diff --git "a/data/dm_maths/full_data_1/1227_11255.jsonl" "b/data/dm_maths/full_data_1/1227_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1227_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u be ((-8)\/10)\/((-6)\/75). Find the common denominator of 3\/2 + (-81)\/u and -50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-126))\/(9\/(756\/8)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7518400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 80*n\/9 + 350\/9.\nAnswer: 2*(n + 5)*(n + 35)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - 6. Let m be x(5). Let p(s) = -m + 6*s - 4 - 2*s. Calculate the remainder when p(6) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r. Let v(f) = 7829789*f**2. Give v(s(m)).\nAnswer: 31319156*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -702 + 1024. Suppose -5*n - 72 = -k. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-9)\/(-951)) + 11\/(-33). Let h = 279 - w. List the prime factors of h.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 222178307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-9)*j)\/j)\/j*j\/(j\/((j**(-4)\/j*j*j)\/j))*(j\/((j**1\/j)\/j))**25)**(-3\/7))**(-29) assuming j is positive.\nAnswer: j**(3132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = -2*s + 37, 0 = -3*s - 4*l + 48. Let v be 224\/6 - 2\/(-3). Let h = v - s. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l**2 - l. Let r(u) = 35*u**3 + 30*u**2 - 30*u. Determine 30*q(d) - r(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/26 - ((-1232)\/(-208))\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*12\/(24\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134)*-1)\/((sqrt(96)\/sqrt(6))\/sqrt(8)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16219153 divided by 9\nAnswer: 16219153\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.1, -28, 3\/44 in descending order.\nAnswer: 3\/44, -3.1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15423 (base 6) in base 3?\nAnswer: -10110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137916)\/3831 - (69 + 1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 79, -5, -0.5 in descending order.\nAnswer: 79, 0.04, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 4*f**2 + 2*f + 1. Calculate the remainder when 518 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10600000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/(-20)*(-184)\/(-23)*1\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 5. Let y be f(5). Suppose -830000 = 4*u - y*u. What is u rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.334 + -0.634. Let k = 0.04 - 0. Let b = 2.96 + k. What is the closest to -1\/4 in g, b, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8638281 or 5?\nAnswer: -0.8638281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -20*o - 76. Let t be v(-4). What is the highest common factor of 448 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1 + 67 + (-4466)\/70 - (-99)\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3844*j**4 - 2976*j**3 + 576*j**2 = 0. Calculate j.\nAnswer: 0, 12\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27487, 55128, 82765, 110398?\n\"Answer: -2*q**2 + 27647*q - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32334 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 209 + 136 = -145 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 755.\nAnswer: -755.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.599 tonnes in kilograms?\nAnswer: 549599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 0*d**3 + 3*d**3)*(3 - 3 + 2*d**2)*(18 - 7 - 12).\nAnswer: 2*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4359 divided by -1453\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745583.\nAnswer: 59, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 2*x + (-48*x + 90*x + 180*x)*(4 - 2 - 3) - 5*x + 2*x + 5*x + (2 - 5 + 4)*(-2*x + 1 - 1) - 5*x + 4*x + 2*x.\nAnswer: -219*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 - g**2 + 3*g**2 + (-1 + 2*g + 1)*(g + 0*g + 0*g) + 36062 - 36062 - 3*g - 5*g**2 as t + u*g + m*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2525331*v**2 + 3328632 with respect to v.\nAnswer: 5050662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -63\/83, 1, 2619.\nAnswer: -5, -63\/83, 1, 4, 2619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -321\/20 + 79\/5. Put j, -0.23, -0.1 in decreasing order.\nAnswer: -0.1, -0.23, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**6\/6 - 13*n**4\/12 + 13*n. What is the third derivative of u(i) wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 2*d**2 + d. Let o be q(3). Let u = 620 + -1319\/2. Find the common denominator of (o\/(-10))\/((-32)\/330) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000232383 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 + 1479688*v**2 + 13495358*v wrt v?\nAnswer: 36*v**2 + 2959376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 95*a + 129. Let o(m) = -3*m. Let n(f) = k(f) + 4*o(f). What is the derivative of n(y) wrt y?\nAnswer: 83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10655542 + 91655548. Let o be (-6)\/15 + u\/15. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/1315 + 88217\/18410. Calculate the common denominator of c and 43\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50931*a*z**2 - a*z + 27*z + 738 wrt z.\nAnswer: 101862*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64.011 - 64. Let f = -0.989 - s. Let o = 0.2 - -1. Which is the second smallest value? (a) 0.2 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 17*i + 15. Let k = -1598 - -1617. Give j(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283424?\nAnswer: 2, 3, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0231245216 rounded to six decimal places?\nAnswer: 0.023125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7338, -14656, -21974?\n\"Answer: -7318*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, -5\/71, 1, -5, -1\/32.\nAnswer: -5, -1\/2, -5\/71, -1\/32, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 78 = 2*r, -8*t = 3*r - 4*t - 163. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6696855 is divided by 35.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/44067780 and 19\/53860620.\nAnswer: 484745580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 97578 = 3*u, -406*u + 3*q = -401*u - 162641. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881118 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a**3)\/a)\/(a\/a**(3\/7)))\/(a**(1\/2))**29)**(-2\/27) assuming a is positive.\nAnswer: a**(155\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 23 - 357*x**2 - 10*x + 356*x**2 to m*x + o*x**2 + p and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 131065.\nAnswer: 4063015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 11*h**2 - 25*h**2 + 50*h**2 - 10*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(720) - (sqrt(720) - (sqrt(720) + 2))*6) + -1)*-3 + sqrt(720) + 0 + 5 + (sqrt(720) - (-4*sqrt(720) + sqrt(720)))*4)**2.\nAnswer: -9408*sqrt(5) + 141902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 66, 79, 108, 159, 238?\n\"Answer: r**3 - r**2 - r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3565 is divided by 1406?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34620 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*h = 17, -150*b - 3*h = -155*b + 9. Solve 0 = -b*z - 23 + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:44 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (105\/(-28) + -3)\/((-3)\/32048).\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in -3\/11, -2\/19, 2, -0.3, -300?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 815 - 752 = 0 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-65))\/((-3)\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-1)\/(3\/15). Suppose 0*p - a*p = -25. Let v(l) = 3*l**2 + 0*l**3 - p - 7*l**2 + l**3 + 2*l. What is v(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 13*o**7\/5040 - o**6\/720 + o**5\/30 + 2*o**2. Let d(z) be the third derivative of s(z). Is 14 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540c (base 13) in base 2?\nAnswer: 10110110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -11 (c) -8 (d) -17 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2839, -2816, -2795, -2776, -2759, -2744, -2731?\n\"Answer: -s**2 + 26*s - 2864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 830.9767ml in litres?\nAnswer: 0.8309767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25821293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2135014 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*-3 - ((sqrt(125) + 2)**2 - sqrt(5)).\nAnswer: -129 - 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 122.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {m: 5, t: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**3 + 3*s**2 - 3*s + 1. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 86935610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(70\/42))\/(18\/20)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 + -77. Let x = k + 671. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.781217ug to nanograms.\nAnswer: 5781.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16969\/30 - 2802\/5. What is the common denominator of c and -24\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1211212010010 + -10?\nAnswer: -1211212010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13342*o**3 + 13494*o**3 + 13391*o**3 - 40435*o**3.\nAnswer: -208*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 - 1. Let f(g) = 3*g**3 - 2*g + 1. Let o(x) = f(x) + y(x). Let w(s) = -5*s**3 - 2*s**2 + 5*s. What is 7*o(b) + 3*w(b)?\nAnswer: -b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3 - -2) - 1. Sort -5, a, 4.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 136*w - 11. Let p(d) = 39*d - 10. Let g(k) = 3*k - 2. Let j(t) = 4*g(t) - p(t). Give -11*j(i) - 2*r(i).\nAnswer: 25*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kehhkekedkkdk. What is prob of sequence hkh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494679 to the power of 1\/2, to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 13) in base 16?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*5*((sqrt(66) - -2*sqrt(66))*5 + sqrt(66))*-5)\/((2*sqrt(72)*1 - sqrt(72))\/(sqrt(12) - (sqrt(12) - sqrt(36)\/(sqrt(48) + sqrt(3))))).\nAnswer: 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17755241, -17755236, -17755229, -17755220, -17755209, -17755196?\n\"Answer: u**2 + 2*u - 17755244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-9)*(m**1*m)\/m*m*m)**(2\/31) assuming m is positive.\nAnswer: m**(-10\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 x, and 1 r when four letters picked without replacement from xzxrrrxrrrzrxm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 - n**2 - 5*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {u: 12, t: 7}.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 21 = 23*x - 19*x, 2*x + 3 = -f. Which is the nearest to x? (a) 5 (b) 12.4 (c) -2\/9 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 39492?\nAnswer: 434412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (335\/3)\/(2\/6). Let b = -123 + k. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:06 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652928268?\nAnswer: 2, 3, 6659, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/42 and 23\/11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/360 + w**5\/20 - 3*w**4\/4 + 7*w**3 - 8. Let u(r) be the third derivative of a(r). Is u(-12) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {c: 11, o: 9}.\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)\/g**(-10))**(2\/11)*(g**7\/g)\/(g**(3\/5)*g)*g\/(g*g\/(g**(-1\/2)*g*g))*g**(-5)\/g assuming g is positive.\nAnswer: g**(97\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.91 + -0.49. Let u = i + 10. Which is the fourth smallest value? (a) 1\/3 (b) 0.3 (c) u (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19258, 19260, 19262?\nAnswer: 19264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/112261 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1205 (b) 0.3 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8592827 - -8592826.90500102. Let t = -2.505 + 2.6. Let j = t + s. Round j to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -2100?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043234 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddy when three letters picked without replacement from mysdd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2*(-20)\/8. Suppose -q = -r + 1. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19198408 and 7808.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/14 - p**4 - 7*p**3 + p**2 - 21*p + 2. What is the second derivative of f(r) wrt r?\nAnswer: 60*r**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13489, -52018, -116231, -206128, -321709, -462974, -629923?\n\"Answer: -12842*t**2 - 3*t - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -1. Suppose c + w = 4. Suppose -s = 2*s - 12. Put -2, c, s in ascending order.\nAnswer: -2, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - h**2 + 3*h**2 + 5*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 10. Let l be n(-4). Let y be ((-5)\/(-15))\/((-2)\/l). Put -2, y, -4 in ascending order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2))\/d)**32\/(d*d*d**(-3)*d*d\/d**(5\/2)*d) assuming d is positive.\nAnswer: d**(-127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1003681 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12419496*m**2 - 1388*m - 1044 wrt m?\nAnswer: 24838992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1437 - 1311 = 6*g. Solve 18*z - 15 = g*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1991 + -1995. What is the nearest to 0.1 in c, 68, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2. Let c = 203 + -200. Let f(r) = 1 - 4 + 4 - r**2 - 2*r**2 + r**3. Give c*n(v) + f(v).\nAnswer: v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.6236mg in grams?\nAnswer: 0.3306236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -15214\/1211 and -13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*-2786.\nAnswer: -2228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -118*w + 222. Calculate x(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-18)*-4)\/(7\/21).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 8*q - 12. Let j be g(-5). Let u = 32 + -27. Suppose -s + u*f + 18 = 0, 2*f - 10 = -s - f. Solve h - 5*a = -j*a - 6, -s = 3*h - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(800)*-1)**2 + ((sqrt(72)*-1)\/sqrt(12))\/((sqrt(81)\/sqrt(3))\/sqrt(9) + sqrt(3)).\nAnswer: -401*sqrt(2)\/2 + 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 13. What is n(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 9*s + 84. Give a(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1888.4, 148, -1\/3, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcy when three letters picked without replacement from {y: 1, a: 5, j: 2, c: 3, i: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4049546102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6320)\/5688*36\/(-10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, d: 2, a: 8, c: 3}. Give prob of picking 3 a and 1 z.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -692 divided by 205?\nAnswer: -692\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5972 + -5873.59. Let p = -98 + y. Which is the second biggest value? (a) p (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267 minus 16?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(11*b**4 + 3*b**4 - 6*b**4) to h*b**2 + i + o*b**3 + a*b + c*b**4 and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 29*z - 27 - 169. Let u(s) = -s**2 + 23*s - 105. What is u(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*a - 2284 - 1460. What are the prime factors of a?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21982.\nAnswer: 2, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 66.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15100, 14107, 13112, 12115?\nAnswer: 11116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12896 and 589.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474859?\nAnswer: 7, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 - (8 + -10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1\/23, 52, 0.2, -7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -3 + 0*j**2 + 0*j**4 - 3\/5*j**5 + 0*j - 5\/3*j**3. What is the third derivative of a(t) wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 41 + (4 - (-1 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4228 + 13536 = 0. What are the prime factors of a?\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -166, 707, -5 in decreasing order.\nAnswer: 707, -3, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 0. Let o = 0.57 - 13.57. Let k = 13 + o. What is the fourth smallest value in k, d, -0.3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -7405.5 + 7406. Sort 0.07, 0.51, v, -1 in ascending order.\nAnswer: -1, 0.07, v, 0.51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.106422938 - 22.693601662. Let b = a + 22.8. Round b to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 9 - (-25)\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14984?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 13*o**2\/4 - 7*o\/2.\nAnswer: o*(o - 14)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(1\/(-3) + 1). Suppose -4*a - 554 = -3*y, f*y = -3*y + 4*a + 910. Let o = y - 51. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 8, 0.5, -29, -0.03 in descending order.\nAnswer: 8, 0.5, -0.03, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - 4\/(-2)*-1. Let d = 3039 + -3015. What is the highest common factor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3074\/15395 + 1\/3079. Factor 9\/5*n - p*n**2 - 8\/5.\nAnswer: -(n - 8)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94926000 to the nearest 1000000.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.2524 and -0.1.\nAnswer: -0.22524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j**2. Let g(r) be the second derivative of r**5\/60 + 5*r**2\/2 + 4*r. Let c(o) be the first derivative of g(o). Determine p(c(a)).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 433257*q**4 + 973960*q**2 + 1 wrt q?\nAnswer: 10398168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from xixxxxiitittttttt.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -58. What is the first derivative of 27 - 93*l - 18*l**d + 93*l wrt l?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8*(-10)\/(-4) + -1. Let k = -2 - z. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 v when four letters picked without replacement from nnvnnnnnnnvnnnnnnv?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3795364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Let r be (-6 + 11)*2\/10. Which is the closest to r? (a) z (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*w + 179*w + 67 = -320 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*o - 19 = 0, 5*o - 10 = 3*g + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -206873 (base 10) to base 11.\nAnswer: -131477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (6 + 19)) + 59.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)**(2\/25))**(-7\/4) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-13))**(-48)*a**43\/a**(-18))**33 assuming a is positive.\nAnswer: a**21021","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 11 + 3 + 3 + h - 4. Suppose 2*d = 4*d + 12. Give j(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h = -13*h - 10021770. What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 0 + 1 - -2. Let x be (8\/6)\/(2\/y). Suppose -1 + 3 = -x*g. What is the biggest value in 5, g, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 1. Let o be p(0). Let t be 1 - o - (-8 + 6). Suppose -x + 18 = 2*u, -142 = -x - t*x + 3*u. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = -0*n. Suppose n*v = 5*z - 227, 3*z - 2*v - 125 = 2*v. List the prime factors of z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**3 + 4*x**2 - 6*x + 5. Let f(q) = q**3 - q + 1. What is -10*f(w) + 2*g(w)?\nAnswer: 2*w**3 + 8*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 - 6*g**2 + 6*g**2)*(-2*g + 5*g - g) + 2*g**3 - g**5 - 2*g**3 + (-4*g + 0*g + 2*g)*(-g**4 + 0 + 0).\nAnswer: -g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359*q**3 + 351*q**3 - 634*q**3)*(52*q + 12*q**2 - 52*q) - q**5 + 2*q**5 + q**5.\nAnswer: 914*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*16\/4. Let r(c) = -c + c + c - 3 + p. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(4477*a - 1907*a + 2457*a).\nAnswer: 5027*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = 32*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(17)*-3*1 - sqrt(68)*-3 - (2*(sqrt(1088) - sqrt(17)) + (-2 + sqrt(17)*-3)**2 + sqrt(17))).\nAnswer: -154 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8944*q**2 - 4659 wrt q?\nAnswer: -17888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1096 and 113\/420.