (m - 2*m + 2*m)*(0*m + m**2 + 0*m).\nAnswer: -27*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 231 = -n, -6*z + 582 = -z - 2*n. List the prime factors of z - 6\/(-2)*1.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 259*r**2 + 3*r + 99. Is m(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220230 - -21220131?\nAnswer: 13333301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*u + 7*u - 1740 = 29*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/24, -10, 1 in descending order.\nAnswer: 1, 1\/24, -2\/7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 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: ((-924)\/(-420))\/(-1*(-3)\/15)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(180) - (-1 + (sqrt(180)*1 + sqrt(180))**2)))*-5.\nAnswer: -90*sqrt(5) + 10725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1219 and 153\/(-3060) + 82\/40.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.6 - 5.85. Let d = g - -1.44. What is the biggest value in -0.2, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -17*i - 1. Let z(x) = -9*x**2 - 55*x**3 + 27*x**3 + 1 + 0 + 22*x + 27*x**3. Let g be z(-11). Give o(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33.8 times 960.235\nAnswer: 32455.943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1500\/(-7000) + (-218)\/28\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -130538*h + 1305335. Give d(10).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.78 - -0.22. Let m = j + -8. Which is the third biggest value? (a) 4 (b) -3\/2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 398, 377, 322, 215, 38, -227, -598, -1093?\nAnswer: -1730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, x: 9, a: 1, k: 1, j: 1}. What is prob of sequence xj?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 109d4 (base 14) to base 8\nAnswer: 116656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -24*k + 3933. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 8 (c) -0.2 (d) 1\/13 (e) -9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(-15))\/((-582)\/(-4365))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, -3\/5, -3\/2, -28\/27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14586294\/35959 + -16\/35959. Is 407 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1760*b*l**2*n + 2*b*l**2 + 243*b*l*n**3 - 346699*l**2*n**3 + 617*n**2 wrt n.\nAnswer: 1458*b*l - 2080194*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66483 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -477, -1715, 0.0525 in ascending order.\nAnswer: -1715, -477, 0.0525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, -2, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**3 + 308*m**2 + 6933*m + 2?\nAnswer: -30*m + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 j when three letters picked without replacement from jjmjjjjj.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001675165467 to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 49a2d4 - 5?\nAnswer: 49a2cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22210 + 32217. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-5))\/((-28)\/(-70)). Suppose -8*p + o*p - 18 = 0. What is the third derivative of 5*v**3 + 36*v**2 + 3*v**p + 6*v**3 wrt v?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -18172*h**2 + 24958. Let i(a) = -12114*a**2 + 16639. Let s(l) = -7*i(l) + 5*m(l). What is the derivative of s(r) wrt r?\nAnswer: -12124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - u**2 + 2*u + 1. Let k be x(2). Let y = k - -27. Suppose -3*s - y = -3*m + 2*s, 0 = 3*m + 2*s - 12. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = 20*f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Let g(l) = -2*l**2 + 5*l - 8. Let b be g(2). Let o be -22*3*b\/36. Solve -1 = -z*w + o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - y + 224. Let j be l(0). Suppose -5*a + 5*q + j + 2501 = 0, 2168 = 4*a - q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 3:34 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31449961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -648, -621, -580, -519, -432?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.0007 - -8. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -80.05?\nAnswer: 32.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 = 2780*i - 2778*i, -3*i + 8*b - 14 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -380 + 369. What is the third biggest value in x, -4, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 7751.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 22*r = -259, 8*o - 56*r + 20 = -51*r - 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 + 86*x - 786. Calculate m(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 5, -473 in ascending order.\nAnswer: -473, -29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 85 = 2*h, 0 = u + 4*h - 5*h - 35. Suppose -u*t + 720 = -33*t. What is the common denominator of 37\/4 and -2 - (1587\/t + (-2)\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45665828 by -1061996.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443481631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*b*r**2 + 4333*b*r - 146394*r**2 + 250*r wrt r.\nAnswer: 80*b - 292788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 325548\nAnswer: -1\/325548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376 and 258.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (0 - (-6 + 2)) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 663 and -0.34279 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 10 - 3 - -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3. Let a = 0.3 + 0.7. Let w = a - 3. What is the nearest to j in -0.1, w, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*y**3 + 56*y**3 + 58*y**3 + 54*y**3 - 2*y**3 - 221*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 2) + -3 - (40 - -2)) + (1716 - 1711).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -271867 * 0.3.\nAnswer: -81560.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f + 70*f = 0. Suppose f = -x - x + 80. Let m be (x\/28 - 1)\/((-3)\/2). What is the smallest value in -4, m, 9\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41896 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2 - 1. Let z(y) = -y**2. Suppose 2*j = x + 3*x + 80, -j = -4*x - 84. Calculate x*z(c) + 2*i(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let t = 1553\/3 - 531. Let n = t - -163\/12. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3559350 divided by 1186450.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) + -5)*-2.\nAnswer: -10 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 133, -2.4, 3\/8, -15, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5950 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = -4. Suppose -k + 58 + y = 5*v, 69 = k + 3*v. Suppose g + 3*g = p - 20, k = 5*p - g. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26633 - 4151?\nAnswer: -2a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, s: 7, p: 11}. Give prob of sequence pxps.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2102 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13345\/7065 + 2\/18. Factor -16\/11*m**3 + 16\/11*m**i - 288\/11 - 2\/11*m**4 + 192\/11*m.\nAnswer: -2*(m - 2)**2*(m + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = 21*g - 263. Let o be 29\/3 + (-2)\/(-6). Calculate the greatest common factor of o and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from biiibbibiibib.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1865665 (base 9) to base 15\nAnswer: -15a50e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1472936*f**2 + 169720 wrt f.\nAnswer: -2945872*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -179\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*i**6*p - 373*i**5 + 12*i**2 + 3606*p wrt i.\nAnswer: 11640*i**3*p - 22380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1996 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -891622, -3566442, -8024460, -14265670, -22290066?\n\"Answer: u**3 - 891605*u**2 - 12*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*o - 664*o + 1660*o = -178206 + 41730 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1855 = -3*m + 41*j - 36*j, 3*m = -2*j + 1862. What is the highest common divisor of 820 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*s**3*z**2 - 3*s**2*z**3 + s**2*z + 2*s - 256*z**3 wrt s.\nAnswer: 54*s*z**2 - 6*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*j - 1 + 257*j + 0 + 4 + 2 - 3.\nAnswer: 17*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = 6*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -212*i**2 + 111*i**2 - 13 + 17*i + 100*i**2. Give f(13).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -n + 19. Let i = -15 - -33. Let r be (-2)\/7 + i\/n. Let f(h) = -h**3 - h**2 + h - 11. Give f(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52528 by 1.\nAnswer: -52528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19974633 - 19974658.400306. Let j = -25.4 - u. Round j to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157900 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooojoooojkoojkjjj. Give prob of picking 1 o, 1 k, and 1 j.\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-9))\/(2\/((-24)\/6)) and -103\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 228*s**4 + 18*s**3 + 207. Let a(p) = -455*p**4 - 39*p**3 - 413. Let b(x) = 6*a(x) + 13*z(x). Differentiate b(y) with respect to y.\nAnswer: 936*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13518 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 77*l**5\/5 + 3*l**4\/4 - 7*l**3\/2 + l**2\/2 + l + 18. Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 277075*h + 12458250.\nAnswer: 5*(h - 55370)*(h - 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = 2*d + 3, 3*d = 4*b + 5. Let u(a) = -a**3 + 3*a**2 + 5*a - 6. Let m be u(4). Which is smaller: m or d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 71.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let q be f(-4). Let v(d) = d**3 - 4*d**2 - 4*d + 7. Is 9 a factor of v(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 70403*w**2 + 89118*w**2 - 6)*(3 + 2 - 3).\nAnswer: 37430*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 181, 307, 493, 745?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, f: 7, s: 4}. Give prob of picking 4 s.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3994 divided by -3.\nAnswer: -3994\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-98)\/(-7))\/7 + (-2 - 0). Solve q*b + b = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j**6)**(-6)\/((j\/(j**0*j*j))**(-30)*j**(-1\/4)\/(j**(-5)\/j*j)) assuming j is positive.\nAnswer: j**(-259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 4*v**2 + v + 4. Let o be l(-4). Suppose 0 = 5*b + 3*w - o*w - 89, -3*b + 5*w = -33. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:02 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b - 59*b = 40. Let t(f) = f**2 + 8*f - 12. What is the units digit of t(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - g + 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*b**3 - 3*b**4 + 27*b**3 + (-2*b**3 + b**3 + 2*b**3)*(-b - 2*b + 2*b).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s. Let p = 5 - 0. Let b = 7 - p. Let d(q) = -3*q**2 + b*q**2 - 3*q**2 + 7*q**2. Calculate m(d(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-80))\/((1\/2)\/(25\/(-10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6)\/((-3)\/36). Let c be j\/2 + 5 + -6. Solve c*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let l(j) be the third derivative of -j**4\/4 - 153*j**2. Give -2*l(g) + 6*q(g).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 692 - 109. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149402 is divided by 152?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.41 + -112.59. Let l = q - -111. Which is the nearest to l? (a) 2 (b) 2\/17 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m = 3*a - 36, 3*a = 0. Let l = m + 12. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1689 + 407. Suppose 422 = 3*a + m. Is 13 a factor of 5\/35 - a\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -79, -128, -177, -226?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/4 + (-8)\/(-184) + (-4046)\/(-3220)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000101 - 10111111101?\nAnswer: -10011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10418 by 559.\nAnswer: 10418\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-7))\/((-12)\/(-132))*5\/(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -8. Suppose 2*n + s = 21, 5*s + 0 = 2*n + 9. Suppose -4*p - n = -3*f - 0*p, -23 = -5*f - 3*p. Which is the biggest value? (a) u (b) f (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242043 - 202?\nAnswer: 241341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(114)*-1*-6 - sqrt(114))\/sqrt(6))**2 + sqrt(2299)*-1*-3*-2)*-4.\nAnswer: -1904 + 224*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*q - 133*q - 81*q in the form d*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 350*q - 7. Is d(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 121, 244, 389, 568, 793, 1076, 1429, 1864?\n\"Answer: 2*l**3 - l**2 + 112*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-250)\/(-1050)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -96. Let k = 52 + d. What is the closest to -1 in k, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/147 - 31*f**6\/105 + 249*f**5\/70 - 15*f**4\/14 - 450*f**3\/7 + 1831*f. Solve m(h) = 0.\nAnswer: -2, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -7006, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g = -41*g - 88 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -2998961.\nAnswer: 1\/2998961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803, 1606, 2389, 3146, 3871?\nAnswer: 4558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 9401.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289162?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooooooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 175786 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 561, 3, -2\/5, -2, -11.11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*v + 15 = 2*w, v = -w + 6. Suppose -w*b = -29 + 4. Let a(h) = 3*h + 1. Let g be a(b). Solve -5*q + 2*u = -15, -g = -q + 2*u + u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*x**2 + 34*x**2 + 5*x**3 + 3 + 20*x - 7*x**2 to the form u*x + c*x**2 + j + i*x**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w + 5 + w**2 - 3 - 5. Is t(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(3 + sqrt(17)))**2 + (-1 + sqrt(34)\/sqrt(2))**2 + sqrt(17) - ((sqrt(272) + 0 - sqrt(272)) + sqrt(272))*1*4).\nAnswer: 199*sqrt(17) + 951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/48 + 1\/16. Which is the smallest value? (a) 0 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/6, 5, 0.3 in descending order.\nAnswer: 5, 19\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1420 (base 5) to base 10\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(4284\/136))\/((-40)\/35).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - 5*w - 1. Let x be h(-4). Let g = x - 47. 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: How many minutes are there between 7:00 AM and 3:22 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1\/f**(-2)*f\/f**(6\/5)*f\/(f\/(f\/(f**(-17)\/f))) assuming f is positive.\nAnswer: f**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((0 + sqrt(405) + (sqrt(405) + 0 + 5 - sqrt(405)) + -4)**2 - (1 + -3*sqrt(405) + (sqrt(405) + 0)*3)**2).\nAnswer: 18*sqrt(5) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:28 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 2*j - 4*j + 6*j + 52*j**2.\nAnswer: -j**3 + 52*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*c, 1 = -c - 3. Suppose -14*n = -j*n - 40. Solve -3*r = -3*d - n + 1, 3*r - 12 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 6795*j - 34100.\nAnswer: 5*(j - 5)*(j + 1364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3314 - 13255\/4. What is the fourth biggest value in -0.1, v, 7, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28353 by -13.\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 20 = c, 0 = 4*c - 335*u + 334*u - 14. Suppose 10 = 5*r - 0. Solve c*v - 6 = -r*f - 0, 0 = 4*v + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*g - 86*g + 2*a - 23, 5*g + 3*a + 28 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 7 - 3. Let f = 117807 + -589037\/5. Let m = -3 - -5. Which is the nearest to f? (a) m (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180662840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44489 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/60 + p**3\/6 - 6*p**2. Let x(u) = u**2 - u + 1. Determine -s(i) + x(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*h - 30*h - 2. Solve 5*y + p = 20, -3*p = h*p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 34 = p + 14, 0 = -p - d + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m + 4\/3*m**3 - 1\/8*m**4 + 0 + 0*m**2. Let t(w) be the second derivative of l(w). Let b(i) = i + 2. What is 3*b(q) + 2*t(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 20\/50. Let c(h) = -3*h + 58. Let o be c(18). Solve -o*y - y - 15 = n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54664007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 21*r**2 - 20*r. Let h be f(20). Solve h = -0*j - 3*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Let s = -16 + a. Let r be (-2)\/(-6) + s\/(-3). Solve j - 3*p + p = -2, 4*p - r = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51.918 - 52. Round g to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11140202411 - 10?\nAnswer: -11140202421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(45\/(-2))*102\/(-85)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*b + 4344 - 5046 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3)*l*l*l*l**(-2\/7)*l)\/(l**8*l*l*l\/(l\/(l\/(l\/(l**(-3\/8)\/l))))))\/(l*l**(-2\/7)*l*l**(1\/6)*(l*l**(2\/7)\/l)**(-1\/44)) assuming l is positive.\nAnswer: l**(-18083\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jflj when four letters picked without replacement from ljjjjwljgjjfjgjjjjf.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -12. Solve 4*v = 3*c - 31, 4*c - 57 + 21 = i*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33122 is divided by 338.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*c - 5*c. Let z = c - -23. Let g be 13\/3 - 1\/3. Solve 4*t = -z, g*y = 2*y - 3*t - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 11:40 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*t**2 + 338*t**2 + 309*t**2 + 3*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + 438*j**2 - 438*j**2)*(0 - 4 + 3 - 2 + 4 - 1 + 1 + 2 - 2 - 1 - 3 + 5 + (-1 + 3 - 3)*(-2 + 1 + 2)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u - 10. Let o be x(-8). Let m = 2 - o. Suppose n = -m + 13. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056 divided by 4?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 455195575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 12*a**3 - 12*a**3 + (-4*a + a + 16*a)*(2*a - 3*a + 2*a - 4*a**3) to c + t*a**4 + r*a**3 + m*a**2 + p*a and give t.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 6*b**2 - 15*b + 2 + 15*b. Let x be k(5). Calculate the greatest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-63))\/((-192)\/(-336)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 58*a**2 + 0*a - 272 + 0*a + 130.\nAnswer: -58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n + 3*n**3 + (-3*n + n + 0*n)*(n - 2*n**2 - n) + (-2 + 4 - 3)*(-2*n**3 + 5*n**3 - 2*n**3) - 2*n**2 + 2*n**2 - n**3 + n - n + n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 588347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10\/(u\/(u*u\/(u\/u**14)*u))*(u*(u\/(u*u\/u**7))\/u*u)\/(u*u**(-6)*u) assuming u is positive.\nAnswer: u**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2355 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 41*q**2 + 1493*q - 17. Let f(o) = 5*o**2 + 188*o - 2. Let v(h) = -17*f(h) + 2*i(h). Let z(t) = 4*t. Determine z(v(l)).\nAnswer: -12*l**2 - 840*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*sqrt(297))\/sqrt(11) + -5 + 1 + (sqrt(27) + sqrt(162)\/(2*sqrt(6)) - (-1*sqrt(3267) - sqrt(27)))**2.\nAnswer: -48*sqrt(3) + 19667\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:27 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7618)\/121888)\/((-2)\/2048).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5632088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) -0.05 (b) 0.2 (c) 0.05 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x**4 - 280*x**3 + 649*x**2 - 54*x - 144 = 0. Calculate x.\nAnswer: -2\/5, 3\/5, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + 41. Let n = i - 986\/9. Find o such that 0*o**3 - 4\/9*o**2 + 2\/9*o**5 - 2\/9*o + n*o**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose 0 = 4*c + 4*p, -2*c - p = -5 + 3. Solve -x = -c*x + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140640*j + 140643*j + 3 - 281289*j.\nAnswer: -6*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/7)\/((-252)\/(-5712)*34)?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 135, 5, -31, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248669\/936 - 3680\/117. Let l = -296 - z. Which is bigger: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-28 - -10) - (8 + 3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126 - 1215907?\nAnswer: -1215791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 76 = 44. Solve -13*x = -h - 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 375 = -4*u, -q + 218 = 3*u - 192. Let t = 522 - q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1960 or 1963?\nAnswer: 1960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, e: 13}. What is prob of picking 1 y and 2 e?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 877997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-114 + -3)) + -179?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a - 15 = 0. Suppose -3*j = 2*j - 25. Suppose a*f = 2*x + 11 + 8, -j*x = 5*f - 40. Is x equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000423792 to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -1. Let h = 1012 - 7085\/7. What is the smallest value in -2\/11, h, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*q - 291*q - 377*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 - (19 + -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-2)*40\/15. Let q = 73 - 52. Suppose -t + q = 2*t. Calculate the highest common factor of t and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 21*c - 2. Let y(i) = 1. Give -x(n) - 3*y(n).\nAnswer: -21*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/16)\/((-4)\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 - (-1 - (2 + -5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 27503 + o**2 + 16*o**2 - 27540 + 4*o**2 to the form x*o**2 + z + f*o and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 285*o**2 - 801*o - 128. What is q(3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1409 = 2*f, -22*d + 23*d = 5. Calculate the greatest common divisor of f and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 28*g**4 + 48*g**3 - 100*g**2 + 24*g = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -26 - ((20 - 1) + (287 - 156))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c8c7 + -472?\nAnswer: 1c455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26151507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43642212 to the power of 1\/2, to the nearest integer?\nAnswer: 6606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 - 15 - 0). Suppose 4*d = -0*n - n + 10, -4*n = -2*d + y. Suppose -3*h + 10836 = -t - t, d*t - 3601 = -h. What is h rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 194*t**2 - 30*t - 93. Let p be j(-3). What are the prime factors of (6\/3 + -4)*p\/(-14)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/19? (a) 3\/4 (b) 5 (c) -0.04 (d) -326\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29767 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 4*y + 18 + 49, 5*r - 58 = -y. Let q be (12 - (-119)\/(-21))\/((-2)\/(-6)). Solve -2*h = q - r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -3*p - 3*s - 15, 0 = 2*p + 2*s + 2. Suppose p*l - 4*l - 13 = 5*n, 0 = -2*l - 2*n + 2. Is (-235)\/((l\/2)\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 3*d**2\/2 + 16*d + 16. Let h be v(-4). Suppose 12 = -3*b, -h*b + 2184 = -2*a + a. Round a to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1989011520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q - 18. Let w(b) = -b**3 + 18*b**2 + b + 2. Let h be w(18). Suppose -3*k = k + h. Let z be i(k). Solve 0 = -13*l + z*l + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1559698 is divided by 4105?\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*c - 5*c**2 - 11*c**2 + 24*c**2 - c**3 - 10*c**2 in the form d*c**3 + u*c**2 + l*c + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Suppose -r + n + 1 = -l, -r = n - 4. Suppose r*a - 5*d - 54 = -d, -30 = -3*a + 3*d. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 14. Let y(j) = -2*j + 27. Let s(n) = -7*i(n) - 3*y(n). Give s(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -400900 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18642, -18614, -18532, -18366, -18086, -17662?\nAnswer: -17064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -61*s - 117 - 3 - 58. Let n(v) = -92*v - 267. Let j(w) = -8*a(w) + 5*n(w). Differentiate j(x) wrt x.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 106 + 134. Suppose b + 12 = 5*b, -2*q + 7 = 3*b. Put -5, y, q in descending order.\nAnswer: q, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5397*j + 123*j**4 - 14*j**3 - 5*j**3 - 15*j**3 - 5617*j + 10500*j wrt j?\nAnswer: 1476*j**2 - 204*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 91 - 100 = -263. Let n(w) = w**2 + 2*w + 5. Let m(f) = -2*f**2 - 4*f - 9. Give b*m(u) - 5*n(u).\nAnswer: u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -811 - -779. Let w be 1 + 1 + 0 + m\/28. Suppose -6\/7*u**4 + 27\/7*u**5 - 27\/7*u**3 + 0*u + 0 + w*u**2 = 0. What is u?\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130725493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 675195 * 173.\nAnswer: 116808735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - (18 + 24 + -19)) + -13?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:25 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 45*f = -90. Let k be (-6)\/((2\/(-1))\/(f\/10)). Solve 2*i - 1 = -k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546 (base 14) to base 8.\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/(-30))\/23*(-6)\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(-3 - (-60)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/6 + 153*d + 1. Let q(u) = 12*u + 2*u + u**2 + u**2 - 2*u. Give t(q(l)).\nAnswer: -8*l**4 - 96*l**3 - 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 15 = -17*q - 6, 0 = -2*a - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 927892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62*45*3\/(-270)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 2*o**2 - o + 3552. Let g be j(0). Suppose 16*c = 24*c - g. List the prime factors of c.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 34*z**3 - 2*z**2 - z + 1. What are the prime factors of v(2)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 20922?\nAnswer: 41844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*y = -4*y + 5, 5*y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 4. Give c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261410 not equal to 261420?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 806 - 384. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 7*j**2 - 5 + (43*j + 17*j - 24*j)*(4*j - 7*j - 3*j + j + 1 - 1 + (-1 + 3 - 1)*(3*j + 2*j - 6*j) + 2*j + 0*j + 0*j) to y*j**2 + r + m*j and give y.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163930 and 520?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let s(v) = -v + 6. Let q be s(-9). Suppose 0 = -16*y + y + q. Solve -2*l = -m - 2*m - y, -g*m + 2*l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 28 = 4*a, 1 = -5*y + 2*a + 25. Suppose -4*n + y*n = n. Solve n = 2*w - 1 - 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3556\/1871 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 2197*d**5\/4 - 2535*d**4\/2 + 1170*d**3 - 540*d**2 + 44*d. Let i(b) = 0. What is b?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228475056 a multiple of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -142.4 + 12.4. Let l = f + 143. What is the closest to l in 0, 2\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*w + 69. Suppose 0*y - w = -5*y. Let n(v) = 7*v - 1 + y + 0*v**2 - v**2. Determine n(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 17\/(-3) - 42\/63. Suppose 2*f + 116 = -n*b, 5*f + 285 = -0*f - 5*b. Let t = -502\/9 - f. What is the smallest value in 0.2, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Let z(a) = 224*a**2 - 109*a**y - 82*a**2. Let o(x) = 3*x**2. Determine o(z(u)).\nAnswer: 3267*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -278792747, -278792746, -278792745, -278792744, -278792743?\n\"Answer: g - 278792748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5*w - 139*f**3*w - 441*f**2*w wrt f.\nAnswer: -60*f**2*w - 834*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59342\/3 + -59344\/3. Let m = -2 - -2.4. Which is the second smallest value? (a) x (b) m (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -10) + 63 + (1 - (0 - 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-48))\/((-387425)\/450). Which is bigger: t or -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2634841 to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -78. Let g be (-12)\/15*255\/(-6). Suppose -g - 12 = -2*t. What is the remainder when t is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 + 22*z + 12. Let j be t(4). Suppose d + 3*w = -15, -d = -5*d - 3*w - 24. Sort -0.4, j, d, 1.\nAnswer: d, -0.4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160803.\nAnswer: 3, 17, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 7 - 11. Let u(s) = -280 + 2*s**w - 281 + 561. Let x(p) = -p**2. Determine x(u(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5370 divided by 206.\nAnswer: -2685\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4945136 and 353224.\nAnswer: 4945136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2141 (base 7) to base 14\nAnswer: 3c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 2*t - 2*t - 2 + 6*t**2 - 10*t**2 - 3*t**3. Let r be m(-2). Suppose h = 4*h + 3. Put 5, r, h in ascending order.\nAnswer: h, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-60)*((-8)\/30)\/((-164)\/(-410)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 5*z - z)*(-2*z - 2 - 7*z + 5*z) + (-z**2 + z**2 - 2*z**2)*(-1 + 1 - 1).\nAnswer: 14*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (12 - -112)\/(2 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1673784)\/(-68040) - (27 - 2 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*7\/(-147)*5*1?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 8 + 5 - 13.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*(-2 + -10). Suppose -4*v + 4 = -r. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1598*w**5\/5 + 577*w**2\/2 + 2*w - 263. What is the second derivative of n(h) wrt h?\nAnswer: 19176*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205153.\nAnswer: 13, 43, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021868 (base 11) in base 12?\nAnswer: 72b640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2892 + 2919. Let o be (-7 + 4)*2\/(-3). Solve -2 = 5*s + o*c + 3, 4*s - 3*c + k = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1081?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/4*3 + 3. List the prime factors of -164 + 160 - (-311 + q)\/1.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-72)\/1116 - 508\/(-186). Find p, given that 4\/3*p**4 + 2*p**3 - 2\/3*p**5 + 0 - v*p - 8\/3*p**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*n - 6, -5*q = -2*n - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 133. Which is the smallest value? (a) -0.3 (b) 76 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388*g**2 + 1190*g**2 - 3 - 1430*g**2 + 3 - 823*g**2.\nAnswer: -1451*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(9\/4))**(2\/11) assuming m is positive.\nAnswer: m**(3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545235, -1090491, -1635747, -2181003?\nAnswer: -2726259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 143123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 588.526 + -588. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 21 = -13*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 7*q**2 + q + 9. Let p be h(-7). Suppose -u + z - 4*z = -7, -19 = p*u - 5*z. Let t = -3 - u. Which is the biggest value? (a) 3 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -18. Let i = x + -14. Let s = 1 - 1. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*s - 559*s + 24*s**2 + 11*s**3 + 277*s.\nAnswer: 11*s**3 + 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1425713 times -29?\nAnswer: 41345677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 2219*l**3 + 2221*l**3 - 5*l**2 + l**2 + 14 - 128.\nAnswer: 2*l**3 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/15 (b) 266 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*4*sqrt(228)*-1)\/(((sqrt(72)*-1)\/sqrt(3))\/(sqrt(98)*2)))**2.\nAnswer: 5958400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 27405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1 = -3*n, -17 = 5*n - 2. Suppose -z*u = u - 15. Sort -5, -4, u in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmx when three letters picked without replacement from xxxxxmmx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1002.65 + -1001.65. Let s = 0.04 - 4.04. Which is the nearest to i? (a) s (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*a - 2*a - 8*a + 2*a**3 + (14*a**2 - 9*a**2 + 25*a**2)*(-2*a + 0*a + a).\nAnswer: -28*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 l when four letters picked without replacement from {i: 1, v: 3, e: 2, b: 3, s: 1, l: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {q: 5, l: 15}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*l + 9, u = -0*l - 2*l + 9. Let o(m) = 4*m**2 - 5*m - 2. Let g be o(l). Let x = g - -28. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + (-1 - (-2)\/2). What is the highest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3))**(-2\/27)*(b*b\/(b**(2\/3)*b))\/b**(-1\/4) assuming b is positive.\nAnswer: b**(181\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**4\/4 - 7*i**3\/3 + 2*i**2 + 8*i + 7. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/7)\/((-26)\/78) + -6\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j + 13. What is the remainder when (3\/(-4))\/(2\/(-136)) is divided by v(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**4\/12 + 5*r**3\/6 - 5*r**2\/2 - 5*r. Suppose -25*v + 391 = 316. Determine y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s**3 + s**2 + 3*s + 1. Let l(w) = 14*w**3 - 2*w**2 - 4*w - 1. What is 2*l(z) + 3*x(z)?\nAnswer: -11*z**3 - z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 459 - 876. Let g = l - -417.00131. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5860 at least -5859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64\/129 + -3460\/387. What is the common denominator of o and -25\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273\/(-234)*9\/(-42).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 916 = -0*f + 2*f. Suppose -c = 2*h - 562, 0 = -3*h - 3*c - 59 + 908. Let y = f - h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52177816.\nAnswer: 2, 6522227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2222*j - 1787*j = -870 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 25*p**2 + 55*p + 31. Let h = 231 + -258. Let q be j(h). Solve 2*d = u + 3*u, q*d = 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 + 20*i + 18. Let c be w(-9). Suppose 4*j - 4*b + 20 = c, -25 + 0 = 3*j - 5*b. Sort 5, j, -7 in decreasing order.\nAnswer: 5, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*b - 2*y - 33, 2*b + 3*y = -31. Let v(l) be the third derivative of -7*l**4\/12 + 43*l**3\/6 - 7*l**2. What is the units digit of v(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (4 - -407) + -2. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 12. Suppose -h - 3*f + 141 + 163 = 0, -h + 4*f + 283 = z. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 12, o: 3, w: 2}. Give prob of picking 1 u and 1 o.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -344 divided by 43.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3208 is divided by 1065.