\nAnswer: 115080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = 2*f + 2, 26 = -4*w + 5*f. Let a(z) = -z**2 - 2*z - 4. Determine a(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14782 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + 3 + 2873\/13. Let z = o - 218. Factor -1\/4*h - 1\/4*h**2 + 1\/4*h**z + 1\/4*h**4 + 0.\nAnswer: h*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 131 = 419. Let l be 4\/(-10) + 465\/(-25). Is p smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.51482 to two decimal places.\nAnswer: 31.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58642336 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*j - 1. Let b be 20\/(-12) + 1\/j. What is the remainder when (0 + -1 + b)*-7 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 + 3*w**2 - 4*w + 10. Let q(h) be the first derivative of -h**4\/4 + 7*h**2\/2 - 5*h - 2. Give -4*q(s) + 5*z(s).\nAnswer: -s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.167 - 0.723. Round b to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -49\/5. Let c = -78272.6 + 78272. Put 0.5, x, c, 1 in descending order.\nAnswer: 1, 0.5, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1441\/11720?\nAnswer: -1441\/11720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Let s be -2 - (o + 1 + -4). Suppose -i + 6 = 4*j, 0*i - s = 2*i - 5*j. Solve -2*g = 4*z + 28, i*z - 14 + 40 = -4*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let c(a) = 16*a - 3. Let g(v) = c(v) - 3*j(v). Let d(h) = -2*h**2. Give d(g(x)).\nAnswer: -338*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 u, and 1 g when four letters picked without replacement from aauaqucauuauuuuuagua?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-4)\/20 + 0). Suppose 14 = r - 5*h, 3*r - b = -4*h + 60. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 1032*h**3 - 75*h + 3*h**2 + 181*h**3 + 841*h**3.\nAnswer: -10*h**3 - h**2 - 75*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -630, -607, -586, -567, -550?\n\"Answer: -b**2 + 26*b - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 7, x: 4, m: 1, t: 1}. Give prob of sequence ee.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1756.32049 to the nearest ten.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8a30f (base 16) to base 6\nAnswer: -20044303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/6 - (-1)\/3. Let s be 8\/(-5)*m\/(-6). Solve -2 = x - s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from fanyfatqynfq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/60)\/2 - 8\/(-12).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Suppose 0 = -l*r - r + 8. Solve -r - 3 + 6*k + 1 - 2*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, 32, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*u - 41*u + 20*u as q + y*u and give y.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1354 + 25 = 105*x - 3031 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 0 - (-18 + 16). Let h be j*(-2 + (-15)\/12*-2). What is the nearest to -1 in h, 5, 2\/23?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 720 - 341. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237662.051 - 237562. Let n = -100 + z. What is n rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((296\/666)\/((-1)\/12))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26141165.\nAnswer: 5, 47, 173, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -x + 202, 790 = -0*x + 4*x - g. Let h be x\/25 + (-64)\/(-800). Calculate the greatest common factor of 76 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -59) + -43 + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 38 + 17)*(21*g**3 - 1861*g + 1861*g) to the form v + b*g + u*g**3 + s*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102221 - -2020101?\nAnswer: 1210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 154600 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 12.0824?\nAnswer: 1.20824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -26. Suppose -15 = m*s, l = -4*l + 2*s + 16. Solve 0*c - 3*y + 7 = -l*c, c = -y + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2807634799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 227. Let s = d - -207. Calculate the highest common factor of s and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 31 - 13. What is the greatest common factor of 67 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 30. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by ((-2)\/3)\/((-2)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 5*n**2 - 4*n**2)*(0*n**2 - 3*n**2 + 2*n**2) - 3 - n**2 - 3*n**4 + 3.\nAnswer: -6*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*y - y - 6, 4*y - 5*u + 24 = 0. Let q(w) = -9453*w**3 + 10*w + 7. Let d be q(y). Suppose -6*j + d - 205795 = 0. Round j to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -53, 0.016, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 2\/9 (c) 0.3 (d) -12 (e) -2 (f) -37.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2510 and -39\/16.\nAnswer: 20080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 36 (b) 2 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*l - 5 + 2, -b = -5*l - 11. Let v(a) = -13*a - 8. Let r be v(b). Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31668)\/(-522)*21\/49.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123435828 - 5*x**2 - 123435828 + 4*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 632*g + 17. Is z(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802020 rounded to the nearest 10000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 559892 = -12*b + 80*b. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o - 1. Let l(a) = -a**2 + 10*a - 10. Let b be l(9). Let c(x) = -7*x**3 - 3*x**2 + 14*x - 7. Let h(p) = b*k(p) + c(p). Factor h(q).\nAnswer: -3*(q - 1)*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 8)*(-9 + 14). Suppose -t + 222 = 14*x. What is the greatest common factor of x and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329626.293*0.5\nAnswer: 164813.1465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671001?\nAnswer: 3, 223667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*k + 2772, 0*h - 2*h + 5*k + 1351 = 0. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1006976, 1006951, 1006918, 1006883, 1006852, 1006831, 1006826, 1006843?\n\"Answer: w**3 - 10*w**2 - 2*w + 1006987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65149 and 1523683?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 5*r + (2 + 3 - 6)*(-2*r - 3 + 3))*(3 - 6 - 2)*(-1 - 2 + 2)*(-5 + 0 + 3)*(-11 + r + 11).\nAnswer: -50*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*j - 43, 0 = 4*q + 5*j - j - 36. Find the third derivative of 5172*d**4 + q*d**2 - 8*d**6 - 5172*d**4 wrt d.\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3643936 divided by -1.\nAnswer: 3643936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/(u\/((u\/u**17)\/u*u)*u))\/u*u))\/u)\/u*(u*u\/(u**29*u))\/u*u**(-28)*u*u**(-9) assuming u is positive.\nAnswer: u**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 330423 (base 5) in base 4?\nAnswer: 2301203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b. Let m = b + 2. Suppose 5*p = -m*t + 25, -t + 0*p = -5*p - 5. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 + z**2 + 68*z - 277. What is w(4)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, p: 2}. What is prob of sequence apap?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755 + 725 = 3*x - 3*u, 4*u = 7*x + u + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 77*f**2 + 259*f - 616. Give x(74).\nAnswer: 2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 224542847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.014 - 4.386. Let h = -1.4 - z. Which is the closest to 0.2? (a) h (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 3)\/(3 + -4). Let p be (t\/4)\/((-1)\/34). Calculate the greatest common factor of p and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 times 17\nAnswer: -4080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 6*h + 1 + 3*h. Let s(c) = -c**3 - 3*c**2 + 12*c. Let p(a) = -s(a) - 6*x(a). Calculate p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*k + 15, k = -2*k + 5*s + 3. Suppose -g + k = -4*g. Does 31 divide 188\/3 + g\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 8, -5*u + 3*s + 0*s - 9 = 0. What is the tens digit of 616\/2 + (-3 - u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 18*z**2 - 4*z. Let t be u(6). Let s = 4214 - 4214. Suppose s*n - 3*n = -t. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28129.261 and 140.\nAnswer: 28269.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1935262 and -0.4.\nAnswer: 1935261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18702 at least 93504\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 2 - 2 + (2 - 2 - 3*r)*(-7*r - r + 5*r) as u*r**2 + p*r + f and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28222097 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*x + 8*x + 57 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((51 - 52) + 0 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1473 - -4403\/3. Put 7, s, 1\/2, 1 in descending order.\nAnswer: 7, 1, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 + 90 + 121 - (-18)\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2 + -0.8. Let n = -11 + 17. Let p = 10 - n. Which is the closest to -0.2? (a) f (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*r + 589*h*r*v - h*v + 4933*r*v + r wrt h.\nAnswer: 4*h*r + 589*r*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) + sqrt(1375) + (sqrt(1375) + 2*sqrt(1375))*-4 - sqrt(1375))\/(sqrt(11) + sqrt(55)\/(sqrt(20)\/sqrt(4)) + (sqrt(11) + sqrt(176) + sqrt(11))*3).\nAnswer: -11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4*2)\/(882\/(-147))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 4*d + 14*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (780\/117)\/(-2*(-40)\/(-288))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324043895 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -75*t + 76*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyhhhshysi. Give prob of picking 1 i and 1 s.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2*z = 52. What is the highest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 7*w + 6. Let m(j) = j**3 - 3*j**2 + j. Let f be m(4). Let n be 20\/(-6)*(-24)\/f. Calculate a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39312 and 44415.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -11.88 in increasing order.\nAnswer: -11.88, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -488 - -486. Let t(c) = 197*c**2 - 13*c - 21. What is the tens digit of t(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847420 = 7*k - 27*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y**2 - 3*y + 7. Is h(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -492975 divided by 2\nAnswer: -492975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-1 + 2 - 3). Let i(m) = -27*m. Let p be i(-1). Let k be (4\/(-12))\/(3\/p). Which is the nearest to o? (a) k (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 4. Suppose r = -4 - 2. Calculate the remainder when 17 is divided by b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 + 255*z**2 + 3847*z - 420. Give y(-110).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 + 68*s + 244. What is o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -12. Suppose 1 = n*y - 5. Suppose -y*b + 32 = 2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-630))\/(-36*(-1)\/14).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 9 = -j, 3*j - 6*j = -c + 16. Let f(d) be the first derivative of d**4\/4 - d + 2. Let w be f(c). Solve w*n - 3*n = -15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4787*q + 9596. Calculate p(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 0*n**2 + 0*n - 2\/3*n**3 + 0*n**4 - 1\/840*n**7 + 0*n**6 + 0*n**5 + 5. Let c(b) be the third derivative of g(b). Factor c(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 3, p: 4, s: 1, f: 7}. Give prob of picking 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**2. Suppose 1 = 2*b - 13. Let a = b + -29. Let i(v) = -v**2 - 3. Let c(q) = -4*q**2 - 11. Let g(r) = a*i(r) + 6*c(r). What is y(g(l))?\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*q - 558 - 4854 + 16. Which is smaller: q or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 28 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**2 - 3*g + 1. Let j be 2 - (8 - (12 - 5))\/(-1). Let b(m) = -7*m**2 - 4*m + 2. Give j*b(v) - 4*t(v).\nAnswer: 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)*o\/o**(-2)*(o\/(o*o**(-5)))**(7\/8) assuming o is positive.\nAnswer: o**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(20\/3)\/(n\/n**(-1\/6)))**(-15) assuming n is positive.\nAnswer: n**(-165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1836 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 452416 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 37611 - 37611. Let k(x) = 103*x**2. Give k(h(j)).\nAnswer: 412*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 243805, 487155, 730505, 973855?\n\"Answer: 243350*y + 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -18, -31, -44, -57, -70?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 185593*y - 556788.\nAnswer: (y - 185596)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146520749 - -74?\nAnswer: 74.146520749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/8))**(-21)\/(d\/d**(-8\/5)*d**(-5\/6)) assuming d is positive.\nAnswer: d**(733\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 9*h - 11*h - 18, -10 = 5*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 5*l + 14*l to o + j*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.102 * 0.9\nAnswer: -0.9918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(6\/5)\/s*s)\/(s\/(s\/(s\/(s*s**12)))*s))\/(s**(-1)*(s*(s**5\/s*s)\/s)\/s))**(-6\/7) assuming s is positive.\nAnswer: s**(-276\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = -5*c + 16, -704*t = 5*c - 705*t - 28 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215901 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506158 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 1295 = 13*s. Let w = s - -18. Suppose -79 + w = 3*j. What is the greatest common factor of 44 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**8\/1680 + q**7\/840 - q**3\/6 + 3*q. Let n(l) be the second derivative of t(l). Suppose n(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*o + 5*i - 1018799980, 84900016 = o + 9*i - 13*i. Suppose -2*t - 80 = -7*t. Suppose -o = 19*m - t*m. What is m rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00429276 + -907088\nAnswer: -907088.00429276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12547164*u**2*z**3 - 171*u**2*z**2 - 7*u*z - 6*u + 248*z**2 + 2 wrt z?\nAnswer: -75282984*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**4 + d**2*f - 29*d + 2548*f wrt d.\nAnswer: 12*d**3 + 2*d*f - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - 2 = -4*r - 16*c, -4*c + 12 = 0. What is the third smallest value in r, 1\/20, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9 = -3*u - 5, 2*u = -8. Solve -3*r = -6, -p*r = -2*t - 4*r + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78934 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(8\/9)\/a)\/(a*a**(-3\/2)))\/(a*a\/(a*a**(-1\/7)))**(-12))**(5\/14) assuming a is positive.\nAnswer: a**(8885\/1764)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.038804 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -2\/3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ezzbezebbezzzezeeb. What is prob of sequence zzzb?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590574.7nm to micrometers.\nAnswer: 590.5747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 313 divided by -40.\nAnswer: -313\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 85 = -4*q. Let r = q + 21. Let z(m) = 2*m**3 - 6*m**2 - 9*m + 5. Let l be z(r). Solve 5*j - l = 2*w, 6*w - 5 = 3*w + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188.83 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**4 + 8*f**3 + 585*f + 1?\nAnswer: -60*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 13*f**7\/21 - 13*f**4\/6 + 23*f. What is the third derivative of i(m) wrt m?\nAnswer: 1560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1034247.837+-1\nAnswer: -1034248.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671924 is divided by 95981.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -22 - (-14)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -98 (b) -0.3 (c) 1\/2 (d) 1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 4*w**2 - w**2 + 8)*(-w - 2*w + 4*w) + (-1597*w + 2*w**2 + 998*w + 965*w)*(0 + 0 + 2*w) to the form i*w + d*w**2 + r*w**3 + v and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 5*w + 31 + 3*w. Let s be z(-11). Solve 0 = -5*v - 6 - s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 2\/5, 1\/2, 4\/7, -61\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649 + 48 = -54*x + 49 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96435010 by 19287002.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/d**(-3\/2))\/(d**0*d)**20*(d**(-1)*d)**(-3\/10)*d*d**(-1)*d\/(d\/(d\/(d**(-7)*d*d)*d)) assuming d is positive.\nAnswer: d**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**5 + 0*r**5 - 8*r**5 + (2 - 2 + 2)*(-r**5 + r**3 - r**3) - 87*r**2 - 4*r**5 + 87*r**2 + (-2*r**4 - r**4 + 4*r**4)*(0*r - 2*r + 4*r) + 2*r**5 - r + r.\nAnswer: -r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {m: 1, s: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 15*l + 18. Suppose 0 = 9*m - 1108 - 1052. Suppose 30*k + m = 15*k. Calculate j(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79703331?\nAnswer: 3, 26567777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**7\/5040 - n**6\/144 + n**5\/10 + 3*n**2. Let z(b) be the third derivative of g(b). What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + u**3 + u**3 - 5*u**3 + 5*u**3 wrt u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 9, 38, 87, 162?\n\"Answer: j**3 + j**2 + 5*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -577\nAnswer: -12\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x + 3*x + 4*x**2 + x**3 - 5*x**2 + x to the form k + w*x**2 + u*x**3 + z*x and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 736 - 732. Let h(u) = -u**3 - u**2 + u. Let k be h(-1). Let j = -0.059 - 0.941. What is the nearest to k in 1, b, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10963, 1 in descending order.\nAnswer: 10963, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 4 = j, -96925*g + 314 = -96920*g + 76*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/5 - 25228*a\/5 + 10443747\/5 = 0.\nAnswer: 421, 24807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3093 - -3053) + (-2 - 70)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 88\/14 - (-2)\/(-7). Let n be 69 + -58 + -7*1. Solve -n + j = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 890.895 + -891. Let t = 0.505 + -0.5. Let i = z + t. Is i < -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 222?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926024736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(272))**2 - (sqrt(17) - 5*sqrt(119)\/sqrt(7)) - (4*-2*sqrt(153))\/(-3*sqrt(36)).\nAnswer: 8*sqrt(17)\/3 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7*o**3 + 49761*o - 25184*o - 24577*o + 1.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/5))**(-7\/9) assuming z is positive.\nAnswer: z**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 3*v - 715176*v**2 + 52647*v**2.\nAnswer: -662529*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7575 divided by 1.\nAnswer: -7575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 3*h**2 + 3*h. Let b be v(2). Suppose -5*o = 2*f + 3*f - b, 0 = o - 4*f - 7. What is the derivative of d - 2 + 3 + o wrt d?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.26114 or 6860?\nAnswer: -0.26114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/17626721 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 1\/28*q**5 + 0 + 0*q**3 + 0*q - 9*q**2 - 1\/98*q**7 - 1\/28*q**4 + 1\/140*q**6. Find t, given that k(t) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let y(q) = -703*q**2 + 2232*q**2 + 1298*q**2. Determine y(z(b)).\nAnswer: 11308*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + u**2 + 2*u. Let w be g(3). Let r(n) = -8*n - 3. Let l be r(-3). What is the units digit of w\/l - (-3)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -25*s**3 + 2*s**2 - 42*s + 86. Calculate j(3).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19254 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: How many minutes are there between 3:37 AM and 7:20 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -400*d**4 - 2*d**2 + 466*d.\nAnswer: -4800*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067817 to three decimal places.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7533.8607 to the nearest integer.\nAnswer: 7534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6*h)*(h**2 - 5*h + 4*h - 4*h**2).\nAnswer: -18*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {w: 1, f: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 11. Let o be s(-2). Put 0.06, 5, o, -0.4 in decreasing order.