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/9? (a) -14 (b) 0.088 (c) 3\/2 (d) 2\/23 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saasssasassasssssaa. Give prob of sequence asas.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o - d, 2*o + 5*d + 6 - 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4 - (-26)\/4). Let m be (-168)\/(-40) - (4 - 1). Suppose -2\/5*a**4 + m*a**3 + 0*a + 0 - g*a**2 = 0. Calculate a.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 892289 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*r**3*v**3 - 35*r**2*v**3 - 2*r**2*v**2 wrt r?\nAnswer: -444*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Let w be k(2). Solve -336*s**3 + 35 - 45*s - 141*s**w - 3*s - 312*s**2 + 44 - 31 - 21*s**5 = 0 for s.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*p + 493*p - 743 = -14351. What is the third smallest value in -0.4, p, -5, 0.3, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 149, 4, 1\/3, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011000 + 1101?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + 4*i)*(-107*i**2 - 2*i + 206*i**2 - 97*i**2 - 9*i**3).\nAnswer: -45*i**4 + 10*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -28. Suppose 5*b = 10, -5*n = -i*b + b - 61. What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 6740. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) -2\/3 (d) -2 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3396 + 3407. Solve -3*m + 71*j + z = 70*j, 4*j = 3*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192424.74 months to years.\nAnswer: 16035.395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 3801.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -1\/8*j**4 + 0*j - 2\/3*j**3 + 0 - j**2. Is 4 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-3))\/((-6)\/(-9)). Suppose -m*v - 5 = -11*v. Suppose v*j - 46 = -6. Solve 0 = -3*b + j + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2. Let b(a) = 2*a - 3. Let p be b(2). Let v(u) = -p - 3*u + 1. Calculate x(v(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-130)\/(-234))\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*((-2*sqrt(1100) - sqrt(1100))*-1*-1)**2*-6*-1.\nAnswer: 950400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 9:18 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585798205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/(-2)*(-3 - -20))\/(7161\/21483).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 72*p - 199. What is f(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 16*a**2 - 79*a + 841. Let c(d) = 5*d**2 - 23*d + 280. Determine 2*b(y) - 7*c(y).\nAnswer: -3*y**2 + 3*y - 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1104 times 19.5\nAnswer: -21528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, -18, -2, -5, -4 in decreasing order.\nAnswer: -2, -4, -5, -18, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 80*k - 6. What are the prime factors of u(3)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 120, 425, 954, 1719, 2732, 4005?\n\"Answer: 2*z**3 + 100*z**2 - 9*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 0 + 0 + (-19*h - 14*h - 7*h)*(-3 + 5 + 3*h**3 - 2*h**3) in the form o*h**3 + k*h**4 + c*h + i*h**2 + y and give c.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from whhwvwhh?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063 = 169*r - 507 + 218 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Let c(s) = 39*s**3 - 5*s + 3. What is -c(r) + 6*p(r)?\nAnswer: -39*r**3 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 495 + -493. Let j be (12\/54)\/((-8)\/(-30)). Let v be (-6)\/9 + (-2)\/(-4). What is the second biggest value in b, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h + 6*h - 2*h. Let j(r) = 6*r + 7. Let a(k) = j(k) - 4*l(k). Calculate a(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.418001ug in milligrams?\nAnswer: 0.002418001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, z: 1, m: 1, o: 2, s: 1}. Give prob of sequence oot.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 2*f**3 - 31 + 14 + 17.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*q, 5*u + 19 - 11 = -3*q. Solve -2*k - q*h - 10 = 0, -19*k = -16*k + 4*h + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3120 and 5636832?\nAnswer: 366394080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -13*a**2 + 11*a + 1. Let h(f) = -15*f**2 + 12*f + 1. Calculate 5*h(u) - 6*z(u).\nAnswer: 3*u**2 - 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnsnnsnsnnnnsn. Give prob of sequence nns.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -13.0218.\nAnswer: -2.995014","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: 171 divided by -26\nAnswer: -171\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**3 - 6*n**2 + 2*n - 1. Let y(k) = k**2. Let w(a) = -a**2 + 3*a + 6. Let h be w(5). Let d(z) = h*y(z) - m(z). What are the prime factors of d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 7*z - 12*z = -10, 5*q = 4*z - 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 506417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-9)*(5 - (-78)\/(-12)). List the prime factors of 6\/n*116*(-1)\/(-8).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, k: 2, s: 1, c: 3, m: 10}. What is prob of sequence mc?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**5\/60 + 2*f**3\/3 + 8*f**2\/3 - 27*f. Factor v(p).\nAnswer: -(p - 4)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.4, -0.22 in decreasing order.\nAnswer: 0.4, -0.22, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11112202022002 (base 3) to base 6\nAnswer: -123441432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 3*i - 21*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvfo when four letters picked without replacement from {v: 1, f: 2, o: 1, p: 1, z: 1, i: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0537386618 and -2644.\nAnswer: -2643.9462613382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*z. Suppose -4*j - 5*k + 144 = -364, z*k = -j + 130. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 265 - 29. Let q = v - 119\/2. What is the third biggest value in 4\/3, -5, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342072.2ng in grams?\nAnswer: 0.0003420722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4\/7 - 30*m**3\/7 + 60*m**2\/7 - 10*m\/7 - 24\/7 = 0.\nAnswer: -1\/2, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.072 - 0.428. Let k = -4.2 + 6.1. Let z = k - 2. Which is the nearest to 0.3? (a) -3 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61499379.\nAnswer: 3, 281, 72953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/24 - 4*i**3\/3 + 3*i**2. Let v(j) = -j**3 + j**2 + j + 5. Let g be v(0). Let l be r(g). Which is smaller: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9*n = -4, 5*d + n = 49. What is the units digit of (-54)\/(-10) + d\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c - 518. Let q be f(-26). Factor 1 - 5\/4*m + 1\/4*m**q.\nAnswer: (m - 4)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -2*b - 1\/2*b**2 + 1\/6*b**3 + 0. Let i(h) be the first derivative of h**3\/3 + h**2\/2 - h - 3. Give -i(j) + s(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 13. Let l be r(4). Let h(m) = 39*m - 2. Let c be h(l). Suppose -4 = y - c. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 19, -1 in descending order.\nAnswer: 19, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac (base 14) in base 9?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(13 + -6) - -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-102) - 0)\/(-29 + 13825\/474)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/15 + 2*b**5\/3 + 38*b**2. What is the third derivative of r(d) wrt d?\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**3 + 44*d**2 + 152*d + 1442. Determine x(-8).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -36. Let f be (0 - 2)*(-20)\/u. Factor -f*h**2 + 3 + 5 - 8 + 5.\nAnswer: -5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-32)\/(-6))\/((-24)\/(-72)). Let p be (-10)\/(-8)*b\/50. Factor -p*d**2 - 2\/5 - 4\/5*d.\nAnswer: -2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6393 = -14*t + 19581. List the prime factors of t.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*v, 2*c - 2*v = -0*c - 2. Suppose 0*l - 7 = -2*l - d, 13 = 3*l + c*d. Which is greater: -2\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 385 - 385.5. Suppose -4 + 0 = i. Let w be 9\/6*i\/(-57). What is the biggest value in w, r, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 11*y + 11. Let w(o) = o + 7. Let q be w(-16). Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {q: 1, e: 1, v: 1, b: 1, k: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1729, -6885, -15495, -27571, -43125?\n\"Answer: -2*r**3 - 1715*r**2 + 3*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 359021296 a multiple of 850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15607050*x = -15607302*x + 30492 for x.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 14*v**2 + 120*v + 42. Calculate r(20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 17 = -1, -2*j = -11*i - 61016. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 49*t**2. Let d(b) = -2 - 128*b**2 + 122*b**2 + 4 - 2. Calculate s(d(r)).\nAnswer: 1764*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -2\/45 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2 - 16835350*b + 70857252405625 = 0.\nAnswer: 8417675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 divided by 2?\nAnswer: 407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 129 + 89. Suppose 3*p - p = v. Let u = p + -46. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 61*v**2 + 174*v - 428. What is l(58)?\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 6. Let w be 36\/(-16) + (-3)\/4. Let j be i(w). Solve -2*s + j - 2 = -4*u, 4 = -s - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1)*552\/414*15\/(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*n = -25, 9 + 0 = -3*z - n. Let g be -2 - (-162 + z\/2). Suppose h - 4*o - 48 = 0, -o - g = -3*h - h. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*2\/(-4)*-1. Let k be 7 + -2 - (f + 3). What is the third derivative of -3*b**3 - b**2 + k*b**3 - 4*b**3 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -169 and 4?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*x - 84, 0 = -0*i + i. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - g - 8, 0 = 3*o - o - 5*g - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 2\/27, 31.8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 3 + 8 - 2*f)*(58 - 11*f**2 - 58) to x*f**3 + c*f + w*f**2 + m and give w.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + 0.01. Let y = -1.7 + 1.3. What is the nearest to 1\/4 in y, -2\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 143.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -347.2 + 358. Let u = -11.1 + x. Which is the second biggest value? (a) 0.18 (b) -0.4 (c) 2\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, -28.23, -2\/15 in ascending order.\nAnswer: -28.23, -2\/15, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-100)\/15)\/10)\/(24\/18)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*i - 28 - 44, -f + 4*i = -24. 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: Let x(m) = 91*m**4 + 3*m**3 - 3*m**2 - m + 3. Let y(w) = 92*w**4 + 4*w**3 - 3*w**2 - w + 4. Let v(f) = 4*x(f) - 3*y(f). Find the third derivative of v(s) wrt s.\nAnswer: 2112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/24 + j**4\/12 - j**3 + 3*j**2. Let q(c) be the first derivative of v(c). What is the derivative of q(x) wrt x?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let v(k) = -k**3 + k**2 + k - 5. Let d be v(0). Let g = 8 + d. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16827.1 * -0.4.\nAnswer: -6730.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3.85 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -277.7 (b) -1\/4 (c) 2\/5 (d) 0.5 (e) -6 (f) 0.2 (g) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:43 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eseeeeseessse. Give prob of sequence ee.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2990, -2, 167 in descending order.\nAnswer: 167, 3, -2, -2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 3579528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 125. Let o(k) = -42*k + 131. Does 29 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2324?\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0431? (a) 8 (b) -1\/10 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92 (base 10) to base 12.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {i: 3, f: 6, j: 2, r: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -1070, 297?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465*g**2 + 208*g**2 + 238*g**2 - 3*g**3 + 4*g**3.\nAnswer: g**3 - 19*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*(sqrt(2299) + (-1 + sqrt(2299) + sqrt(2299))*-4 - sqrt(2299)))**2 + 0.\nAnswer: -6336*sqrt(19) + 1324373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7519 at most as big as 37601\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 675 divided by -3\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from {e: 2, t: 1, y: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30, 1, 80, 231, 478, 845?\n\"Answer: 4*a**3 + 3*a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2*k - 7 + 17, 3*a - 7 = k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 439 - 445 + 2*h - 4*h as v*h + p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/10, 5, -2\/7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 207*m**3*o**2 - 1099*m**3 + 4*m**2 - 8*m*o**2 - o wrt o?\nAnswer: 414*m**3 - 16*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.6, 50\/3, -0.5, 3\/2, 4, -12 in descending order.\nAnswer: 50\/3, 4.6, 4, 3\/2, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 366, 369, 374, 381, 390, 401?\n\"Answer: t**2 + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131766015.\nAnswer: 3, 5, 8784401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 1067*q**2\/3 + 4262*q\/3 + 1420.\nAnswer: (q + 2)**2*(q + 2130)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*o - 144 = 0, 2*s = -2*o - 23 + 119. Factor s*g + 8*g**3 - 20*g**3 - 8 + 72 + 8*g**3.\nAnswer: -4*(g - 4)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4409*-3.\nAnswer: 13227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, 0.2, -7, -305, -4\/7.\nAnswer: -305, -7, -4\/7, 0.2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/2 (b) -5 (c) -0.6 (d) -2\/11 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 44*c. Let y(t) be the third derivative of t**5\/60 - 6*t**2. Calculate r(y(w)).\nAnswer: 44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwpowpowjppg. Give prob of picking 1 j, 1 g, and 1 w.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1. Let h(l) = -2*l + 14. Let f(t) = -h(t) - 8*x(t). Let g be f(4). Let s be g\/(2\/(-8)*(-8)\/11). What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23315 and 5489?\nAnswer: 127976035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 6) to base 3.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19701 = -26*w + 44545. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51340 is divided by 389.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 1457?\nAnswer: -582.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -948.1 - -949.07. Which is the nearest to 0.1? (a) -2\/5 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.5 - 161.5. Let v = n + 129.9999988. Round v to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4096369440?\nAnswer: 2, 3, 5, 2844701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Suppose u + 7 = -16. Let j = u + 25. Calculate the least common multiple of o and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-r + r + r) + 246*r - 47 - 59 + 105.\nAnswer: 245*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292*x + 2 - 1 + 12*x + 2 to the form d*x + w and give d.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.1 + 4.3. What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*y**4 + 2*y**3 - 2 - 2*y**2 + 0*y**4 - 2*y**4 in the form l*y**4 + u*y**2 + g*y + a + x*y**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (253\/(-46))\/((-165)\/240)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m - 9 = 22*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 25*v - 12. What is z(13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f + 820000 = 0. Round f to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/23 (b) 0.04 (c) -0.02 (d) 0.3 (e) 3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1581837.\nAnswer: 3, 31, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 8900?\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.662, -12.515?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 i, and 1 z when three letters picked without replacement from {g: 6, l: 1, i: 2, z: 7, t: 1}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31220, -31154, -31068, -30962?\nAnswer: -30836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*n + 3*i + 26, 5*i + 20 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(12\/(-10))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10415404, 20830813, 31246222, 41661631, 52077040, 62492449?\n\"Answer: 10415409*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 3:39 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/14)\/((-20)\/70). Suppose l*w = -w. Solve -5*u = 5*i + 10, -4*i + 2*u + 4 = -w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1402 divide 10079241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*f + 16 + 1 = 0, 9 = -2*w - 3*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 466*r**3 - 2*r**2 - 13*r + 16. Let m(w) = -465*w**3 + 3*w**2 + 14*w - 18. Let t(q) = 5*m(q) + 6*y(q). Does 60 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -398561632*b**2*f + 103367934*b*f - 2*b wrt b.\nAnswer: -797123264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95833*m**4 + 2*m**3 - 105448*m**2?\nAnswer: 2299992*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let n = -116.99 + 109.99. Which is the closest to -1? (a) 3 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -21 + 14 + 7 - 2*b. Let h(g) = -4*g. Determine h(t(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441225 at most 1441227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 13288900 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46 + -738950?\nAnswer: -738904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*j + 28*j - 8216. What is the remainder when 1131 is divided by j?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1501\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(40\/10) + 25\/2. Suppose 3*n - 5*z + 25 = 0, -4*z + 40 = -4*n + o. Which is the third biggest value? (a) n (b) 2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4647000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 3*x = 5*d + 33179, 83010 = 5*d + 5*x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-178)\/(-267) + (-175)\/(-3). Let z = 66 + -123. Let c = n + z. Solve v + 2 = c*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/5 + 133*o**4\/5 + 78*o**3.\nAnswer: o**3*(o + 3)*(o + 130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16892 and 69\/2702720.\nAnswer: 2702720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 40*p**2 - 390*p - 3. Let s be h(16). Is 3996 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8242573 - 25?\nAnswer: -8242608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492956.7l to millilitres.\nAnswer: 492956700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46545 + 25?\nAnswer: 46572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -0.3. Let o = 0.6 + l. Which is the nearest to 0? (a) 0.5 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -48 - (2 + 3 + -2). Let d = h - -249. Suppose 4*q = f - 74, -3*f + q + 3*q = -d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 9. Let x(i) = i. Let n(m) = f(m) - 2*x(m). Let l be n(10). Let s be ((-429)\/(-12))\/(-13)*-24. Calculate the greatest common divisor of s and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.4, -0.5 in descending order.\nAnswer: 9, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5452963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 182, 199, 232, 287, 370?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -861 - 1281 + 6*o**2 + 2142.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*u**5 + 6024*r**2*u**2 + r**2*u + 2*r*u + 69*r - 15 wrt u?\nAnswer: -20*r**2*u**3 + 12048*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 352852 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9888 + 9964. Calculate the greatest common divisor of 2014 and l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 481, 1077, 1911, 2983, 4293, 5841?\nAnswer: 7627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2174)\/(-6522)*38*(-3)\/(-5)?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*t**2 - 266*t - 512*t - 11*t**2.\nAnswer: -t**2 - 778*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27660*n**4 - 3*n - 6444335.\nAnswer: 110640*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + w - 14 + 45 - 17.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 - -42. Let j = n + 30.00083. Round j to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from jkkcj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 64. Suppose -4*n - 2*y + 314 = 0, 0 = m*n - 10*y + 5*y - 151. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, q: 4}. Give prob of picking 4 f.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 258*z**2 + 4*z - 91.\nAnswer: 258*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + g - 11 = 11, 3*b - 16 = -2*g. What is the derivative of 3*l - 3 - 4*l + b*l + 0 wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*s - 313*s - 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.6 or 15284210?\nAnswer: 15284210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let j = -107 + 109. Find the third derivative of z**5 - j*z**2 + z**5 + z**n wrt z.\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -873\/40 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1921, -3850, -5779, -7708?\n\"Answer: -1929*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2136)\/(-36))\/((-4)\/(-6)). What is the derivative of -45*g - 142*g + t - 90*g + 122 wrt g?\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 68. Let x = -33 - k. Let o = -17 + 16. Put o, x, -0.5, -0.4 in decreasing order.\nAnswer: x, -0.4, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 524.919004 + -525.919. Let j = 0.32 + 0.68. Let n = l + j. What is n rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 568349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -2929 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-175)\/30))\/(3\/((-31)\/((-248)\/540)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a hour in seconds?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9\/7)*n*n**(-14) assuming n is positive.\nAnswer: n**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-165)\/70 - 3\/(-2). Let q be 176\/99 - (1 - (-22)\/(-18)). Let j be q\/(-5)*((-14)\/(-21) + -1). Which is the biggest value? (a) 2 (b) i (c) j (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7113040 (base 9) to base 6.\nAnswer: -213104400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = 9. Determine z, given that z**2 + z - 3*z + z**r + 0*z**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 41 = -26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/108 and -47\/294.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69339.\nAnswer: 3, 29, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-15)*(-720)\/576*3\/3*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 526405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 0 + 0)*(z + z - 5*z) + 4*z - 4*z - z**3 + 104*z**2 - 104*z**2 + 5*z**3 in the form j*z**3 + q*z**2 + c*z + f and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.462 and -0.2?\nAnswer: -1.4924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/24 - 2\/(-8). Let y = 5.001 - 0.001. Which is the nearest to j? (a) -2\/5 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i + 39*i - 18516 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 - 9*i + 2 + 9*i - 7.\nAnswer: -10*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -8, -0.5, -2, -0.074?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3890, 1467 in increasing order.\nAnswer: -3890, -5, 1467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -4 (b) 1 (c) 2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21215 is divided by 528.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12129.\nAnswer: 3, 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(1190\/20))\/((15\/(-2))\/(140\/(-520)))\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02676218 rounded to 5 decimal places?\nAnswer: 0.02676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 306321200 rounded to the nearest 100000?\nAnswer: 306300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 65756, -1\/5, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*((-11*l**2 - 14*l + 14*l)*(3 - 4 + 4) + (-3*l + l + 3*l)*(-1 - l + 1) - 3 + 3 - l**2).\nAnswer: 70*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 3. Let l(y) = -3*y + 5. Let r(m) = -6*l(m) + 10*t(m). Let h(o) = -18*o**2 + 2 + 22*o**2 - 45*o**2. Calculate h(r(i)).\nAnswer: -164*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.35228 rounded to two dps?\nAnswer: -8.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3 = 5*x. Let w = x + 7. Factor w*p**3 - 4*p**5 - p**5 + 2*p**5 - 3*p.\nAnswer: -3*p*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11959, -235, -22 in descending order.\nAnswer: -22, -235, -11959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v**2 - v + 9. Let z(p) = -13*p**2 - p + 14. Let b(x) = 8*m(x) - 5*z(x). Factor b(h).\nAnswer: (h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7107 and -0.3.\nAnswer: -2132.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22986 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*y - 71 = 46, -2*y = 0. Let w = 39 - u. What is the fourth smallest value in -4\/9, w, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/3 + 4*g**2\/3 + 41*g\/3 + 12 = 0. What is g?\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/108 and (70\/(-3) + -8)\/(-14).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*c + 6, 0*r = -r + 5*c + 17. Solve -r*x + 49 = 39 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1362\/(-30) - 4\/(-10)*1. Let n = u - -45. Solve n = -5*g + 6*g - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4747\/18 - -525\/2. Calculate the common denominator of 73\/3 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 9, r: 4, e: 3}. What is prob of sequence rsr?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/22420 and 5\/184.\nAnswer: 1031320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.210578 litres in millilitres?\nAnswer: 8210.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = z - 3278, 216 = t - z - 1435. What is the remainder when t is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*o*q**2*y + o*q**2 + 5*o*q*y + 124*o*q + 3*o*y + 3*o - 2*q**2 wrt y?\nAnswer: 60*o*q**2 + 5*o*q + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1326*i**2 + 4*i + 13. Let q(n) = 1321*n**2 - 3*n - 11. What is -5*d(w) - 6*q(w)?\nAnswer: -1296*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/7)*u\/u**27*u*u)\/((u*u**(-33))\/u**(-2\/7)) assuming u is positive.\nAnswer: u**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/7 - 678*s**2\/7 + 3*s\/7 + 678\/7.\nAnswer: -3*(s - 1)*(s + 1)*(s + 226)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 270 - 255. Let r(y) = -y**3 - 9*y**2 - 5*y + 7. Let j be r(-8). Let o = k - j. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/7, 1\/5, 5, -1\/1710?\nAnswer: -1\/1710","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (41 + 15 - 10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2851266 divided by 6\nAnswer: 475211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*t**2\/11 - 129132*t\/11 - 694794726\/11 = 0. Calculate t.\nAnswer: -10761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - r**2 + 3*r**2 + (r - 65 + 65)*(-15*r + 794 - 796 - 3*r).\nAnswer: -16*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 9*y + 4. Let m be a(-9). Let b(n) = 2*n - 5*n - 5*n + m*n. Determine b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2*1 - 3\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2140 = 5*g + 3*s - 1724, 0 = 4*g - 5*s - 3106. Calculate the greatest common factor of 86 and g.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - n**2 - 41 - n + n**2 + 42. Let b be h(1). Let z(l) = 911*l - 6. Is z(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -397 - -350. Let f be j - (-30)\/5 - -3. Sort 5, -3, 3, f in decreasing order.\nAnswer: 5, 3, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 115 - 49. Calculate the remainder when s is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 57*a**5\/2 + 2349*a**4\/2 + 17877*a**3\/2 - 131373*a**2\/2 + 76245*a + 19044 = 0.\nAnswer: -23, -4\/19, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 + 46*p - 50. Let f be r(-17). Let h = 37 - f. Solve 3*l = 3*w + 15, -h*w + 4*l = 3*w + 21 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = c + 5*d, 4*c - d = 2*d - 7. Let g be (1 + 0)*2*2. Suppose 4*s + 32 = g*a, a + 0*a = -3*s - 8. Solve -c - 2 = a*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*y + 2*z, -2*y - 2*z - 12 = -2. Let r = y - -7. Suppose 4*t - 6*f + 4*f - 12408 = 0, t - r*f = 3108. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 456021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {n: 7, m: 1, l: 2, h: 3, e: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - x - 11. Let b(m) = -m**2 - 2*m - 12. Let n(k) = -6*b(k) + 7*v(k). Suppose 23 + 11 = 2*p. Suppose -p*h + 96 = -h. Calculate n(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2805, -2803, -2801, -2799?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111020 (base 3) to base 13.\nAnswer: 1a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 513239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 4*n\/3 + 2.\nAnswer: -2*(n - 3)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -177909*a**3*u + 4564*a**3 + 2 wrt u?\nAnswer: -177909*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 346, 680, 1236, 2014, 3014, 4236?\n\"Answer: 111*n**2 + n + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3498191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1121 and 0.8.\nAnswer: 896.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38563480 is divided by 575573?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 5*j - j**4 - 2*j**4)*(-2 + 0 + 1) as i*j**2 + b + p*j**3 + f*j**4 + u*j and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)*(-18)\/27*(-135)\/42?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + -2 + sqrt(500))*-2 - 5*(sqrt(500) + 1)) + 0)**2.\nAnswer: 180*sqrt(5) + 40501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7*h - 3. Suppose -2*v - 2 + 12 = 0. Let a be o(v). Suppose 3*j + 2 - 8 = 0. Solve -j*y - 22 = 4*n, 2*y - n + a = -0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + sqrt(11) + 0 + sqrt(11) + (-4 + 1*sqrt(11) - (sqrt(11) - (-1*sqrt(88))\/sqrt(8))).\nAnswer: -7 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u*u*u**(3\/8)))**(1\/72)*(u\/u**7*u)**(-3) assuming u is positive.\nAnswer: u**(8645\/576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 4693*j**2 + 3720211*j + 4488963177.\nAnswer: (j - 2663)**2*(j + 633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*c*g**3 + 57268969*c*g**2 - 3834*g**4 + 2*g**3 wrt g.\nAnswer: -312*c - 92016*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1480*c**2 - 4175092*c - 33852.\nAnswer: -4*(c + 2821)*(370*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15884.21mm to meters.\nAnswer: 15.88421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1032658329?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1096\/8*(-1 + 3). Let n(p) = w - 140 + 3*p - 134. Let f(b) be the second derivative of b**4\/12 - b. What is n(f(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 3331.\nAnswer: 26648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3, -5, 3\/7, 100.4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-20)*(1155\/9 - 1). Let h = w - -153. Which is the biggest value? (a) 5 (b) h (c) 0.07 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/432)\/(18\/81)*100\/((-4)\/(-2)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272603?\nAnswer: 272603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 947821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 0.4 (c) 5 (d) -0.3 (e) 31 (f) -83.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let z(p) be the first derivative of q*p**3 - 1\/2*p**4 + p**2 + 2 + 0*p. Find the second derivative of z(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 1, x: 7, l: 2, a: 3}. Give prob of sequence eexa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in -0.6, -20, -0.051?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16046, 32093, 48140, 64187, 80234, 96281?\nAnswer: 112328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 1\/((-3)\/(-6)) + (-782)\/170. Suppose 0 + 4\/5*b + y*b**2 = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acw when three letters picked without replacement from caawcwaccawac?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 52 - (23 + -29 + 17)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -84*r - 32 + 200. Factor -2\/7*v**r + 8\/7*v + 10\/7.\nAnswer: -2*(v - 5)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (-5 + 7 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 68 = 220. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291550612 a multiple of 1241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p + 7. Is s(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 19*b**3 - 20*b**2 - 4*b**2 + 43*b**2 - 13*b**2.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + 0)*(5 + -11). Suppose 4*o - a = -o. Solve 0*w + 4*w = o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 41. Let o(a) = -a. Let y(v) = -6*o(v) + z(v). What is the remainder when y(24) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + -142?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37333221 + 2?\nAnswer: 37333223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 + (-477)\/(-12). Let r = -24 + y. Let v = -4 + r. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, 106, 42, -16.\nAnswer: -16, -5, 23, 42, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 + 338*r**3 + 9552*r**2 + 78848*r + 69632 = 0. Calculate r.\nAnswer: -136, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -66*k + 62*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -30*z**3 - 39*z**3 - 10*z**2 - 15*z + 74*z**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -32*f**2. Let x(c) = -2*c**2 - 3 - 2*c + 3*c**2 - 2*c**2 + 6*c - 7*c. Let b(j) = -2*j - 2. Let k(h) = -3*b(h) + 2*x(h). Determine k(g(o)).\nAnswer: -2048*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (1 - (1 + -1)). Let z = 228678 - 228674. Which is the nearest to 3\/2? (a) -5 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-15)\/260*13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34575 or -34574?\nAnswer: -34575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*z = 23, -36 = 4*w - 5*z + z. Let n = -4 - w. Suppose -n + 0 = -m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {n: 2, t: 1, b: 3, w: 6, j: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + p + p = 0. Suppose p*q - q + 92 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254827 to the power of 1\/2, to the nearest integer?\nAnswer: 1502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u**(2\/13)*u\/(u\/(u\/(u**(-7)\/u*u)))*u**(4\/3)*u*(u**(2\/7)*u**(-1\/3))\/(u**(-1\/4))**21 assuming u is positive.\nAnswer: u**(4619\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-116)\/(-6) - 11\/33. Suppose 3*j - 5 = 2*j. Suppose -5*f + 140 = 5*p, -j*f + 149 = 3*p + b. What is the remainder when f is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = s + 14. Let t(u) = -8*u. Let k(r) = -r. Let n(h) = s*t(h) + 18*k(h). Let q(z) be the second derivative of -2*z**3\/3 + z. Calculate n(q(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 0, 2*x - 2*l - 15 = 3*l. Let b be x\/(-10) - 3\/(-2). Sort b, -2, -3 in descending order.\nAnswer: b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(3\/2)*s)\/((s\/s**(-2\/17))\/s))\/((s**(-1\/6)\/s)\/((s**1\/s*s)\/s)))\/(s**(-7)*s**(-2\/3)*(s*s**(2\/5))**(-1\/57)) assuming s is positive.\nAnswer: s**(16538\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 861 and 14097891?