\nAnswer: 5, 0.06, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1135*i + 7138. Give j(-10).\nAnswer: -4212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 36*f - 214. Is a(8) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 3 = -9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1 - 13 - 2*c + 6*c. Let p be a(12). Find the second derivative of p*u**2 - 4*u**5 - u - 36*u**2 wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (11 - -3) - 5 - 25.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let o = 1 - 2. What is the nearest to o in -0.1, q, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.93*-4378.6\nAnswer: -4072.098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**4*l)\/(l*l**(-1\/7)))**(-6) assuming l is positive.\nAnswer: l**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14 = 2*p, g + 1 = -0*p + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/5)\/(c*c*c*c**(-14\/5)*c)*c**39\/c**29)**(24\/7) assuming c is positive.\nAnswer: c**(1152\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, d: 7}. Give prob of picking 3 y.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3430)\/(-392)*4\/14 - 22\/9.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16927*d**3 - 8460*d**3 - 855 + 855 - 8465*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(sqrt(1377) + 1*sqrt(1377)) + sqrt(1377)))**2.\nAnswer: 446148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 89.000424. Round a to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3872\/3259?\nAnswer: 3872\/3259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -203980 divided by 124\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 2*p + p + (1 - 1 - 4)*(-5*p + 3*p + 9*p + (3 - 6 + 2)*(173 - 45*p - 173)) in the form a + n*p and give n.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 0*u**3 + 9\/40*u**6 + 0 + 1\/20*u**5 + 0*u**4 - 1\/210*u**7 + 0*u + 38*u**2. Find the third derivative of z(w) wrt w.\nAnswer: -24*w + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(21\/4)\/f*f*f**(-15))\/((f*f**(-10))\/f)**(16\/7) assuming f is positive.\nAnswer: f**(367\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 105*x - 2. What is the units digit of t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937913 divided by -5?\nAnswer: -937913\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 2. Let z = 129 + -117. What is the remainder when n(7) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1210*f**2. Let p(j) = -3*j. Calculate a(p(o)).\nAnswer: 10890*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/(4*(-6)\/108).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**5 + h**3 + h**2 + h - 1. Let g(z) = -9*z**5 - 6*z**3 - 4*z**2 - 3*z + 20. Let x(u) = 4*d(u) + g(u). What is the second derivative of x(t) wrt t?\nAnswer: -260*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 + 10*p**2 + 3*p - 23. Let h be i(20). Solve 1 - 10 = h*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from vvdw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2889 and 6183?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0, -2\/9, -2\/15, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6772367 is divided by 140.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**4\/12 + 5*r**3\/3 - 25*r**2\/2 - 106*r - 6. Find z, given that n(z) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.82 * 0.313\nAnswer: 2.44766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -13.79. Let n = 0.11 - u. Let d(t) = -t**2 - 7*t + 6. Let f be d(-8). What is the third smallest value in f, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 13*u - 4. Let m be l(-6). Suppose -3*k = -n - 32, -11 = -m*k + n + 10. What is the remainder when 20 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - a - 6. Let n(f) = -2*f**3 - 3*f - 13. Let u(q) = 4*n(q) - 9*p(q). Solve u(l) = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 225*j - 426. Let z be p(-43). Let n be 4\/14 + 38\/14. Solve y + 3 = -2*q, -z*q + y - 36 = -n*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227*u + 110 = -1217*u. Solve -u*c + 77 - 33 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182848657 and 1327.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393808 is divided by 56199.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-364)\/(-21) - 2\/(-3). Let o be (-6)\/(-1)*9\/r. Suppose 4*y - 4*h + 12 = h, -y - o*h + 14 = 0. Which is the nearest to -2\/3? (a) 0.07 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/3, -0.2, -13, 3.6, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(sqrt(190) + sqrt(190)*-2))\/(sqrt(70)\/(1*sqrt(7))) + (sqrt(1900) + sqrt(1900) + 0 + 2 - (4 + -1*sqrt(1900)))**2.\nAnswer: -115*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*i**2*j**2 - 9*i**2 - i*j**2 - 62*i*j + 2 wrt j.\nAnswer: 162*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7099 is divided by 2344?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/5, -2\/11, 0.1, 2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/69)\/(((-2)\/15)\/((-612)\/(-170)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*n + 84*n + 3 + 3 - 3 - 2.\nAnswer: 211*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 12 - 9*v + 2*v)*(2 + 14 - 5) to the form x + n*v and give n.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*3*8\/(-300). Let x = l - -3\/25. Let c = 41 - 43. What is the third smallest value in c, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484632 and 576.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1\/10, -46, 0.04, 2\/13, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*l - 600, -2*u - 2*l - 381 = -7*l. What is the common denominator of (-3*23\/(-4))\/(-6) and (-105)\/(-99)*u\/(-88)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 486 = 3*h, 4*h - 5*s - 122 = 3*h. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 67*i - 2331. What is l(26)?\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8230 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 14 - 7*h**2 + 3*h + 0*h - 7*h + 6*h**2. Let q be w(-6). Suppose 2*n = -q*u + 120, 3*u + 0*u = -6. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 5*f - 20. Let z = 16 - 16. Suppose u - 18 = -u - 5*l, z = -u - 2*l + 9. Let n(b) = -b**2 + b - 5. Let s(r) = u*n(r) - 2*m(r). Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 91722, -4\/7, 5, 1.1 in ascending order.\nAnswer: -2, -4\/7, 1.1, 5, 91722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 0, -10 - 3 = -4*k + 5*y. Let n be (-5)\/((-15)\/(-12)) + 1. Let g = 1 + n. Is g >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 24*h + 20*h + 4 = -32, -8*h = 3*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2199.5 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(6)\/(sqrt(36)\/(-2*sqrt(12))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 731238850 and 1700.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25.52 or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 6. Let v be u(5). Let g be (v + 0)\/((-19)\/(-705)). Let s = g + -37. What is the second smallest value in s, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -7\/12 in descending order.\nAnswer: 1, 0.3, -7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -515?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, c: 2, t: 8}. Give prob of sequence bt.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598788, 1197572, 1796356, 2395140, 2993924, 3592708?\nAnswer: 4191492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116.01 + -125.2985. Round q to 1 decimal place.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.25 (b) 0.5 (c) -7 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 15*a - q + 1, 3*q = a + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -6 + -5 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose -2*h + 10 = -6. Suppose w - h = -0*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2718702 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 23. Let x be i(9). Suppose f - g - 4 = 0, x*f + 2*g = 13*f - 11. Let l(c) = -5*c. What is l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4233.78 * 25.2.\nAnswer: -106691.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/44330220 and -22\/255.\nAnswer: 44330220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12260 is divided by 326.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -7389\/52318 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -53 - (-1340 - -1305).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/3 (b) -0.005 (c) 0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0*f + 0 - 3*f**2 + f**3 - 1\/24*f**4. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 + 19*m - 2. Let v be w(3). Let g = 8 - 10. Let r = g - -7. Solve v = 4*a + r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -505*u**6 - 612*u**2.\nAnswer: -60600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1934065?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 69, 77, 79, 69, 41, -11?\n\"Answer: -k**3 + 3*k**2 + 6*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47.3 - -47. Which is the nearest to d? (a) 1\/7 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1469 - -1513. Let r = 15 + -15. Suppose -4 = -2*y - 3*w, 3*y + 4*w + 3 - 10 = r. Calculate the remainder when j is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 15*j - 4 = 0. Suppose 22 = 14*v - 6. Suppose -j*s - 3*o = -78, 2*s = v*o + o + 90. What is the greatest common divisor of 105 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q**2 + 30*q - 62. Let l(t) = -7*t**2 - 10*t + 21. Let w(n) = -n**3 + 32*n**2 + 107*n - 81. Let b be w(35). Let h(k) = b*l(k) - 4*x(k). Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15012 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 3*j + 8. Let n be q(4). Suppose o + 5*a - 1619 = 0, 4 = -2*a - n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470449 is divided by 571.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 3\/5, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*k + 211019 = 12*k - 33841. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 4) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 17*z + 21. What is o(15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-168))\/(226\/(-3164))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6400060 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -669, -1132, -1905, -2988?\n\"Answer: -155*f**2 + 2*f - 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*o = -365*o + 4*v + 9744, 0 = -2*o + 3*v + 4872. What is the lowest common multiple of 812 and o?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 302384143\/402508 - 2\/100627. Let t be (-4)\/(-64)*(-1 + 11899). Let o = t - z. Find the common denominator of -85\/16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -126*z**3 - 6*z**2 + 5*z - 20. Let d be b(-6). Let t be d\/(-63) - 4\/18. Let l = -296 - t. Calculate the highest common factor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -430, -243, 66, 497, 1050, 1725, 2522?\nAnswer: 3441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 15*f**2 - 22*f - 25. Determine i(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 42*l**2 - 47*l + 46. Let y be a(29). What is y rounded to the nearest one hundred?\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16486 - 16483. Which is the second smallest value? (a) -415\/3 (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -397, -488, -601, -742, -917?\nAnswer: -1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-24048)*(-1048)\/18. Let f = -44\/19 + 22082\/9519. Let z = k + f. Is 1 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 282046112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132454 is divided by 41937.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 12:12 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*s + 4, -27 = -5*j + 5*s - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32))\/(5\/5)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/128)\/(927\/2060).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - u**2 + 2*u**2)*(-5 - 4*u + 5)*(0 - 3 + 2).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1. Let j(u) = -5*u**3 + 5*u**2 - 5*u - 1. Let b(i) = 14*i**3 - 14*i**2 + 14*i + 3. Let m(a) = -6*b(a) - 17*j(a). Calculate -2*c(y) + 2*m(y).\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*(10\/4 + -3). Let p be a - (-2 - (5 + -2)). Suppose -r - p = -2. What is the nearest to 1 in -2, r, -3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/9 - 32*b**4\/9 - 56*b**3\/3 - 332*b**2\/9 - 278*b\/9 - 28\/3 = 0. Calculate b.\nAnswer: -7, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 38*r**2 + 74*r - 938. Give l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2121048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 460643378 plus -4942?\nAnswer: 460638436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) - 159\/60. Are 1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 19*b**3 - 2*b**2 - 3*b + 1. Calculate the remainder when a(2) is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 124 = 2*b, b + 3*b - 248 = -5*h. Suppose 0 = -4*x - 5*q + 441, -2*x + b = -5*q - 151. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1206 and -115\/617334.\nAnswer: 124084134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**(-3\/4))\/h*h*h**1)\/(h*h**0)**49 assuming h is positive.\nAnswer: h**(-181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 172*n + 19. What are the prime factors of g(4)?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039 take away 17427031006?\nAnswer: -17427032045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 50915 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 27, 65, 181, 417, 815?\n\"Answer: 7*u**3 - 3*u**2 - 2*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - l - 11 + 14 - 25*l**2 as t*l + x*l**2 + r and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -271?\nAnswer: -9\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1 - 4\/8*-4. Let f be -4 + -2 - z - 9. Let q(p) = p**3 + 5*p**2 + 3*p - 4. Let u be q(-3). Which is the smallest value? (a) u (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 1274 = -66. Suppose 5*a - b = 65. Suppose -2*h = 3*h - a. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 38788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by -6.\nAnswer: 89\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-18)\/135)\/(378\/(-810))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06*0.105.\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57\/44 - -941\/132. Let m = -27346 + 27346. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -0.1753076?\nAnswer: 0.00876538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -297, 109, 785, 1731, 2947, 4433, 6189?\n\"Answer: 135*s**2 + s - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.01 and 186029853.\nAnswer: 186029853.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, y: 2, d: 2, s: 2, i: 7, f: 2}. Give prob of picking 1 n, 1 y, and 2 s.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19969122 is divided by 1133?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617 (base 12) in base 16?\nAnswer: -a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*((-4)\/3 - -1). Let z(u) = 2*u - 9. Let d be z(m). Suppose 0 = -8*a - 36*a - 132. Put -4, d, a in descending order.\nAnswer: d, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35\/2 - 173\/10. Let m = 3 - 7. Let v = m - -1. Which is the nearest to -2\/7? (a) -2\/5 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 smaller than 2685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 28*s**2 - 3*s + 242. Let q(i) = -28*i**2 + 2*i - 212. Determine 3*q(d) + 2*y(d).\nAnswer: -28*d**2 - 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, m: 4, w: 5, i: 4, e: 1}. What is prob of picking 1 n and 1 e?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -268*c - 21. Let x(j) = -270*j - 24. Determine -7*v(t) + 6*x(t).\nAnswer: 256*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 + 10*j**3 - 15*j**2 + 0*j**3 + 15*j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*m - 4 = 0, 20 = -4*h + 5*m - 8*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -4*c**6\/45 - 19*c**5\/15 - c**4 + 5*c + 860. What is j in h(j) = 0?\nAnswer: -9, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*(0\/2 - 1). Suppose y + x - 3*x - 14 = 0, -5*y + 2*x + 86 = 0. Let z = d + y. Solve z - 6 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -59*o + 461. Calculate x(12).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**4 + 2*n + 2 + 15*n**2 + 13*n**2 + 3*n**3 - 32*n**2 to d*n**4 + l*n + z*n**3 + s + r*n**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -342 - -348. Solve u = 4*m + 7, -3*u = 2*m - u + o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w + 155 = 254. Let g(n) be the third derivative of 0 + 0*n**5 + 23*n**2 - 1\/210*n**6 + 0*n + 0*n**w + 2\/21*n**4. Factor g(l).\nAnswer: -4*l*(l - 2)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.1 - -37.98. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857.5 greater than 0.025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 38 in descending order.\nAnswer: 38, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-156)\/65 + 3)*3989*(-5)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 5*s + 12. Let r(i) be the third derivative of 0*i - 1\/6*i**3 + 0 + 1\/12*i**4 - 1\/60*i**5 - i**s. Let r(c) = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/7)\/((-4)\/(-28)). Suppose 0 = -r*i + 4. Suppose i*d + 5 = 7*d - 3*l, -2 = -2*d + l. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 4:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:48 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 136.5379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 491*g. Let w(t) = 4*t. Determine w(z(o)).\nAnswer: 1964*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 25*k + 12*k + 13*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -12) + -10 + (-8 - -16 - 2) - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -305*f + 35. Let t(q) = -51*q + 6. Let i(b) = 6*a(b) - 35*t(b). Let x(l) = 3*l**2. Calculate i(x(y)).\nAnswer: -135*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -79*d + 247. Let z be i(5). Let y = z - -202. Calculate the remainder when y is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(312)\/(sqrt(72)\/(sqrt(18)\/sqrt(3))))\/(sqrt(4)\/(-1*sqrt(2)) - 6*2*sqrt(2)))*-2.\nAnswer: 2*sqrt(13)\/13 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.762 take away -0.4?\nAnswer: -30.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42471655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/27 and -1\/435.\nAnswer: 3915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6564?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + (6*-2*sqrt(112) - ((sqrt(112)*2 - sqrt(112)) + 3)))*1)**2.\nAnswer: 1664*sqrt(7) + 37984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/(-5) - 2\/1. Let k be (-10)\/v + 10\/(-30). Factor k + 8\/9*t**2 - 10\/9*t.\nAnswer: 2*(t - 1)*(4*t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2057) - sqrt(2057))*6)**2*-5.\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1449)\/(-42) + 1\/2. Suppose 13*p - 8*p = z. Suppose 0 = u - p + 8. Is -4 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(11\/3)*i)**(38\/7) assuming i is positive.\nAnswer: i**(76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.91 - -3. Let h = g + -0.0935. Round h to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 11}. What is prob of sequence xe?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6.225, -1\/2, -568, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -558.36 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 20 + 65. Let g be ((-72)\/45)\/((-6)\/v). Let i(y) = -y. Let n(x) = x. Determine g*n(f) - 5*i(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15639, -31289, -46939, -62589, -78239?\nAnswer: -93889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 2) + -6 + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**3 + 2*g**3 + 3*g**3)*(-89*g + 142 - 74 - 69) to s*g**4 + n*g**3 + o*g + y*g**2 + k and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 + -113. Suppose a*q - 499 = -3*w, -q - 3*w + 55 = -72. Let g = q - 54. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -w + 1. Let p(n) = -2*n**2 - 16*n + 3. Does 6 divide p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**3 - 18*x**2 - 7*x + 14. Let h(y) = y**3 + y**2 + y - 2. Calculate d(w) + 7*h(w).\nAnswer: 3*w**3 - 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27947980 to the nearest integer?\nAnswer: 5287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y + 8. Let p be 6*(y\/3 + 1). Suppose -d + p = 4*d. What is the lowest common multiple of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15523266 and 14.\nAnswer: 108662862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4\/12 - i**2. Let p = 0 - -5. Let l(x) = 2*x - p*x + 0*x. Determine r(l(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 61*h - 185*h**2 + 18*h + 5*h.\nAnswer: 2*h**3 - 185*h**2 - 38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29690?\nAnswer: 2, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*g - 29 = g. Suppose -3*j + 2*j = 5, 5*v = j + 5. Is 5 a factor of g + v - (-70)\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32631 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/25 of a litre?