\nAnswer: 98685237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 - 2*t - 6. Let q be b(-5). Solve -q*k + 2*k + 5*u - 2 = 0, -3*k + 3*u + 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 239880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 11. Let z = y - 17.07. Let q = -3.07 - z. Which is the third biggest value? (a) -2\/15 (b) -1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -17*v - 3. Let c be u(-4). Suppose -3*p - 57*q + 60*q = -165, -4*q - 162 = -3*p. Suppose -63*d + c = -p*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 1030?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(17\/(-68)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + (sqrt(135) - sqrt(135)*4))\/sqrt(9) + sqrt(15))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3 - 3*p**3 + 0*p**3 + 5 + p - 13*p**2 in the form a + v*p**3 + x*p + j*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/5, -1.12, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081\/3 - (-58)\/87 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98233 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 7. Let b be s(-4). Suppose -b*h - 2*j + 33 = j, -3*h + 38 = -2*j. Suppose 5*a - h = a. Let g(t) = -t**3 + 3*t**2 - 3*t + 4. Calculate g(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657 = 7*f - 4*f. Let w be -3 + f\/(12\/4). What is the second derivative of 16*i + w*i**5 - 2*i + 66*i**5 - 132*i**5 wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17168.75 rounded to the nearest 10?\nAnswer: 17170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72738, -64789, -51532, -32961, -9070, 20147, 54696?\n\"Answer: j**3 + 2648*j**2 - 2*j - 75385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + -1. Which is smaller: 20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129964248*q*r**4*z**2 + q*r**2*z - 19*q*r**2 + 812*q*z**2 - 119*z**2 wrt r?\nAnswer: -3119141952*q*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 121858949536.\nAnswer: 121858949535.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 - 2*l. Let q(k) = 2*k**3 - 12*k**2 - 5*k. Give -3*q(h) + 8*u(h).\nAnswer: 2*h**3 + 4*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4691766, -9383531, -14075296?\nAnswer: -18767061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 + 1. Let x be i(-1). Let p be 3 - (4 - (-3 + x)). Solve -3*q = p*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4*n**5\/5 + 2*n**4 - 6*n**3 - 22. What is the third derivative of p(x) wrt x?\nAnswer: -96*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/((-1080)\/(-22))*(-8)\/(-2)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(891) - sqrt(891))*3*-1)**2 - (-5 + sqrt(891) + 1 + sqrt(891) - (1 + -1*sqrt(891)))**2.\nAnswer: 270*sqrt(11) + 280640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5)\/((-502)\/(-1255))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -2*f**3\/27 - 269*f**2\/9 - 536*f\/9 - 927. Factor d(l).\nAnswer: -2*(l + 1)*(l + 268)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 + 41*v - 3047 - 3053 + 9148 - 3048 as c + y*v + t*v**2 and give y.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0254, 2\/5, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -5*f + 30985, f - 2*l = -7*l + 6197. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1291 + 232*p**3 - 710*p**3 + 4655 - 112*p**2 + 1450*p + 243*p**3 + 237*p**3 = 0.\nAnswer: -2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g - 4 - 8*g + 2*g wrt g?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzkz when four letters picked without replacement from {z: 13, k: 3}?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 62*l + 3309. Determine f(-28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-9\/7)*o*o\/(o\/(o*o**(1\/5)))*o assuming o is positive.\nAnswer: o**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 4*m + 1. Let z = -6016 - -6011. Let p(f) = -8*f**2 - 7*f - 2. Calculate z*j(k) - 3*p(k).\nAnswer: 4*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 899 = a, -4*a = 8*k - 12*k - 3572. Calculate the greatest common divisor of a and 267.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4534179266 - -1380\nAnswer: 4534180646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or -10728\/485?\nAnswer: -10728\/485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - d**3 - 3)*(-273*d - 2457 + 271*d + 289*d**2 - 291*d**2).\nAnswer: 2*d**5 + 2*d**4 + 2457*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16594838 and 572?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 - 6*l + 1. What is n(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.791211 to 2 dps.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 22487385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2843 (base 10) to base 13\nAnswer: 13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 77*u**3 + 2*u - 4*u.\nAnswer: 77*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Let m be j(0). Suppose v - 4*y + 12 + 1 = 0, 0 = -2*v + m*y - 14. Is v not equal to -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8026731 or 8026734?\nAnswer: 8026734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -137. Let q be (-12)\/2*(-16)\/(-6). Is ((-28)\/q + r)*-8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*j = 2*j + 98, 2*j + 237 = 5*u. Suppose 180 = 7*t - 457. Calculate the remainder when t is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/19)*(v*v\/(v**26\/v))\/v*v*v*(v\/(v**(5\/2)*v))\/v*v*v\/((v\/(v**26*v))\/v) assuming v is positive.\nAnswer: v**(129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 572 - 565. Suppose -9583 = -s*i - 420. What are the prime factors of i?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4638, -4644, -4654, -4668, -4686, -4708?\n\"Answer: -2*z**2 - 4636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52147948 divided by 352351.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 27*t + 15. Let d be p(-13). Suppose -d*w = 2*w - w. Factor 6\/5*u**3 + 2\/5*u**4 + w + 6\/5*u**2 + 2\/5*u.\nAnswer: 2*u*(u + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 + -71.999999335. What is n rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1100010?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -674, -1319, -1890, -2351, -2666, -2799, -2714, -2375?\n\"Answer: 6*x**3 + x**2 - 690*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r - o + 104, 0 = -5*o - 20. Calculate the remainder when r is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-432)\/(-168) - (-9)\/21. Which is the second biggest value? (a) s (b) 142 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 82. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6613538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 478, 1079, 1928, 3031, 4394?\nAnswer: 6023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1664) + sqrt(1664) + sqrt(1664)*-1)*-1)\/(sqrt(4)\/(sqrt(8)\/sqrt(4)*-5)).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) -3 (d) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 767240797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1929.8?\nAnswer: 1932.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -75241*p**3 - 54*p**2 + 11*p + 60. Let o be t(-7). Round o to the nearest one hundred thousand.\nAnswer: 25800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 12957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1+11.72\nAnswer: 12.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-795)\/15*420\/(-4452)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12550 and 5.\nAnswer: 62750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 13 + 293 + -389 + 66?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 20 = -11*i + 9, -22*p = -17*p - 3*i - 0*i - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -795.2 - 4461.7. What is l rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*w - 48 = 19*w. Let q(n) = -17*n**2 + 9*n - w*n + 6*n + 1. What is q(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2172492.55 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -89*h**3 - 9*h**2 - 6*h + 1. Let w(q) = -89*q**3 - 10*q**2 - 7*q + 1. Give 4*w(c) - 5*x(c).\nAnswer: 89*c**3 + 5*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.061340027 - 21.\nAnswer: -20.938659973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/13 (b) -1\/17 (c) -1 (d) 40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 947016211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 10*q + 6. Let m be w(4). Let y be 6\/(m - 32\/(-8)). Find t such that 6\/11*t**2 + 6\/11*t**y - 6\/11 - 6\/11*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 130*p**2 + 67*p + 5279. Give s(129).\nAnswer: -2719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -3. Let y be ((-18)\/4)\/(1\/q). Let u = 155 - 140. Solve -4*z = -y*z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 33.1. Suppose 5*x = 4*x - h - 219, 0 = -3*x + 3*h - 633. Let k = -4517\/21 - x. What is the nearest to 0 in i, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*26075.\nAnswer: -7822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 61*h**2 + 8*h. Determine p(-1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -956*c**2*d**3 + 3*c**2*d - 2161*c**2 wrt d.\nAnswer: -2868*c**2*d**2 + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*t**2 + 2*t**3 - 38*t**2 + 92*t**2 - 37*t**2.\nAnswer: 2*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-17 + (17 - -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 247 + -146. What is the remainder when s is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-252)\/21)\/(-2))\/(2\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14632416 (base 7) in base 3?\nAnswer: 2122021122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0 = 2*c + 28, -y = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:36 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**3 + 172*u**2 - 1564*u - 6348 = 0. Calculate u.\nAnswer: -3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 291927 at most as big as -939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-111)\/(-9) - 4 - 35\/(-21). Suppose -h*m = -6*m - 2*s - 800, 2*m - 5*s = 384. What are the prime factors of m?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y + 235. Let g be z(-21). Solve -8 = -g*d - 2*s, -2*s + 3 + 4 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {y: 4, s: 4, x: 6, f: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16)\/x)\/(x\/(x*x**(-13)))*x**28\/(x*x**(-1\/3)) assuming x is positive.\nAnswer: x**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40983 and -7439748752?\nAnswer: 7439707769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36.8 + -46. Let r = f + 9. Let p be ((-2)\/(-2))\/((-56)\/(-7)). Which is the third smallest value? (a) 0 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100 + -92. Calculate the remainder when 55 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:31 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m - 1. Let w be s(-10). Find the common denominator of ((-525)\/88 - -8) + w*3 and 12\/7.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -0.058, -24, 886 in decreasing order.\nAnswer: 886, 24, -0.058, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from lapllablleap?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 3c36204?\nAnswer: 3c36200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -391*d**7\/21 - 677*d**4\/6 + 1286*d. Find the third derivative of z(a) wrt a.\nAnswer: -46920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 226.0105l?\nAnswer: 226010.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/sqrt(54) - (5 + sqrt(432)).\nAnswer: -32*sqrt(3)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -8, -4, -3 in increasing order.\nAnswer: -8, -4, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -17*c**9\/504 + c**6\/120 - c**5\/2 - 332*c**2. Find the third derivative of a(g) wrt g.\nAnswer: -2040*g**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Let x(p) = 17*p**2 - 9 - 8*p**o - p**3 + 6*p - 4*p**2. Calculate x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(25)\/sqrt(5) + 5 - (0 + sqrt(10)\/sqrt(2) - (-1 + sqrt(720))))**2.\nAnswer: 56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 36*l + 75 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3514)\/54 - 216\/(-2916). Let p(r) = -9*r + 2. Let m be p(4). Let b = m - d. List the prime factors of b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 1\/2 (c) 0.1 (d) 4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -16 + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 16 - 96*n + 16)*(0 + 3 - 4).\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + h + 13, -5*m = h - 89. Suppose 5*z - 13 = m. Suppose -2*t + z = -30. Solve 5*x - 2 = t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1041*j*s**4 - j*s**3 - 3*j*s**2 - s**3 - 5*s**2 + 244*s + 1 wrt s.\nAnswer: 24984*j*s - 6*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b037ba - 0?\nAnswer: b037ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(1\/(-16)*-4). Suppose 2*m + 4*f = 0, 0 = -w*m - 2*f - 0*f - 30. Let s = m + 8. Let g(t) = -t**3 - 2*t**2 - t - 2. Give g(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooro when four letters picked without replacement from {r: 3, o: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 119748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 4. Let k be g(2). Let r = k + 6. Calculate the remainder when r is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*m - 4, -3*v - 175 + 133 = 5*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - d + 0)*(d + 3 - 3 + (-2 + 4 - 3)*(d - 3*d + 0*d) - 1 - 2*d + 1 + 0 + d + 0 - 4*d + 2*d - d - 13*d + 3*d - 10*d + 619 + 9*d - 619).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220121210211 (base 3) to base 10.\nAnswer: 484645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20041, 36753, 53465, 70177?\nAnswer: 86889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -64. Let p = 0.1 - 0.3. What is the nearest to p in 1\/2, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -54*q**2 - 74*q**2 + 28 - 59*q**2 + 241*q**2 - 53*q**2 + 13*q. Calculate p(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 134 = 2*l - 124, -2*d = 99*l - 96*l + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -28, -0.321, 0.5, -5.898, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 25 in descending order.\nAnswer: 25, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -282644 and -251.\nAnswer: 70943644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 611673.501 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -61.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, -3, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5146545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 - 8380*m**2 + 692455*m - 1351350 = 0. What is m?\nAnswer: -1755, 2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*t**2 - 57*t**2 + 494*t**2 - 212*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*o - 496, 54*o - 1472 = 3*d + 58*o. What is the thousands digit of (-85674)\/(-45) + -8 + d\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (-5 - (2 + -6) - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:37 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -6491\nAnswer: 10\/6491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**4\/2 - 9*p**3\/4 - 51*p**2\/4 + 45*p\/2 = 0.\nAnswer: -3, 0, 2, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (14 + -21)) + -11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -104282, -104283, -104284, -104285, -104286?\n\"Answer: -h - 104281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v + 8 - 7 - 1 - 4*v. Let f(u) = -1. Let n(p) = 3 - p + 3*p + 0. Let k(g) = -3*f(g) - n(g). What is k(y(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) 2 (d) -93 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 497*t**2 - 185*t**2 + 10 + 6*t to x*t + d*t**2 + k and give d.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14474203 and 22212.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6343 is divided by 3106.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1423, 6, 3, 8 in increasing order.\nAnswer: -1423, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/30 + s**5\/4 + 95*s**4\/12 + 34*s - 3. Find the third derivative of x(o) wrt o.\nAnswer: -24*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28769.2 * 10\nAnswer: 287692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzzzvhlzlvhvvhvlzz. What is prob of sequence ll?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.60076 microseconds in seconds?\nAnswer: 0.00009160076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 91*f**2 - 55*f - 118. Let r be m(31). Let q be 202*-1*(-2)\/4. Let v = r - q. Let h(y) = 3*y**3 + 2*y**2 - y - 2. Determine h(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 3, -2, -10.\nAnswer: -27, -10, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 484\/88 + (-3)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429\/15794 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 3*x + 219. Let a be b(0). Let u = 220 - a. Solve -2*p = u + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -996 - -996.803. What is x rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2680 divided by -10\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2017 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 16*c**2 - 4*c + 20. Let n(p) = p**2 + 1. Let k(z) = -6*n(z) + v(z). Is k(-10) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -9*s + 2178, 2*z - 1078*s = -1080*s + 1452. What is the highest common divisor of 12 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 + 29*s**2 - 15*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 940, 935, 928, 919?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 515 + -507. Let r(o) be the third derivative of o**6\/120 - 3*o**5\/20 + o**4\/3 + 3*o**3\/2 - 2*o**2. Let d be r(u). Sort d, 4, 3 in decreasing order.\nAnswer: d, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b088 (base 16) in base 6?\nAnswer: -2212344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141*x - 116 - 70*x - 73*x - 274 + (1 - 3 + 1)*(-3*x + 0*x - 2*x) to the form t*x + s and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 12. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 15 + 23)*(967 + 71*p**4 - 967 + (0*p + 3*p + p)*(-4*p**3 + 2*p**3 + 3*p**3)) to the form f*p**4 + o + i*p + c*p**2 + v*p**3 and give f.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 - 27 - 3081*s + 64.\nAnswer: -3081*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - r)*(r**2 - r**2 + r**2) + 1 + 2*r**2 + 3374628*r + 13*r**3 - 3374628*r.\nAnswer: 16*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2364*o**4 + 46*o**2 + 35*o + 305883.\nAnswer: -28368*o**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 - 460*o**4 - 10775*o**3 - 83940*o**2 - 208620*o = 0.\nAnswer: -61, -19, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) -0.3 (c) -1\/61 (d) -121.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 264319\/87 >= 3037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 3*t + 2. Let d be j(-3). Let n = 0 + d. Suppose n*h = 19 - 3. What is the greatest common factor of h and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 316*r - 1968.\nAnswer: 2*(r - 6)*(r + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1e2c40 (base 15) to base 7\nAnswer: 15362655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ank when three letters picked without replacement from {k: 2, x: 1, n: 1, c: 1, a: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -118 + 23. Let l = -17 + w. What is the nearest to -0.2 in -1\/3, 4\/5, l?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 3*t**2 - 4*t - 10. Let c be b(-4). Let d(h) = -h**2 + 23*h - 23. Let p be d(c). Which is greater: p or 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.177471 years?\nAnswer: 2.129652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3) + (7 - 5) + 1. Let l(v) = 3*v - 6. Let y be l(j). Solve 0 = -y*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + x = 8, 3*x - 16 = -2*d - 2*x. Suppose 15*v - 3128 = -4*b + 13*v, -d*b + 2348 = 2*v. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1700.9 - -1701. What is the nearest to 1\/2 in -54, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9711*g + 5949.\nAnswer: 9711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3478 is divided by 3138.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + 29. Let f be ((-16)\/6 - -2)*-63. Suppose 3*g = -3*z + f, 13 - 4 = -3*z. What is the remainder when j is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*i - 116, 73 = -3*v - 4*i - 14. Is -27 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36094 is divided by 6015.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 10:39 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*s - 3*h = 1, 3*h - 11 = -4*s. Let d be (163\/s)\/(4\/(-88)). Let i = -1133 - d. What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 253720*l**2*x**3 - l**2 + 6*l*x**3 - 84098*l*x**2 wrt l.\nAnswer: 507440*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 14*u**2 - 2*u + 6. Calculate m(13).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84245.\nAnswer: 5, 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 103. Calculate the remainder when ((-27)\/(-2))\/((-1)\/(-4)) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v. Let t(z) = -39 + 5*z - 3*z + 39. Calculate t(h(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18355276 divided by 9177638.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 14*u + 2*u - 8 + 8*u + 8 + (u + 3*u - 2*u)*(-6 + 3 + 4) + 4*u - 3*u - 2*u + 0 + 2*u + 0)*(24 + 11 + 10).\nAnswer: 135*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 52*i**2 + 0 + 0 - 36*i**2. Let k(s) = 2*s**2. Give m(k(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 1:59 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxsxxdxxsxknwxxxxs. What is prob of sequence nw?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 84. Let c = u - 18. Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 21*o**4 + 18*o**3 + 84*o**2 - 120*o.\nAnswer: 3*o*(o - 5)*(o - 2)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -238\/3. Suppose -58*w = -56*w - 8. Calculate the common denominator of c and w - (-2 + (-2)\/(-48)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6181 and 3?\nAnswer: 7.6181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 1789 = 1285 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/((-432)\/(-14)))\/(13\/312).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3256, -6610, -10070, -13642, -17332, -21146, -25090, -29170?\n\"Answer: -d**3 - 47*d**2 - 3206*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 2\/21, -5232?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (0 - (-4 + 5)). Let b(t) be the first derivative of 1\/4*t**4 + 3*t - 1 + 3\/2*t**2 - 5\/3*t**w. What is b(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2)**(8\/3)*(n\/n**1)**44)**(-12))**44 assuming n is positive.\nAnswer: n**(-2816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -32*w - 56. Suppose -w*r - 8*r = -88. Let n(k) = -5*k + 4. Let y(b) = -11*b + 9. Give r*y(h) - 9*n(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -10322?\nAnswer: 10330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2303 + 11204213?\nAnswer: 11210520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 15*n**2 + n + 1. Let g be f(-1). Suppose -12*j + g*j - 144 = 0. Suppose i + 19 = j. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (35\/8 + -2). Let k = -11063 + 11064. Which is the second smallest value? (a) k (b) 9 (c) u (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*r = -z - 40*r + 7, -3*r = -z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -30\/7 (b) 1 (c) 3019531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.037 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + s**2 + 2*s + (2 - 1 + 0)*(2632*s - 2632*s - 203*s**2).\nAnswer: -202*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -14. Suppose 8*i = a*i + 10. Suppose 2*y = -2*f + 10, f - 5 = -y - 3*f. Solve 2*m - y*g + 5 = 0, 4 = -2*m - g + i*g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24994482?\nAnswer: 2, 3, 53, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10584364?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 2. Give q(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*r = -6*b + 30, 5*r - 36 = -b. Let v = -10 + b. Let f be (-25)\/(-15) + v\/3. Solve -6 = -g - f*g - c, 3*g + 3*c = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 51 = -2*v, -46*v + 3*z = -26*v - 23*v - 54 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 31\/9, -0.06, 4, -3, 20\/7 in increasing order.\nAnswer: -3, -3\/8, -0.06, 20\/7, 31\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*g**2 + 98*g**2 - 195*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187464?\nAnswer: 2, 3, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -5*z**6\/6 - 2*z**5 - 5*z**4\/12 + 5*z**3\/3 + 24*z. Factor f(d).\nAnswer: -5*d*(d + 1)**2*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 2*q - 5*q + 4*q**2)*(-3 - 2 + 4 + (2 + 3 - 4)*(4 - 3 - 3)) to the form l + x*q + f*q**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 16*g + 152. Let j be n(8). Calculate the highest common factor of 168 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + 4*q**2 + 3*q + 4. Calculate j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318.5 - -318. Suppose -m - 18 = 4*y, -2*y - m - 3 = 7. What is the nearest to 1\/3 in y, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32298370 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -5*f - 30*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10148861483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10010122221 (base 3) in base 14?\nAnswer: -186c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-3) - 0) + 1. Suppose -4*r + 51 + 5 = h. Calculate the remainder when 41 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + 3.7. Let r = -107.6 - -99. Let z = r + 0.6. What is the second biggest value in p, 1\/5, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjvgvvgvjvjgvjvv. Give prob of sequence gg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -2 in descending order.\nAnswer: 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8607547555 to the power of 1\/2, to the nearest integer?\nAnswer: 92777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -288. Suppose -v*b + 239 = 5*w - 2*w, -4*w - 4*b = -320. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 16, -30 in decreasing order.\nAnswer: 16, -21, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4648, 4634, 4608, 4564, 4496, 4398?\n\"Answer: -v**3 - 7*v + 4656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxn when three letters picked without replacement from {n: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -15*b + 140 - 70. Put -1, b, 30, -5, 5 in descending order.\nAnswer: 30, 5, b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(700\/(-24))*(-2)\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -1. Let y(r) = 3*r + 3. Let a be y(0). Let t = a - m. Sort 1, -3, t in increasing order.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 112 = 53. Let r = -50 + h. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 10 + -8 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1907 divide 643040400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - i + 7*i)*(5893 + 3079 + 4518 - 428 - 2274)*(5*i**2 - 2*i**2 - 2*i**2) to b + q*i**3 + n*i**2 + o*i and give q.\nAnswer: 21576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1161778 (base 10) to base 7\nAnswer: -12606052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533, -6222, -14045, -25008, -39117, -56378, -76797?\nAnswer: -100380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*a**3*q + 2451196*a**3 - a**2 + 1262*a*q**2 + 3*q with respect to q.\nAnswer: -269*a**3 + 2524*a*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 640 + -619. Suppose 37 = 4*d - g, -6*d + 8*d - b = 3*g. Solve 0 = 5*j - d*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24374 * 4.3.\nAnswer: 104808.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 8*p - 1. Let m(l) = l + 8. Let q be m(-6). Let w = -8 + q. Is d(w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 0. Let o = -0.045 + 0.025. Let a = o + 0.02. What is the nearest to -2 in s, a, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26753 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 6:13 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (-8 - (-63)\/7). Is (6\/(-18))\/(x\/(-73956)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5231*i - 800357. Determine y(153).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 5*g**2 - 2*g - 5. Let z be d(-5). Let b = -4 + z. Suppose p = -b + 9. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3277 - 1643 - 1636 + 43*x**2.\nAnswer: 43*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29758115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 10675 + 315. Suppose -p = 25*s - 27*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 5715.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-393.\nAnswer: -1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from yycycccyccycyy.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwd when three letters picked without replacement from {g: 2, f: 1, w: 2, d: 1, b: 6, u: 6}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48885 rounded to two dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b7 + 4?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -801 bigger than -801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1591 + -1579. Calculate the remainder when 46 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10790, 10780, 10756, 10712, 10642?\nAnswer: 10540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from cyyewccewwwyccy?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from iiqiiiqiiiiiiiiiqqiq?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h - 10. Let a be s(9). Suppose 0 = -4*c + a*c - 308. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 5. Let a be v(0). Let t(g) = -4*g + 5. Let m(i) be the second derivative of -i**3\/6 + i**2\/2 - 9*i + 3. Give a*m(q) - t(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045619 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**(7\/8))**(-2\/61)\/((o\/o**1)**(-12))**(17\/2) assuming o is positive.\nAnswer: o**(-1\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -6 (c) -1\/2 (d) 1\/4 (e) 18 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43548*t**3 + 119785?\nAnswer: -130644*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23680 and 134310.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.5383 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ldllldllllllldll.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:51 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136)*2*-5 - -1*sqrt(136)*1))\/((-2*sqrt(32) - (sqrt(88)*-2)\/sqrt(11))*-6).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let r(a) = -a + 1. Let o(i) = -i**2 + i - 1. Let v(x) = -o(x) - r(x). Calculate y(v(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 115146680 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*17\/(-170)*8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - 2. Let a be b(6). Let j(o) be the first derivative of 0*o**3 + 2*o - 1\/2*o**a - 1 + 0*o**2. Differentiate j(y) with respect to y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/135735 and -143\/30.\nAnswer: 271470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1539) - sqrt(1539))*3*5 + -5)*3*-2 + 5)**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2915 + -2914.9. What is the closest to f in -2, 0.3, 0.5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -756*x**3 + 5*x**2 + 923*x - 1. Let h(d) = -757*d**3 + 4*d**2 + 917*d - 1. Let n(b) = 7*h(b) - 6*v(b). Find the second derivative of n(p) wrt p.\nAnswer: -4578*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 25863?\nAnswer: -25861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -10, -1.\nAnswer: -60, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15605 divided by 3121?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*f + 6 = 5*z, 4*f - 25 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 439.05 - 8.05. Let q = 430.999622 - b. What is q rounded to five dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 + 1426 - 7*u**2 + 105 - 84.\nAnswer: 8*u**2 + 1447","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.154 - 0.364. Is l equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7565, -7564, -7563?\nAnswer: -7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5)*(-12)\/(-45))\/(28\/(-24010)*7)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3500))\/(sqrt(49)\/sqrt(7)*-2)*-3 + 0)**2 + 3 + -1.\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 11 (c) -1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:57 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129223682 to the nearest integer?\nAnswer: 11368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 804 and 18.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*c**2 + 3*c**5 - 37*c**2 + (-6*c + 4*c + c)*(-c**4 + 3*c**4 - 5*c**4).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-54) - (-251)\/3. Suppose -18*l = -5 - s. Sort l, 13, -2.\nAnswer: -2, l, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 11*w. Let x(g) = -2*g**2 - 7*g. Suppose -19*k + 84 + 68 = 0. Determine k*x(a) + 5*f(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 4*h. Give g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635216547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -253361 != -253355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 4, o: 1, d: 2, v: 2, j: 2}. Give prob of sequence oaat.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 31. Let b be 2\/5 - (-32)\/a. Suppose -4*w + b*w + 68 = q, -5*q + 160 = 5*w. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5 = -5*z, -5*z = m + 2*m + 25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + -29 + -41 + 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-258)\/1591*-37 + 22\/(-2). Let x = 0 + 0.2. What is the closest to x in -3\/2, w, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -2*z - 16*l + 3457, 5*l = -15. List the prime factors of z.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 135*b + 48*b - 732 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9\/12*(-1 - 341\/(-33))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 4*p + 24. Let g(x) = x**3 + 3*x**2 - 4*x - 2. Let v(d) = d**2 - 8*d + 8. What is the smallest common multiple of v(7) and g(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -41*q**3\/6 + 31*q**2 + 79*q. What is the first derivative of g(u) wrt u?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 22.2. What is the second smallest value in 3, -4, j, 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2. Let n = 11 + -8. Let m be z(n). What is the closest to 1 in -2\/9, m, -0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 11552*w**3\/3 + 1207792*w**2\/3 + 2514070*w + 4050732 = 0.\nAnswer: -98, -249\/76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.27 * 2726\nAnswer: -736.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348\/5 + 7 + -9 - (-207)\/(-345) is divided by 203.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 0 + 6*n**2 - 101*n + 3*n**4 + 7 - 9 wrt n.\nAnswer: 36*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4 + (1 - 3 + 4)*(3 + 3 - 4))*(-q - 1 - 2 - 3) to u + p*q and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 38*b - b**3 + 4112 - 2*b**2 - 4110 - 26*b. Calculate n(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, u: 13, f: 3}. Give prob of picking 2 h.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34956414?\nAnswer: 2, 3, 647341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6280 divided by -4?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48099, -48092, -48085, -48078, -48071, -48064?\nAnswer: -48057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -77 - -39) + 4 + 42\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**0*x))**(12\/7)*(x\/x**(-2\/7))**(-1\/14) assuming x is positive.\nAnswer: x**(-9\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 31 = 5*x - 2*f, 3*x = 5*f + 55. Suppose 0 = -x*b + 13*b. Suppose b = 3*w - 0 - 3. Is w > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 2*c - 12, 18*c = 384160*a - 384162*a - 108 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18245 + -1?\nAnswer: -18246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 103*v**2 - 4662*v - 50. What is p(-34)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3\/2)*m*m*m\/m**(-2\/7)*m)\/(m**(-2\/7)\/m)**(-41))\/((m**(-1)*m*m)**(3\/7))**(-50) assuming m is positive.\nAnswer: m**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -260, -376, -482, -578, -664?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 117337 + -3?\nAnswer: 117334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 3*a + 2785. Suppose -w + 2393 - a = 0. List the prime factors of w\/30 - (-2)\/(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - h**2 + (-h - 2*h**2 + h)*(-3 - 3 + 5) + 1 + 2*h**2 - 1 - 997*h**2 - 1165*h**2 + 2388*h**2 to j*h + n*h**2 + r and give n.