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -355 - 4447?\nAnswer: -4813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 21 - -47 - ((0 - -3) + (10 - 14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.994273um?\nAnswer: 0.0000994273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83315 is divided by 16639?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 0. Solve -4*p - 5 = -r*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 493 - 204?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a - 1849 = -u, 5*a - 5*u = 2305. Suppose 9*j + 105 + a = 0. Is -62 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*f - 5*m, 2*f - 2 - 3 = -m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31202621*w**3 - 31202619*w**3 + 7988*w**2 - w - 7988*w**2 + w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:22 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 4, n: 1}. Give prob of picking 1 n and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/84)\/((-10)\/14)*(-252)\/189\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7, 84, 205, 364, 555?\n\"Answer: -t**3 + 28*t**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443719 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10170, 10259, 10408, 10617, 10886?\n\"Answer: 30*p**2 - p + 10141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*f - 8*f**3 - 77*f - 157*f**3 - 148*f - 102*f wrt f?\nAnswer: -990*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rckn when four letters picked without replacement from {n: 1, r: 2, k: 8, o: 4, c: 4}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*c + 4*p, 59*p = -3*c + 57*p + 89. Calculate the least common multiple of 174 and c.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 - 35*j - 54. Let b be z(-16). Let o be b\/12 + (-18)\/(-4). Factor 0 + 0*n**2 + 2\/3*n**5 - 4\/3*n**3 + 0*n - 2\/3*n**o.\nAnswer: 2*n**3*(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 2*w)*(5*w**3 - 2*w**3 - 2*w**3) - w**3 + 3*w**4 - 4*w**3 + 6*w**3.\nAnswer: 5*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31860 by 18.\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1557\/16885 - -2\/1535. What is the closest to 0 in -11, u, -8, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 - 2145\/8. What is the common denominator of -61\/10 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/(3*(-4)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6583 rounded to 2 decimal places?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 175, 91102 in descending order.\nAnswer: 91102, 175, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i**2 - 42*i**2 + 22*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4517500.2 rounded to the nearest one hundred thousand?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121021 (base 4) in base 12?\nAnswer: -5809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:32 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -29. Let k(z) = -z**3 - 13*z**2 - 13*z - 7. Determine k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -7*o**2 - 55*o**4 + 45*o**3 + 20*o**4 - 3*o**2 = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3151 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 37*x - 2. Let w(n) = -n**2 + 108*n - 6. Give 11*g(y) - 4*w(y).\nAnswer: 4*y**2 - 25*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/y)\/(y*y**3\/y)*y**(-21)*(y*y*y*y*y**12*y*y)\/y*y assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 1. Let r be o(-2). Let c = 4 + -2. Let m(p) = -r*p**c + 4*p**2 + 0*p - 1 + p. Let i(w) = -w**3 + 2*w**2 + w. What is -i(t) + m(t)?\nAnswer: t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11*q - 59 = 16*q, 5*t + 4*q - 266 = 0. Calculate the remainder when t is divided by (-18)\/(-4)*(-30)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -289, -607, -1041, -1591, -2257?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g + 6*g - 7*g - g. Let n(w) = -w**2 - 8*w. Let m(f) = 3*f. Let i(o) = -8*m(o) - 3*n(o). Calculate i(y(l)).\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -820bb9 (base 14) in base 10?\nAnswer: -4381743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/45)\/(2\/(-12)*-2). Let q be 2\/(-20)*-24 + s. Let k = 4 - 9. What is the closest to -1\/2 in q, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 19267?\nAnswer: 5\/19267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 160.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -68 in -1\/7, -2, -2\/33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 50*w + 121. Does 26 divide g(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 5*b**2 + 11*b + 17. Determine g(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 25. What is the lowest common multiple of 5 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*v - 520 - 1045 = -104 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000598729557 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 200 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101011 + -100110101110?\nAnswer: -1101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1274 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12169 + -12163. Let s(q) = 27*q**2 - 6*q + 36. Let v(d) = 20*d**2 - 75*d**2 - 72 + 4*d + 7*d. Let t(h) = p*v(h) + 11*s(h). Differentiate t(l) wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25511\/8 - 3177. Let l = 12561\/20 - 3151\/5. Find the common denominator of l and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104131 (base 5) in base 13?\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(52)*-4 - sqrt(52))\/(-2*sqrt(144)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13233?\nAnswer: 3, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.0311.\nAnswer: -0.1555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**3 + 2*m**2 + 4*m. Calculate j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + ((sqrt(130) - 6*sqrt(130)*-1)\/sqrt(10) - ((sqrt(13) + 0 - sqrt(13)) + 5 + sqrt(208)*6)**2)).\nAnswer: -37590 - 1165*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -3. Is 2\/(-8) + p\/(-20)*2349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(3\/7)*n)\/n)**19 assuming n is positive.\nAnswer: n**(323\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-11) - (-5463)\/99 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 62*v**3 + v**2 + 6*v + 25475. Is y(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*g - 7 = -11, 5*v + 3*g + 23 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 759970*w**3 - 1519983*w**3 + 760012*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3681*h**3 - 29*h**2 + 46*h?\nAnswer: -22086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32658794 is divided by 5558.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 499037758 to the power of 1\/2, to the nearest integer?\nAnswer: 22339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 36*x**2 + 29036*x + 1748760 = 0.\nAnswer: -741, -590\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 3:01 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2. Let r(n) = -n + 19. Let u be r(9). Suppose 2*k + 3*k - 5 = o, 0 = 5*k - u. Calculate the remainder when f(-2) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*a + 2*a. Let j(r) = 3*r. Let m(i) = 6*i. Suppose 6*q = q, -2*g = -2*q - 6. Let d(l) = a*j(l) + g*m(l). Let z(n) = 2*n. Determine d(z(v)).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/8)\/((w**(-6)\/w)\/w))**(-1\/10))**(1\/17))**(-8) assuming w is positive.\nAnswer: w**(61\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, -174, 0.4, 2\/7 in decreasing order.\nAnswer: 0.4, 2\/7, -1, -3\/2, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000340599 rounded to 6 dps?\nAnswer: 0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -141 and -0.05?\nAnswer: 140.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.7461 times 2\nAnswer: 1.4922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -22, -21 in decreasing order.\nAnswer: 2, -5, -21, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*l + 5 + 489, 0 = 2*l + 3*u - 206. Let g be l\/6 + (-2)\/(-6). Suppose 3 = 4*q - g. Solve q = -2*v + 6*f - f, 3*v + 19 = -4*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33 - -1)*(2 + -1). Let h be -7 + 4 - -3 - -4. Suppose -5*d + 163 = h*f, -f - 122 = -4*d + 21. Which is greater: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:28 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*m**2 - 30 + 30)*(-5*m**2 - 6 + 6)*((m + 0*m - 2*m)*(1 + 4 - 3 + (3 - 5 + 1)*(-2 + 5 - 2)) + 3*m + 2*m - 6*m).\nAnswer: 200*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -3.01. Let o = 0 + f. Let y = -7 + 4. Which is the smallest value? (a) y (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 9*b**2 - 11*b - 7. Let p be m(-10). Suppose -3*t**2 - 4*t**2 + p*t**2 - t + 5*t**2 = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*b**3 - 78 + b + 38 + 40 to q*b + n*b**3 + a*b**2 + j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 20 = 4*b + 5*s, -4*b = s - 17. Suppose 0 = -5*n - 4*f + 324, 5*f = n + b*n - 360. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-731)\/1020 + 4\/5 - 45\/(-108).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106944678 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1355)\/10298*(-4)\/(-5).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 33 = -7*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.8 (b) 238 (c) -338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-104))\/(6\/(-78)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 30. Suppose 4*u - 558 = -5*c - 533, 0 = -3*u + 15. What is the highest common divisor of c and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whmbmwszwss. What is prob of sequence ms?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2212, -2234, -2256, -2278, -2300?\nAnswer: -2322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*2 + (-5*(sqrt(170) + sqrt(170)*-3) - sqrt(170)))\/((1*(sqrt(70) - (sqrt(70)*-1 + sqrt(70))) + sqrt(70) + sqrt(70))\/(sqrt(14)\/sqrt(32))).\nAnswer: 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 0.230489 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -928 = -379*a + 296*a + 1479 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 0*f + 3*f)*(-6*f + 6*f - 4*f**3) - f**4 - 3*f**4 + 2*f**4.\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gkggggkkkggk.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*23\/(-138)*84?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiyyt. What is prob of sequence tiy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 5*s - s)*(-2 + 1 - 4*s + 6*s) as i*s**2 + d + z*s and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 41, 10, -45.9, -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -0.4, 2, 4, -253.06 in descending order.\nAnswer: 4, 2, 0.02, -0.4, -253.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(448)) + 4*(sqrt(448) + -2))**2 + (sqrt(448) + sqrt(448) + (sqrt(448) - -6*4*sqrt(448)) - sqrt(448))**2 + -3.\nAnswer: -512*sqrt(7) + 331533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 + 85. Put -2, 1, -16, t in descending order.\nAnswer: t, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -36305 and 0.13.\nAnswer: -36304.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 1, 5.\nAnswer: -7, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23657585?\nAnswer: 5, 7, 675931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 78730511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 27*v. Let r(w) = -4*w. Calculate g(r(m)).\nAnswer: -108*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.9 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-36))\/((-132)\/(-99)). Put d, 2\/3, -1, -5, 0.3 in descending order.\nAnswer: 2\/3, 0.3, d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403140024 (base 5) to base 2.\nAnswer: -110001010010010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p\/p**(-2\/61))\/p)\/p)\/(p\/p**(1\/35)))\/(p**(-22)*p\/(p**(-9)\/p)))**(8\/5) assuming p is positive.\nAnswer: p**(171848\/10675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/60*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2466 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 14*x - 48. Let f be n(-6). Suppose 0*b + 2*b = 750. Suppose f = 2*u - 431 - b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -13, -90?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from fffffffbfffffffffffb.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1200 and 210.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -29*l - 8*l. Let t = 2 - 1.96. Let y = -0.96 - t. Which is the smallest value? (a) y (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39574*s**5 - 1510*s - 1.\nAnswer: -791480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7 - 1859\/99) + 13 and (-178)\/93 + (-5)\/(-15)?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 23. Suppose -5*v = 4*u - w, -4*v - 2*u + 29 - 9 = 0. What is the third derivative of -3*m**3 + 0*m**3 + m**3 + v*m**2 wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6*(-42)\/(-4))\/(294\/(-84))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -399\/472315?\nAnswer: -399\/472315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 11. Suppose -v + 99 = 3*y, 5*y - 5*v - 174 + 9 = 0. Suppose y = 4*z - 4*f + o, -3*f = -3. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7648*y + 20. Let k be s(6). Let c be (k\/(-40))\/(1 + 0). Let v = c + -1143. What is the common denominator of v and 93\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -402 + 605. Let p = q - 201. Solve -p*d = d + 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i - 98*i - 345*i + (3 - 1 + 0)*(-3 + 3 - 2*i) to k*i + d and give k.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*l - 88, -2*l + 56 = 5*g + 462. Let v = g - -151. What is the greatest common divisor of v and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1173, -2, -1 in decreasing order.\nAnswer: -1, -2, -1173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**3 - 5*k**2 - 7*k - 4. Let l(o) = o**3 - 7*o**2 + 8*o + 7. Let n be l(5). List the prime factors of p(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 5648075*j**2 - 1595029088135*j - 4785138097215.\nAnswer: -5*(j - 564809)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -a90?\nAnswer: -a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1393 = -4*u - 141. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -o**5\/20 + o**4\/12 - o**3\/6 + 7*o**2 - o + 1. Let t(u) be the first derivative of y(u). What is the units digit of t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -11. Let s = 19 - f. Suppose -s*r = -b - 13, -2*r = -3*b + 2*r - 6. Calculate the greatest common factor of 14 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {e: 5, s: 1, a: 4, m: 3, f: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 1. Let n be y(2). Suppose 2*g + 13 = -5*p, -2*p - 5*g + 14 = -n*p. Put 5, 3, 7, p in ascending order.\nAnswer: p, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 49955970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:32 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y + 2. Let a(u) = 4*u - 1. What is 4*a(r) + 3*n(r)?\nAnswer: 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from {x: 2, b: 2, w: 1, t: 4, i: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/15 and -17\/675.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 42. Suppose -3*v = -0*r + r + 3, 0 = -v - 4*r - g. Let a(n) = -n**3 + n**2 + n + 5. What is a(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*5*10\/25. Let q(o) = -4*o. Determine q(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 347 + 0*s**3 + 3*s**3 - 346 + s**3 - 3*s**3. Let p(o) = -8*o**3 + 1. Let f(h) = -h**3 + 1. Let t(m) = 3*f(m) - p(m). Give -t(j) + 3*z(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7062)\/75328)\/((-6)\/(-10)).\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 9:47 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:01 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 2 + (-1 - 3). Let t(c) = 3*c**3 + c**2 - 2*c + 1. Let w(u) = u**2 - 6*u + 1. Let p be w(6). Let l be t(p). Put l, -1, a in decreasing order.\nAnswer: l, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3953 and -70\/531?\nAnswer: 35577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (29 - 33) + -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 14. Let f be p(10). Suppose 0 = 2*t - 4*t + f. Suppose -5*s + 140 = -3*w, t*s - 4*w + 22 = 117. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(833) + 0 + sqrt(833)))**2.\nAnswer: -448*sqrt(17) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -19*n**6\/3 - 21*n**4\/2 + n**3\/3 + 7489*n**2\/2 - 4515. What is the second derivative of o(c) wrt c?\nAnswer: -760*c**3 - 252*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -267*x + 7*x - 158 + 1718. Solve 19 = -x*i + 25 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -76\/3 + 2\/3*k**2 - 74\/3*k = 0.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 23*m + 183 = -429. What is the highest common divisor of m and 7884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*h + 28, 0 = 2*h - 0*r - 4*r + 24. Suppose 4*t + 16 = 0, -23 = n - 2*n + 2*t. Let u = h + n. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**4\/48 + 17*i**3\/3 - 53*i - 1. Factor g(c).\nAnswer: -c*(c - 136)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712277769.\nAnswer: 3, 7, 89, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 6:19 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.8257 - 1.9257. Put -44, -1\/4, 1, k in increasing order.\nAnswer: -44, -1\/4, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786111 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 prob of sequence zpz when three letters picked without replacement from {p: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/488 and ((-20)\/4026)\/(500\/1875)?\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 2*h - 3. Let b be -5 - (-3)\/(1 - -2). What are the prime factors of j(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 6) + -4*2. Let h be ((-8)\/32)\/(c\/4). What is the nearest to 0 in 3\/5, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - -4. Calculate the remainder when (-12)\/(-4) + -2 + 57 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 0 + 2) - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-430)\/550 + (-6)\/(-10)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.8766 (b) 0.4 (c) 3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from vvhvvhvvvhvhhvhhvhh.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, 3\/37, 42, -3, -2\/17, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -90 (b) -31 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(2\/(-447)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -851, -1496, -3247, -6656, -12275, -20656?\n\"Answer: -92*y**3 - y**2 + 2*y - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1330013 - 3?\nAnswer: 1330010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 89. Suppose -2*w - y = j*y - 1105, 2*y = 2*w - 1140. Let l = -86 + w. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 49, 104, 181, 280, 401?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f - 5. Let u be o(-6). Let t = 0.06 - 0.36. Let i = 173 + -173. What is the third biggest value in t, i, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*h + 66, 4*a = -4*h + 136 + 28. Let b be (-1)\/(-4 - (-182)\/a). Solve -4*s + b = 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/3))\/v)**(3\/2)\/(((v*v**(-2\/9)\/v)\/v*v)\/((((v\/(v**(2\/7)*v))\/v)\/v)\/v)) assuming v is positive.\nAnswer: v**(-256\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-396))\/((-2307)\/(-33836))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, -0.2, -0.05, 6\/7, -155?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-252)*21\/9 - (-296)\/(-378)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4.2 (b) 4 (c) 0.03 (d) -0.2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6c - -1?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 7}. What is prob of picking 3 a and 1 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = 0, 5*n - 9 = 3*n - 3*b. Suppose 2*r = -3*u + 1055, n*u - 4*r + 1757 = 5*u. Is u a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 80848451539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)\/sqrt(4) + sqrt(34) + sqrt(34))*1 - sqrt(68)\/sqrt(2)*2)\/((sqrt(72)\/((sqrt(18)\/sqrt(3) - sqrt(6)) + sqrt(6)))\/sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*k**3 - 67*k**3 + 2*k**4 - 2*k**5 - k**5)*(19 + 8 - 2).\nAnswer: -75*k**5 + 50*k**4 - 25*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/11))\/(g**11*g)*g**11\/g*g*g*g**12*g assuming g is positive.\nAnswer: g**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = 8. Suppose 2*c = -2*g, i*c - 4 = -4*g + 2*c. Solve 2*f = 6*f - 2*a + 2, -g*a = -5*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s - 1243. Determine m(-117).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i, 0 = -2*a + a + 4*i - 10. Calculate the lowest common multiple of (-9)\/((-45)\/a) + 14 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/2 + (2 - 2). Let c = 310373.001 - 310373. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (198\/(-165))\/(22\/385)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6 + 5 + t)*(0*t - 2*t + 3*t).