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010 + -12110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 172665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*k + 4*k**2 - 4*k**2 - 5*k**2 + 283*k.\nAnswer: -5*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1317\/4 in -88.5, -0.3, 0.1, -25?\nAnswer: -88.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*r - 11*r. Calculate the greatest common factor of 200 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 9. Let k be y(-6). Suppose 2*l - l = -2*u - 4, -2 = l + u. Let d = -6 - -10. Solve d*s - s + k = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 137\/3, -2\/5, -3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/60 + z**4\/8 - z**3\/3 + 6*z**2 + 24. Let a be 2\/6 + (-13)\/3. Calculate d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212353846 or -212353847?\nAnswer: -212353846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 110. Let u = k - 89. Suppose u = -r + 4*r - 132. What is the remainder when r is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25764*h**2 - 94141 with respect to h.\nAnswer: 51528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 + 2*f + 3*f**2 - f**2)*(f**3 + 2*f**3 - 4*f**3).\nAnswer: 4*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 193 + 191. Suppose m + 123 = y. Which is the nearest to 0.6? (a) -1\/2 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4371821 to the power of 1\/2, to the nearest integer?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -836, -786, -736, -686?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c3a2 + 3?\nAnswer: 7c3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673420*p + 674095*p + 79650 = 0 for p.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9839?\nAnswer: 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*f = 366*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (3 - 4)) + -7 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 148 + 3323 = h, 3*h = -2*v + 9610. Calculate the smallest common multiple of h and 640.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + ((sqrt(68) - (sqrt(68) + sqrt(68) + 2 + sqrt(68))) + -3)*-6))**2.\nAnswer: 14256*sqrt(17) + 97929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1228390 divided by -245678.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*c + 28 + 30, -3*k = 2*c - 87. Let t = k - 25. Suppose t*q - 90 = 34. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/(-611))\/(2\/13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oavmjdo. What is prob of sequence ao?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 1.12. Let h = o - -0.32. Let z = 19 + -18. Which is the second smallest value? (a) h (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720070616.\nAnswer: 2, 37, 2432671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4, 0*k + k - 2*u = 11. Suppose -2*t = -t - 3*c + 109015, k*c = 2*t + 218015. What is t rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ac (base 14) to base 4.\nAnswer: -101230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17549, 20428, 23321, 26234, 29173, 32144?\nAnswer: 35153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 19*b**4\/4 - 7*b**2\/2 - 42. What is the second derivative of p(q) wrt q?\nAnswer: 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-6))\/((-6)\/(-9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245 - 411*j - 110 + 9 - 62 - 3*j**2.\nAnswer: -3*(j + 1)*(j + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -845*x + 4053066 + 103249438 = -13611081. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883.923ug in grams?\nAnswer: 0.002883923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 15. Let c(x) = -132*x - 1. Is c(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -60. Suppose -7*k = -q - 3639. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 5. Let u(i) = i**2 - 1. What is u(n(r))?\nAnswer: 9*r**4 + 30*r**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 6184.9811 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 1)\/2 + -1. Let u = 0 - s. Suppose 6*f - 7*f - 3 = -x, -5*x = 3*f - 47. What is the greatest common divisor of u and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 17470 in ascending order.\nAnswer: 0, 1, 17470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*q**2 - 21*q**3 + 606*q**2 + 67*q**3.\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (0 - (12 - (22 + -34)))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 + 0.38. What is the second smallest value in 5, h, 2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.009?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -k - 5997, -5*p + 2*k = -3*p - 2994. Suppose -7*j + p = 3*j. What is the greatest common factor of j and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k + 17. Let l be j(-14). Suppose -3*f + 2*x + 46 = -0*x, 0 = -2*f + 2*x + 34. What is the highest common divisor of l and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-5 - 2*(-1 + sqrt(5)).\nAnswer: -7*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-28)*(112\/8)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.42.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 283270175*y**2 - 3*y + 604599064 wrt y.\nAnswer: 566540350*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4045 + 0.7.\nAnswer: 4045.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-99)\/45 + 2)\/(((-272)\/28)\/(-4)) and -7\/731.\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36820 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - (-5 + 10 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*r - 42, -3*r + a = -0*a + 28. Let k(d) = d**2 + 10*d + 16. Let g be k(r). Solve h = 2*u + 10, g - 2 = -u + 5*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -28*k**3 - k - 1. List the prime factors of s(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p + 4*y, -5*y - 219 = -254. Which is smaller: 919\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*p + 1 - 1 + 24*p in the form k*p + f and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c, 5*q - 2*c + 298 = -13. Let m = 66 + q. Suppose 6652 = 3*y - p, -m*y + 11080 = -0*p - 3*p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33085106.\nAnswer: 2, 16542553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5740200 divided by -717525\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**3 + 14*i**2 - 3. Let r(s) = 2*s**3 - 5*s**2 + 1. Let p(m) = 4*f(m) + 11*r(m). Determine p(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5823 and 681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2537126 is divided by 256?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-36) - (-856)\/(-72))\/(0 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52546 is divided by 13129.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 845261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 6 - 30 = k, 3*s + 62*k + 2061 - 337 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 1. Let t be j(1). Let q(o) = -2 + 4*o**t + o**3 + o**2 + 0*o**3. Let h(n) = n**3 - 54*n**2 - 9*n - 2534. Let f be h(55). Calculate q(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*y + 245 = 0, -b - y = y - 34. What is the remainder when b is divided by (-2461)\/(-107) + -10 + 2 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-855*v + 3 - 8 + 1 + 4)*((-2*v + 3*v - 3*v)*(1 + 0 + 1) + 11*v - 13*v - 6*v + 4*v - 4*v + 2*v).\nAnswer: 8550*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*y**3 + 94*y**3 + 11*y - 10*y - y.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 22*a**3 + 2*a**2 - a - 1. Suppose -5*q - 12 = -9*q. Suppose 0 = -k + 5 - q. Is l(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/(f*f**(2\/7))*f))**(-12)*((f\/((f**(-5)\/f*f)\/f*f*f*f)*f)\/f)\/(f*f*(f**5\/f)\/f*f) assuming f is positive.\nAnswer: f**(-122\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -46797268 divided by -18779\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i - 20 = 0, 0 = -2*p - i - 3. Is -2\/7 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:14 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2814 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/2 + 75*w**2\/2 + 252*w + 216.\nAnswer: 3*(w + 1)*(w + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by -12\nAnswer: -119\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19344 - 10553. List the prime factors of h.\nAnswer: 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -1\/6 in ascending order.\nAnswer: -5, -1\/6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 5. Let o(y) = 3*y - 4. Let n(q) = 4*d(q) - 5*o(q). Let j(w) = w**2. What is j(n(x))?\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17854477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*x - 112*x + 4*k + 151049, -4*x + k + 120826 = 0. What is the greatest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/35)\/(16\/(-616)). Let o(u) = 2*u - 21. Determine o(k).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b20a - 5?\nAnswer: -b20f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321803*1.92.\nAnswer: -617861.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/584 and (-23763)\/(-2225)*(-15)\/(-1314).\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20102 - -605?\nAnswer: -17275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 122624?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5920*q + 14637 = 6781*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + 2*n + 1. Let b be u(-1). Let l = b + 1. What is the units digit of 84\/18 - 1\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l + 22. Suppose 5*z + 303 = 4*r + 2*z, -4*r = -2*z - 298. Calculate the smallest common multiple of 848\/r + (-4)\/(-18) and q(-7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3, -1433 in decreasing order.\nAnswer: 3, -1\/2, -1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-10 - (-12 + 17)) + (12 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54054 and 9828?\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 43620 - 245?\nAnswer: 433b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -322 + 359. Solve 3 = y - 3*x, 4*y + 3*x - 34 + d = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2523322 and -0.18.\nAnswer: -0.045419796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 2:59 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 494937? (a) 4 (b) -5\/4 (c) -0.5 (d) -5 (e) 2\/9 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + r**2 - 1. Let q be w(-2). Let z(c) = -3*c**2 + 3 + 10*c + 10 + 2*c**2. Let a be z(q). Solve l - a = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*n + 5055 = 0, 3*n + 3893 = 3*h - 1168. Suppose c - 2*c - 3*k + 582 = 0, -3*c = -5*k - h. List the prime factors of c.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 = -2*j + 3*y, -5*y = 2*j - 76 - 159 for j.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 = -16. Suppose 5*c - o + 0 = 0. Suppose p - 177 = -c*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214718929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 n, and 1 h when three letters picked without replacement from {u: 2, k: 1, m: 1, n: 1, e: 2, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (sqrt(432) - (sqrt(432) + 1)**2))*4 + 4 - (-1 + -2*sqrt(300) + -1*(sqrt(48) - sqrt(3))**2)) + 4.\nAnswer: 116*sqrt(3) + 1768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x**2 - 6*x + 37. Let n(r) = 4*r**2 + 8*r - 37. Let q(j) = 5*k(j) + 6*n(j). Calculate the smallest common multiple of 24 and q(15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/5, -0.2, 327, -5?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 2*q**2 + 91*q - 280. Determine b(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(0*j - j + 3*j) - j + 2 - 2 - 3*j - j + j + j - 2*j + 0*j)*(1 - 5 - 3)*(-52 + 20 + 26).\nAnswer: -294*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -2*c, -3*c + 0*a + a = -7. Suppose -c*p = -0*h + h - 164, -p + 2*h = -92. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**6\/120 - 3*c**5\/40 + c**4\/4 - 2*c**3\/3 - 6. Let j(n) be the third derivative of l(n). Factor j(u).\nAnswer: 3*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -0*b - 2*b + 4*l, 0 = -2*b - l + 129. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607759012 + 86*v**3 - 607759012.\nAnswer: 86*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/9 + 560\/(-126). Let t(a) = -83*a + 93. What is the units digit of t(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(133) - -5*sqrt(133)*-1)*-1)\/(((sqrt(1008)*2 - sqrt(1008)) + sqrt(1008))*-6*6).\nAnswer: -sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*-1*sqrt(117))\/(3*(sqrt(9) + sqrt(144))))**2*6.\nAnswer: 103\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/6265831?\nAnswer: -2\/6265831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 20*o\/3 + 448\/9.\nAnswer: 2*(o - 16)*(o - 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -7492538 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*z**2 - 23*z**2 + 24*z**2 to t + j*z**2 + o*z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329291699.\nAnswer: 11, 2721419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:49 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21044720 is divided by 1723?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -264*f**5 - 4*f**3 + 29*f**2 - 4*f + 4. Let u(d) = d**5 + 2*d**3 - d - 2. Let h(t) = 2*u(t) + v(t). Find the third derivative of h(n) wrt n.\nAnswer: -15720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2152614 - 20?\nAnswer: 2152574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:37 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 5036*b - 2. Let o(m) = 259*m. Give v(o(k)).\nAnswer: 1304324*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*r - 3*c + 35, c + 36 = 3*r. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 3. Let j be s(4). Let f be 10\/(-5)*j\/(-1). Let c be (2 + -9)\/(f\/6000). What is c rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 230.413 - 177.34. Let v = j - 7.085. Let t = 46 - v. Round t to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dzccdz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.05. Let x = 2.05 - 2. Let d = y + x. Round d to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -1\/2 (c) 31 (d) 8\/9 (e) 7 (f) 5 (g) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let x(u) = 3*u**2 + u**2 - 3*u**2. Determine x(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/13 - 466530*v\/13 + 20057092\/13 = 0 for v.\nAnswer: 43, 233222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58328, 236655, 533866, 949961?\n\"Answer: 59442*y**2 + y - 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -469 + 469. Let t(z) = z**2 - 6*z - 1. Let v be t(6). Let o = 1 - v. Is o less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 12\/(-20)*-5 - (-30)\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -300*i**2 + 225480*i**3 + 8 + 404148*i**3 + 304*i**2. Let o be c(3). Round o to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/84 + (-9)\/24*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 24 = -s. Suppose 5*m - 2*b - 9 = 0, 6*b - 3*b = 5*m - 11. Calculate the smallest common multiple of s and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0024810115 to 5 dps.\nAnswer: 0.00248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose 4*s - p - 15 = 0. Suppose 5*t + s*u = -10, 2*t - 6*t - 7 = 5*u. Let d(b) = -b**2 - b. Give d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20)*1104\/(-621))\/(22\/15)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 56. Solve -w - y*l - 17 = 0, -4*l - l - 19 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Let j(m) = -2 + b + 3*m - 2. Let p(g) = -2*g + 1. What is -3*j(f) - 4*p(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 406865551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 72\/5 - 42\/5*i**3 - 69\/5*i**2 - 3\/5*i**4 + 42\/5*i = 0. What is i?\nAnswer: -12, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -78? (a) 2\/17 (b) -5 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3544 + -33461?\nAnswer: -26614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 242*d + 0 - 4*d.\nAnswer: -246*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 11*c**2 - 14*c - 24. Let y be j(-12). Is y != 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:53 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i**4 + 11991*i**3 + 23*i**2 + 297*i - 277?\nAnswer: 96*i**2 + 71946*i + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -214 + 412. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1952 and -53\/21472.\nAnswer: 21472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01634 + -13.01634. Let j = 0 - -0.2. Which is the fourth smallest value? (a) q (b) -1\/3 (c) -3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4983)\/(-14949)*(-210)\/(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 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: Calculate ((-20)\/(-80))\/((12\/32)\/((-30)\/4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*r + 2*h - 13, -3*r = 3*h + 6. Which is the second biggest value? (a) r (b) -0.2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 78 = -3*n - 17*f + 2*f + 18, -4*f - 143 = 7*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -43 (b) -11\/12 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131593512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -23815.4 to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2331217 (base 9) to base 6.\nAnswer: 43004111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 4*y + 5. Let q be p(-5). Suppose -o + 5*o = 24. Solve -l - l + o = 2*s, q = -l - 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/7)))**(-6\/25)\/(j\/(j*j\/j**(-2))*j*(j**(3\/5)\/j*j)\/j) assuming j is positive.\nAnswer: j**(432\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 0*i**2 + 0*i**2)*(i**2 + i**2 + 0*i**2) + (-233*i**3 + 187 - 187)*(-i + 5*i - 2*i).\nAnswer: -468*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 130739087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 313356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 5116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00247832487 rounded to 6 decimal places?\nAnswer: 0.002478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1484 + 538.\nAnswer: 2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 5 (c) 20\/19 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*m**3 + 539*m**3 + 147*m**3.\nAnswer: 517*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.69 + 103. What is r rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*l = 2*f + 15, -4*l - 8 = -4*f. Let a be f + -1*(2 + -3). Suppose -9*r - 5*r + 798 = a. List the prime factors of r.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2 + 1. Let m(x) be the third derivative of -x**6\/60 - x**5\/20 - x**3\/3 - 234*x**2. Give m(r) + 3*u(r).\nAnswer: r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(3 - (4 + 2128)). Let q = -1251 - u. What are the prime factors of q?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 9 = 2*w + 2, 4*w = -v - 1. Suppose v*t = t, -3*t = -p. Suppose 2*a = -p*a + 2*z + 28, 5*z = -20. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) - 356\/(-3). Suppose 4*y + 542 = 2*a, -5*y + 634 = 2*a + 47. Let s = a - o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 5 - 4*q - 5 - 11*q with respect to q.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 1:36 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/8)\/((-5)\/(-30)). What is the remainder when -3 + 57 + (-12)\/v is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14279*o**3 - o**2 - 12*o - 12. Let a be h(-1). Suppose 2*k - 19154 = 5*p, 5*p = -4*k - 4864 - a. What is p rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*v - 364 = -3*x, -x + 118 = -2*v. Let n be 2\/11 + x\/66. Is n at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**2 - 7*b + 9. Let m = -18 - -23. Let u(f) = -13*f**2 - 10*f + 13. Let r be 2\/3*(5 + -2). Suppose -19 = r*q - 5. Determine m*u(i) + q*h(i).\nAnswer: -2*i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 + 2.7. Which is the second biggest value? (a) v (b) 2\/11 (c) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b25 (base 16) to base 3\nAnswer: 1012000012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 12. Let g be t(0). Suppose -k - g = -3*i + 1, 2*i = 5*k. Find the third derivative of 2*p**5 + 25*p**6 + 2*p**i - 4*p**5 + 12*p**2 wrt p.\nAnswer: 3000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 504 (base 10) to base 7\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 38 - 1046. Let g = i + 31. Solve -d + n = 5 + g, -2*n = 3*d + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-28))\/((2\/(-7))\/((-528)\/(-462))). Put -0.3, -2, -6, 1, a in decreasing order.\nAnswer: 1, a, -0.3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*g + 40 = 0, 0*b - 3 = 3*b - 3*g. Suppose 0 = -4*f - s + 553, 4*s - 689 + 121 = -b*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 37. Let x(i) be the first derivative of -i**2\/2 - 12*i + 890. Give 4*a(k) - 11*x(k).\nAnswer: -k - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 4*h - 24, -49*w + 3*h = -52*w + h + 17 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -l - 2*l. Let d = 2 - l. Let y be (-9)\/d - -1 - 0. Solve -5*k + 20 = y*z, 2*k - 3*z - z - 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/23 - 13\/92. What is the closest to 2\/5 in -1\/6, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from {i: 1, t: 2, d: 2, y: 1, c: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/12 - 5*g**3\/6 - g**2. Factor v(o).\nAnswer: 5*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49899.70899 rounded to the nearest ten?\nAnswer: 49900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 214366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4736 to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 375783 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 618*s**4 - 262*s**3 + 2498. Find the third derivative of b(w) wrt w.\nAnswer: 14832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/7)*u*(u*u**6*u)\/u)**19*(u**1*u)**(-5\/3)\/((u\/(u\/(u\/(u\/(u*u*u**(-1\/5))*u))*u))\/u**(-1\/5)) assuming u is positive.\nAnswer: u**(3749\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h - 4. Let g be u(3). Suppose y = -3*n + 28, -1 = 3*n + 4*y - g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -117.45 + 120. Let o = x + -0.55. Sort o, -2, 0.2, -0.3.\nAnswer: -2, -0.3, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.083077603 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122 (base 3) to base 7.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3006 divided by -167\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 26 - -105) + (-3 - (-3 + -2)) + -9\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (356*k - 356*k + 2*k**2)*(2 + 0 - 4).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 449343\nAnswer: -49427.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v = 3*z + 165, -2*v - 3*z + 87 = 0. Suppose v*p - 2 + 2 = 0. Sort 4, -8, p.\nAnswer: -8, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3419*t + 133295. Calculate o(-39).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 2*a + a - 3, -5*a + 5 = 2*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634331 a multiple of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (6 + -20 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 9:14 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*h*w + 2*g*h*y**2 - g*w - g*y**2 + 131*h*w*y**2 - 2*h*w*y - w*y**2 - w*y + 159*y wrt y?\nAnswer: 4*g*h - 2*g + 262*h*w - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**2 - g + 1\/15*g**6 + 26 + 9\/7*g**7 + 5\/3*g**4 + 0*g**3 + 0*g**5. What is the third derivative of c(k) wrt k?\nAnswer: 3240*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4093 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 - 6*b**3 - 9*b**2 - 14*b + 190. Let y be t(-17). Let d = -4 + 6. Put y, 4, 9, d in descending order.\nAnswer: 9, 4, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:59 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 358*i - 28357. Calculate o(79).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.484856 to two decimal places.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24990 - 8418. Suppose 0 = 7*j + 14151 + q. Let c = 8876 + j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146+5556911160\nAnswer: 5556911014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**3\/2 + 25*t**2 + 271*t\/2 + 110 = 0?\nAnswer: -4, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jybj when four letters picked without replacement from {y: 7, b: 4, j: 4}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 8. Let w(t) = t. Let i be w(v). Suppose 0 = -i*b + 3*b - 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39 + (-78 - -39))*3\/((-6)\/2). Solve 10\/13*w - 22\/13*w**2 + n - 2\/13*w**4 + 14\/13*w**3 = 0 for w.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 50. List the prime factors of u.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m. Let c(r) = -26 - 22 - 5*r + 48. Let t = -60 - -58. Calculate t*c(x) - 3*v(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0 - 52*p**2 + 0*p + 1\/75*p**6 + 1\/525*p**7 + 0*p**3 - 11\/150*p**5 + 1\/10*p**4. Factor c(h).\nAnswer: 2*h*(h - 1)**2*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -32, 0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 2, -1, -19 in increasing order.\nAnswer: -19, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197543148?\nAnswer: 2, 3, 11, 37, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(2\/(-20)*5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 - 5*h + 1. Calculate s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150 - 610?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4182*o = -264*o - 121458 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/35444 and -29\/301274?\nAnswer: 602548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(-2)\/(-4). Let j = -2086 - -2089. Which is the closest to 0.5? (a) 2 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (388573*k - 3*k**2 + 6*k**2 + 3 - 388482*k)*(2*k**2 - k + k).\nAnswer: 6*k**4 + 182*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 4*f**2 + 3*f - 3 - 3. Let d(b) = -9*b**2 - 5*b + 12. Let w(r) = 3*d(r) + 7*s(r). What is the lowest common multiple of w(-3) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55611456409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3804415555 from -6.\nAnswer: -3804415561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115967791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446 and 634916234.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1, -0.5, -2, -1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 7184\nAnswer: 2873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/652966 and 79\/3690.\nAnswer: 29383470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + (127 - 107) - (1 + 1 + -5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba00 (base 13) to base 3.\nAnswer: -1022110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13231243 (base 5) to base 14.\nAnswer: -36831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -200, 0.21, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -2.01\nAnswer: -18.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 6 = -4*h. What is the tens digit of h + 0\/((-4)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 16) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -4) + -11 - (-2 + 15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 739085912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 72785, -28, 1, 3, -5 in increasing order.\nAnswer: -28, -5, 1, 2, 3, 72785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 808.46 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 6) to base 13\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228994 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1886622 and 5?\nAnswer: 9433110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 15. Let z be (-39 - 0)*146\/q. Let j = 454 + z. Find the common denominator of 55\/16 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 - 3 = 0, -3*q + 31 = n. Suppose 5*g + 24 = q*g. Let i be (-8)\/12 + 5 + g\/6. Solve -2*p + p + i = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 81*s**2 - 121. Let z(t) = 40*t**2 - 60. Let b = -4 - -1. Let a(q) = b*o(q) + 5*z(q). Find the first derivative of a(j) wrt j.\nAnswer: -86*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146227 and 60791?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 78*a - 582720. List the prime factors of a.\nAnswer: 2, 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*z - 102*z = -510. Let h = z - 64. Is h greater than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 13. Suppose -28 - 42 = -2*p. Suppose -28*m + 49 = -p*m. Calculate s(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose 4*q - n = 11. Suppose -d + 4*d = -5*k + 547, q*k - d - 441 = 0. What is the highest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -4*u + 5, 0*z + 3*z = 15. Factor 0 + 0*g**2 + 1\/2*g**u + 0*g - 1\/2*g**4 + 0*g**3.\nAnswer: g**4*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13182.0008833 - 13182. Round n to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 57*v**2 - v + 1. Suppose 4 = -3*o + 7. Let s be u(o). Suppose l = -3*n + 11 + 13, s = 2*l + 3*n. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*s - 6*s - 199, 2*s + 247 = -5*p. Let j = p - -87. Let h = 39 + -19. Calculate the remainder when j is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*y - 5 = -0, 0 = 2*n + 2*y + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44387 - -20858. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*c = 33*c - 91 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/12 + 6\/(-72). What is the nearest to -1 in 1\/2, a, 0.03?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1138 + 10*a - 1138 - 1 + 31*a - 9*a + 2 + (-1 + 2 + 0)*(-3 - a + 3).\nAnswer: 31*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**6\/20 + i**5\/12 + 6*i**2. What is the third derivative of f(x) wrt x?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/255 and -44\/681207?\nAnswer: 3406035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 v when two letters picked without replacement from {r: 1, x: 4, w: 6, v: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/(2*3\/171). Suppose t = -s + 25. Suppose -2*x = -t*x + 88. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127384.\nAnswer: 2, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide ((-84)\/(-14))\/((-1)\/(-632))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - l + 2. Let n(z) = -11*z**2 + 5*z + 1852. Determine n(q) + 3*s(q).\nAnswer: q**2 + 2*q + 1858","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4) + -1 - 18 - (2 + 2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3 = -3*l, -3*p = 2*l - 3*l - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/sqrt(972))\/(sqrt(3) - sqrt(21)\/sqrt(7)*-5).\nAnswer: sqrt(19)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 95?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101010110100001111101?\nAnswer: -101010110100001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5660, -11468, -17274, -23078, -28880, -34680?\nAnswer: -40478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47919.\nAnswer: 3, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3630 + -39969\/11. What is the common denominator of z and 34\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 65. Let r be (-24)\/9*h\/8. Suppose -y = 2*t - r*t + 2, 5*y + 10 = t. Is 1\/151 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -g + 4*b, 332*g = 334*g + b + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000010851 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-12497)\/(-5) - 580\/1450?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/20 + 1\/(-2). What is the closest to n in -2, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/15120 + o**6\/2160 - 25*o**4\/12 + 7*o. Let r(c) be the third derivative of p(c). Suppose r(g) = 0. What is g?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-10))\/((-4)\/130). Let d be (-22)\/q + 2\/2. Let j = 0 - -1\/2. Which is the closest to 1\/4? (a) d (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -55614, -42604, -29598, -16596, -3598, 9396?\n\"Answer: -2*b**2 + 13016*b - 68628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/6 + 81*j. Let v(w) = -15 + 15 - 34*w**2. What is v(b(x))?\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10254210 + -2?\nAnswer: 10254204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 3. What is c(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 4?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.07 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:05 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -559 (b) -0.3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 divided by 4412346?\nAnswer: -38\/2206173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -878, -7607, -25874, -61451, -120110, -207623, -329762?\n\"Answer: -962*z**3 + 3*z**2 - 4*z + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.9479 and 2.\nAnswer: -1.9479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3033 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -6. Suppose 0*o = -d*o. Let q be (-1)\/(-2)*(o - 0). Solve -2*m + 14 = 3*m + 2*k, q = 3*m - k - 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2079 + -2076. Let i be 20\/(-6)*6*-1. Suppose 3*l = -0*l, i = 5*w + 2*l. Calculate the smallest common multiple of x and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -715992.2 and 8.\nAnswer: -715984.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -1.1. Let p = -5\/18 + 1\/2. Let f = -0.4 - -0.4. What is the closest to a in f, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -227, -251, -321, -461, -695, -1047?\n\"Answer: -4*v**3 + v**2 + v - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28290 in 0, 3\/5, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - q**2 - q. Let c(y) = -4*y**3 - 178*y**2 - 573*y. Let i(o) = c(o) - 3*j(o). Suppose i(d) = 0. Calculate d.\nAnswer: -3, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and 123\/1135030.\nAnswer: 1135030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/16*10*(-211)\/((-53805)\/(-5508)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.93 - -29.73. What is the nearest to -1\/4 in -19, -5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599559 by 1.\nAnswer: -599559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125405327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose -2*x - y + 39 = f, 4*x = 7*y - 2*y + 85. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (34 + -17 + 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148655, 148744, 148989, 149468, 150259, 151440, 153089?\n\"Answer: 13*q**3 - 2*q + 148644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -54 (c) -261 (d) 0.047\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000276008 to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:08 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -565 (base 15) to base 3.\nAnswer: -1200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28217?\nAnswer: 7, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*d + 183*d = 52 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-27)\/(-117)) + -9. Solve 0 = -a*h - x - 8, -5*x = 3*h + 4 - 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4364.2 - -4364. What is the fourth biggest value in 23, y, -1\/6, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 130437981 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -46, -32, 2, 62?\n\"Answer: v**3 + v**2 - 10*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 992261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, w: 4, z: 4, j: 1, k: 5}. What is prob of picking 1 h and 2 z?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from vrvvbvbvb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000236669363 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 375*j**2 + 53*j - 355. Is n(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 g when three letters picked without replacement from {y: 1, g: 2, s: 2, l: 9}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 5*i + 5*i - 18*i.\nAnswer: -19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3729671, -7459355, -11189069, -14918825, -18648635, -22378511, -26108465, -29838509?\nAnswer: -33568655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2059*k = 1962*k - 2813 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/7*14\/4. Factor -21 - 19*t**p + 10*t**2 + 25 + 46*t - 41*t**2.\nAnswer: -2*(t - 1)*(25*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2))\/(-1) - 4. Let i be 1\/((-2)\/(-2 - d)). Let c be ((-2)\/12 + (-4)\/(-6))\/(125\/1250). Put -1, c, i in decreasing order.