\nAnswer: t**2 + 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2474*y + 51 = -2469*y + 3*r, 0 = -5*y + 2*r - 59 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/((-5)\/135). Let l(n) = n**3 + 5*n**2 + 2*n - 2. Let v be l(-4). What is the lowest common multiple of 3 and v\/m - (-92)\/9?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axfa when four letters picked without replacement from {x: 1, f: 2, a: 4, r: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15.688, 0.3, 1\/2, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h - 8*h + 2*h)*(18 + 30 - 164*h - 46).\nAnswer: 2788*h**2 - 34*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ija when three letters picked without replacement from {a: 1, i: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.48982 rounded to the nearest integer?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96.1 + 96.16. Which is the fourth smallest value? (a) -2 (b) w (c) 5 (d) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25694041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6924\/70 - 99 - (-1 + (-12)\/(-10)). Let s = -0.08 - -0.38. What is the fourth smallest value in c, 2\/11, s, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5. Find the first derivative of 2*h**2 - s - 2 + 2 wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 25*r + 2. Let m be j(2). Suppose 2*h = 4*b - 86, 2*b = -h + 5*h + m. What is the highest common factor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2 - 9*u + 9. Let v(t) = 19*t**2 + 17*t - 17. Let p(r) = 7*f(r) + 4*v(r). Let x(z) = -5*z**2 - 4*z + 4. What is 4*p(s) + 5*x(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.6*-20.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*u = -116*u + 238092. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 819 + -818. Suppose 3*p - 18*y = -17*y + 5, y - r = 0. Solve 3 = -p*v - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 25291538 and 25291538 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -5*c = q*h - 339, 2*h - 287 = c + 22. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 + 0.9. Let w = 10 + -10.3. What is the second biggest value in w, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702 is divided by 106?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-1) - (18\/(-11))\/(918\/5049). Let v(w) = 0*w**2 - 2*w**2 + 18 + 11*w + 3*w**2. What is v(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 35*m + 176. Let z be o(-29). Suppose -2\/3*g**z + 0*g**3 + 2\/3*g**4 + 0*g + 0 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a65 (base 12) to base 7\nAnswer: -12314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 6943?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -i - 1621, 3*k - 4871 = 6*k - 5*i. Let a = -143 - k. Is 87 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z. Let l(f) = -282955*f**2. Determine c(l(m)).\nAnswer: -1131820*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 18 = -4*q, 31 = 4*q + 3*k + 10. Let t be 2 + (3 - (q + 2)). Solve -2*z - 3*z - 15 = t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 946 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7617 - -7623. Let i(c) = -24*c**3 - 2*c**2 - 2*c. Let l(r) = 25*r**3 + 3*r**2 + 3*r. What is q*i(h) + 4*l(h)?\nAnswer: -44*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let k be -8 - (0 + 0)*u. Let x(l) = -l**2 - 9*l - 5. Let s be x(k). Solve s*n + v + 11 = 7*n, 7 = 5*n + v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*x**3 - c**2*x**2 - 3*c**2*x + 2*c*x**2 + 965*x**4 wrt x?\nAnswer: 6*c**2 + 23160*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 349, 336, 315, 286, 249, 204?\n\"Answer: -4*r**2 - r + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -5, 2 in decreasing order.\nAnswer: 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -692.4, -2\/9, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3319, -3337, -3355?\n\"Answer: -18*o - 3301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2360503.\nAnswer: 19, 283, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.16 - -0.16. Let f = -7 - k. Let s be 1 - (0 + (-4)\/2). Which is the closest to f? (a) -4\/7 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 8078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68.54 + 68. Let z = k + 0.04. Which is the fourth smallest value? (a) 3 (b) -2\/17 (c) z (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 11*u - 88, -15*v + 20*v - 3*u + 122 = 0. Let h(b) = b**3 - b - 1. Let o(g) = -22*g**3 + 11*g + 11. What is v*h(q) - 2*o(q)?\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8909 - 100795 = 6*z. Let h = z + 219283\/12. What is the common denominator of h and 55\/162?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t - 32. Let m be v(5). Put 8, m, 0 in ascending order.\nAnswer: m, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {p: 1, a: 3, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 63*r**2 + 2\/3*r**3 + 1\/10*r**5 + 7\/24*r**4 + 2*r + 0 + 1\/120*r**6. Suppose -5*p = 16 + 9. Calculate z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - 1. Let q(k) = 4*k - 1. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41139 by -653.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1014015656?\nAnswer: 1014015661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -11*n**3\/3 - 5*n**2\/2 + 2*n - 1. Let t(k) = 7 - 1 - 38*k**2 - 7*k + 22*k**2 - 3. Let v(p) = -7*r(p) + 5*t(p). What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/316956 and 12\/305.\nAnswer: 1584780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -14*b**2 + b + 1. Calculate l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399975747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 28*n + 19*n**2 + 1 + 1 + 51*n - 21*n to o*n**2 + d*n + y and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3 - 45\/(-12))*-2)\/(-6). Factor -d*y**2 + 1\/4 + 0*y.\nAnswer: -(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:25 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t + 7. Let h = -10 + 18. Is q(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 27*o + 17. Let k = -35 + 21. Let w be g(k). Let v be 14\/(-6) - 4\/(-12). Which is bigger: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:24 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 512 + -2045\/4. Sort y, -2\/55, -0.06, -4\/9 in decreasing order.\nAnswer: y, -2\/55, -0.06, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:57 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122 - 4?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 4 + -7 - 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -35, -61, -75, -71, -43, 15, 109, 245?\n\"Answer: c**3 - 33*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 e, and 1 d when three letters picked without replacement from ndendemc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143942, 575767, 1295472, 2303057?\n\"Answer: 143940*t**2 + 5*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1157, 2319, 3481, 4643?\n\"Answer: 1162*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 246061*i - 369087 = 0.\nAnswer: 3\/2, 123029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -24.8. Let i be -3*4\/24*10. Which is the nearest to g? (a) -1\/5 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 plus 13?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.125 - -0.06. Which is the biggest value? (a) n (b) -2 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**4 - 1 + 3*c**2 + 1 + 2*c**3 + (4*c + c - 3*c)*(4*c**3 - 19*c**3 - 4*c**3).\nAnswer: -36*c**4 + 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188 + 385*u**3 + 593*u**3 - 7*u**3 - 186 + 2*u + 2*u**2 + 308*u**3 to a + z*u + x*u**2 + l*u**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 61 = 961994*m - 961999*m, -y + 8 = 4*m for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002831 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/((4\/16)\/(3\/3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4153595939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/99 - 8\/44. What is the second smallest value in l, 0.1, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -752 (b) 1\/5 (c) -0.07789\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100111001110100101 (base 2) to base 9.\nAnswer: 6188473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 14. Find the second derivative of 63*j**3 - 63*j**r - 5*j**5 + 4*j wrt j.\nAnswer: -100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-10))\/(18*2\/(-72)*-9)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 10*x**2 + 0 + 0*x**3 - 5\/12*x**4 - 47*x. Solve w(u) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - (-4 - (7 - 4))) + 8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1217812579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 0*o + 5 - 4*o + 6*o + 3*o**2. Does 32 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**3 + 2*k**3)*(17*k - 16*k + 28*k).\nAnswer: 29*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 115*y - 20359. Determine c(177).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 277411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -362, -544, -726, -908, -1090?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((27\/30)\/(-3))\/(9*-7*(-1145)\/32060).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231643*y + 231707*y + 576 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 6*y = z - 11, -3*y + z = 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1. Let x = 15\/277 - 13461\/3047. What is the common denominator of (-261)\/(-12)*2\/n and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 415665 and 1801215?\nAnswer: 5403645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -565.27 - -2807981\nAnswer: 2807415.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 57. What is the closest to d in -0.4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128072 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -3 + -1 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6659*i**3 + 27*i**2 + 1068355*i.\nAnswer: 39954*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 27039.\nAnswer: 135195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 5)*(2*m**2 + m**4 - 2*m**2) + 2*m**4 + 3*m**4 - 3*m**4 + (-6*m**3 + 4*m**3 + 0*m**3)*(2*m + m - m) + 4*m**4 - 5*m**4 + 2*m**4.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -158*d**4 + 1 - 321*d**4 + 7*d**3 + 9*d - 9*d**3 - 9*d as z*d**3 + o*d + r*d**2 + i + g*d**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11905176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11571503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -31, -96, -219, -418, -711?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3019, 6077, 9177, 12337, 15575?\nAnswer: 18909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f + 77*f - r = 109, 3*f - 68 = -2*r. Let z(u) be the first derivative of -14 - 25\/2*u**2 - f*u. Find the first derivative of z(n) wrt n.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 95 = v, 11086420*v = 11086444*v + 3*j - 120 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k**2. Suppose 0 = -b - 1 + 8. Let w(q) = 2*q**2 - 7 + b. What is w(j(x))?\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-133)\/(-2))*-1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let w(p) = 38 + 228*p - 115*p - 111*p. Determine w(r(s)).\nAnswer: -4*s + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 2 = -7*g. Calculate the remainder when ((-3)\/((-3)\/59))\/g is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*o - 437*o - 136*o.\nAnswer: -481*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166 or 164?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.86 - -134.86. Let p = v - 129.0213. Round p to 3 decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29440 divided by 29440?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1335254, 1335282, 1335310?\n\"Answer: 28*h + 1335226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -150 - 128ab2?\nAnswer: -128c32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*z + z. Let a = 52 + -9. Let g = a + z. Which is bigger: 38 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1022022101002 (base 3) in base 7?\nAnswer: -5623160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - -0.2. Suppose 4*t + y - 8 = 11, 5*y - 5 = -5*t. Suppose o = -2*l + t*l + 6, 5*o - 14 = 4*l. Which is the nearest to -2\/3? (a) 1 (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 + (-5)\/(-7). Suppose 0 = -g - 0*g + n, 65 = 3*q + 2*g. Let u = 36 - q. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -565\/9. What is the fourth biggest value in v, -0.1, 3, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6740966148 to the power of 1\/4, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 1 = -18*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 4, p: 4}. Give prob of picking 1 z and 1 a.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210911 is divided by 530.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/55 - (-212)\/20. What are the prime factors of (-143)\/(-2) - (c + 285\/(-30))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**2 - 2*t - 8. Let j(n) = -6*n**2 + n + 7. Calculate 5*j(q) + 4*u(q).\nAnswer: -2*q**2 - 3*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -2232121112002?\nAnswer: -2232121111332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 - 22 = -78*q. Solve -q*k + 4*a - 2 = 10, 0 = 4*k - 5*a + 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -788\/949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -5*r - 2*a, 6*a - 3*a + 229 = 2*r. Let v = r + -50. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -173 + -1?\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*g - 18, 3*g - 3*k + 4*k = 29. Calculate the remainder when 27 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 15*q**2 + 82*q + 719. Give k(-19).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.021 (b) -13 (c) 3\/4 (d) -0.5 (e) 0 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124745?\nAnswer: 5, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/43168 and 23\/67024.\nAnswer: 2546912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -140*s**2 + 5*s + 3. Calculate q(2).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1018260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 329\/4 - 81. Let p(d) be the first derivative of -i*d**2 - 1\/2*d - 5\/4*d**4 - 5\/3*d**3 - 1\/2*d**5 + 4 - 1\/12*d**6. What is o in p(o) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 4:51 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.8 - 12.23. Let n = 0.5 - 0.83. Let k = n - h. What is the nearest to -1 in -0.4, -2\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -19. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8757.33 millennia to years.\nAnswer: 8757330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcwl. What is prob of picking 1 c and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/50)\/(-4)*5\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -160?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = -0*r + 2*r, -2*r + 10 = 4*f. Let j = 0 - -5. Suppose -4*i + 2*t + 28 = 0, -4*i + j*i = -2*t + 2. Solve -2*g = -r*g + i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 4911240*p\/7 + 3015034792200\/7.\nAnswer: 2*(p + 1227810)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 135270179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) -5 (c) 12 (d) 2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t = 23*t. What are the prime factors of 1\/((-5)\/(-1775)) - t?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {h: 1, p: 4, t: 5}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 100460178 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2394, -5306, -8206, -11100, -13994, -16894, -19806?\nAnswer: -22736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 34\/413, -0.655, -2\/3?\nAnswer: 34\/413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -70*v + 32*v - v**3 + 9 + 8*v**2 + 30*v. Let o be g(7). Factor 2\/3*u**o - 2 + 4\/3*u.\nAnswer: 2*(u - 1)*(u + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011612 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -7. Suppose o*h + 4*h - 172 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43619513.\nAnswer: 7, 107, 58237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 34640 + -3c?\nAnswer: 34602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 609 = -135. What is the remainder when 261 is divided by m?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -665*o - 13588. What is z(-21)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-3)*996\/(-415)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 2. Let c(j) = -1 + j + 0*j + 0*j. Let m be c(8). Let b be r(m). What is the highest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 371\/6? (a) 1 (b) 0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 6 + 1 + -43 + -11 + 20.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 837.4 less than 4?\nAnswer: -833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/36995608 and 16\/355727?\nAnswer: 36995608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7*k + 4. Let q be o(-6). Put q, -5, 2, 6 in increasing order.\nAnswer: -5, q, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -6*s - 2. Let i be a(5). Let u = i - -9. Let o = u + 39. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 3663. Let z(l) be the first derivative of l**3\/3 + 4624. Calculate f(z(h)).\nAnswer: -2*h**2 - 3663","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:25 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 13 - 13)*(5*j**3 - 4*j**3 - 2*j**3) in the form t*j**3 + i*j**2 + k*j + p*j**4 + v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 358 = 334 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-20)\/40*(-12)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/120 - v**5\/20 - v**4\/6 - v**3\/6 - 639*v**2 + 2*v. What is x(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214 + -2399602.287\nAnswer: -2399816.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 1546566*r + 35569431 = 0. What is r?\nAnswer: -515499, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*d**2 - 178*d**2 + 269*d**2 + 269*d**2 + 82*d**2.\nAnswer: 567*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*(1 + sqrt(153) - sqrt(153) - sqrt(153)) - (5*(2*sqrt(153) + sqrt(153)) + 1*sqrt(153)*-4))**2.\nAnswer: -360*sqrt(17) + 34441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 + 103027 - 103027 - 18*u**2.\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99734 and 8366.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*u - 20 = 0, 20823*t - 88 = 20812*t + 3*u - 5*u - 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*z - 11*z, 3*x + 3*z = 2271. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 4*k - 2*q - 14, -2*q + 2 = 0. Let z(x) = x**3 + 4*x**2 + 2*x - 1. Calculate z(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**3 - 2*k + 2*k + (2*k - 2*k - 2*k)*(0*k**2 + k**2 + 0*k**2) + k**2 + 3*k**3 - k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -200*h**2 - 85862*h - 64284.\nAnswer: -2*(4*h + 3)*(25*h + 10714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -1. Let t(y) = -y**2 + 2*y + 34. Calculate the remainder when t(0) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 5*f = -45, -1216*w = -1218*w - 6*f + 68 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110*-4.8.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*w - 9*w = 240. Suppose v - 645 = -4*j, 4*j - w*v + v - 620 = 0. Calculate the least common multiple of j and 2.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 129787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0 - 2\/15*c**5 + 0*c**4 - 1\/10*c**6 + 1\/84*c**8 + 10*c**2 + 0*c**7 + 0*c**3 + 0*c. Factor u(k).\nAnswer: 4*k**2*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 319.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 690 - -161. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from {d: 1, k: 1, c: 2, v: 5, y: 1, b: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2\/6*(-4671)\/(-1730)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(((-64)\/8)\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7*k**2 + 6*k + 4. Let z be h(-6). What are the prime factors of 3 + 56\/(16\/z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068553 rounded to 3 decimal places?\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 6*q**2)*(-3*q + 3*q + 17*q)*(-q**2 + 0*q + 0*q).\nAnswer: -85*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10422 and 252.\nAnswer: 145908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l - 6*l)*(-1348*l**2 - 1575*l**2 - 1028*l**2).\nAnswer: 23706*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120, 201, 268, 315, 336?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -11. Let h = q + -2. Let k(r) = 2*r**2 - r**2 + r**2 + 2*r**h. Let f(y) = y. Give f(k(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/3 + 6. Let c = -5 + 5.2. Put -0.2, c, g in decreasing order.\nAnswer: c, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-16)\/(-800)*(-40)\/(-78)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3546 = 2*p, 34*p = 36*p + u - 3555. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 7619?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 - 106404*a + 6 + 106392*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v. Suppose -3*u + 5*m + 96 = v, m - 96 = -4*u - 3*m. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**8\/112 + f**4\/24 + f**2 - 1. Let z(r) be the second derivative of o(r). What is the second derivative of z(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddduln. Give prob of picking 1 l, 1 k, and 2 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12507043 to the power of 1\/2, to the nearest integer?\nAnswer: 3537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 2, k: 1, y: 1, h: 1, l: 2}. What is prob of picking 1 h, 1 w, 1 l, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17*-3423.38\nAnswer: -58197.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1027 - -3049. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from {w: 8, z: 1, a: 3, n: 6}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1212, 1218, 1224, 1230, 1236?\n\"Answer: 6*b + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3179840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -682\nAnswer: -136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 + (-14)\/(-2). Suppose -i - r*n = 2*i + 3, -2*i + 10 = -2*n. Solve -6*f - 4 = -i*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370110 and 10439.\nAnswer: 4071210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*-57.5.\nAnswer: -1782.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 327287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385070251 divided by -3?\nAnswer: -795023417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34034, -34193, -34352?\nAnswer: -34511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 5*z = -0*z - z + 111, -3*u + 3*z + 1147 = 1174 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -54655 (base 7) to base 5\nAnswer: -414321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.81 + -0.01. Let q = -2.19 + 0.09. Let l = d + q. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(112).\nAnswer: -5 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1 - 14 - 8*r + 8*r**3 - 9*r**3 - 14*r**2 - 7*r. What is the remainder when 21 is divided by n(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(176) - sqrt(176)) + 0 - -1*(sqrt(176)*-4)**2.\nAnswer: 8*sqrt(11) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-336)\/54 - -6 - 14\/18. Let g be -3 - (60\/(-27) + i). Which is the fourth smallest value? (a) 0.2 (b) -2\/7 (c) g (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*1 - 11475\/(-2115). Which is bigger: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -295*w**2 - 10*w + 180. Let b(g) = 87*g**2 + 3*g - 60. Let h(f) = -7*b(f) - 2*l(f). Find the second derivative of h(n) wrt n.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 10*n - 50. Let f = 8 - n. Let x = 3 - f. Solve -x*t - 8 = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*1 - sqrt(8))\/sqrt(4)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/3 - 22*a**4\/3 - 28*a**3\/3 + 328*a**2\/3 + 304*a + 192 = 0 for a.\nAnswer: -6, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 2*j - 1. Let d(x) = x - 4. Let h be d(5). Let b be c(h). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b. Let c be y(4). Let n = 5 + -3. Let t(r) = -r**n - 4*r - 1 + 0 + 2 - 6. Give t(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/15 - 418*z\/15.\nAnswer: -2*z*(z + 209)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1602)\/(2286\/(-13716))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8689.\nAnswer: 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = p + 33, d + 4*p = p + 11. Let m = -6 + d. Suppose -m*t + 435 = -110. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10226 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) 3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1439 * -0.1.\nAnswer: -143.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/s**(1\/10))\/s*s)\/s*s*s*s*s*(((s**(-11)\/s)\/s)\/s)\/s)**11)**(-48) assuming s is positive.\nAnswer: s**(26664\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 d when four letters picked without replacement from dggcgdddggggggggggcc.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 1 - u + 0*u**2 - 1\/3*u**3. Differentiate b(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/3))**(-30\/11)\/((x\/(x**(-2\/9)\/x))\/(x\/(x\/x**(1\/2)*x))))\/((((x**1\/x)\/x)\/x)\/x**(-2))**(-22) assuming x is positive.\nAnswer: x**(-359\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)\/(y\/y**(-6)))**(4\/7)\/(((y*y**(-4\/9))\/y**(-3))\/(y**(-6)*y*y\/(y*y\/y**1))) assuming y is positive.\nAnswer: y**(-863\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175792.\nAnswer: 2, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -5, -2\/7, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4228372813.\nAnswer: 7, 31, 47, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 928.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**3\/t*t)*t*t\/t**(1\/4))\/(t\/(t**(-2)*t))**(-12\/7)*(t**(4\/3)\/t*t**(7\/3))\/(t**(-2\/7))**(-2\/203) assuming t is positive.\nAnswer: t**(99625\/17052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + 2.3. Let h = b + 0.6. Are h and -2\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (455694\/38691)\/(2\/(-9)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/248157 and 54\/13.\nAnswer: 248157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86, -177, -268?\n\"Answer: -91*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2190 + 15333\/7. Let l = -0.34 - 0.06. Which is the fourth smallest value? (a) l (b) 3\/16 (c) h (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3 + 1441086*r**2 - 173059297188*r - 346124358744 = 0. What is r?\nAnswer: -2, 240182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/140 - (721\/(-49) + 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f - 6. Let o be i(9). Suppose 2*t + 2*t = o. Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j**4*x**3 + 17430139*j**4*x + 174*j**2*x**3 + j**2*x**2 - 216237*x**3 wrt j.\nAnswer: -192*j*x**3 + 418323336*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8485*u + 24*u**2 + 4245*u + 4243*u - 188 wrt u?\nAnswer: 48*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 3949, 5925, 7901, 9877, 11853?\nAnswer: 13829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 538, 0, -2, -4, 3\/2, -338 in descending order.\nAnswer: 538, 3\/2, 0, -2, -4, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - 19. Let q be (-10)\/6*(-2)\/((-6)\/p). Let s be 2\/6 + 3 + 35\/21. What is the highest common divisor of s and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -163*x - 17454. Determine v(-107).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/125 in -1.2, 3, 1\/2, 2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 82. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 10*o**2 + 14*o. Suppose -5*d = y + 29, 5*y + 45 = 2*y - d. Let c(j) = -2*j**2 - 3*j. Let t(r) = y*c(r) - 3*w(r). Let b(z) = -9*z. Give b(t(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-5))\/(x**(2\/9)*x) assuming x is positive.\nAnswer: x**(-47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*i = -42*i + 62436. Which is greater: -10405 or i?\nAnswer: -10405","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266 - 266 - 7*r**3 - 5*r**3.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = z, 5*z + 7 = -13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 4*m**2 + 14)*((0 - 4 + 2)*(1 + 1 + 1) + 0 - 5 + 3).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2922 + 15*l**2 + 2922.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5753, -11603, -17453, -23303, -29153?\nAnswer: -35003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -13. Let z = q + -34. Let m = z + 13.11. What is m rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 0*4\/(-12). Let r(j) = -j + 6*j - v*j - 6*j**3. Let y be r(-1). Calculate the greatest common divisor of 24 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.288 * 966.6.\nAnswer: -2211.5808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1032 divide 1390257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -16 - 4. Suppose 2*y + 4*q = 0, 3*y = -4*q + c*q + 7. Suppose -y*k + 45 = k. Solve -1 = 4*b + k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0, 3\/4, 1\/1098, 2\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 2\/9 (c) -43 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(6 - 2 - 2)*(5*g - 2*g - 5*g) - 15408 + 15408 + 339*g.\nAnswer: 327*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from nhhhchchcnrhhhnrrnc?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-296)\/(-518)*(21\/(-6) - 0). Let x(k) = 10*k**2 + 5*k + 2. What is x(m)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 81458700 divided by -6?\nAnswer: -13576450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 136*j**3\/3 - 5724. Let v(p) = 34*p. What is v(q(t))?\nAnswer: 4624*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 116, 179, 246, 317?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 15*q**2 + 3*q + 15*q**2 + (-1 + q**3 + 1)*(-4 + 3 + 3) - 31*q**3 + 22*q**3 + 16*q**3.\nAnswer: 8*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.2. Let c = b + 0.2. Let l = -2.9 + 3. Sort l, -3, c.\nAnswer: -3, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + -10 - -5) - -31?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 10*d + 51 = -z, 3*z = -4*d - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-4)\/10)*(-24)\/690?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19854*l**2 - 6613*l**2 - 6622*l**2 + 456 - 6621*l**2.\nAnswer: -2*l**2 + 456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 159 = 177. Let c be (258\/(-15))\/(-3 + i\/(-15)). Let w = -53 - c. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + 6 - (-1 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 5084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215 = 109*l + 26*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 11}. What is prob of sequence qquq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n - 20. Let v be b(-4). What is the greatest common divisor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*b = 8 + 5, -5*c - 3*b = 0. Suppose -5851 = -3*f + 4*x, -c*f + x + 5850 = -2*x. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9 - 3 = 4*h, -5*h - 13 = -3*q. What is the remainder when 43 is divided by ((-220)\/(-80))\/(h\/(-16))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36871 - -36567.11. Let n = g - -306. Let x = 2.25 + n. Round x to 1 decimal place.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725744.\nAnswer: 2, 7, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1315.9 + 1332.9. What is the nearest to h in 1\/3, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvrvvvv. What is prob of sequence vvv?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 19162 = 4*k, 123*h - 119*h - 38279 = k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 3 + 62)*((-1 - 1 + 4)*(0 + 2*j + 0) - j + 21*j + 8*j) as t*j + b and give t.\nAnswer: 2528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 5*h**2 - 18*h. What are the prime factors of u(7)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2228 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 4*r**2 - 5*r. Let u be q(-4). Suppose -5*a - u + 4 = 0. Find the common denominator of 2\/1 - 108\/a and 17\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(44) - -2*(sqrt(21)\/sqrt(3))**2.\nAnswer: sqrt(7)\/2 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 32*l - 126. Let a be r(6). Solve -6*t + t + a = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629 divided by -3.\nAnswer: -629\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1, 3, -24 in increasing order.\nAnswer: -24, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 92\/161 + 0 + 4392\/(-7588). Sort -5, n, 3 in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*141.3.\nAnswer: -1554.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11713, 23361, 35023, 46705, 58413, 70153, 81931?\n\"Answer: w**3 + w**2 + 11638*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**4 + 2*f**3 - 2*f**3)*(1 + 0 - 2) + (153*f + 30 - 32 - 45*f)*(-f**3 - f**3 + 0*f**3) to the form r*f + c + h*f**4 + m*f**3 + x*f**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89330, -94323, -107882, -134291, -177834, -242795, -333458, -454107?\nAnswer: -609026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3078 + 3082. What is the second biggest value in d, 2\/9, -42.5, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 19403440900.\nAnswer: 19403440899.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t**2 - 4*t. Let i(u) = -7*u**2 + 5*u. Give 3*b(v) + 2*i(v).\nAnswer: 4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -125*v**3 - 12*v**2 + 4*v + 6. Let k(q) = 126*q**3 + 15*q**2 - 5*q - 7. What is 4*k(o) + 5*y(o)?\nAnswer: -121*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*m + 684 + 142 = 0, 3*m = 4*q - 1685. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -740814968*f*s - 12667093*f - 39 wrt s.\nAnswer: -740814968*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + (-4 - (99 - -15))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4552*x. Let c(i) = -3*i - 79. Calculate c(y(b)).\nAnswer: 13656*b - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11106, 22210, 33314, 44418, 55522, 66626?\nAnswer: 77730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, 4\/11, -2.4 in ascending order.\nAnswer: -2.4, 2\/15, 4\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4, 150.1, -0.024, 4\/7?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.18 - -0.02. Let x = 13 - 10.9. Let c = x - u. What is the second smallest value in c, 13, -4\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5193 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + 11. Let u(o) = 2*o - 2. Let n be u(3). What is the second derivative of 10*s + x*s**4 - 11*s - n*s**4 wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 16*y + 2. Let k be n(1). Let c(d) = 17*d - 90. Let s(o) = 4*o - 22. Let u(i) = -6*c(i) + 26*s(i). Let m be u(k). Solve 3*f + 8 + m = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, e: 1, r: 6, i: 4}. What is prob of picking 1 q and 1 i?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 860a0 (base 11) in base 3?\nAnswer: 20100202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11766167827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**6\/720 - v**5\/90 - v**4\/36 + 4*v**3\/9 + 104*v**2. Factor m(d).\nAnswer: (d - 4)*(d - 2)*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 0 - 1 - (42 - (-999)\/(-27)). Suppose -f = -4 - 0. Solve 5*h - h - 32 = f*o, -4*o - 3*h = -b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192920172 to the power of 1\/3, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117*i - 1070*i = 31490. What is the remainder when i is divided by 85?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**2*o + n**2 + 117005*n*o + 2*n + 666732*o wrt n?\nAnswer: -2*n*o + 2*n + 117005*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113553 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13974444, -13974439, -13974432, -13974423, -13974412, -13974399?\nAnswer: -13974384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 166076209237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/25, 21, 0.06479?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*z**3 - 421*z**3 + 690*z**3.\nAnswer: -63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(66*98\/(-28567))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1239 and 3009?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440829156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uml when three letters picked without replacement from {l: 1, g: 2, u: 3, m: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 11234424?\nAnswer: -11234414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g - 9*g**2 + 3*g - 11*g. Let j(m) = 14*m**2. Suppose y = 3*y - 14. Let h(w) = y*b(w) + 5*j(w). Let z(o) = -o**2. Determine z(h(l)).\nAnswer: -49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234927 - -401018. What is a rounded to the nearest ten thousand?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8\/7 and -5\/12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 24 = -4*u, 6*m - 2*m = -u + 18. Suppose 0 = t, 20 = 4*f - u*t - 0*t. Suppose -2*z + f*z + 2*k = -116, 48 = -z - 3*k. Round z to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-2)\/3 + -4. Let v(x) = x**3 + 6*x**2 + 8. Let i(k) = 3*k**3 + 17*k**2 + 23. Give t*i(j) + 17*v(j).\nAnswer: -j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:59 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1591 - 16?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10121102 (base 3) to base 15\nAnswer: ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2547 by -96.\nAnswer: 849\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 133 + -78. Does 55 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(9\/2)*r*r*r**(-9)*r)\/(r**(-12)*r*r\/(r*r*r\/r**(-2\/35)*r*r)) assuming r is positive.\nAnswer: r**(949\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(6\/5 + -1). Suppose 15*i = 14*i + 6. Let q be (-1)\/4 + i\/(-24). What is the closest to q in k, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58877 (base 13) in base 14?\nAnswer: 42d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -313 in 0.4, -5, 2\/43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 <= 611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1163, -4, 3137, 9250, 19325, 34352?\nAnswer: 55321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -65?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(13) + -5 + 3 + sqrt(13) - (sqrt(156)\/(sqrt(60)\/sqrt(5)) + sqrt(13))))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Suppose 0*j = -5*m + 2*j + o, -m = j - 1. Differentiate -m - 2*f**4 + 2 - 2*f + 2*f with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 11352*x**2.\nAnswer: -4*x**2*(x - 2838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -29, -22, -11, 4, 23, 46?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i + 39*i + 28 = -228 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 765 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7088.593 times 0.5\nAnswer: 3544.2965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -104 (b) 421 (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168865, 168957, 169113, 169339, 169641, 170025, 170497, 171063?\nAnswer: 171729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 42. Let p be (a\/6)\/((-4)\/(-18)). What is the units digit of 219\/9*(-3 - p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 301*p - 962*p + 4)*(3*p - p + 0*p) as b*p + v + c*p**2 and give c.\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16955 + -473.\nAnswer: -473.16955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -1)*24\/72. Solve f = 5*x + 10, t = f + 4*f + 3*x + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-42)*(-6)\/24*-12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -38. Let w = a + -17. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31210021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -22, -37, -56?\n\"Answer: -2*j**2 - 5*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 4 + 82 + -86?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - -3. Suppose -7*o = u - 104. Solve 35 = 5*r + o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrqrrxqqrqqrrrjqfrrr. Give prob of picking 1 q and 3 r.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15455 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 18, 0.03?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 13 = g, -4*g = -b + 4*b + 7. Let i = b - 7. Let d = i + 6. Solve -d*a = -3*u - 16, u + 2*u = -3*a - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g - 0. Let j = 32 - 28. Suppose -2*i - 14 = -18. Solve -x - 2*o = -1, -j*x = -i*x + g*o - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3291998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let c(m) = 6*m - 159. Give c(k(o)).\nAnswer: -6*o - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.9552mg in micrograms?\nAnswer: 92955.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 26*n**2 - 4*n - 40. Let x be k(-4). Let p be ((-1 + -2)\/3)\/(8\/x). Round p to zero decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 1103, 1380, 1709, 2066, 2427?\nAnswer: 2768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39339 or -39423?\nAnswer: -39423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(9\/8))**(4\/13) assuming g is positive.\nAnswer: g**(9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517222672 a multiple of 676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.08. Let z be (-3)\/(-5) - 33\/5. Let v be (-10)\/(-12) + 3\/z. Which is the closest to -2\/3? (a) v (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - i = -5, 0 = -2*c + 5*i - 9. Let y = -15 + c. Let o = 29 + y. 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: Does 197 divide 2929799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/12 + 32\/6. Let w be (r\/2)\/3 + -6. Suppose -2107*t + 268 = -2174*t. Sort t, w, -27 in decreasing order.\nAnswer: t, w, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**4\/6 - 474*n**2. Let p(b) = -13*b + 4. Let u(k) = 14*k - 3. Let m(g) = -3*p(g) - 4*u(g). What is m(y(v))?