\nAnswer: c, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:27 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 36*s - 34*s - 20 as v + x*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.54 + -0.34. Let x = 68.82 + -69.8. Let q = y - x. Which is the second smallest value? (a) -0.05 (b) q (c) 3\/5 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 7*b**2 - 8*b + 5. Calculate u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*z - 817 + 993 = -214*z - 2740 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 17 = -82. Suppose -d*t + 2069 = 584. What are the prime factors of t?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180*33\/4620*-14*1\/(-12)*-62.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 1, z: 4, l: 1}. Give prob of sequence zf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-12)*8\/(-3). Let x = 0.9 - 4.9. What is the nearest to -0.2 in i, 4, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 568113, 1 in decreasing order.\nAnswer: 568113, 118, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - t - 24. Let z = -206 - 316. What is the remainder when ((-8)\/24)\/(3\/z) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1581 divide 19533904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142496, -142505, -142494, -142451, -142364, -142221, -142010, -141719?\nAnswer: -141336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (-11 + 6 + -1)) + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 372?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76025\/12 + -6346. What is the common denominator of (130\/(-28))\/1*(-35)\/(2 - -33) and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1744803 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2736\/252)\/((-1)\/(-7)). What is the third derivative of 12670*z**2 - 2*z - 12689*z**2 + 18*z**3 - g*z**3 wrt z?\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**8\/8400 + j**7\/1680 - j**6\/1200 + j**5\/12 - j**2. Let f(z) be the third derivative of i(z). Let f(m) = 0. What is m?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2903 - 52193\/18. Find the common denominator of 182\/(-8) - (2 + -2) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5555992 and 31412724.\nAnswer: 816730824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 177?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79600.02ml to litres.\nAnswer: 79.60002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412580?\nAnswer: 2, 3, 5, 13, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8 (b) -0.4 (c) -408\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 + j**3 - 4*j + 2*j**2 - 6*j**2. List the prime factors of k(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326867 - -857944.\nAnswer: 531077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q. Let o(k) = 13*k**3 - 2*k**2 - 2*k + 5. Calculate 2*g(l) - o(l).\nAnswer: -13*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9069523 or 1?\nAnswer: -2\/9069523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, a: 2, d: 10, p: 2, y: 1}. What is prob of sequence pas?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13666949*f**4 - 10599847*f**2 - 2?\nAnswer: 328006776*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3901211 - 2\/(810\/(-99) + 8). What is a rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7157.\nAnswer: 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*g - g - 6*g)*(-7 - 3 + 4)*(3 - 5 + 3)*(3 - 2 - 2) as w + s*g and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 + 32 = -133*a - 482 - 683 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + 1*sqrt(152) + sqrt(152) - sqrt(152))\/sqrt(8))**2 - (sqrt(57)\/sqrt(3) + -4).\nAnswer: -sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 26*w**2 + 14*w - 2885. Let h(s) = -11*s**2 - 6*s + 1441. Determine 7*h(j) + 3*z(j).\nAnswer: j**2 + 1432","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -21*k**3 - k**2 - 3*k - 3. Let d(w) = 3*w - 4. Let n(z) = -z + 1. Let o(r) = -d(r) - 2*n(r). Let c be o(4). Is i(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 156090, 156064, 156040, 156018, 155998?\n\"Answer: v**2 - 29*v + 156118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 197, 298, 401, 506?\n\"Answer: q**2 + 96*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50213?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + -2077?\nAnswer: -20a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 73, 57, 23, -35, -123, -247, -413?\n\"Answer: -t**3 + 3*t + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1276*b + 1684*b - 399*b + 328*b + 18*b as i + m*b and give m.\nAnswer: 2907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) -15 (c) 4 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1855 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-10))\/(16002\/(-420) + 38).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mda when three letters picked without replacement from addadddamddddadad.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-1)*(6 + -5). Let x(u) = -u + 6. Determine x(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 4\/7, -1.111?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-26 - -4) + 17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.283278 nanometers to centimeters.\nAnswer: 0.0000000283278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38155260 and 2860?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000036425906 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4331, 3759, 5.\nAnswer: 5, 3759, 4331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 10*p**2 - 22*p - 3. Let k be h(-7). What is the biggest value in k, -0.3, -17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1332000 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) - sqrt(1029)*1)\/sqrt(3)*3 + (sqrt(70)*1*-4)\/(sqrt(640)*-1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 > 20227898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -58, -45.\nAnswer: -58, -45, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7040 - 2203. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 v when three letters picked without replacement from mvxxxxxvxxxmmxxmvyv?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 106*f - 84. Let o be z(-36). What is the third biggest value in -1, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5\/7 - 908*f**4\/7 - 24*f**3\/7 + 5416*f**2\/7 + 1036*f + 2724\/7 = 0?\nAnswer: -1, 3, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 2*j - 4. Let w(z) = -z**3 - 3*z**2 + 3*z + 4. Let i(x) = 3*k(x) + 2*w(x). Differentiate i(a) with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 106414.2 milligrams?\nAnswer: 0.0001064142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -877\/2? (a) 5 (b) 1\/3 (c) -0.3032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3481 + -2374. What is the highest common factor of 328 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4627\/30 - 772\/5. Put n, 0.18, -5, 5 in increasing order.\nAnswer: -5, n, 0.18, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -914 = -2*c + 3*t, -6*c + 3*c + 1392 = -t. Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 165, 530, 1237, 2400, 4133, 6550, 9765?\nAnswer: 13892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37361.2 microseconds to nanoseconds.\nAnswer: 37361200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 798 = -793 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**3\/7 + 3665244*x**2\/7 + 14661048*x\/7 + 14661072\/7 = 0.\nAnswer: -2, 610878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10728)\/8046*(-3)\/(-60)*-9\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2476 and 591.64?\nAnswer: 1884.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 + 0.2. Let x = g - 4.5. Let v = -0.339 - -0.139. Which is the closest to 0.1? (a) v (b) x (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -758*z + 17 = -759*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 1\/8 (c) 0 (d) -0.12 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1119193\/321 + -865\/107. Let o = 3439 + q. Let i = o - -55. Which is the second smallest value? (a) i (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1711 * 1.1.\nAnswer: -1882.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Suppose 5*m = -2*p - 13, -5*m + 11 = -3*p - 4*m. Let t = -2 - p. Let b(v) = v - v - 8*v**t + 0*v. Determine b(u(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -3*u**3 + 1882602*u**2 = 0.\nAnswer: 0, 627534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:40 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44273352 divided by -4.\nAnswer: 11068338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 530662 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11374658 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 71*z + 51. Is 19 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -233839\/20 - -11687. Let o = n + 23\/4. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -54, -180, -4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85932190387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5519 + 193*g**2 - 5865 + 11386.\nAnswer: 193*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -539064010605 and 0?\nAnswer: 539064010605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(99) + (sqrt(99) - (sqrt(99)*-2 - sqrt(99)))*6)*3)\/((sqrt(90)*-1*5)\/sqrt(10)).\nAnswer: -15*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2095493*i**5 - 582803*i**2 wrt i?\nAnswer: 125729580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4725 divided by -175.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*f**5 - 2*f**4 + f**2 - 15*f wrt f?\nAnswer: -4080*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 8*z - 4. Let w be h(-10). Let b(c) = -24 - w - 7*c**2 + 40. Let y(u) = -4*u**2 - 28*u**2 + 24*u**2. Give b(y(s)).\nAnswer: -448*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2761380991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 74\/5 of a hour?\nAnswer: 53280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 + 24 = -h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 87*r + 23 = -92*r, -22 = -2*y + 4*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/(-492)*45*(6 - 4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*i + 24784 = 0, 27*h = 30*h - 4*i - 18593. Calculate the remainder when h is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(10\/(-25)*30\/21*21\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3030.1 + -1867.2. Let g = -354.1 - p. Let q = g + 1517.0001019. Round q to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553133 (base 6) to base 14\nAnswer: 12b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5137 = -2*u - 3*u - 4*s, -2*s = -5*u + 5149. Suppose -u = -5*w + 61. List the prime factors of w.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122799489, 122799483, 122799473, 122799459?\n\"Answer: -2*g**2 + 122799491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76718 is divided by 14532.\nAnswer: 4058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p**2 + 3*p - 3. Let i(v) = v**3 + 10*v**2 + 43*v + 222. Let a be i(-8). Let t(d) = -15*d**2 + 6*d - 5. Calculate a*t(l) - 11*z(l).\nAnswer: -2*l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 10) in base 14?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*i - 1 - 28, -3*i - 5*t = -76. Suppose i*b = b + 15376. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1\/18*r**4 + 0*r**2 + 1\/36*r**6 - 1\/180*r**5 + 0 + 4*r + 5\/6*r**3. Let i(z) be the second derivative of m(z). Factor i(v).\nAnswer: 2*(3*v + 1)*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:53 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:58 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 18*j = -6. Let r(x) = -x**2 - x + 3. Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 9 = 0. Let g = 3.92 + -3.62. What is the third biggest value in y, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/282080339 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 5:45 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eaqq when four letters picked without replacement from aeaqqqaeqqeaeq.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose -2*d + 5*g - 4 = d, j*g = 4*d. What is the remainder when 3*(20\/6 + d) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/19, 4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 3*h + 25 + 5, 2*f - 19 = h for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -125*k + 127*k - 1, -4*k - 56 = -64*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316505 - -1?\nAnswer: -316504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 72653364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116402 divided by -8954.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(50\/15)*(-2)\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 4*a - 118 = 8*p, 4*p + 2*a - 172 = 0. Calculate the highest common divisor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 15*r + 91. Calculate m(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 - (2 + -2)\/4. Calculate the greatest common factor of z and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -8\/7 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861851 is divided by 282?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*d = 23 - 193 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from wcwwbchwcw?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-14)\/(-2100)). Let q = o - -241. Suppose a + 3*z - 32 = 8*z, -z = -3*a + q. Calculate the remainder when a is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(21\/147)\/((-4)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0 + 1\/6*o**4 + 0*o - 4*o**2 + 0*o**3 + 1\/10*o**5. What is the second derivative of u(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 15*b**2 - 251*b + 203. Let j(i) = -i**2 - 1. Let x(y) = 34*j(y) - 2*l(y). Factor x(v).\nAnswer: 2*(v - 20)*(v - 11)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1110.46 + 1081. Let p = 0.54 - b. Let j = -29 + p. What is the nearest to 0 in -3, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 27*q**2 + q + 31. Let d be m(-27). Solve a = 5*g - d + 13, -5*a - 5*g = -15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 7 + 109 - 2*h + 7*h - 7.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9410*d + 1129195. Calculate o(120).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.7 - -44.7. Let u = 33 - r. Which is the nearest to 0? (a) -2\/17 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60004 + 99106. List the prime factors of k.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(2\/(-3)))\/1. Let w(y) = 92*y**3 - y + 1. Let x be w(1). Suppose 61 = b*d - x. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279 not equal to 9279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*k + 768*k + 36891 = -16819 for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 - 1259*k**2\/4 - 18836*k - 344745\/4 = 0.\nAnswer: -47, -5, 1467\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -8. Suppose w = -5*a + 22, -18 = -5*a - 2*w + u*w. Suppose 2*r - 35 = -l + 63, -a*r - 5*l + 208 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) + sqrt(168)\/sqrt(4))*6)\/(sqrt(96) + -2*sqrt(96)).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -230.198461 rounded to 2 dps?\nAnswer: -230.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*z + z - 18*z + z in the form p*z + d and give p.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 2. Let z = 2.85 - -0.15. Put z, m, -2\/21 in descending order.\nAnswer: m, z, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92164 is divided by 13114?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.44?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466.852mm in kilometers?\nAnswer: 0.004466852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 138. Find the second derivative of -9*d**w + 15*d**3 - 2 + 22*d**3 + 0 + 3*d wrt d.\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d7 - -31?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 792950\nAnswer: -42026350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - q - 33 = 3*m, -4*m - 48 = -4*q. Let o be (1 - 66\/5)\/(m\/45). Suppose -2*z + o = 11. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1056, 2108, 3168, 4242, 5336, 6456, 7608?\n\"Answer: k**3 - 2*k**2 + 1051*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 32) + (-22 + 12 + 1 - -121).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 34*h**2 + h + 51. Let y be m(12). Solve -27 = -360*j + y*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 354*t**3 - 3*t**2 - 7*t. Let c be j(8). Round c to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29827 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let s(r) = -13*r**2. Let f(d) = 6*d**2. Let k(w) = -15*f(w) - 6*s(w). What is k(n(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 11 = -44*b + 41*b, 5*s = -4*b + 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 - 40. Calculate the remainder when 55 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -61\/4, 0.3, 58, -287?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25598 is divided by 8528?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(12\/3)*(-7)\/14?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.7286 + 1.7286. What is the third smallest value in 1, 0, f, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enqejgn. Give prob of picking 1 j and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6 = -3*a - 3*c, -c - 3 = 2*a. Let t be (0\/1 + a)\/(5\/165). Is -32 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1995 - 2202.2. Let v = q + 208. Which is the nearest to v? (a) -0.1 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 12*h - 6. Let u be p(8). What is the greatest common divisor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*b + 3 + 2, 0 = -4*b + r + 16. Suppose -12 = -5*z + b. Suppose -42 = x - z*x. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 x, and 1 m when four letters picked without replacement from bmxxxbmxbmmxm.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/24*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 22 (b) 1\/4 (c) -7.74 (d) -5 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 859314 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 308051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5486 - -1.4486. Sort 18\/25, 3\/7, -4, v in ascending order.\nAnswer: -4, v, 3\/7, 18\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-332)\/1 + (1 - 5)\/(-4). Let m = i + 4967\/15. Sort -0.5, m, -2\/19 in descending order.\nAnswer: m, -2\/19, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32686527617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(0*n + 5*n**3 + 0*n + (2 - 2 + 2*n)*(2 - 2 - 2*n**2)).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + (-1 + (sqrt(1008) - 1*sqrt(1008)))*-6)*-5)**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2148325 (base 11) to base 12.\nAnswer: -131ba93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:59 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 303*k**4 - 28*k**3 - 640*k**4 + 335*k**4 - 8*k**2 + (-3*k - 3 + 3)*(0*k**3 - 4*k**3 + 3*k**3).\nAnswer: k**4 - 28*k**3 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7981872719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17689 - -18184.64. Round i to the nearest ten.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/3)\/(20*(-3)\/(-96)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -6*g**3 - 9424*g**2 + 50456*g + 37824 = 0.\nAnswer: -1576, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*i + 347*i + 200 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83771 - 613*z**2 + 83771 to the form b + j*z**2 + o*z and give j.\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46092*l**2 + 108075 wrt l?\nAnswer: -92184*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 2. Let n(v) = 8*v + 15. Let o(f) = -6*n(f) + 51*w(f). What is the derivative of o(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35644 by -532.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 1:13 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let i be f(2). Let d = -30 - 17. Let l be i - (0 + d)*1. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - sqrt(110)*-2)*2 - sqrt(110))\/((sqrt(640) - (sqrt(640) - (sqrt(640) - -1*sqrt(640)))) + sqrt(640)).\nAnswer: 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2109 + 33*b - 2104 + 4201 to o + p*b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(5) + (sqrt(20) - sqrt(5)) + 2 + sqrt(20)\/(1*sqrt(4)) - (-2*sqrt(1620))\/(sqrt(72)\/(sqrt(8)*-1)))**2.\nAnswer: -18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0351 from -7173655.\nAnswer: -7173655.0351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15354583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-48)*-4 + 10\/80*-122. Let c(w) = -w**3 - 16*w**2 - 18*w - 4. Give c(k).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffflfffffffffff. Give prob of picking 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 8\/3, -17, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 12 - -5)*28. Suppose -3*v - 2*v + 20 = 0. What is the highest common divisor of v and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3)*-1)\/(-3*sqrt(1200) + sqrt(12)).\nAnswer: sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 2*d + 2. Let u(a) = -21*a**2 + 7 + 15*a - 26*a + 4. Give 22*r(x) - 4*u(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230204690.\nAnswer: 2, 5, 23020469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9)\/g**(2\/5))\/(g*g**10)**(7\/3) assuming g is positive.\nAnswer: g**(-1183\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-20)\/(-12) - 0) - 0. Let t = -6 - -5.6. Put t, o, -5 in descending order.\nAnswer: o, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-6) - (-49)\/(-105). Let r = t + -11\/30. Let i be (-663)\/468 + (-5)\/(-3). Which is the nearest to r? (a) i (b) 0.5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -23. Let y = l + 3.67. Let b = -2.67 + y. What is the closest to -0.1 in -2, -4, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 80*s - 414. What is the remainder when b(6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/54*61\/(5490\/(-405)))\/((-8)\/948)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 2 - (6 - (8 - 12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 6, r: 6}. What is prob of picking 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 816635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**7\/12600 + o**6\/720 - 79*o**4\/12 - o - 26. Let v(h) be the third derivative of f(h). Find b, given that v(b) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 23\/1968744?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 68 - 16. Let g = t - -34. What is the tens digit of (792\/(-60))\/(g\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27425 and 85530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 27858, 56401, 84962, 113547, 142162, 170813?\n\"Answer: i**3 + 3*i**2 + 28527*i - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -443.6103 less than -738?\nAnswer: -294.3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + 0 + 1 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -41. Let q(l) = 4 - 3*l + s*l - 1 + 14. Is 6 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 56*b - 1. Let n(t) = 115*t**2. What is d(n(w))?\nAnswer: 6440*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1188927*w**2 + 6697818*w.\nAnswer: 2377854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 4*h + 3. Let b be d(-1). Suppose 3*w + p = -0*w + 82, 0 = -5*w + 3*p + 118. Let m = w + b. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -405488\/27 + 15016. Calculate the common denominator of z and 73\/201.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73889815 less than 73889805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61892266.\nAnswer: 2, 631, 49043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1916 + 3108 = 3*g - 4*v, -5*g = -3*v - 8355. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*x + 40, 5*x + 4*d - 37 - 2 = 0. Calculate the smallest common multiple of 2 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2651974 (base 13) to base 9.\nAnswer: -24562267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1732, 1000?\nAnswer: -1732","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*z = -18, -5*r = -171*z + 169*z - 11. Solve b - 7 = -4*o + 4*b, -2*b - r = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2040 (base 10) to base 11.\nAnswer: -1595","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3157 - 3110. Calculate the remainder when 61051 is divided by o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -209, -222, -239?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 182052 and 5446.\nAnswer: 1274364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374207367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 999228103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599*p + 808*p - 839*p - 563*p.\nAnswer: -2193*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27 + -1)*6\/(-4)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258735394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3678*p**3 + 745?\nAnswer: -11034*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/17))**(12\/19)*(d\/(d*d\/(d**(-34)\/d)))\/d**(-24) assuming d is positive.\nAnswer: d**(-3888\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-6)*h*h**(-5\/3))\/(((h\/(h\/(h\/(h\/(h\/h**6)))*h)*h)\/h)\/(h*h**3*h)))**(-17))**(3\/7) assuming h is positive.\nAnswer: h**(-272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 207.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29266702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117084*r + 116871*r - 7881 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/27)\/g)**(1\/29)\/(g**(-16)\/g**(-20)) assuming g is positive.\nAnswer: g**(-109\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 42 = 2*r, -3*x + 106 = 4*r. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1459, -3441, -6747, -11383, -17355, -24669, -33331?\n\"Answer: -k**3 - 656*k**2 - 7*k - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 43759 times 0.6\nAnswer: 26255.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1075572.\nAnswer: 2, 3, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgogfsufgsgfsgg. Give prob of sequence gf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1126, -1116, -1106?\nAnswer: -1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178536609239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202323333 (base 5) in base 13?\nAnswer: 22ab44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4664 is divided by 346.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from rbrbxcrr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 338, 5.\nAnswer: -1, 0, 5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 2. Let a(i) be the first derivative of -i**3\/3 + 6*i - 4. Let s be a(0). Calculate the remainder when 39 is divided by o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -16. Let l = 3 - w. Suppose -19 + 3 = -l*s. Solve -3*t = s*i + 14, -3*t - 10 = 2*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 867*u**5\/8 - 427941*u**4\/8 + 4653651*u**3 - 120942687*u**2 + 429630030*u - 411866106 = 0.\nAnswer: 2, 838\/17, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-1 - (-21)\/14). What are the prime factors of 5742\/k - ((-156)\/(-30) - 6)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004609974 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 3*x = -46103, -5*c + 4*x = -230504. Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 + -110. Suppose f*p = 2*g + 86, 5*p + g - 77 = 88. What is the greatest common factor of p and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75103893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-432)\/(-56))\/9)\/((-15)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 88*g - 875. Calculate q(35).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 0.2, -1\/3, 1.29212?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + 3. Let v be (-27)\/36 - x\/(-8). Find the second derivative of f + 3*f + 3*f**3 - 2*f + v*f wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/55 and -47\/168890?\nAnswer: 1857790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/6*u + 1\/6*u**2.\nAnswer: u*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*b + 221 - 155 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27782399083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3123 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12507.14496 less than -0.0021?\nAnswer: -12507.14706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from ttunuuututututtttaa?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 27 = 4*x - 3*d, 5*x = -2*d + 73. List the prime factors of (-181656)\/(-135) - 9\/x.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98 > -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7688589 seconds in minutes?\nAnswer: 0.012814315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -5*v**6\/12 - 5*v**5\/12 - 29*v**4\/24 - v**3\/3 + 12*v**2 + 65. What is the second derivative of h(f) wrt f?\nAnswer: -300*f - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**2\/2 - o + 11. Let t be u(-1). Which is the nearest to t? (a) 2 (b) -1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3628550 is divided by 201583.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)*k)**(-12)*k\/k**(-13)*k**(-2\/35)\/k*k assuming k is positive.\nAnswer: k**(451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l*l*l*l*l*l\/l**(6\/13)*l)\/l)\/l*l**18\/l assuming l is positive.\nAnswer: l**(306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 1 + 5. Solve -t = -r*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360159, 360081, 360009, 359949, 359907, 359889?\nAnswer: 359901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5773941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1945 and 285?\nAnswer: 110865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71229 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 46. Suppose q*f - 5*f = -2*f. Suppose 14*o + 8 + 48 = 0. Which is the second smallest value? (a) -0.2 (b) -1\/8 (c) o (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (1 + (2*sqrt(288) - sqrt(288)))) + sqrt(288) + sqrt(288) - (2 + 1 + sqrt(288))**2) + -4.\nAnswer: -302 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 90. What is the remainder when t is divided by (26\/(-6))\/((-11 + 40)\/(-261))?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 10:54 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -988715399*f**2 + 99810457 wrt f.\nAnswer: -1977430798*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1254 - -1275. Suppose 2*q - 4 = -0. Suppose -83 = -3*v + 5*r, -q*r = -v + 3*r + b. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597, -1292, -2083, -2970, -3953, -5032?\nAnswer: -6207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-5))\/((-165074)\/70). Let a = k - -1544657\/212238. Calculate the common denominator of 3\/16 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = -2*f + 5*d, 2*d - 4 = 0. Let y(j) = -2*j + 10. Does 4 divide y(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3011 + 3011 + 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r - 4. Calculate m(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 885448156 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 19\/4 - (-1)\/4. Let c(x) = x + 4 - 2*x - 3 - 3. Let q be c(-6). Solve q*b + 4 = n*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8168.14l?\nAnswer: 8168140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 245 + -161. What is the hundreds digit of (118\/(-7))\/((-12)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 9*a. Solve a = -2*u + g - 3 - 0, -3*g = -u + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 10, 59, 126?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1006151*f**3 - 29*f**2 + 29*f**2 + 1006185*f**3.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1701) + sqrt(1701))\/(sqrt(3) - 2*sqrt(9)\/sqrt(3)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 189?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 - 2*w**3 + 5*w - 21. What is the remainder when 8 is divided by i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**2 - 2704 + 459 + 4*y**2 + 1341.\nAnswer: 4*y**2 - 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-120)\/(-18))\/(4\/6). Suppose u = -0*y + 5*y. Let o be 7\/2*(-28)\/(-49). Solve -o*z + 10 - y = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from ryrjjrkr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxbb. What is prob of sequence xxb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xev. Give prob of sequence ev.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.43 take away -0.3?\nAnswer: -18.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72524, -72543, -72582, -72647, -72744, -72879, -73058, -73287?\nAnswer: -73572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93553*n - 2*n**3 + 93553*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**4 + 2*i**4 + 0*i**4 + i wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 891*i**2*p - 29*i**2*r**2 - 2*i**2*r + 2*i**2 + 26*i*p*r**2 - 43*i*p*r - 6*p + 5573*r**2 wrt r.\nAnswer: -58*i**2 + 52*i*p + 11146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3907256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3 - 1, 2*g + c - 4122 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/3604736 and 119\/96?\nAnswer: 10814208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 5*z**2)*(-3 + 0 - 4)*(4 + 0 + 11).\nAnswer: 525*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 - (6 + 21 + -46 - -3).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 326 + -322. Let i = 10 - -5. Suppose a*g + 39 = i. Which is smaller: -13 or g?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245454, -245460, -245470, -245484, -245502, -245524?\nAnswer: -245550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -895 + 899. Let o = -7 - -3. What is the second smallest value in 0.2, n, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/7 + 25210\/35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2120311013 (base 5) to base 6\nAnswer: -235355122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/495 and -47\/45450?\nAnswer: 499950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in millimeters?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -690, -1402, -2114?\n\"Answer: -712*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 0.4 (c) 2\/11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4*2*sqrt(396)*-1 + 6*sqrt(396)*-2 + 2*(sqrt(396) + 0 + sqrt(396) + sqrt(396))))**2.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211152 and 5222832?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29765 is divided by 114.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = u - i + 3, 2*u + 2*i = -2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = 4*f + 28*u + 5, -f = 5*u + 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 437 + -431. What is the remainder when 179 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64309, -128648, -193019, -257422?\n\"Answer: -16*h**2 - 64291*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69154537.48 rounded to the nearest ten thousand?\nAnswer: -69150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1253 - 1194. Calculate the remainder when 188 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 1:50 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208169 is divided by 1016?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -12*j**3 + 54*j**2 - 195*j - 12. Let r(o) = -15*o**3 + 52*o**2 - 196*o - 16. Let t(h) = 4*d(h) - 3*r(h). Factor t(k).\nAnswer: -3*k*(k - 16)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-4)\/i)\/i**(2\/11))\/(i**(-1\/2))**(-24))\/((i**(1\/9)\/i)\/(i**(-7)*i))**(-49) assuming i is positive.\nAnswer: i**(23093\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4694.011024 + -4694. What is y rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s = -6*s - 2200. What is the greatest common factor of s and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 5*k + 4. Let n be v(1). Solve n = 6*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/190 + (3 - 9593\/(-19)). Calculate the greatest common divisor of 635 and h.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1117*w**6 + 2*w**2 + 288 wrt w.\nAnswer: 134040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(1694))\/sqrt(2) + -5 + ((sqrt(175)*-1)**2 - (sqrt(448) + -1))*4.\nAnswer: 12*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 327700 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 117004620 smaller than 117004620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 1 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*p**2 + 1260*p**3 + 324*p**2 + 213*p**5 - 698*p**4 + 2364*p**4 + 32*p + 130*p**5.\nAnswer: p*(p + 4)*(7*p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 8*w**2 + w + 10. Let i be x(-8). Suppose -5*c - 2*d = -i*c - 8161, 0 = 2*d - 4. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 166, 163, 150, 121, 70, -9?\n\"Answer: -r**3 + r**2 + r + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(((-8)\/6)\/(-4)). Let a be -1 - (-6)\/j - -2. Factor -2\/3 + 7\/3*b**4 + 3*b - 3*b**3 - a*b**2.\nAnswer: (b - 1)**2*(b + 1)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9 - 0.9. Let d = 3.5 - x. Let v = 18 + -35\/2. Which is the third smallest value? (a) v (b) d (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1888 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 28*i + 135. Suppose 2*s + 12 = g, -21 = -4*g - 12*s + 11*s. Let j be x(g). Solve -4*r - 2 = -j*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198.5 + -198. Which is the second smallest value? (a) d (b) -21 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301628, -603251, -904868, -1206479?\nAnswer: -1508084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 - (1 + 14 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -389877672 divided by -89?\nAnswer: 4380648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w\/w**(-2\/7)*w**(-2))**(-7))**(-32))**(-12\/11) assuming w is positive.\nAnswer: w**(-3456\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:13 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 4*x + 1. Let l = -40 + 34. Calculate f(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**6 + 1529*i**3 - 4*i**2 + 33?\nAnswer: 120*i**3 + 9174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947764596?\nAnswer: 2, 3, 78980383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**7\/735 + j**6\/420 - 2*j**5\/35 + 331*j**2. Find r, given that g(r) = 0.\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 27*m**2 - 23*m + 18. Give y(-26).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -88. Is 1\/(d\/(-35)) + 25088 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 593 - 140 - 174 - 137 - 142.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -130*g - 266. Let h(b) = 65*b + 130. Let n(l) = -4*f(l) - 9*h(l). What is the first derivative of n(p) wrt p?\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:41 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let f = -29 + 33. Suppose -3*l = -2*l - 5*c - 5, -f*c = 2*l + 4. Solve -w + r - 6 = l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 6*t - 3*t + 2*t + 7 - t.\nAnswer: 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10536*k**2 + 3*k + 11331 wrt k.\nAnswer: 21072*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1118694 is divided by 2861.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29340, -29337, -29332, -29325, -29316, -29305?\n\"Answer: s**2 - 29341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-348)\/754)\/((-3)\/104).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -59 - 53 - o + 124. Determine r(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:59 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.025251 to five decimal places.\nAnswer: -0.02525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206 is divided by 395?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/8 + 711*b**2 - 28471*b\/8 - 17079\/4.\nAnswer: (b - 6)*(b + 1)*(b + 5693)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 98491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 10*d + 3. Let g be y(-10). Solve r + q = -4*q, 0 = r + g*q for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.12 (b) 1 (c) 19 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 264?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76348555 to the nearest integer?\nAnswer: 8738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 4128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - 4.8. What is the smallest value in 0.1, -2\/5, o, 5\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 56, 55, 4, -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1354028263*t - 566098850.\nAnswer: 1354028263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r = 6. Suppose -5*p - d - 1 = 1, -5*p = -r*d - 6. Suppose -u + 3*u - 14 = p. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/sqrt(3)*-2 - (sqrt(605) + 1*sqrt(605))) + (sqrt(400)\/(-2*sqrt(10)))\/(sqrt(8)*-1*-4))**2 + 1.\nAnswer: 186309\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 10. Suppose -x*l + 16 = d + 2, -4*l + 8 = -4*d. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + j**2 - j**2)*(5*j - 2*j - 2*j)*(0 - 1 + 2) to the form h + d*j**3 + o*j + t*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*m**4 + 2627*m**2 - 46425.\nAnswer: 60*m**3 + 5254*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 87*f - 1405. What is the remainder when d(19) is divided by 71?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 636.8*0.2\nAnswer: 127.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**10\/604800 - v**8\/26880 - v**7\/10080 + 3*v**5\/20 - 4*v**2. Let k(a) be the third derivative of t(a). Factor k(o).\nAnswer: o*(o - 2)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/502 and 2743 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17087 plus 0.3?\nAnswer: 17087.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (401 - 417) + 22\/(132\/(-126))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (18\/(-3))\/((-420)\/1750).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013\/(708\/59 + (-11 - 0)) is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5 - 4 - 5*u - 1. Let x(d) = -d + 4*d - d. Determine r(x(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, -2 in descending order.\nAnswer: 4, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -520, -948, -1548, -2320, -3264?\nAnswer: -4380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.1 - -28.9. Let p = -37.15 + c. Round p to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t + 35. Calculate v(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13308.98256 rounded to the nearest integer?\nAnswer: -13309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 9*x - 298. Determine o(13).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9238104.3 to the nearest 1000.\nAnswer: 9238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1981724 and 1981713 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, -27, 0, -4, 2\/703 in descending order.\nAnswer: 2, 2\/703, 0, -0.2, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2*t + 4 = 0, -z - 4*t - 309 = -317 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, d: 11}. Give prob of sequence mdm.\nAnswer: 308\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 28 = -5*i, -4*i - 5*y + 2*y + 4 = 0. Solve -3*x = i*h + 27, -5*h - 20 = x - 0*h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 5*u + 6. Let h be q(4). Suppose -3*b = -5*z - 12, 5*z - 20 = -5*b + z. Suppose h*t = b + 6. Solve 2 = 3*o + 4*j - 5, -20 = -t*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 953, -1, 5, -8, 0 in descending order.\nAnswer: 953, 5, 0, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5756 + 11506 - 2*k - 5733. Let r be 3*(-3 + 23\/3). Let t(c) = c - 8. Give r*t(p) + 6*x(p).\nAnswer: 2*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -37, 3, 5, 4, 0 in descending order.\nAnswer: 5, 4, 3, 2, 0, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 12, -2 in descending order.\nAnswer: 12, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g)*(-4*g**3 + 3*g**3 + 2*g**3) + 4*g**4 - g**4 - 2*g**4 + (-5*g**3 + 3*g**3 - 8*g**3)*(2*g + 2 - 2).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11162, -22318, -33472, -44624, -55774, -66922, -78068?\nAnswer: -89212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369879 is divided by 12754.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24643728 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/(-17)*(-14)\/(-10920)*12\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.068, 17, 1\/6 in descending order.\nAnswer: 17, 4, 3, 1\/6, 0.068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 76*y**3 + y**2 + 5*y - 5. What is d(1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*t**5 + 166*t**4 - 3*t**3 + 45616*t + 16 wrt t.\nAnswer: 240*t**3 + 1992*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(42\/5)\/(f**(-7)\/(f*f**(-6)))*((((f*f**(-2)*f)\/f)\/f)\/f**(-6))\/((f\/f**0)\/(f\/f**(-7))) assuming f is positive.\nAnswer: f**(93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 3*w - 4. Let j be b(6). Let q = j + -12. Suppose 36 = q*l - 0*l. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 40. Suppose -14*k + 17 + 39 = g. Factor 3*s**3 + 5*s**4 - 10*s - 5 + s**k + 7*s**3 - s**4.\nAnswer: 5*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 11677067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**8*r)\/((r**(-3)\/r*r)\/r*r))\/(r*(((((((r\/(r\/r**1))\/r*r)\/r)\/r)\/r)\/r)\/r)\/r*r**9))\/((r**(-2\/3))**(-37)\/(r*r**(-1))**(-18)) assuming r is positive.\nAnswer: r**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (-4 + 1) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/5*(-310)\/(-217)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78 greater than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - r - 8*r. Let b(h) = -h - 1. Let g be b(-3). Let t(l) = l**g + 81 - 81. Calculate t(a(q)).\nAnswer: 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742293904 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: Is 64925 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -833, -1959, -3081, -4199?\n\"Answer: 2*y**2 - 1132*y + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (131 + (78 - 151))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1802 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)*4\/(-1). Let c = -8 - -13. Suppose -4*j + 40 = -c*f, j - 3*j = 5*f + 10. Put u, f, 1 in decreasing order.\nAnswer: u, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6203, 2, -19 in decreasing order.\nAnswer: 2, -5, -19, -6203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 1059*l**2 + 97053*l + 628509.\nAnswer: 3*(l + 7)*(l + 173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 + 254930*f - 254930*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3\/2*o**2 + 1\/12*o**4 + 0 - 2\/3*o**3 + o. Let k(l) = 3*l - 2. Let b be -6 + 42\/154*11. Give b*k(h) - 2*t(h).\nAnswer: -2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 41*t + 282. What is the hundreds digit of p(-47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.4, 8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3302?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 13*z + 3. Let b be t(-13). Solve -x - 11 = -2*m - 1, b*m = -2*x + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22313 - -1?\nAnswer: 22320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -42304951?\nAnswer: 42304947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 1, v: 2, o: 2, w: 1}. Give prob of sequence udo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixteenths of a day?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4823772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065050 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*j - 6. What is the tens digit of (-14 - -2)\/(((-3)\/j)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (3 - (-6 + 12)) + -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -27 - (104 - 82)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(17)) - sqrt(17)) + (sqrt(17) - (-2 + sqrt(17))*-3) + (5 + (-1 + sqrt(612))*6)**2.\nAnswer: -71*sqrt(17) + 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81429 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 3*c + 52. Let m be c*(3 - (1 + 1)). Suppose m = 3*u - 11. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 4\/7, -7, 120?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eotde. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/4*i**3 + 87\/4 + 119\/4*i + 33\/4*i**2 = 0.\nAnswer: -29, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6899998*h + 4. Let w be l(-2). What is w rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, 1\/4919, -11, -1\/4, 0.07?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 11:36 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.3 (c) -7\/4 (d) -68 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13104180 divided by 18?\nAnswer: -728010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/17291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h - 6. Suppose -1596 = 4*a + 3*j + h*j, -1196 = 3*a + 4*j. Let y = a + -76. What is y rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*r - l = 219*r + 397, 11 - 2 = -2*r + l - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f**2 + 0*f**2 - 3*f**2)*(f - 42 + 13 + 14) + (6*f - 2*f + 8*f)*(3*f**2 - 3*f**2 + 2*f**2) as s*f**2 + w*f + x*f**3 + b and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 527800 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1568) - (3*(sqrt(1568) - 3*sqrt(1568)) + sqrt(1568))) + -4)**2*4.\nAnswer: -10752*sqrt(2) + 903232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4723*z + 6132*z + 10713*z.\nAnswer: 12122*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 17*f**2 + 17*f**2 - 3*f + 2*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 11. Give c(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 106 = 52 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -56769 + 13*r + 6*r**2 + 56769 + r**2. Let w(x) = 3*x**2 + 6*x. Suppose -3*p = 2*l + 19, 5*p + 2 = l - 8. Give l*w(u) + 2*k(u).\nAnswer: -u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 684 and 5044?\nAnswer: 862524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443576780 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 12. Let s be w(10). Suppose 5*r = -s + 117. Calculate the remainder when (2 - (-16)\/(-5))*-35 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 7*l**2 - 5*l - 10. Let p be c(6). What is the units digit of 568\/22 - p\/22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 1, w: 3, p: 4, q: 2, c: 3}. What is prob of picking 3 p?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -37*r + 75. Is o(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 15*a + 12. Suppose -a = 4*u, -3*u = 2*y - 30 - 21. What is the highest common factor of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8349*t + 15*t**2 + 11*t**2 - 8349*t.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (12 + -9)) + (-2 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256441048 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 272943237*o**3 + 160169151*o**2 wrt o.\nAnswer: 1637659422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 - 333*l**2 - 8055*l - 5474. What is a(188)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from mmmsmsmsmsmsm?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 875951 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 792216 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4186?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 1 - sqrt(931))**2 - (1 + sqrt(76))**2) + (2*(-1*sqrt(133) + sqrt(133)))\/sqrt(7).\nAnswer: -76 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7342564266?\nAnswer: 2, 3, 61, 613, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 27 = -3*h, 15*q + 13*h - 9*h + 65 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1400 and 13\/14900060.\nAnswer: 149000600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -6.99?\nAnswer: 2.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let l(h) = 446*h**2 + 17. What is x(l(v))?\nAnswer: 397832*v**4 + 30328*v**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 165041 and -69.36?\nAnswer: 165110.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44491 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-2*sqrt(147) + 1 - sqrt(147))*4 + 4 + 4*(sqrt(147) + -2*sqrt(147) + 0))*6)**2.\nAnswer: -129024*sqrt(3) + 5421312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3515*g = -3491*g + 648 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 2*l**2 + l**3 - 3*l**2 + 2*l**2. Suppose 0 = -4*y + y - 3, p - 14 = 4*y. Let k(i) = 4*i - 38. Let o be k(p). Determine g(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 + 1)*(j**5 - 6*j**3 - 2*j**5 + 3*j**3 - 2*j**4).\nAnswer: 13*j**5 + 26*j**4 + 39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + (-6)\/(-9)*-9)*(-5487)\/(-1770).\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -21234?\nAnswer: 21235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 5. Let v be a(6). Let s(u) = 7*u - 6. Is s(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17052*g**2 - 17043*g**2 + 34118*g**2.\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = -6*h + 31*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 12*h - 10. Let y(l) = -5*l**2 - 37*l + 29. Let a(x) = 11*t(x) + 4*y(x). What is the hundreds digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*i + 2*p, -5*i + p - 6*p = -30. Let c(l) = -3*l**2 - 7*l + 7. Let v(d) = 5*d**2 + 13*d - 13. Let z(o) = 7*c(o) + 4*v(o). Give z(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcj when three letters picked without replacement from {c: 4, r: 3, j: 11}.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/(-10) - 5)*-54. What is the greatest common factor of 39 and q?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + g = 1338, 1533 + 461 = 3*n - 5*g. Let f = n + -664. Suppose -5*j = 11 - 1. Put f, 1, -3, j in decreasing order.\nAnswer: f, 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**4 - 12*d**4 + 2 + 17*d**4 + (-3*d + 6*d - d)*(d**2 - d**2 - 2*d**3) to f*d**3 + m*d + a*d**2 + i*d**4 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-36)\/90)\/(10\/3525))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/17 - 4*x**2\/17 - 38*x\/17 + 40\/17.\nAnswer: 2*(x - 5)*(x - 1)*(x + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -13.98.\nAnswer: -13.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 2320, 8495, 20936, 41833, 73376, 117755?\nAnswer: 177160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, 388, 2003, 4262, 7165?\nAnswer: 10712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11996716 is divided by 2909.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-16))\/((-11)\/22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131809393?\nAnswer: 131809393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**7*((i\/(i**4\/i))\/i)\/i*i*(i*i\/(i**1\/i))**(1\/18) assuming i is positive.\nAnswer: i**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*(2*-5*2*sqrt(475) + 4))**2.\nAnswer: -12800*sqrt(19) + 3040256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11210, 22405, 33600?\n\"Answer: 11195*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 4140 = -27*q. What is the greatest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 17793960*u - 26385417706800.\nAnswer: -3*(u + 2965660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2498622, 2498627, 2498636, 2498649?\nAnswer: 2498666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397398709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77 or 145689\/1877?\nAnswer: 145689\/1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0. Let y = 53 - 58. What is the third biggest value in y, h, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) -2 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 2, -656868?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -8, 0.05, 12?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/(-4) + (-285)\/19 - (-165)\/(-2). Let y be -2 + (-68 - -2 - 1). Let d = -149 - y. Is d < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -2791*m**5\/15 + 4705*m**3\/6 - 569*m**2 - 3*m. What is the first derivative of q(t) wrt t?\nAnswer: -22328*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 16709*k**2. Let s(p) = -15*p**2. Determine s(h(b)).\nAnswer: -4187860215*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17018 divided by -127\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1, -4, -2, 0.1, 3 in decreasing order.\nAnswer: 60, 3, 0.1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64126145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.465 + 9.465. Which is the third smallest value? (a) 2\/77 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*d**3 - 402*d**2 + 720*d.\nAnswer: 3*d*(d - 10)*(11*d - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*q + 29 + 12, -3*a + 36 = 5*q. What is the greatest common factor of 28 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15840 - 12231. Is 162 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*20\/(-5). Let u = -20 - -23. Suppose 2*q - g = -i*g + 87, 4*q = -u*g + 173. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/26880 - g**7\/5040 + g**6\/2880 - g**4\/8 + 4*g**2. Let q(y) be the second derivative of r(y). Factor q(j).\nAnswer: j*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 + -4 - (-2 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:17 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*r = 89*r - 12. Let b(i) be the third derivative of i**4\/24 + 2*i**3\/3 - i**2. Let a be b(4). Calculate the highest common factor of r and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -0.3, 0.4, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -979, -2222, -3727, -5500, -7547, -9874, -12487, -15392?\n\"Answer: -w**3 - 125*w**2 - 861*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 403 + 238*u**2 + 81*u**2 - 319*u**2.\nAnswer: -u**3 + 403","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -424320?\nAnswer: -424311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 6*r. Let u be i(5). Sort 1, -12, u.\nAnswer: -12, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.7 times -10800.3\nAnswer: -72362.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57871070 to the nearest integer?\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.29 - -0.075. Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 - -4566?\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 808?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 5, -5, 4.\nAnswer: -5, 4, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48344 and 26419996.\nAnswer: 52839992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 12:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -131\nAnswer: 103\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2796797*m**4 - 5171753*m wrt m?\nAnswer: 33561564*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f - 255 = -3585. Calculate the remainder when f is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 2*h - 1. Suppose 6*i = i - 35. Let s(c) be the first derivative of 3*c**3 + 5*c**2\/2 - 3*c - 732. What is i*r(j) + 3*s(j)?\nAnswer: -j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -73*i + 74*i. Suppose i = 14*g + 3*g - 44047. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -183. Solve -4*i = 5*b - h - 0, -2*i = -2*b - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**0\/g))*g*g)**(36\/7))**(3\/22) assuming g is positive.\nAnswer: g**(54\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9))**(-7\/2)*(s**(-2\/7)*s)**(-38) assuming s is positive.\nAnswer: s**(-1759\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3237899 - 0?\nAnswer: 3237899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 4a03b850?\nAnswer: -4a03b855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -3413, -7795, -13929, -21815, -31453, -42843?\nAnswer: -55985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 133188 divided by -171\nAnswer: -44396\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x + 15 = 0. Let p = x - -1. Suppose -32 = 5*i + 3*y, 37 = -i - 8*y + 4*y. Put 1, -5, p, i in increasing order.\nAnswer: -5, i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-90)\/(-11) + 10\/(-55). Let u = 459 - o. What are the prime factors of u?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*k + 16 = -35, 2*f + 4*k - 90 = 0. Is f greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 + 597227*v**4\/2 - 4777803*v**3\/4 + 1791675*v**2\/2 = 0. Calculate v.\nAnswer: 0, 1, 3, 1194450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 98 and 74842.\nAnswer: 74940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*((-3*j + j + 0*j)*(6 + 5 - 2)*(-j + 3*j + 2*j - j - 3 + 3 + (3 + 3 - 4)*(5*j - 2*j - j)) + (0 - 2 + 3)*(-3*j + 3*j - 2*j**2)).\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.9 - -46. Which is the third biggest value? (a) -0.2 (b) -4 (c) -2\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((21 - 4) + -5 + -1 + -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 235?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219605 tonnes in micrograms?\nAnswer: 21960500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 300 = 5*m + 2155, m + 492 = -g. Sort -5, m, 5, 3.\nAnswer: m, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:29 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**3*x**3 + 3*t**3*x**2 + 909*t**3*x - t**3 - 2*t**2*x**2 + 2229*t**2*x + 13*t*x**3 + t*x**2 - x**2 wrt t.\nAnswer: 6*x**3 + 18*x**2 + 5454*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*a - 40. Suppose 4*m = 1 - 9. Let p be (a\/m)\/((-4)\/(-28)). What is the greatest common factor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1830 divided by -5?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 2\/3*a**4 + 1\/210*a**7 + 0 + 0*a**6 + 0*a**3 + 0*a**5 + 0*a + 7*a**2. What is the second derivative of z(j) wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66.06 and -6.\nAnswer: 396.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2102 (base 5) to base 6\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 6}. What is prob of picking 2 c and 1 o?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 1. Let z = 910 + -908. Let g = -5 + -1. Sort z, f, g in increasing order.\nAnswer: g, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*q = -30324 - 116276 + 17376. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 10*t - 3. Let u = -66 + 57. Determine o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + 7e5d9d?\nAnswer: 7e5db5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*d - 108*d - 103*d - 103*d + 405*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 + v - 3. Let l be k(4). Let d = l + -4. Is d at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g - 1. Let p(m) = 21*m + 2. Give -4*p(z) - 7*t(z).\nAnswer: -7*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -760 divided by -804.\nAnswer: 190\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264 at most as big as 8264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 + -2 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16763\/6 - 2793. Is -18 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*n**2 + 20*j**4*n - 3*j**3*t - j**2*n**2*t - j**2 + 7*n**2 - n wrt j.\nAnswer: -48*j*n**2 + 480*j*n - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*x + 6*x**2 - x - 3*x = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:54 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1527 + 4e?\nAnswer: -14d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 121 + 0*p + 0*p + 110 - 3*p. What is the hundreds digit of q(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - d - 4. Let p be -3 + (45\/(-30))\/(9\/(-30)). What is o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7)\/f**(3\/7))**(4\/15) assuming f is positive.\nAnswer: f**(-4\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6963379*b*g + 2*b + 41096276*g wrt b?\nAnswer: -6963379*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66.6 - -66.59999096. What is q rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**6 + 0 + 1\/70*l**7 + 194*l + 1\/6*l**3 + 7\/15*l**5 - 2*l**2 + 7\/12*l**4. Find the second derivative of k(i) wrt i.\nAnswer: 36*i**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o + 1 - 81*o + 15 + 38*o.\nAnswer: -o + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 45 = 5*n - 35, -33*o - n + 332 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 3:16 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2270\/37717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -986, -1736, -2500, -3284, -4094, -4936?\n\"Answer: -l**3 - l**2 - 740*l - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372855140.29 - 0?\nAnswer: 5372855140.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15388*c**6*m**2 - 7*c**3*m**2 - 28306*c**2*m**2 - 2*c**2*m wrt c.\nAnswer: 1846560*c**3*m**2 - 42*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5 + 8*a**2 - 7*a**2 + (-6 - 37*a + 66*a - 40*a)*(a + 2*a + 0*a).\nAnswer: -32*a**2 - 18*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:22 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951472953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(18\/5))**(2\/61)\/(s*s*s*s\/(s*s**(-2\/21))*s)**(9\/5) assuming s is positive.\nAnswer: s**(-15486\/2135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 579214*q + 395165243 wrt q?\nAnswer: 579214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2\/2 + 6. What is l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2734566908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2397503008 to the nearest integer?\nAnswer: 48964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*g + 7. Suppose 0*c = g*c. What are the prime factors of 6 + 0\/(c - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/(-8) - 7\/(-28). Suppose c*y = -4*k + 3*y + 928, 3*k = 5*y + 661. List the prime factors of k.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 5*r - 8*r - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 30, 70, 144, 264, 442, 690?\nAnswer: 1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -27*b**3 - 463*b**2 + 74*b + 2425. Determine w(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = w + 240. Let d be -35*1*(w - 32). Suppose -g = g - d. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 290860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5\/3 + m**4 + 10*m**3\/3 - 8*m**2 = 0. What is m?\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -126*o**3 + 540*o**2 + 1496*o - 1200 = 0. What is o?\nAnswer: -50\/21, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1666*p**2 + 1. Let f(m) = -2*m. Determine a(f(s)).\nAnswer: 6664*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.5. Let m = -62276.43 + 62276.9299991. Let n = g + m. Round n to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.2, 34, -14, 0.073, 159 in descending order.\nAnswer: 159, 34, 1\/3, 0.073, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 75 - 19 = -4*r, 4*o - 80 = -4*r. Let g = 42 - r. Let v = g - 18. Do v and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201\/2 - 1007\/10. Sort -0.1, -5, v, -2\/33 in decreasing order.\nAnswer: -2\/33, -0.1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d\/(d\/((d\/d**(-7\/5))\/d))*d\/d**10*d\/d**(-5))**(-3\/49) assuming d is positive.\nAnswer: d**(81\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 366 - -5?\nAnswer: 36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*w - 2688 = 184*w. Solve i - 25*i = -w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 33*k + 34. Let i be x(-1). Solve -i*r + r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54115*l**3*m - l*m**3 + 36447*m**3 + m wrt l.\nAnswer: -162345*l**2*m - m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4 = -2*u, -4*u + 164*d + 14 = 163*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqqzzqqqqqzqcqzzq. Give prob of picking 1 z and 1 q.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201 - -342. Let n = 53 + j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.9 - -116. Suppose -4*o + 95 = -3*x, 2*x - 3*x - 29 = -2*o. Is x <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 40 = 0. Calculate the common denominator of 87\/2 and ((-316)\/20)\/((-24)\/t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1717 * 74\nAnswer: 127058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**3 - 1851*s**2 - 21794*s wrt s.\nAnswer: 24*s - 3702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -10*d - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*z - 4*z - 20*z + 2051 = -1690 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6f (base 16) to base 11\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 + 0*i**3 - i**4)*(-1 + 4 - 1)*(-4 - 4 + 2).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -113.2 + 113.3. Put 0.4, -0.5, r, -5 in ascending order.\nAnswer: -5, -0.5, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098231354?\nAnswer: 2, 3, 11, 5546623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**3 - 7*a**2 + 4*a - 6. Let b(f) = f**2 + 2*f - 2. Let u(x) = x**3 - 3*x**2 - 9*x + 9. Let s(g) = -4*b(g) - u(g). Give i(j) - 6*s(j).\nAnswer: 3*j**3 - j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2625 and 448350?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33584*d + 5560*d + 7 + 14695*d - 45362*d.\nAnswer: -58691*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/52)\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.87552223 rounded to 3 dps?\nAnswer: 89.876","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.813476 centimeters?\nAnswer: 0.00007813476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*b**5*v - 5*b**3*v - 36*b**2*v - 2*b**2 - v wrt b.\nAnswer: -960*b**2*v - 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342 - -345. Let c(r) = -13*r**3 + r**2. Let g(u) = 13*u**3 - u**2. What is k*g(j) + 2*c(j)?\nAnswer: 13*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.152979.\nAnswer: -0.152979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 + 3*a**4 - 3*a**4 + (-1 + 6 + 0)*(-3*a + 3*a + 5*a**4).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4342142511 to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28486 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.68 - 1. Let z = i + -0.06. Round z to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 195, -26, -4, -2 in descending order.\nAnswer: 195, -2, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 735335203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-22)\/(-8) + 3\/12. Suppose j - r - 22 = 0. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d**4 - d**3 + 73*d**2 wrt d.\nAnswer: -168*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 71 + 100 = 0. Let x(f) = -f**2 - 10*f - 10 + 2 - s + 5. Calculate x(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let p = -628717 + 628709. Let i be 3*1\/(6\/8). Suppose 3*q - 5 = -i*r, 7*r - 4*r + 4*q = 9. Let m(a) = -6*a + 10. Calculate p*o(z) + r*m(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:45 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.5 and 9285899.8.\nAnswer: 9285901.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/5 + d**4 + 16*d**3\/5 - 68*d**2\/5 + 48*d\/5 = 0. What is d?\nAnswer: -4, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 3*h**2 + 3*h - 2. Let d be ((-12)\/(-10))\/((-6)\/(-140)). Let o be 2\/7 + 440\/d. Suppose 2 = q, 4*b - o = 2*q - 36. What is s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 302.8 + -303. Sort 1\/7, -1, x in decreasing order.\nAnswer: 1\/7, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 4) + ((-10 - -11) + -15 - -5) + 71?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -594*l + 7117. What is k(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let p(z) = -z**2 + 40*z - 33. Let q be p(39). Suppose -4*f = -b - 39 + 22, 0 = -3*b - 3*f - q. Sort b, -7, i.\nAnswer: -7, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p - 204 = -5*q, 0 = 4*q + 5*p - 196. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 11 = -7*b. Let v(u) = -8*u - 33. What is the least common multiple of 5 and v(b)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -27985.\nAnswer: -3\/27985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b. Let o(s) = -5*s**3 - 2*s**2 - 2*s - 1. Let c be o(-1). Let d(u) = 5*u. What is c*a(x) - 3*d(x)?\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:42 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 8 + 2*a**2 + 10*a - a**3 - 4*a**2 - 3. Is g(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.26000125 - 0.26. Round z to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22\/(-4))\/((-2)\/4). Suppose 3*v - 27 = 2*v. Let l = v - o. Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**3 + 0*m + 3*m - 7*m**3 + 12 - 4*m to the form f*m + h*m**2 + p + s*m**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 19369?\nAnswer: -2\/19369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**7\/42 + 5*a**6\/24 + 3*a**5\/4 + 35*a**4\/24 + 5*a**3\/3 + 7*a**2. Factor p(t).\nAnswer: 5*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -5*p - 33 - 23, -2*p + 5*n - 19 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 + 6*d**4 - 2*d**4 + (d**2 - d**2 - d**2)*(-4*d + 4*d - 7*d**2))*(-4*d + d + 2*d).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 2*d - 4*d)*(-4*d + 0*d + 3*d) + 23*d + 2*d**2 - 23*d - 2)*(80*d + 80*d - 163*d).\nAnswer: -12*d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -3\/55 (c) 3 (d) -0.3 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 4. Let a(b) = -2*b**2 + 15*b - 7. Let g be a(6). Let n(q) = -q**3 + 9*q**2 + 21*q + 16. Let z be n(g). Give y(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601513730.\nAnswer: 2, 5, 60151373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.12 * 927.\nAnswer: 26994.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 124?