\nAnswer: 68*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 52*t**2 - 347*t + 90. What is u(13)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 106f4e?\nAnswer: 106f52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30967 = -314*f + 358*f - 949*f - 3817 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a kilogram in grams?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-19 - 16) + 19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 3*h + 5*h)*(-3 + 3 + 1)*(0 - 1 - 2) as d*h + j and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**3\/3 - n**2 + n - 73. Give g(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5*i + 4*i + 1)*(-i + 4*i + i) + i**2 - 5*i**2 + 12*i**2.\nAnswer: 4*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**3 + 2*q**2 + 2*q + 1. Let z be h(-1). Suppose p - z*p = 45. What is the smallest common multiple of (3\/p)\/((-2)\/12) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-two fifths of a day?\nAnswer: 9216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 18*w**2 + 2*w - 21. What is z(18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 2*d**2 - 4*d**2. Let k(a) = -6*a + 7*a - 2*a. Give k(q(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v + 5\/4*v**4 - 5*v**3 + 47 + 5*v**2. Factor a(c).\nAnswer: 5*c*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5 - 8 - 3*i + i**2 + 3*i - 2*i. Let x be p(-12). What is the highest common divisor of x and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - 0.2. Let a = -4 - -6. Sort a, z, -3\/5 in decreasing order.\nAnswer: a, -3\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*l - 2*l**2 - 456*l + 1 - 1.\nAnswer: -2*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-720))\/(544\/(-768))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a - 4*c, -4*a + 4*c + 1 = 9. What is the smallest common multiple of (-9)\/(1*(-2 - -1)) and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 22. Let x = -2 - -3. Let u = -4316 + 4316.6. Which is the second biggest value? (a) u (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -467 - -471. Solve -2*h + g = s - 2, -5*s + h = -19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**5 + 229*p**4 + 2639*p**3 - 407757*p**2 + 2350962*p - 3472632 = 0. What is p?\nAnswer: -46, 3, 36, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-310 - 0)*(21 + -13021). What is b rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-44)*(3*(-6)\/90)\/((-10)\/(-16))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -77*z**2 + 0 + 0 + 187*z**2 - 111*z**2. Let s(u) be the first derivative of 371*u**3\/3 + 19. Determine s(n(o)).\nAnswer: 371*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d553 (base 14) to base 12.\nAnswer: -19305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 132 = 3*f, 7*f + 3*l - 98 = 3*f + 56 + 1 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18460342 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 35. Calculate the remainder when q(12) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 17906 = -5*p + 17931, 3*p + 6*h + 33 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-51816)\/(-48) + 23)*176\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479, -1044, -1609, -2174?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + q + 855 - 104 = 0, 4*q + 1885 = 5*a. Let d = -370 + a. Solve -d*g + 4*g = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 - -10.9. Let l = 10 - p. Let o = -4.5862 - l. What is o rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 16a?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) - sqrt(121)*3*-1) + 1*(-1*sqrt(121) + sqrt(121) + sqrt(121)))\/(-1*sqrt(2816) + sqrt(44) - sqrt(352)\/sqrt(32)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306442401 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 17*o - 72. Let a be h(4). Let w(x) = 21 - 14 + x**2 + 22 - 14*x. Is 3 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 183784067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-15))\/(-1) + 12402\/(-130). Round b to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 26\/6 + (-46)\/(-69)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = k - 86, 3*k = -3*j + 276. Let w = 105 - 102. Suppose w*b + 2*b = 5*m - 130, -54 = -3*m - 5*b. Calculate the remainder when k is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(6\/28))\/1. Let g be (-108)\/(-63) + (-4)\/i. Suppose 0 = -4*b, g*n - 3*b = -0*b + 38. What is the greatest common factor of 57 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0.51937\nAnswer: 7.51937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*j + 2 + 140*j**5 - 116*j**5 - 2 wrt j?\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99338.\nAnswer: 2, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16543 divided by 1?\nAnswer: 16543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t + 102 = 0. What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 5 + q + 2*q + (-3*q + 2*q + 3*q)*(3 - 2 + 1) - q - 2*q + q + q + 4*q + 2*q.\nAnswer: 8*q + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6*7\/196*(-4)\/3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 + 893 = 114*o - 633 + 140 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 21*o + 62. Calculate i(-11).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*(sqrt(209) + (sqrt(209) - -2*sqrt(209)))*-4)\/((sqrt(165)\/sqrt(5))\/sqrt(3) + (sqrt(99)*3)\/sqrt(9)))**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -170 - -171. Let o be -4*n\/(-1) + 2142\/(-663). Let v be ((-2)\/2)\/(0 - 1). Is o at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/54 and -73\/3031578?\nAnswer: 9094734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 8:37 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 192 - 189. Let q = -193 + 577\/3. Put q, h, 0.3 in ascending order.\nAnswer: q, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 6 - -18 - (-13 - -6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -21, -5, 1207, 3, 0.\nAnswer: -21, -5, 0, 1, 3, 1207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 5 + 13. Let k be -55*(3 - v)*-1. Suppose 39 = 2*f - k. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjlvjxbvvbjljrbrjv. Give prob of sequence vvr.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - z**3 + 5*z**3 + 53 + 50 - 100 - 2*z to f*z**3 + y + w*z**4 + l*z + u*z**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 4*l + 6. Let r be j(6). Let q(k) = k + 11. Let s be q(r). Solve s*t - 23 = 4*b, -5*b + 5*t - 3*t = 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/(-14) + 2 - (-35 + 57 + -17). Let 0*b**2 + 2\/7*b**4 + q*b**3 + 0*b - 1\/7*b**5 + 0 = 0. Calculate b.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2. Let z(i) = -405*i. Let v(l) = 45*l. Let o(x) = 35*v(x) + 4*z(x). Determine a(o(t)).\nAnswer: -2025*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let c be i + (2\/(-2))\/1. Which is greater: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61361538 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 - 11*u**2 + 46*u + 192. Let n be w(20). Solve 9 + 15 = n*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**2 - 230024*u + 51116.\nAnswer: (u - 25558)*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -11 - 20*t + 31*t - 9*t. Suppose 2*i + 16 = 4*i. Suppose -i = -h - 0*h. Calculate z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42163631, 42163641, 42163665, 42163709, 42163779, 42163881, 42164021?\nAnswer: 42164205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7927\/14 + 566. Are -1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.14826cm in millimeters?\nAnswer: 601.4826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*u**5 + 7*u**4 + 3*u**2 - 12*u wrt u?\nAnswer: 600*u**2 + 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.5 + -11.5026. Let g = 4.6226 + c. What is g rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = -0*i - 3*t + 36, 5*t + 60 = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6436 + -6439. Which is the biggest value? (a) m (b) -4.074 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, -3, -1372958, 4, -5, 0, -1?\nAnswer: -1372958","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*y + 74 = -0*t, -5*y = -t + 42. Suppose b - 4*b - 29 = -4*n, 2*n - b - 13 = 0. Suppose -n*m + t = -m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/25)\/4)\/((-81)\/(14175\/6020)).\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20434*d**3 + 18174*d**3 - 5337*d**3.\nAnswer: 33271*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6634, -6627, -6620?\nAnswer: -6613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-40))\/1*2\/3*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8941, -8836, -8633, -8314, -7861, -7256?\nAnswer: -6481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/11)*z)\/(z\/(z*z**(-15)))*(z**4)**(-18) assuming z is positive.\nAnswer: z**(-949\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2549 is divided by 226?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -1\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1242414400 + 111?\nAnswer: 1242420011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*g**2 - g**2 + 2)*(g + 2*g + 3*g) - 131*g + 35 - 2*g**3 + 131*g to the form l + a*g**3 + w*g + y*g**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h**4 + 89*h**3 - 99*h**2 + 43*h - 5 = 0. Calculate h.\nAnswer: 5\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 - 1.85. Let n = 1.05 - l. What is the second smallest value in n, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2433 + 1053 = 0. Is 9 a factor of 1 - (-5)\/(-7) - v\/(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 24 = -19*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16948870 is divided by 193?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*a + 4. Let z(w) be the second derivative of 1\/6*w**3 + 0 + 0*w**2 + 0*w**4 + 2*w - 3\/10*w**5. What is z(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(156)\/(sqrt(363)*-3)*5)**2.\nAnswer: 5200\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/9? (a) -0.5 (b) -6 (c) -3 (d) -2 (e) -64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*k - 17, 28358*k - 28370*k - 217 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 635\/1469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 19949?\nAnswer: -1994b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2\/5*m**5 + 0*m**4 + 0*m + 2\/3*m**3 + 0*m**2 - 2. What is the third derivative of j(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/2 + 37\/37. Put -7, w, -2 in ascending order.\nAnswer: -7, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 202 = -0*y + 5*l, 0 = -4*y - l + 254. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.6439 and -19.9?\nAnswer: -112.31361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -30. Let k(h) be the third derivative of -1\/180*h**5 + s*h - 2*h**2 + 0*h**3 + 1\/72*h**4 + 0. Factor k(n).\nAnswer: -n*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1293075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 + 120. Let w = 179 + -89. Let l = w - 87. What is the remainder when i is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 6.03. Let m = 0.0299953 - u. What is m rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 16\/(-5) + (-6 - 32\/40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -3\/10, 1\/3, -2\/9?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 7. Let l = 127 + -265. Does 23 divide (l\/6)\/(c + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (0 - 1\/1). Suppose 0 = 4*j - 2*r + 8, 0*j + 2*r = 2*j + 8. List the prime factors of (1 + j + 0)*84\/f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15461319*u**3 - u**2 - 15574941*u?\nAnswer: -92767914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5094 - 5090. Put 15, 1, v, -6 in ascending order.\nAnswer: -6, 1, v, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -654, -1307, -1960, -2613?\n\"Answer: -653*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 370406410 and 218876515.\nAnswer: 4815283330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1751\/2678 + 2 + 10\/(-4). Let j = 45 - 136\/3. Sort -2\/3, b, j in decreasing order.\nAnswer: b, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-550)\/88 - 3\/(-4) and (-1)\/4 - 956\/(-624)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/11 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28547?\nAnswer: 28547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*p + 13, 0 = 2*m - 4*p - 4. Suppose -4*o + x + 4*x = -195, -4*o + m*x + 192 = 0. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -163, -132, -77, 8?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2538 - 2541. What is the third biggest value in 5, l, -5, 14\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2014\/3 - 666. Find x, given that -t - 4\/3*x**2 + 16\/3*x = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9440000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(56)\/(6*sqrt(8))) + -1)*-6.\nAnswer: -5*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10121 - -11?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*g**2 + 13*g + 126*g**2 + 15*g + 107*g - 23*g wrt g?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 73\/53511 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -18*(-10)\/150*(-50)\/(-4). Suppose l*d + 19 = 79. Solve 0 = 2*q - d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4 - 6*o**3 - o - 2*o**3 + 6*o + 14*o**3. Let c(a) = 7*a**3 + 6*a - 5. Determine 3*c(m) - 4*f(m).\nAnswer: -3*m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20865934 rounded to three decimal places?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -12 - 3) + -5 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 4*k**2 + 2*k - 3. Let l be a(4). Find the third derivative of x**5 - 5*x**2 + 2*x**2 - 4*x**l + 0*x**5 wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927 times 1.5361?\nAnswer: 2960.0647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -13140*t**2 - 4126 + 34796*t**2 + 8239 - 4113 in the form v*t**2 + s + l*t and give v.\nAnswer: 21656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1626.\nAnswer: -6504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -8*x + 72, x - 2*y + 5580229 = 5580260 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001534 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 69346, 2?\nAnswer: 69346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -901 + 898. Which is the closest to k? (a) 0.1 (b) 1\/5 (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 14*b**2 + 15*b + 9. Suppose -x + 7 = 4*f, 15 = 2*x - 5*f - 25. Calculate the remainder when 24 is divided by w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 - 4.83. Let z = 7 + g. What is the nearest to 1 in z, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 + 50 = 0. Let j = r - 36. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/160 and 4\/512*18 + (-51)\/34.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 112*f + 2155. What is the remainder when v(-64) is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/308)\/((-9)\/21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, 1 n, and 1 z when four letters picked without replacement from {r: 3, n: 1, f: 1, e: 8, c: 5, z: 2}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 6 = -6*z. Suppose b = s + 4, -z*b = s - 5*s - 6. Suppose -b*f + 42 = -38. Solve h - 8 = 4*t + 15, 2*h - 2*t - f = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -20*b - 372. Let z(s) = -4*s - 73. Let t(c) = -2*m(c) + 11*z(c). Let q(a) = -a. Calculate t(q(j)).\nAnswer: 4*j - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -218, -180, -126, -50, 54, 192?\n\"Answer: b**3 + 2*b**2 + 25*b - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 5 + 6 - 11*o**2 - 2*o in the form n*o**2 + m + p*o and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08417770343 and 2.418?\nAnswer: 2.33382229657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -0.7 (c) 6332 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.42727 centuries to millennia.\nAnswer: 4.242727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -2412 and -36092648.\nAnswer: -36095060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 80*a**3 + 2. Let j(p) = p**3 + p**2 - p + 1. Let q(w) = j(w) - m(w). Let h be q(-1). What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 5:30 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = 11*a - 232. Which is smaller: a or -0.063?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -100, -288, -608, -1090, -1764, -2660, -3808?\n\"Answer: -5*p**3 - 36*p**2 - 45*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -19*t**3 - 279*t**2 - 188*t - 79. Give k(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -17 + ((-6)\/5)\/(2\/(-5)). Let n = -11 - i. Determine r so that -3\/4*r**2 + 3\/4*r**n + 3\/4*r**4 + 0 - 3\/4*r = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.19, -4\/3, -26?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19809 is divided by 106.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*r**3\/7 + 124*r**2\/7 - 316*r\/7 + 64\/7.\nAnswer: (r - 2)*(r + 16)*(9*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 4. Let c(p) = -1. Let h(z) = 4*c(z) - t(z). Let f(u) be the first derivative of -u**3 + 541. Give h(f(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1527 - -1531. Solve -32 = -5*z - 3*f, 3*z = -z - q*f + 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64923 divided by 7?\nAnswer: -64923\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 277*s**3 - 5*s**2 - 16*s + 51. Is j(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f + 1166. Determine y(86).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-8)\/f*f)\/f)**(-43)*f**(-1\/11)*f*((f\/(f*f**(-3)))\/f)\/f assuming f is positive.\nAnswer: f**(3805\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/22704 and -11\/2734?\nAnswer: 31036368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/12 - 12\/16. Suppose 2*l - 6 = c, 5*u + 4*l = 8 + 29. Suppose o - 79 = -u*b, -b - b = o - 31. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1026 - -1658. Suppose -4*h - 20 = 0, l - 207 = 4*p - 5*h. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -415 - -594. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3778.\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*v + 6*n - 11, -3*v = 5*n - 21. Suppose -k - 26 = -3*i + 41, 23 = v*i - 5*k. What is the remainder when i is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.34 and -0.1.\nAnswer: 0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 7)*(-t + 0*t + 0*t) - 3*t - t + 5*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = -5. Let k be (2 - -3)*4\/5. Find the first derivative of k*l - i*l + 3 - 3*l wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -528, -1194, -2126, -3324?\nAnswer: -4788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 13*n - 71. What is the remainder when w(7) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 6, 1\/3, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1900) + sqrt(1900) + -1 - sqrt(1900)))**2*2 - ((sqrt(304) - (sqrt(304) + 2)) + sqrt(304) - (sqrt(2736) + -3))**2.\nAnswer: -344*sqrt(19) + 33001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 6. Suppose -4*w = -5*l + 8*l - 34, 0 = 4*w - 28. Which is the closest to m? (a) l (b) -2\/13 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -3)*50\/15. Let s = 48 - 37. Suppose -5*b = s - 61. Calculate the greatest common factor of b and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 54421890?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by ((-98)\/21)\/((-6)\/45).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/51 - -10\/51. Which is the third biggest value? (a) 2 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {j: 3, h: 1, r: 2, z: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 15 + (-39 - -36) + -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003442517057 to seven dps.\nAnswer: 0.0034425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.69 + -547308514\nAnswer: -547308513.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*l**3*s**2 - 5*l**3 + 96*l**2 + 4*l - 323*s**3 - 6 wrt s?\nAnswer: -130*l**3*s - 969*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = -4*r + 65. Let c = r - -35. Suppose c*p - 5*a - 2 - 7 = 0, p - a = 3. What is the remainder when 23 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/165)\/(13\/(-130))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 14. Give k(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 3*p - 6. Let d be g(-5). Let b be (-5)\/d*(-1 + -11). Let x = b - 8. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 6*f**2 + 2*f - 4. Let o be v(6). Let g be (-13 - -39)\/(0 + -3). Let t = g + o. Which is the biggest value? (a) 0 (b) -2\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -17, -37, -75, -137, -229, -357?\n\"Answer: -v**3 - v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1399, 1, 0.66, 8\/29, 0 in descending order.\nAnswer: 1, 0.66, 8\/29, 2\/1399, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -46443788\/3 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1191, -7, -5, 2, 4 in ascending order.\nAnswer: -1191, -16, -7, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/20*20\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1191*m + 136140. Give t(114).