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1349150 and 43\/2.\nAnswer: 1349150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 2989*j - 38877. What is v(13)?\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 0 + 4 + 207*h - h**3 + 0*h**4 - 6 - 212*h to the form v*h**4 + i*h + t*h**2 + p*h**3 + n and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(12)\/sqrt(6) + sqrt(128) + 5 - (4 + 1*sqrt(2)*2)*5.\nAnswer: -15 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 16*s + 437. Calculate the remainder when 1005 is divided by q(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -3) + 12 + -18 - 4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 846, 1739, 2632?\n\"Answer: 893*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 2*d + 4, -7*y + 9*y - 5*d = -28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/2002 and -99\/1820?\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 21\/(-4))\/(162\/(-6264))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20805 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 287321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 12*o + 16. Let g(l) = -2*l**2 - 11*l + 296. Let x be g(-15). Give m(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, y: 1}. What is prob of picking 1 y and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 7:06 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h + 0*h)*(-29*h**4 + 18*h**4 - 18*h**4).\nAnswer: -29*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 16*s - 125. Let n be h(8). Solve 20*z + 12 = 24*z - n*b, z + b = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 388911 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - -110100010110110101001?\nAnswer: 110100010110110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 89*f**5 + 19 - 484*f**3 + 3*f**2 + 484*f**3 wrt f?\nAnswer: -5340*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10950\/(-105) + 4\/14. Let z = j - -167. Let b = z - 41. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219253.\nAnswer: 233, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*m**3 + 5 + 5 - 34*m**3 - 14*m.\nAnswer: 76*m**3 - 14*m + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*d + 61*d - 618 = 566*d + 1125 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 313088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 56 = 10*y. Solve 2*h - 20 = -3*i - 9, 5*i = h + y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 60 = 4*q - 24, 0 = 5*s - 4*q + 27. Let r be (-46)\/14 + (-2)\/s. Let k be -2*(-17)\/r*15000. Round k to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13, -26, -27, -10, 31, 102, 209, 358?\n\"Answer: s**3 - 20*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 200 = -130. What is the units digit of f\/10 - (-9)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -151*r - 9411. Let d be u(-64). What is the greatest common factor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20385 - -7716?\nAnswer: 7715.79615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 604.\nAnswer: -66.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * -311540.\nAnswer: -22430880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9 + 18*x**2 + 5*x - 4*x + 5*x + x. Let l be i(2). Let n = 31 + l. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6285*v - 5. Let p = -16 + 25. Let b be ((-6)\/p - -1)*21. Let c be k(b). What is c rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) + 1*sqrt(900)*2)\/(5*(sqrt(12)*1 - sqrt(12)) + sqrt(1452)*-2).\nAnswer: -15*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -543823\/31 - -17541. Find the common denominator of 35\/23 and f.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370 = -2*s + 7*s - 4*r, -2415 = -5*s - 5*r. List the prime factors of s.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32929 or 0.219?\nAnswer: 32929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Suppose -y + 1 + 0 = 0. Let l(d) = p - y - d**2. Let b(h) = -h. What is l(b(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221161894.\nAnswer: 2, 110580947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -3 - (21 - (0 - -16))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus 0.8031?\nAnswer: -1.9031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let y be t\/((-4)\/(-1))*-14. Let x = y + 16. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/27260 and 99\/94?\nAnswer: 27260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.2 (c) -15.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-2)\/(-22) - -4. Let z be -5 + ((-36)\/(-16) - 6\/24). Which is the second biggest value? (a) g (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*t + i + 12, -4*i + 9 = t. Let b be (3 + -4)\/((-2)\/46). Suppose 3*g - a + 7 = -6, -3*g - b = 4*a. Put 5, g, t in increasing order.\nAnswer: g, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -36 (b) -3 (c) 1\/232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 2, s: 1}. What is prob of picking 1 k, 2 g, and 1 s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1295 and -38\/2499.\nAnswer: 462315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -337303 or -337302?\nAnswer: -337303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-12) + 3\/24*2. Sort 1, d, -3, 0.\nAnswer: -3, 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 2*v + 17*v - 56 + 97 + 109 to the form l + x*v and give l.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*q**3 + 679*q**2 - 3*q - 1052645?\nAnswer: 111*q**2 + 1358*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*w + 90*w + 1 = 4*m, 2*w = -5*m + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.0555nm to millimeters.\nAnswer: 0.0008300555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(0 - 6) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kah when three letters picked without replacement from {h: 1, a: 1, v: 8, k: 8}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515827 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/1242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63533322 to the power of 1\/3, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9673.\nAnswer: 17, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + o - 18 = -o, 0 = 2*o + 6. Let w be (-6)\/p + 270\/4. Suppose 3*y - 217 - w = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262730 divided by -20210?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2409101, -2409091, -2409069, -2409029, -2408965, -2408871, -2408741?\nAnswer: -2408569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 514 = -76. Suppose -t*r = -299*r + 3660. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -494, -1924, -3364, -4814, -6274, -7744?\n\"Answer: -5*l**2 - 1415*l + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * -571428\nAnswer: 1485712.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/8)\/((-92)\/(-2)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 183 = -9*a. Let v = 16 - 42. Let s = v + a. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*j + 106 = 0, -x - 4*x - 260 = 5*j. Let c = 571 + -646. Let a = x - c. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1554 by 4.\nAnswer: -777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4 + 1 = 0. Sort -4, -3, i.\nAnswer: i, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(4\/(-6)) + 34 + 18. Let w be o\/14*(-17*4)\/(-2). Let z = w + 70. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - (1 + sqrt(833))) + ((0 + sqrt(17))*4)**2 + 5 + (4 + (((sqrt(153)*-1 - sqrt(153) - sqrt(153))*2)\/sqrt(9))**2)*2.\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -425\/4636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1822 - -1821. Which is the second smallest value? (a) m (b) 3 (c) 25 (d) 0 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 328?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 > -3144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -21*o + 1\/12*o**4 - 25\/6*o**3 + 17\/2*o**2 + 0. Let j be g(24). Let q(m) = -m - 9. What is q(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342124623 by 3.\nAnswer: -114041541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1777 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819746 is divided by 5029.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7864?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b - 39 = -9*b - 4*k, -9 = -3*k. Let r(j) = j**3 + 8*j**2 - 7*j + 12. Calculate r(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iininbbi. Give prob of picking 1 n and 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -759\/10. Let p = 19.6 - 33. Let f = -13 - p. What is the second smallest value in f, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) - (-779)\/(-287). Let m(y) = -9*y - 3. Give m(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -157, -233, -309, -385?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + -8 + 13\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + p**2 + 3 - 4*p + 6*p + 3*p. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*h + 6*h. Suppose 2*y + 2*i = 24, y = -106*i + 104*i + 22. Sort -2, h, -4, y in ascending order.\nAnswer: -4, h, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 10:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11550 and 333564.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 14. Let i be 6 + (-4)\/(336\/484). Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2401 (base 6) to base 10\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3953*r + 2 + 0.\nAnswer: 3953*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 4*u + 5. What is the tens digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 3258\/378)*18\/12\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/165 + (-13808)\/(-60). Do n and 214 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlp when three letters picked without replacement from pmpdirrl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*d + 4*d + 10*r - 53 = 0, -51*d - 55 = -11*d - 3*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38.075 - 0.075. Let j = v + -32. Let x = 0.2 + -0.2. What is the closest to x in -4, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of x**6\/18 - 4*x**5\/5 + 19*x**4\/4 - 134*x**3\/9 + 26*x**2 - 24*x + 200. What is c in k(c) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*t**3 + 53*t**3 - 24*t**3 + (-56 + 56 + 19*t)*(0*t**2 - 2*t**2 - 2*t**2).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 25*i = 22*i - 13, -24 = 7*a + 4*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 + 4427134*c**2 - 2449937218176*c - 2449941645312.\nAnswer: -2*(c - 1106784)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 56 = 24. Let f = -9 + m. Solve -4*k + 6 = -f*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrnstsgtsgssggt. What is prob of sequence rs?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w. Let h(r) = -r**3 + r + 4. Suppose 4*v = -5*s + 2 - 6, -5*v - 5 = -s. Let u be h(s). Solve -5*t + u*x = -25, t + x = -w*t + 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3169.73418 to the nearest integer.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1805, -7328, -16543, -29450?\n\"Answer: -1846*g**2 + 15*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -22 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 71*q - 81. Let s be (-11)\/3 + 20\/30. Let h(c) = -212*c + 242. Let a(x) = s*h(x) - 10*w(x). What is the derivative of a(n) wrt n?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2 + q + 0 + 4. Let a(c) = 168*c - 7214. Let x be a(43). Determine y(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 49*h - 11. Does 21 divide o(-35)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-712)\/(-64) - -7) + -18)\/(2\/36)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zleeklzzwzkhll. Give prob of sequence hzw.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4622701 - 4622701 - h**3 - h**3 - 3004*h.\nAnswer: -2*h**3 - 3004*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 27. Suppose -h + 1 = -i, -18 + c = 3*h. Put 2, 0, i in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/114592 and -149\/21486?\nAnswer: 343776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 48*y = -6. Let g be 66\/(-9)*9*(-2)\/y. Are g and -22 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3*b + 7. Let f(z) = z**3 + 9*z**2 + 23*z + 17. Let s be f(-5). Let m(c) = 9*c + 43*c**s - 45*c**2 - 6 + 26. Calculate 3*m(n) - 8*r(n).\nAnswer: 2*n**2 + 3*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 0*f + 0*f + (-f - 3*f + 2*f)*(1 - 31 + 5 + (1 - 3 + 0)*(3 - 4 + 4)).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 23*a - 1730. Let n be c(75). Suppose -s = 3*s - 16. Sort 5, s, -2, n.\nAnswer: n, -2, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idscdsscdchsqscdss. Give prob of sequence cqh.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -17238, 2, -3, 3 in decreasing order.\nAnswer: 3, 2, -3, -86, -17238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(95)\/(-2*sqrt(5)) + sqrt(1900) + 1 + sqrt(171)\/(sqrt(144)*4)).\nAnswer: -153*sqrt(19)\/8 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 14, l: 1}. Give prob of picking 1 l and 2 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 468*g**5\/5 - 3413*g**4\/6 - 5546*g. What is the third derivative of x(o) wrt o?\nAnswer: 11232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-33)*6\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 64?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.228 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 8136*t**2 + 72981*t = 0. Calculate t.\nAnswer: -2703, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7674 and 1990124?\nAnswer: 5970372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1. Let w(h) = -h - 4. Suppose -148 = 10*l - 9*l. Let r = -149 - l. Determine r*w(s) - 2*d(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2629963*a + 29508494 wrt a?\nAnswer: -2629963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -82.\nAnswer: -82, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let z be (4\/(1 + -5))\/(-7). Which is the third biggest value? (a) h (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(c*c**(1\/2)*c)*c)))\/c)\/c**(-3\/5))**14 assuming c is positive.\nAnswer: c**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 118 and 735860.3564.\nAnswer: 735978.3564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**4\/4 + k**3 - k**2\/2 + 87*k - 9. Does 29 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/13 (b) -3.61 (c) 4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - 3*2\/6. Suppose 7*u + 2 = f*u. Is (25\/2)\/(u\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -27*b - 5. Let i(c) = -176*c - 32. Calculate -5*i(y) + 32*x(y).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(126\/32 - 4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**3 - 635 - 2*j**2 - 641 + 1278 + 2*j in the form b*j + i*j**2 + h*j**3 + c and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 1, 12, 2, -1 in decreasing order.\nAnswer: 12, 2, 1, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dceqc. Give prob of picking 2 c and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:39 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n + 227. Let y be h(18). Let k = 8 + -6. Suppose k*v - 65 = -3*v. What is the greatest common factor of y and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 965 = 0. Suppose 18*n - 517 + f = 0. What is the greatest common factor of n and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k = -2*r + 13, -2*r + 12 = -2*k. Solve -5*l + 2*x + 9 = -7, -r*x - 9 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b = 6349 - 3709 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 6. Suppose -2*b + 3 - 10 = d, 4*b + 21 = -3*d. Let l = -10 - d. Calculate p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*y + 193 + 228 = 36 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.16187 kilograms to micrograms.\nAnswer: 6161870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23513222 greater than -23513222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -11*r**3 + 3*r**2 - 4*r + 7. Let m be s(2). Let h = m + 113. Let p be 29\/3 - (-2)\/(-3). Calculate the highest common factor of p and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 3*n - 88, -p + 4*n + 13 - 9 = 0. Let i be (-12)\/((-5)\/(-2) - 1). Let a = p + i. Calculate the remainder when a is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -25832. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a factor of 514035456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6158 - 43a?\nAnswer: -6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42264 is divided by 881.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 5, m: 1, r: 1}. What is prob of picking 1 a and 1 r?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7264 - -7266. What is the closest to 0.6 in t, 4, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) 3 (b) 4 (c) -0.3 (d) 3783 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3697 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2) - (sqrt(288) + -4 + sqrt(288))))**2 + (4*sqrt(162)*6)**2.\nAnswer: -230*sqrt(2) + 94395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 8*s - 12. Suppose -4*r + 8*d - s*d = 9960015, r + 2489997 = -d. What is r rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172 - -172. Suppose -5*y = -4*c - 24, -2*y - 2*c + 5 = c. Suppose y - 19 = -2*h - j, -5*h = 4*j - 30. Solve t = a + 4*a + h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f - 1. Let r be h(-5). Solve 2*q = -5*o + 19, 3*q = -r*o + 2*q + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + -5 + -3*sqrt(99) + sqrt(11) + 1.\nAnswer: -8*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/10)\/((-9)\/(90\/4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7507864 nanometers in centimeters?\nAnswer: 0.00000007507864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67112204*h**2 + 6*h**3 + 67112204*h**2.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1406 - 678. Let b = 1067 - x. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31194 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4*(-156)\/195 + (-62)\/(-10). Put d, -3, -2, -1, -7 in ascending order.\nAnswer: -7, -3, -2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/124421 and -43\/158354.\nAnswer: 1741894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*g - 5010, 4*g = 26*m - 23*m + 7501. Suppose -7*f - 14448 = -3*f. Let t = m - f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -338*g - 173. Suppose -4*t - 27 = 5*f, -26 = 3*t + 5*f - 7*f. Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1453*a - 1453*a + 113*a**2)*(-5 + 4 - 1 - 3*a).\nAnswer: -339*a**3 - 226*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1.6. Let u = o - 19.6. Let l = u - -17.9. What is the nearest to 0 in 4, -1\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41704650 a multiple of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (0 + -1) - 2. Suppose -1 = p, m*h = -3*p + 4166 - 849. Round h to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 869.306548 - 53.43.\nAnswer: 815.876548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-4\/3)\/u))**(2\/3))**11)**(2\/31) assuming u is positive.\nAnswer: u**(440\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*t - 13 = 0, 1 = -r + t + 2. Suppose -5*h - 1 = -4*b - 30, -3*h - 2*b = -13. Suppose -h*u + u - 20 = 0. Put u, 4, r in descending order.\nAnswer: 4, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-1)\/2 - -3. Suppose -3*l = -7 + d. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 36 = -4*n. Suppose 69 = 4*j + 21. Calculate the smallest common multiple of j and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 32*z**2 - 154*z + 515. Let w be q(27). Factor 34\/11*s + 78\/11*s**w + 2*s**4 + 70\/11*s**3 + 4\/11.\nAnswer: 2*(s + 1)**3*(11*s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10623 divided by -12740?\nAnswer: 10623\/12740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*8\/(-6))\/((-528)\/528)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 - 1)*(0*f**2 + 2*f**2 + 0*f**2) - f**2 - 6*f**2 - 3*f**2)*(-14*f + 9*f + 10*f).\nAnswer: -70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1415872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 54 = 3*y - 34, -4*d = 2*y. Let z be (-44)\/8 + (-2)\/(-4). Let b = 11 + z. Solve -w - b = -3*m, m - 5*w = 2*m - d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 1513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80414225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {x: 1, k: 2, m: 1, y: 1, o: 1, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 16, 33, 5, -0.0042, 10?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13382932 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.724617l?\nAnswer: 4724.617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/11 + ((-519870)\/1705 - -204)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211 - -162?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/(2\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/16*(-2)\/(-5)*(-8658)\/(-234).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -36, -4, 12, 73 in increasing order.\nAnswer: -36, -4, 0, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48.598 and -0.29?\nAnswer: 14.09342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 210572 from 10513406.\nAnswer: 10302834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = 17*g + 19*g + 13205220. What is g rounded to the nearest one thousand?\nAnswer: -191000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 58) + (-16)\/(-4). What is the common denominator of 13\/12 and 5 + -9 - n\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.3, 0.3, 1\/2, 1 in descending order.\nAnswer: 1, 1\/2, 0.3, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 + 266. Which is the nearest to 2\/5? (a) 1\/11 (b) -0.06 (c) n (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 = -2*a, -2*a - 2*q = 1 - 5. Let n(t) = -t + 0 + 19 + a. Let m be n(20). Solve -3*i + 2*h - 23 = 2*i, 3*h = -m*i - 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199852861541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-30)\/(x\/(((x*x**(2\/53))\/x)\/x)*x)*x**17\/x**(2\/73) assuming x is positive.\nAnswer: x**(-61864\/3869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 193\/42 - 205\/42. What is the biggest value in -3\/8, -5, 0.28, l, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 3}. What is prob of picking 2 c?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9836 - 8453. Calculate the highest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k + 10. Suppose k*l = 2, -3*c - l = -5*l - 149. Is c\/(-6)*-6 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/(-165))\/(-2 - 40\/(-18)). Let l = -153\/88 - g. Which is the nearest to 1? (a) 1\/6 (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-302120)\/195)\/83*((-14)\/(-21) - 38\/(-24)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2 + 29\/15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4740038 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161 is divided by 97?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11*o**2 - o + 3. Let b be m(-2). Let s = -28 + b. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11781)\/(-459) + -42)*12\/14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*d - 4*f, 3*f - f + 6 = -2*d. Sort d, -5, 4 in decreasing order.\nAnswer: 4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/((68\/153)\/((-40)\/(-105)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c + 17915?\nAnswer: 17942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4634 - 4643.82. Round i to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u**2 + 10*u**2 + 12*u**2 + 5*u**2 + 8*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2579*z - 258895 - 36429 = 21893 for z.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -12. Let b(c) = -c**3 - 9*c**2 + 3*c - 15. Let g be 64\/(-24)*(1 + (-11)\/(-4)). Let s be b(g). What is the highest common divisor of s and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4622631991715 and 108.\nAnswer: 4622631991823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32133*d**2 + 640*d - 1.\nAnswer: 64266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + (5 - -2) - -12)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 29*m - 364. Let i be g(-39). Solve -10*f - 46 + i = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 4. Suppose 9 = b + b + j, 4*b = -l*j + 24. Suppose 2*f + 3*f - 27 = -b*y, 0 = 3*f - 9. Solve -x = -y + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 + k + 5. Let t be u(-2). Let z be 75*70*12\/t. What is z rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2332, 4681, 7006, 9295, 11536, 13717, 15826, 17851?\n\"Answer: -2*f**3 + 2363*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/l**(1\/8))*l)**36\/(l*l\/(l**(-4\/9)\/l*l)*l\/((l**1\/l)\/l)*l) assuming l is positive.\nAnswer: l**(1279\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.658398 decades?\nAnswer: 0.0658398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*y = -10, 7*s + 4*y - 32 = 12*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*r + 202, -2*r - 390 = -4*m - 5*r. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 2 k when four letters picked without replacement from kvnvpnbkkkbp.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 3b734?\nAnswer: 3b737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.9 + -212.1. Let q = h - -128. Let i = q - -91.9902. Round i to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*s + 32*s + 3335 + 7273 = 317*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.94 + 25. Let f = z - 7.06. Which is the biggest value? (a) -0.5 (b) -0.1 (c) 5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8697, -2 in decreasing order.\nAnswer: 8697, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7 = -3. Solve -v + 0 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*-1 + -63 + 77?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*i**2 + 64 - 340 + 11*i + 279 - 11*i.\nAnswer: 24*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 48\/9. Suppose 4*a = p*a - 56. Suppose -70 = -5*o + k, -3*o - 5*k + 9*k + 25 = 0. What is the remainder when a is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 546?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (3927\/(-70) - 37\/(-370))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/116 + -239\/812. What is the third biggest value in 0, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**2\/2 + j + 1. What is the remainder when b(-6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -27*b - 60. Let a(i) = -3*i**2 - 17*i + 14. Let w be a(-7). List the prime factors of l(w).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.1. Suppose -257 = 3*v - 2*y, v - 2*y + 4*y + 99 = 0. Let j = -1333\/15 - v. Which is the closest to 1? (a) h (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2108)\/510 + 4\/30)\/((-14)\/34699) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 4*m. Suppose 2*p = -s, 8 + 4 = -5*s + 2*p. Let u be ((-12)\/30)\/(s\/30). Let t be (6 - u) + (-1 - 2). Determine b(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*m + 3 = 17, -y + m - 6 = 0. Let d(s) be the second derivative of -s**3\/6 + s**2\/2 + 10*s. Let t(h) = 3*h - 6. Determine y*t(i) - 5*d(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.2 + -35. Is a not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000051713 to 7 dps.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 smaller than -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41699, 165688, 372345, 661676, 1033687, 1488384?\nAnswer: 2025773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 9:28 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 12*q**2 - 16. Is 35 a factor of u(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:25 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7150 is divided by 2089.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2045563 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210101 (base 3) in base 10?\nAnswer: -1306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1438 - -1431.67. Let k = r - 0.67. Let y be 28\/(-385)*5\/2. Put y, -2\/7, k in decreasing order.\nAnswer: y, -2\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 66*u**2 + 356*u - 8. What is q(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l, -4*l = -5*v - 20. Calculate the least common multiple of 21\/42 - 78\/v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122212201?\nAnswer: -122212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 748 divided by -748\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 8:52 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m, -3*m - 148 = -5*r + 115. Suppose -4*n = -4*u + r, 5*u = 2*n - 7*n + 95. Which is smaller: u or 17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -29, 3, 218, -1.\nAnswer: -29, -4, -1, 2, 3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.161923 and 319266.962.\nAnswer: 319267.123923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 118\nAnswer: 47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 5*n**2 + 5*n + 2. What is o(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*t = 10 + 7, -4*o + 11 = 5*t. Solve -o*x - j = -4*j - 4, 2*j - 2 = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031\/1897 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h + 5 + 0*h**3 + 15*h - h**2 - 9*h**3. Let u(a) = -a**2 - a + 1. Let o(b) = -5*u(b) + y(b). What is the third derivative of o(q) wrt q?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 7:51 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 9\/(0 - 3). Suppose 4*n - 4*s = 0, -b*n = 2*s - 21 + 6. Suppose 0 = z + 4*c - 19, 3*z = -c + 71 - n. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -2\/23 (c) 3308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*x - 2*l - 23, 0 = -3*x - 4*l + 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*i + 11, -z = i + 3*i - 7. Suppose -z*c + 86 + 67 = 0. Suppose 12*g + c = -129. Which is bigger: -14 or g?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1700 = 13*k - 18*k. Let d = k - -234. Let g = d - 307. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10687*2.557\nAnswer: 27326.659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41562 less than -1.1?\nAnswer: -41563.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + 5 + -4*(sqrt(684)*-2*-5 - (-3 + sqrt(684) + 1)).\nAnswer: -216*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 85984780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3\/3 + 2. Let j(p) be the third derivative of -p**4\/24 + 4*p**2 - 9. Calculate j(w(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgo when three letters picked without replacement from {t: 3, o: 3, l: 1, g: 3}?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*h**4 - 29*h**4 - 28*h**4 + 16 - 2*h**2 + 2*h**2 wrt h?\nAnswer: -616*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 5. Let z be p(8). Let d = -5 + z. Is 3 a factor of 8 + 0\/(6\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*l + 30, 0*l - 4*l = -8. Let m be (-1200)\/(v\/(-182)*(-7)\/75). Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 5*y + 15. Let h = -4 - 8. Is v(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 18388500?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-9) + (-16)\/(-9). Let l = 40 - 29. Let j(h) = l + n - 7*h - 19. Let p(u) = u + 1. What is j(m) + 6*p(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -120311.97?\nAnswer: -120311.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from ndaaaqady?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(5) + -5)**2 - (4*sqrt(45))\/sqrt(9).\nAnswer: 46*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 403 = -5*m, -c + 106 = -4*m. Does 42 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 23 = u. Let c = 23 + u. Suppose 3*q + c*q + f = 244, 5*q + 4*f - 409 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98856 rounded to 3 dps?\nAnswer: 0.989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180303737?\nAnswer: 3019, 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7588 plus 4117?\nAnswer: -3471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*o**5 - 17*o + 5 - 14*o + 0 + 40*o + 1 wrt o?\nAnswer: 940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00796137 rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2032*d**2 - 762*d wrt d?\nAnswer: 4064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1914.486 years?\nAnswer: 1.914486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*q**5\/9 + 106448*q**4\/9 + 2553578*q**3\/9 + 1153840*q**2\/9 - 16054*q\/3 = 0. Calculate q.\nAnswer: -23, -1\/2, 0, 1\/26, 1047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167181 + 167190. Let g = 2.1 + -2. Which is the nearest to g? (a) -0.2 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 30*d - 8. Calculate m(5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/(x\/(x\/(x\/(x*x**(-1)))*x)*x))*x)\/x)**(-1\/15)*x\/x**(5\/4)*x**(-7))**(-35))**43 assuming x is positive.\nAnswer: x**(132139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -19 - (-31 + 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 - 47*z + 172 = 0 for z.\nAnswer: 4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*d**2 - 257*d**3 + 86*d**2.\nAnswer: -257*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*(-2 + sqrt(891) + 0) + -2)**2 - (5*(sqrt(891) + sqrt(891)*1) + -1 + -3)**2).\nAnswer: -374120 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627 = -6059*b + 6026*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2 + 71409*i - 142806 = 0.\nAnswer: 2, 23801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u + 16 - 16 + 19. Let o be a(-5). Let s be 150\/18 + 2\/o. Solve 0*l - 5*f = 4*l + 13, f + s = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 10. Determine l(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 19. Suppose -4*f + 38 = 3*w, 5*f + 2*w = -3*w + 45. Let z be i(f). Let a(t) = -t**2 - 10*t + 4. Give a(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14135608011799634 + 14135608210842681.99999974. Let z = 199043050 - n. Let v = 2 - z. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g*i**2*k**2 + 1042*g*i*k**2 - 2*g*i*k*r - g*i*k + g*i + i**2*r - 19271*i*k**2*r wrt r.\nAnswer: -2*g*i*k + i**2 - 19271*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(19) + -1) + 1).\nAnswer: -6 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3917827*b**4 - b**2 - 2707*b + 500.\nAnswer: 47013924*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -878 + 905. What is the greatest common divisor of 468 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33b3a (base 14) to base 16.\nAnswer: -1eaf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17*j\/j**(-1\/2)*j**(1\/12)*j**(-12)\/j)**(-18) assuming j is positive.\nAnswer: j**(-201\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57474881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a**4 - 16*a**3 + 18*a**2 + 10*a + 2. Let i(c) = c**3 - 1. Let b(t) = -6*i(t) - u(t). Find d such that b(d) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + 63. Let v = 36 - j. What is the derivative of 0 - v*w**4 + 11*w**4 - 7 - 3 wrt w?\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 103 - 199 + 2*j + 509 - 102.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 9:29 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*n**2 + 4 - 4 - 2*n**2 + 133*n + 24*n**2 - 133*n + (2 - 2*n - 2)*(n - 2*n + 3*n) in the form y + a*n + w*n**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:06 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*m*t - l*m**2 + 8*l*t**2 + 55*m**2*t**2 with respect to l.\nAnswer: 9*l**2*m*t - m**2 + 8*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*g**2*l - 5*g**2 - 44*g*l + l + 3 wrt g.\nAnswer: -92*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -32, 0, -15 in descending order.\nAnswer: 6, 0, -1, -15, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26302913 to three decimal places.\nAnswer: 0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*3*2\/3. Suppose -k + 12 = 13. Let q(d) = -d**2 + 4*d + 1. Let u be q(4). Put a, k, u in decreasing order.\nAnswer: a, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 948 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 121*x + 123*x = 13 - 0, -2*x = -7*a - 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i + 0*i + 2*i - 2*i**3 + (-5 + 2*i + 5)*(2 - 2 - 2*i**2).\nAnswer: -6*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 32830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/2620 and -43\/81827840?\nAnswer: 81827840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 13 = -172. Suppose -5*o = n + 6 - 94, 0 = n - 2*o - z. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-187)\/(44132\/1770)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**3 - 5*f**2 + f**2 + 4*f - 1 + 4*f**2 - 7*f**2. Let x(t) = t**3 + t**2 - t. Let n(c) = d(c) + 6*x(c). Does 3 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.1, -2, -2\/5, -32 in ascending order.\nAnswer: -32, -2, -2\/5, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6965*w + 1 - 10*w**3 + 8*w**3 - 1 - 6985*w.\nAnswer: -2*w**3 - 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.01. Let w = g + 3.99. Which is the closest to 0? (a) w (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25384 and 88.\nAnswer: 279224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2 + 168347*d. Let f(a) = a + 52. Calculate r(f(v)).\nAnswer: -5*v**2 + 167827*v + 8740524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**4 + r**4 + 2*r**4)*(5*r - 5*r + r) - 2 - 2 + 3 + r**5.\nAnswer: 3*r**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/23))**(-13) assuming s is positive.\nAnswer: s**(-26\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248299 is divided by 639.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r - 25 + 25.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*(15*-1)\/(-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 81 + (6 - (-4 + 5)). Suppose 84*l + 2 = h*l. Suppose 3*j - l = n, 2*n = 7*n - j - 23. Solve n*t - 2*t = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + -69. Let q be (r\/30)\/(1*-2). Do q and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 919340 = 4*o - 5*f - 800670, 860010 = 2*o - 5*f. Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11.8 (b) -1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2679.292ml to litres.\nAnswer: 2.679292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y. Let t be -1 - (-4 + 1 + 6). Let g be 3 + -3 + t + 3. Let d(o) = -o. Determine g*z(k) - 4*d(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 r, and 1 n when four letters picked without replacement from {f: 4, n: 5, r: 3}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 11*s**2 + 4*s - 3. What is p(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 9*h**2 - 2*h. Let k(i) = 10*i**2 - 3*i. Let q(y) = -2*y + 1. Let p be q(4). Let b(m) = p*g(m) + 6*k(m). Find the second derivative of b(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00727 - 0.09027. Which is the closest to 1? (a) f (b) -0.5 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 14*r**2 - 8*r - 9. Does 16 divide u(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 20. Let x be (-214)\/(-4) - 15\/t. Suppose -3*n = -3*q - x - 206, 2*n = -q + 181. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5084*s. Let c(q) = 5*q**2 + 4*q - 14. Let i(u) = -42*u**2 - 34*u + 119. Let t(p) = 17*c(p) + 2*i(p). Calculate t(l(h)).\nAnswer: 25847056*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 8*a - 1. Let y be b(-9). Suppose 3*o - y = -2. Suppose 0 = o*h - 3*h + 12. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 3*h**2 - 374*h - 334*h + 4 + h**2.\nAnswer: h**2 - 708*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4275 and 3375.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*a - 33*a - 34*a in the form t*a + z and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 2 - 2*p**5 - 4*p**4 + 5*p**4 + 0*p**2 - 4*p**2 + p**4 - 2*p.\nAnswer: -2*(p - 1)**3*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(221*r + 448*r + 862*r).\nAnswer: 3062*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-3565)*((6\/7)\/(-3))\/((-84)\/735)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -975650, -7805160, -26342410, -62441270, -121955610, -210739300?\n\"Answer: -975645*q**3 + 5*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1112 divided by 278.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n**0)\/(n\/(n*n**(-1)))**33*((n\/(n*n**(-2\/5)))\/(n**(-3\/7)\/n*n))**(-24) assuming n is positive.\nAnswer: n**(-1606\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.2 - 55.7. Which is the smallest value? (a) v (b) -146 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 8 = 0. Suppose 0 = 4*h + x*y + 8, -4*y + 3*y - 2 = -2*h. Which is greater: h or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -10, -178, 9\/4, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1489302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18*g**2 + 5*g - 2. Let a be d(-1). Suppose 153 = -a*q + 6423. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8)*(-4)\/3. Let x(y) = -2*y**2 + y**h + 7*y**2. Let r(a) = 2. Let k(v) = v**2 + 5. Let w(s) = -2*k(s) + 5*r(s). What is x(w(m))?\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3614570 divided by 3994\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 1\/((-184)\/62 + 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-22 + 0 + 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.102*-19.6.\nAnswer: 1.9992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from imsmhmmhhsmsmimim.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3306592*p*q**3 + 155454*p*q**2*u + p - 2*q**3*u + q**2*u wrt q?\nAnswer: 19839552*p - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 1 n when three letters picked without replacement from {n: 11, b: 1, i: 2, w: 1}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413134 (base 7) in base 9?\nAnswer: 316362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 - 4 - 8 + 12 - 3*b.\nAnswer: 118*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let y be (-69)\/24 + 2 + 1. Let v = 40395.3 + -40395. Which is the third biggest value? (a) y (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 369*c\/2 - 741\/4.\nAnswer: 3*(c - 247)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*v - 38 + 69. Let w be (45\/9 - 5)*v\/3. Solve w = -3*j - 12, -5*b = 5*j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59 - 56?\nAnswer: -af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 362.4512696 to two decimal places.\nAnswer: 362.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.05 and 11509.\nAnswer: 11507.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292902483*s**3 - 879003879*s**2 - 889365*s - 225 = 0 for s.\nAnswer: -3, -5\/9881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 11*z**2 + z + 8. Let f be a(5). Let j = 166 - f. Solve -5*u - 3 = 4*c + 18, 4*c + 19 = -j*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllldlllllllllllld.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:26 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 8\/3 + 175*b**5 - 34\/3*b**2 + 1040\/3*b**4 - 4877\/9*b**3 + 260\/9*b = 0.\nAnswer: -3, -2\/15, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 201 = -2*r + 4*o, 0 = 3*r - 3*o + 201. Let p = 62 + r. Put -4, p, 0, -15 in increasing order.\nAnswer: -15, p, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + (-73 + 50 - (-1 + 1 - 3))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273364237?\nAnswer: 28031, 45427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.591 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((3122\/(-56))\/223)\/(-1*2\/(-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-35) - 32\/(-30)*3. Suppose 3*b - 1 = 5. Suppose x + 5 = 3*x - l, 0 = b*x + l - 15. Sort x, 0, d in decreasing order.\nAnswer: x, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24 - 10\/(-3 + -2). Calculate the common denominator of m\/((-100)\/(-15) + 0) and -41\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1010?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - 44*u + 9. What is y(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 66611093?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2 - 3. Is 0 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77\/92 - -2\/23. Let j(f) = 43*f**2 - 127*f - 4. Let y be j(3). Sort 4\/7, m, y, -4\/5 in decreasing order.\nAnswer: y, 4\/7, m, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66.44788l?\nAnswer: 66447.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by (24\/15)\/((-12)\/(-90))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -5\/8, -14, -86, 5, 0.6, -1?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/12 - 2*u**3\/3 - 2*u**2. Let s be a(4). Suppose -n - s*n = -10. Solve 5*y - 7 = -4*m, 5*m = m - n*y + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 271, 536, 797, 1054?\n\"Answer: -2*u**2 + 271*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 8 = 5*o - 52, 7520*t = 5*o + 7522*t - 32 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/9)\/(a\/a**20)*a**(-12\/7)*a**22\/a*a assuming a is positive.\nAnswer: a**(2447\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 432?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 2176 = 3*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7 = -3, -2*g - 2*t - 6 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -7*a**2\/2 + 50*a + 35. What is the lowest common multiple of x(5) and 50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269.506 take away 0.73348?\nAnswer: 268.77252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 1*sqrt(85)*4 - sqrt(85)) + 6*(sqrt(85) - sqrt(85)*1))\/(sqrt(50)\/(-1*sqrt(10)) - sqrt(5) - -4*(sqrt(5) - -1*sqrt(5))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*b + 15. Let m be b\/2*6\/(-5). Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:40 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 2. Let d be i(-2). Let f be (2\/70)\/((-3)\/(-15)). What is the nearest to d in -3\/4, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/5, -2, -38, -0.4, 2.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 v when four letters picked without replacement from {v: 5, y: 1, a: 7, w: 2, o: 3, e: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-42)\/(-245))\/((-75)\/1375)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19824?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -86209390145672 and 0.5.\nAnswer: -86209390145671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2958861188.55 from -342.\nAnswer: -2958861530.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000010222 (base 3) in base 9?\nAnswer: 230128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:21 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11580 and 25354410.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1 + 0 + 3 + 141*a. Let g be p(3). Suppose 0*k = -5*k + g. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p**2 + p)*(-15*p + 124*p + 27*p) + 2 - 2 - 2*p**3 + (-1 + 0 - 1)*(-6*p**3 + 0*p**3 + 4*p**3) - p**3 - p**3 - p**3.\nAnswer: -409*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 18 - 107)*(5*s**3 - 3*s**3 - 4*s**3) - 3*s**3 - 48*s + 48*s.\nAnswer: 255*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*c*m*t**3 + 117*c*m*t - 237*c*t**2 - 2*t**3 + 2*t**2 - t with respect to m.\nAnswer: -40*c*t**3 + 117*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10158 + -10181.204. Let p = x - -23.2. What is the second smallest value in 5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*3 + sqrt(2662) - (sqrt(2662)*-3 - sqrt(2662)))\/((sqrt(176)\/(sqrt(4) + sqrt(8)\/sqrt(2)) + sqrt(44))*-2) + -3.\nAnswer: -44*sqrt(2)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1812981390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 143?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmpb when four letters picked without replacement from vmbvmdbvvpb?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4 - 2. Let t be (-10)\/(-6) - 4\/(-12). Differentiate t*p - 2*p - 2 - u*p with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from {c: 5, u: 1, e: 6, k: 3, t: 2}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/3))**43\/((n**(3\/8)\/n)\/(n*n\/(n**(-5)\/n)*n*n)))\/(n**3*n*n**(-3\/2))**(-7) assuming n is positive.\nAnswer: n**(-13\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 23.5\nAnswer: 164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 + 12*r + 17. Let b = -170 - -178. Let u be k(b). Calculate the highest common factor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.33 - 82.73. What is q rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -103*a + 24. Let i be g(-5). Let b(y) = y**3 - 12*y**2 + 15*y + 5. Let k be b(11). What is the highest common factor of k and i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -9*h + 5*h + 424, -4*m = -4*h + 432. What is the remainder when h is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - 35\/(-25). Let w be (-6)\/(-2) - 1\/l. Determine s, given that 0*s**5 - 5*s**w - 5*s**5 + 3*s**5 + 2*s + 4*s**4 + s**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2501526 divided by 6?\nAnswer: -416921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62298 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 10 = -10*i. Solve i*z + f = -f, -f + 7 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 84 - (-6)\/(-6)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 13. Let v be (-20)\/(-35)*-1*-7. Suppose -y = -v - 8. Suppose -l = -2*x + y, -3*x - 21 = 3*l + 2*l. Give r(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26128 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.009 + -3.181. What is c rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2896 is divided by 1090.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 628319 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2209*q + 21555 - 1121*q - 1087*q + 2 - 2*q - 2 + (-4 + 3 - 1)*(q + 0*q + 0*q) as v + x*q and give v.\nAnswer: 21555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115.43304 - 9.44644. Let y = b + -106. What is y rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b. Let y be 3\/(-9) - (-14)\/(-21). Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230230131 (base 4) to base 2.\nAnswer: -11101100101100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Solve -4*w - v = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 4*d - 1\/2*d**3 + 0 + 0*d**2. Let i(k) be the second derivative of 2*k**3\/3 + 464*k. What is i(f(m))?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*x**4 - 7 + 2*x + 18 - 7 + 39*x**3 in the form h*x**2 + y*x + i + a*x**3 + f*x**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y - 5929. Let v(u) = -4*u. What is v(l(i))?\nAnswer: 48*i + 23716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -821424?\nAnswer: 328569.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r + 1\/3*r**3 + 1\/3*r**4 - 8\/3*r**2 + 0.\nAnswer: r*(r - 3)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wygymyqy. Give prob of sequence qm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*c**2 - 82*c**3 + 31*c**2 - 116*c**3.\nAnswer: -198*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 47*s**2 - 107678*s + 107631 = 0.\nAnswer: 1, 107631\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/15 + 3\/(-5). What is the nearest to p in 0.2, -0.3, 2\/13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 302030?\nAnswer: -302013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368134183 to the power of 1\/3, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 4868048*i - 2962236416288 = 0. What is i?\nAnswer: 1217012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 61969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/6 + 9405*b**2\/2 + 42316*b\/3 - 18808.\nAnswer: (b - 1)*(b + 4)*(b + 28212)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -3 (c) 3 (d) -4\/7 (e) -6.272\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c + 63 - 759 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let d = 251 + -248. Let q = 0.5 - 0. Which is the biggest value? (a) p (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*q = 0, -2 = -2*s - 0*s - 3*q. Suppose 31 = s*c - 17. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 4 + 47 - -5.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-7) - (5 + -1)) + 1560\/140 + -11?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:34 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 104, 5 in increasing order.\nAnswer: -5, 3, 5, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 202 - 202 + s. Suppose -5*r - 30 = -4*y, 3*r - 5*r - 19 = -3*y. Let g(b) = -3*b - 3. Let u be 12\/9 + 1\/(-3). What is u*g(h) + y*o(h)?\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85 - 157) + 63 - ((1 - 17) + -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + (653 - 650)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {r: 1, b: 1, j: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b*b\/(b**(-8\/5)*b)*b)\/b*b))\/b*b**(1\/10)*(b**(-6))**19 assuming b is positive.\nAnswer: b**(-237\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 less than 503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/120 + n**5\/20 + n**4\/6 + n**3\/3 + 2*n**2. Let g be m(-3). Let i = g - -14. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 5*a**2 - 1. Suppose 8*d - 15 = -4*u + 3*d, -2*d = 5*u - 23. Let s be (-12)\/u - 4\/(-10). Is m(s) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -127\/4. Let j = 14.6 + -14.436. Let l = -1.836 - j. Put l, x, -0.05 in increasing order.\nAnswer: l, x, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefeeeeeeffeeee. Give prob of picking 2 f and 2 e.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 181*g + 3. List the prime factors of p(1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (-10 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 + 33*w + 11 + 10 + 15 in the form o*w + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence seix when four letters picked without replacement from {x: 1, s: 9, e: 4, i: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -187*k + 1. Let o(h) = 2*h**2. Calculate o(q(a)).\nAnswer: 69938*a**2 - 748*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34602365.67 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12318 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188126 is divided by 539.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 18*b = 22*b + 17, 2*l - 4*b = 26 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 37*q + 9. Let c be i(-9). Calculate the common denominator of 3\/(c\/185)*-3 and -81\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36376962 to the power of 1\/3, to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -3.\nAnswer: 85\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228424 divided by 114212.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(8)*4*-5 + (sqrt(5) - (-4 + sqrt(5))*4) + -5)**2.\nAnswer: -506*sqrt(5) + 2766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/33 and -26\/202569.\nAnswer: 2228259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1526 > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116780*g**2 + g + 166924.\nAnswer: -233560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/3259447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 7, 14, 19?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4906608 and 336?\nAnswer: 4906608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzyyyyyyywwyyy. What is prob of sequence zz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 5*j**4\/2 + 4*j**3\/3 + j - 50. What is the hundreds digit of y(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-14) - (-10 - -1). What is the closest to 0.2 in -0.3, i, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(80) + sqrt(80) + 1 + sqrt(80) + -2)**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-56*k**2 - 164*k**2 - 47*k**2 + (-5 + 5 + k**2)*(-6 + 5 + 2) + 3*k**2 + 3*k**2 - 4*k**2) as x*k**2 + u + o*k and give x.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52267, 52266, 52265?\n\"Answer: -w + 52268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sjsjsjspjsssspjjss. Give prob of sequence jpps.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9338015905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 13. What are the prime factors of q(4)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5795733642 plus 0.039?\nAnswer: -5795733641.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -172*d + 3. Let r be l(1). Let y(w) = -20*w - 7. Let t be y(5). Let g = t - r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/170 and -61\/612.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28)\/(-6) - 3\/(-9). Suppose p*v - 12 = v. What is the first derivative of -2 - 2*s**3 + 3*s**3 - 2*s**v wrt s?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2622\/(-135))\/19 + (-4)\/(-18). Which is smaller: 20 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1742 is divided by 193\/(-14 - 258\/(-18))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 51 + 141. Suppose 3*f + j = 7*f. Suppose 3*x + n = 2*n + f, 4*x - 4*n = 24. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -413 + 427. Suppose 8*c + y = 46. Solve 0 = 5*w - c*v - 35, w = -0*w + 2*v + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15250 + 15250 + 13*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 57*o + 31. Let t be -18*(17 - 1946\/126). Give z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51\/7 (b) 0 (c) 3 (d) -2\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 30*n**2 - n - 26. Calculate w(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -21582*i - 194948. What is n(-9)?\nAnswer: -710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:10 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 598 + -594. Suppose 0 = -x*u + 9*u + 20, 5*b + 2*u - 7 = 0. Solve -3*i = -3*k + 6, 0 = -2*k + b*k + 3*i - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55*(-12)\/(-6)*(-60)\/75*(-6)\/(-16).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4881 - 1060 - 51)*(2 - 2 - 2*f**2) to the form q*f**2 + z + t*f and give q.\nAnswer: 11984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188772, -189625, -190478, -191331, -192184?\nAnswer: -193037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Suppose 0 = -m*w + 6 + 3. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 3*x - 2*x + (-8*x + 21 - 21)*(3 - 5 + 3))*(-2*x + 7*x - x) in the form v*x**2 + i*x + a and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**6\/270 - 13*x**5\/180 + 25*x**4\/54 - 16*x**3\/27 - 16*x**2\/3 - 3*x - 1. Solve i(h) = 0 for h.\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.2. Let q = 45 + -181\/4. Sort q, o, -2\/9 in descending order.\nAnswer: o, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5553*y**4 + 2*y**3 - 193*y - 4 wrt y?\nAnswer: -66636*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-338)\/8 - (14 + -15). Let p = s + 41. What is the closest to -3 in -0.3, p, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309574973?\nAnswer: 309574973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 1, x: 1, h: 1, b: 1, n: 2}. Give prob of picking 1 b, 1 n, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g + 303. What is the lowest common multiple of 6 + 2 + 0\/(-2) and y(15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3)*-2 + 3 - sqrt(144)\/sqrt(3))**2.\nAnswer: -36*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2188473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.778 + -1.14. Let k = -3.34 - z. Let d = k - -3. What is d rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 673 - 227. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*z - 1257*z + 5*l = 1259*z + 19, 3*l = 6*z - z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6564*k**3*n - 6237721*k**3 + 661*k*n wrt n.\nAnswer: 6564*k**3 + 661*k","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3\/4, -5, 15\/4, 1.\nAnswer: -5, -3\/4, -2\/9, 1, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 13.6, -346, -7225 in descending order.\nAnswer: 13.6, -346, -7225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/39))**(2\/9)*(v*v**(15\/8))\/v*v*v*v**(14\/9)\/v assuming v is positive.\nAnswer: v**(12409\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*5*1*sqrt(1377))**2.\nAnswer: 30982500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81*3\/(24*1*9\/(-288)*-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 14 + 4 = 0, -j - 292 = -2*d. Factor 25\/2*m**2 - 60 - d*m.\nAnswer: 5*(m - 12)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0098440719 to 6 decimal places.\nAnswer: 0.009844","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -18*x. Let a(o) = 38*o**2 + 0*o - 30*o**2 + 0*o. Determine a(f(k)).\nAnswer: 2592*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1174 = -6*b - 364. What is the units digit of b\/18 + 6\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 + 2*a**4 + 0*a**4 - a**4 - a + a + (-11*a + 4 - 4)*(a**3 - 4*a**3 + 4*a**3).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -13.7 (b) -3 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58571 (base 10) to base 4\nAnswer: 32103023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) -1\/7043 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14894, -29759, -44624, -59489?\nAnswer: -74354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - p + 4. Calculate the remainder when m(6) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*2 - (3 + (-150)\/(-42)) and 31\/63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24 - (-46 - -49))\/((-3)\/1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 25*l + 54. Let w be z(20). What is the common denominator of -6 + w\/8 - (-4 + 1) and -61\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18837 and 227838.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -16*c**2 - 848*c - 845. What is a(-52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04792102863 + -3200.\nAnswer: -3199.95207897137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 639 = -21*h, 5*h - 571 + 746 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.31 + -0.21. Let w = 1.032 + -1.132. Let a be (-20)\/(-16) - (-2)\/(-8). Sort d, a, w.\nAnswer: w, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 879*w - 8*w**2 + 3*w**3 + 8*w**2 - 879*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + 95. Let z = -79 + y. Let w = z + -45.000046. Round w to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14525021 (base 6) in base 13?\nAnswer: 14a976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 (base 8) in base 10?\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + z)*(0*z**2 + z**2 - 3*z**2)*(1 - 5 + 0).\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23805*-3.\nAnswer: -71415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1487 - 1376. Calculate the greatest common factor of 1443 and n.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) - 72\/(-15). Suppose -1 + n = 2*y. Suppose -y*g + 3*u = -86, -3*u + 15 = -g + 61. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q - 78. Let p be (-53)\/(-6) - (-12)\/72. Let n be l(p). Calculate the highest common factor of 63 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -63, -96, -139, -192, -255?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 311332.3m?\nAnswer: 311332300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1.4, 5, -10, -4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3668 divided by 4?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 0)*4*6*5.\nAnswer: 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51634554.\nAnswer: 2, 3, 1499, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/20445 and 13\/485.\nAnswer: 1983165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3628, -3633, -3638, -3643, -3648, -3653?\n\"Answer: -5*t - 3623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 766170.9 millennia?\nAnswer: 9194050800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*v - 511 + 293 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c + 2*c)*(11 - 30 - 11)*(26 - 31 + 27).\nAnswer: -1320*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3559a1 - 3?\nAnswer: -3559a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 150\/9949 (c) 4 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -15.023965?\nAnswer: 13.023965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37960420, -75920823, -113881226, -151841629, -189802032?\n\"Answer: -37960403*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 + 3*b + 2. Let k be m(-2). Suppose -k*x = -0*a - 4*a - 48, 2*x = -2*a - 20. Let s = -6 - a. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5199804 by -2.\nAnswer: 2599902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 - 229. Solve 0 = -g + m*r - 0*r + 8, 5*g - 10 = 4*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 3*n**2 - 33 + 4*n - 13*n.\nAnswer: -3*n**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 385 and 42?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*m**2 + 3*m**2 + 57*m**2.\nAnswer: 177*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7191, -6789, -6387, -5985, -5583, -5181?\n\"Answer: 402*n - 7593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98133, -97833, -97531, -97227, -96921?\nAnswer: -96613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 448, 929, 1478, 2143, 2972, 4013, 5314, 6923?\n\"Answer: 8*n**3 - 14*n**2 + 467*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1013 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2830*n - 11. Is x(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123 (base 5) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -11, -0.4.\nAnswer: -11, -0.4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 4*d + 411. Determine z(-104).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -107*m + 263. Let q(i) = -171*i + 395. Let t(n) = 5*q(n) - 8*z(n). Let r(f) = -f**2. Calculate r(t(g)).\nAnswer: -g**2 + 258*g - 16641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (31 + -17)) + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from tuzuwuazututzz.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348675891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 1, h: 4, l: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30045 is divided by 7508?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113464 divided by -4.\nAnswer: 28366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 - 65*b + 8. Let m be w(-8). Suppose -150 = -m*u + 42. Calculate the highest common factor of 228 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/3? (a) 5 (b) -4 (c) -0.082 (d) 9\/19 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/2)\/(5\/(-15)). Let w(z) = 6*z**2 - 1. What is the remainder when h\/((2 - 1) + (-24)\/18) is divided by w(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -429?\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (9048\/143)\/(-4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 136 = 2*l, w - 200*l = -205*l + 41. Let n = -27 - -19. Let r(h) = h**2 - 5*h - 3. What is the remainder when r(n) is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let n be q(2). Suppose 16 + n = -2*v + 2*x, -25 = 3*v - 2*x. Let p(i) = 2*i - 6. Give p(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/132*3)\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -21*w + 670. What is the highest common factor of 287 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*v - 104*v + 99*v - 1 + 1 + v + (0 - 3 + 2)*(7*v - 3*v - 2*v) + 2*v - 5*v + v)*(10*v**2 - 6*v**2 + 3*v**2)*(-3 + 2*v**2 + 3).\nAnswer: 4550*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*f**3 - 4*f + 2*f + 4 - 2*f**4 - 2*f**2 - 30*f**3 + 52*f**3 to the form s + k*f**3 + h*f**2 + j*f + q*f**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 30\/21 + 357\/(-147). Let j = -2421\/7 + 345. Sort d, j, 0.01 in decreasing order.\nAnswer: 0.01, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 10) + 32 + (-19 - -7) - -47\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36741674287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-3 - -7) - 16) + -3 + (44 - -24)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsn when three letters picked without replacement from ssnnssss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let k(h) be the second derivative of 3*h**5\/10 + h**4\/2 - 13*h**2 - 22*h. Let f(c) = k(c) + 6*u(c). Differentiate f(m) wrt m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33033972 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -165.5 and 525156.\nAnswer: 524990.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 8:22 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 5*p + 3*p)*(2 + 0 + 1)*(p**4 + 34 - 34 - p**2).\nAnswer: 9*p**5 - 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**0*v*v*v**(-1\/5)*(v\/(v**(-1)\/v)*v)**33*(v\/(v*(v**0*v)\/v))**(-3\/13)*v**(-2\/11)*v**(-2\/3) assuming v is positive.\nAnswer: v**(21937\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/55 and 97\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3001, 34, -117, -1 in decreasing order.\nAnswer: 34, -1, -117, -3001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 4 = -3*f, -a = -4*f - 20 + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16605890555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 11) in base 16?\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6) - -1)\/(2\/(-16)). Suppose -r*t = 2*x - 76, -3*t = -x - 0*x + 63. Let g = -27 + x. Calculate the lowest common multiple of 33 and g.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h + 2335 = -780 + 277 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 2}. What is prob of sequence aqa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2959 + -3024. What is the closest to v in -5, -1, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**4\/7 + 16*v**3\/7 + 27*v**2\/7 + 2*v - 371. Factor j(p).\nAnswer: -2*(p - 7)*(2*p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9613.\nAnswer: 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 15. Suppose -1 = m*u - 6. Find the third derivative of 2 - 3 + u + 2*o**2 + 6*o**5 wrt o.\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 280493, 279382, 278273, 277166, 276061?\n\"Answer: u**2 - 1114*u + 281606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 + 3546*d**2 + 35793*d - 39336 = 0.\nAnswer: -11, 1, 1192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 18*c - 20. Let x be i(15). Suppose 9*g - x + 16 = 0. Let s = 0.53 + -0.36. What is the second biggest value in 3\/4, s, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.06 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j. Let z(x) = -5045*x. Determine h(z(n)).\nAnswer: 25225*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + -2. Let u = 1.15 + -0.19. Let d = r + u. Round d to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 0. Let q = -8 - j. List the prime factors of (2 + q\/3)*-18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3022.209 to the nearest ten.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 5, -0.05, -3\/2.\nAnswer: -3\/2, -4\/7, -0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/320, 0.1, 4, 2 in increasing order.\nAnswer: -3\/320, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69561*c - 69648*c = 1740 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -386, -781, -1186, -1601?\n\"Answer: -5*f**2 - 380*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-224)\/(-20))\/(1\/(-5)). Is (12\/14)\/((-8)\/h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118\/17661 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k + 120 = 0. Suppose -20 = -2*w - w + p, -w + p + 4 = 0. Calculate the greatest common factor of k and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(17) + (sqrt(17) + -1 + sqrt(17) + sqrt(17))*1 - (sqrt(272) + -3 - sqrt(17))) + 3)*-2*1)**2.\nAnswer: 240*sqrt(17) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.22 * 2\nAnswer: -2.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**2 - 1473*y + 6. Let r(d) = 50*d**2 + 10310*d - 45. Let z(o) = -2*r(o) - 15*v(o). Factor z(g).\nAnswer: 5*g*(g + 295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992073775?\nAnswer: 5, 263, 302977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j + 216 = 46*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**8*k))\/k*k)\/((k\/(k*k*k\/(k\/k**(-2\/35))))\/k*k) assuming k is positive.\nAnswer: k**(-247\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 29?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(4\/2)\/(-1). Let j be (-549)\/63 + c\/(-14). Let o = j - -9. Solve o = -5*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19*j**3 - 353*j**2 - 3*j - 2. Let s(a) = 51*a**3 - 1058*a**2 - 8*a - 5. Calculate 8*q(l) - 3*s(l).\nAnswer: -l**3 + 350*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + 63 - (0 - 0) is divided by ((2\/3)\/2)\/((-67936)\/(-1386) + -49)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 0*j + 6*j + 84.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22299\/196 + 455\/4. Let z = r - -248\/147. Which is smaller: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let p(i) = -760*i + 133. Let z(q) = -23*q + 4. Let y(b) = 4*p(b) - 133*z(b). Give y(j(o)).\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 399*t**2 - 179*t + 3. What are the prime factors of j(10)?\nAnswer: 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 70. Calculate the smallest common multiple of m and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -155.1. Let o = 5.9 + t. Let n = o + -27.00108. What is n rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**2 + h + 12*h**2 - h - 13*h**3. Suppose -7 = 3*z + 4*m, 3*z - 2*m = z. Let j be (-1*2 - z)\/(-6 - -5). Determine g(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(768) - sqrt(48)) + sqrt(48))\/sqrt(6))\/(sqrt(4)*-2*6))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}