\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 4 = 2*j, 5*j + 2*o - 28 = 4*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 10 = 6*p + 5*h, 2*h + 4 = -3*p. Suppose 20 = -p*l - 5*l. Let k(z) = 5*z**2 - 1. Let m be k(1). What is the second biggest value in m, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 128362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 14*w - 39. Let b be z(9). What is the highest common divisor of 29 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/653, 0.4, 0.3, -3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-1))\/(-1 + 0). Let r = 150339\/5 + -29945. Let l = -122 + r. Which is the second biggest value? (a) p (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -22*u**2 - 6*u + 7. Let s(k) = -7*k**2 - 2*k + 2. Let p(q) = -2*d(q) + 7*s(q). Find the second derivative of p(c) wrt c.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1027, 2054, 3081, 4108, 5135, 6162?\n\"Answer: 1027*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/24*72\/(-9). Let i(z) be the third derivative of 4*z**2 - 1\/12*z**o - 1\/120*z**6 + 0*z - 5\/6*z**3 + 0 - 5\/24*z**4. Determine i(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141677 - 6530.\nAnswer: -148207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w + 168*w - 1482 = -119*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*i + 2 - 9*i + 3*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z - 8*z + 4189102*z**3 - 4*z + 17*z - 4188934*z**3.\nAnswer: 168*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 + 2772*r**2*u**2 + 433*u**2 - 3*u - 10 wrt r?\nAnswer: 8*r**3 + 5544*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let h = -398 - -580. Let a(k) = h*k - 89*k - 96*k. Let s(c) = c**2 - 5*c. Let o(l) = 5*a(l) - 3*s(l). Determine m(o(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2247316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000165373 to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -95839, -95834, -95825, -95806, -95771, -95714, -95629, -95510?\n\"Answer: q**3 - 4*q**2 + 10*q - 95846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:22 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -35. Let s(x) = -x - 1. Let w(m) be the third derivative of m**4\/8 - m**3\/3 - m**2. Let d(l) = g*s(l) - w(l). Give d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-21 + 19 + -1 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 226303499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, m: 1, g: 3, l: 9}. What is prob of sequence llbl?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.0285\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7891929 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*w - 11, -w + 6 = -5*z - 7. Let o = 5 + z. Suppose o*n = 7*n + 750000. What is n rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 + 153*q + 973. Give a(44).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*((o + 2*o - 2*o + (-2*o + 0*o + 0*o)*(0 + 2 - 4) + 9*o + 13 - 13)*(-2*o**2 - 1172*o**4 - o**2 + 1151*o**4) + 5*o**2 + 4*o**5 - 5*o**2).\nAnswer: -870*o**5 - 126*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2923, 5834, 8747, 11662?\nAnswer: 14579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2640214 is divided by 406.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 58563 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**4 - 203*t**3 - 725*t.\nAnswer: -60*t**2 - 1218*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(sqrt(6)\/sqrt(3) + 4).\nAnswer: 4*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.2, 2.6, -4, -5.\nAnswer: -9.2, -5, -4, 2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkhksqqhqhkh. What is prob of sequence hshh?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18036355269510625*v**4 + 18044117141174875*v**3 + 7762985094150*v**2 + 1113483140*v + 53240 = 0. Calculate v.\nAnswer: -1, -22\/153365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/(p*p**(-1\/4)*p))\/p)))**(-2\/7)\/((p\/(p\/(p*p**13*p)))\/(p*p**(-24)*p)) assuming p is positive.\nAnswer: p**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11151537 to the nearest integer?\nAnswer: 3339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7090598, 14181191, 21271782, 28362371?\nAnswer: 35452958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*5*((5 + (1 + sqrt(500))*-1)*-2)**2*3.\nAnswer: -14400*sqrt(5) + 92880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 + -107.2. Let r = h - 10. What is the closest to 0.1 in 0, r, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1204514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-190)\/(-30))\/((-2)\/24). Let w be 16\/4 + 302\/k. Is w equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 47*s - 187. Let n be u(5). Solve n = 5*l - 29*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3544 and 26.\nAnswer: 46072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1 - 1) + (-63 - -66)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5465*q**2\/2 + 1716*q - 3375. Differentiate h(g) with respect to g.\nAnswer: -5465","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:43 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/7*(-5)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1633*f**3*j**4 - 65402*f**3*j**2 - 15858*f**3*j + 15*f**3 + 55*f**2 + 2*f*j - 2*j wrt j?\nAnswer: -19596*f**3*j**2 - 130804*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b - 14866 - 42878. Let u = -5427 - b. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*j + 858*j = -2*p + 30, 5*j - 50 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -i + 687. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + 4.71. Let z = w + -5. Let n be (0 - 4\/(-40))*2. Which is the nearest to -0.2? (a) 1 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1754, 2160, 3162, 5024, 8010?\nAnswer: 12384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10353 - 10353.000026821. What is l rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 118*i**2 - 23*i**2 + 31*i**2 to m*i**2 + s + c*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 465, -1, -5, 0, 2\/3, 0.1 in descending order.\nAnswer: 465, 2\/3, 0.1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) - 2*(sqrt(3) + -2)**2) - (sqrt(12) + 1)**2*1.\nAnswer: -32 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 + 2 = 0, 5*g = 4*n - 51. Suppose -2*b = 2*l - 14, -l - 1 = l - 3*b. Let s be l\/n - 9\/7. Which is greater: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 359 + -359. Let d be (q*8\/(-56))\/(1 - -1). Factor 1\/3*y**2 + 0 + d*y.\nAnswer: y**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 17*i = -15*i + 16, -5*i - 4 - 8 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(9\/2)\/i*i*i\/(i\/(i*i*i*i**(-1\/5)*i*i))*i**(-16)\/i*((i\/i**(-1\/9)*i)\/i)\/i*i)**(17\/4) assuming i is positive.\nAnswer: i**(-7021\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*r**2*s**2 + 6*h*r**2 - 2*h*r*s**2 + 9*h*s + r**2*s - 14*s**2 wrt s?\nAnswer: 2*h*r**2 - 4*h*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - 0.05. Let i = -3 + 6. Let d = -1.1 + 0.1. Which is the nearest to d? (a) l (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, i: 2, s: 7, x: 5}. Give prob of picking 1 s and 1 r.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwywuwuuwwuwwuw. What is prob of picking 1 y and 3 u?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z = 2*k - 11*z - 2, -5*k + z = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (127998\/91)\/(57\/1330).\nAnswer: 2, 3, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 54*r**2 - 63*r**2 - 15*r.\nAnswer: -117*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418997481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*h + 0*h = 0. Suppose h = -v - 5*j - 6, -2*v - 2*v - 41 = 3*j. Let y = v + 16. Solve -10 = -5*p + y*m, 0 = 3*p - 4*m - 3 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, w: 2}. Give prob of picking 4 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563446054 minus -17.5?\nAnswer: -2563446036.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*n + 3)*(-4 + 2 + 1) + (-40 - 16 + 16)*(-18*n + 24*n + 18*n).\nAnswer: -958*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 5*s + 20. Let v(x) be the first derivative of 0*x**2 + 1\/4*x**s - 2 - 1\/5*x**5 + 0*x + 0*x**3. Solve v(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9e414 (base 15) to base 12\nAnswer: -20366a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + x - 24, 0*u - 3*x + 37 = 4*u. Suppose -n = 4, -2*n - 17 = -4*i + 35. Calculate the remainder when i is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 15*o**2 - 33*o - 5. Let g be m(3). Solve g*p + z + 19 = 0, -28 = 7*p - 2*p - 3*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237697747597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297801295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130275712 by -65137856.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 22 = -l - 23, 2*l = -3*d - 68. Let u = d - -25. Solve 2*c = u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - z = -7, -8*b + 3*b - 5*z + 20 = 0. Factor 3*d**b + d + d**3 + 3*d**2 - 2*d**3.\nAnswer: d*(d + 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/40)\/(2\/90)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 9*b + 1458 = 0. Suppose 20*m - b = 14*m. Suppose 2*r - m = -3*c, -c + 4*c + r = 27. Sort -0.2, 2\/9, -1\/2, c in increasing order.\nAnswer: -1\/2, -0.2, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8211\/28 + 297\/108. Solve -7*r - g = -303 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -18*q - 115*q - 2 + 110*q. Determine y(3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 12:27 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132475.5l in millilitres?\nAnswer: 132475500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) -2 (c) 6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k**3 + 44*k**2 - 25*k - 174. What are the prime factors of q(-15)?\nAnswer: 3, 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/240 + 107*d**4\/96 + 485*d**3\/12 + 5240*d**2. Factor q(f).\nAnswer: (f + 10)*(f + 97)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g**2 + 911*g + 94801. Calculate d(-62).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/18 (b) 1\/8 (c) 111 (d) 3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7786, 32019, 72410, 128959, 201666, 290531, 395554?\nAnswer: 516735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*f = -257, 16*f - 12*f = -n + 133. What is the remainder when 791 is divided by n?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/1620 - 19*f**5\/540 + f**4\/6 - 199*f**3\/6 + 103*f**2. Let s(z) be the first derivative of y(z). Let s(t) = 0. What is t?\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -204.4 and 37.23263.\nAnswer: -167.16737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4063444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388092 or -388091?\nAnswer: -388091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450160814.\nAnswer: 2, 3607, 62401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(4536))\/((1*sqrt(44))\/sqrt(11)))\/((-3*sqrt(56)*-2)\/(sqrt(648)*-2)).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**3\/6 + 186*v. Let h(o) = 251*o**2. Determine h(a(d)).\nAnswer: 251*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5200 times -3?\nAnswer: -15600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f + 3*o + 5, 0 = 5*f - 2*o - 8. Let v be 7*1 + -3 + 3. Let w = v - f. Solve -2*l + w = z, 0*z - 5 = -l - z for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29385 + 29388. Let w(t) = 4*t - 63. Let z(x) = 5*x - 63. Determine h*z(y) - 4*w(y).\nAnswer: -y + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:18 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0732638 microseconds in seconds?\nAnswer: 0.0000000732638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/360 + 67*s**4\/36 - 89*s**3\/12 + 2364*s**2. Factor a(b).\nAnswer: -(b - 267)*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2. Let s(q) = q**3 - 9*q**2 - 9*q - 8. Let m be s(10). Suppose 3*j + 11 = -5*l, x = m*l + 7 + 1. Solve o + 0*r - 9 = -j*r, -r + 7 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.6357 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x + 21. Let h = -4148 - -4159. Calculate n(h).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86 + 83. Let k(z) = -z**2 - z + 2. Let s(j) = 3*j - 6 - 3*j**2 + 5*j**2 + 0*j**2. Calculate q*s(b) - 8*k(b).\nAnswer: 2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -401 in increasing order.\nAnswer: -401, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/7))**37*(m**(16\/9)*m)\/((m*m*m\/(((m*m*(m\/(m*((m\/(m*(m\/(((m**(1\/21)\/m)\/m)\/m))\/m))\/m)\/m)*m*m*m)\/m)\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(355\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 50 = -f, 3542*c - 25 = 3560*c + f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.55 - 8. Let s = h + -0.05. Let r = s + 2. What is the second smallest value in 1\/4, r, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/3 - 6) + 0\/2. Let g(z) be the first derivative of 2\/33*z**3 + 1\/11*z**4 + 4 + 0*z + 0*z**h + 2\/55*z**5. Factor g(s).\nAnswer: 2*s**2*(s + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -9 (c) 18 (d) 0 (e) -0.3 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4077, -8321, -12565, -16809, -21053?\nAnswer: -25297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rphprhbbh. Give prob of picking 1 r and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 24 = -21*w. What is the greatest common factor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 4 = 2*k, 2*w - 3*k = 3. What is g in 3*g**2 - 3*g**4 - 3*g + 3*g**w - g**2 - 2*g**2 + 3*g**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(1\/7)\/c))\/(c\/c**9*c)*(c**(-9))**24 assuming c is positive.\nAnswer: c**(-1443\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + o - 1 - 2, -2*q = 4*o - 12. Let p = -10 - -12. Suppose q = p*j - 3*x - 55, 2 = x - 3. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*x - 4*x**4 + 2*x**4 - 2*x**4 + x**4 + x**3 - 173*x as o*x**3 + y*x**2 + u*x + j + p*x**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/7 - 8\/28. Suppose u*d - 112 = -16. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x - 4*x + 3*x + x**2. Suppose -3*n = n + 2*r + 32, 4*r = -5*n - 43. What is the units digit of w(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20549, 41143, 61785, 82475, 103213, 123999, 144833?\n\"Answer: 24*h**2 + 20522*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -3\/5, -37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 16 + -4 - ((2 - -9) + 0 + -6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:36 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x)*(-3*x**3 - 12 + 0*x**3 + x**3).\nAnswer: 4*x**4 + 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 8382524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.026 smaller than -3479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58013379?\nAnswer: 3, 61, 251, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438489, -438595, -438701, -438807?\nAnswer: -438913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -110001010000010000?\nAnswer: 110001010000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4594 and 1928.\nAnswer: 4428616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y**3 - 321*y**2\/2 - 375*y + 300 = 0. Calculate y.\nAnswer: -10, -4, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevev. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 + 114*h - 48*h - 66*h.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w - 9*w + 46000. Let a be w\/(((-577148)\/(-14800))\/13 + -3). Round a to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 463\/3 + -154. Which is smaller: p or -0.162?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 15. What is the biggest value in 1, k, 2\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4978006618 to the power of 1\/5, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1549, -3926, -18795, -47756, -95507, -166746, -266171?\nAnswer: -398480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17821745 and 2.\nAnswer: 0.3564349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-24)*42\/(-4). Suppose 0*t = 9*t + 18. Which is the nearest to 2\/7? (a) t (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 8:29 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6103992 and -97\/33571956.\nAnswer: 67143912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 127*w - 117*w - 70 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -5, 18, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5928 divided by -5.\nAnswer: -5928\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**4\/12 - 2*c. Let u = -41 + 65. Let p(s) = -u*s**2 + 47*s**2 - 20*s**2. Give h(p(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 192?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 - 7*w**3)*(-32*w**2 + 3448*w - 3451*w + 1 + 2*w**2).\nAnswer: 210*w**5 + 21*w**4 - 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*h - 6 = -0, -2*x - 16 = -5*h. Let y = -19 + 28. Suppose 5*z - j + 2*j = y, -4*z + 4 = 4*j. What is the nearest to x in z, 5, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d + 1. Suppose 4*o - 9 = 15. Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y - 6 = 0. Suppose 3*i = y*i + 2. Suppose -u = -4*z - 1, -4*u + 16 + 6 = i*z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -222593000 to the nearest one million.\nAnswer: -223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4650\/5456)\/(30\/(-33)).\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2286263471 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3760, -3798, -3836, -3874?\n\"Answer: -38*y - 3722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 7*f**2 - 4. Let s(m) be the first derivative of m**4 + 2*m**3 - 3*m + 7. Let c(g) = g. Let r be c(5). Calculate r*s(i) - 4*l(i).\nAnswer: 4*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**3 - 47*b**2 - 19*b. Let v(r) = 9*r**3 - 48*r**2 - 20*r. Let g(s) = -15*n(s) + 14*v(s). Let h(m) = 9*m**3 + 50*m**2 + 8*m. Give 8*g(j) - 5*h(j).\nAnswer: 3*j**3 + 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 379, 2102, 51 in decreasing order.\nAnswer: 2102, 379, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-19)\/(-95) - (-37)\/13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29, -0.064, -10\/7 in descending order.\nAnswer: 29, 0, -0.064, -10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10071 and 48?\nAnswer: 161136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1099160 and 240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)*4*6 - (1 + (1*sqrt(1331) - sqrt(1331))).\nAnswer: -1 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**4\/4 + 25*l**3 - 864*l**2 - 4*l - 145. Suppose v(i) = 0. Calculate i.\nAnswer: 18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 2)*(2*t + t + 6*t) + 0*t - 1 - 6*t - 2*t as x*t + d and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*c**6 - c**4 - 26470*c**3 - 1498376*c**2 + c.\nAnswer: -2280*c**3 - 24*c - 158820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 4940*w - 6011*w to a*w + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**4 + y**3 - 1. Let k(x) = -3*x**3 + 3*x**2 - 13. Let v(d) = -k(d) - 3*r(d). What is the derivative of v(p) wrt p?\nAnswer: -12*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.41892 grams in tonnes?\nAnswer: 0.00001341892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 7*s + 38. Let t be g(-14). Let i = 268 + t. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-6)\/y*y*y**(2\/11))**(-6\/7) assuming y is positive.\nAnswer: y**(318\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 + 68247184*v + 68247186 = 0. What is v?\nAnswer: -1, 34123593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 9\/3 + 0. Solve 4*w + u + u + 4 = y, u = 4*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -24*z - z**2 + 24*z. Let h(f) = 3*f**2 + 2. Let j(d) = -2 - 7 - 13*d**2 + 0. Let o(m) = 18*h(m) + 4*j(m). Calculate l(o(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10900936853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46752539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 3006 - 3006.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 3:10 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163602 by 6.\nAnswer: -27267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/7, 4\/5, -4423?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 422421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 67*a + 28. Determine n(33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4650, 4642, 4634?\nAnswer: 4626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 22*s - 21. Let q be o(-1). Sort 8, 3, 6, q in descending order.\nAnswer: 8, 6, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946*r + 916*r + 860910 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61675083 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 172824 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(26 + -2))\/((-58)\/(-348)). Which is the third smallest value? (a) 2\/9 (b) j (c) -1152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12413129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(5*-1*(sqrt(637) + (sqrt(637) - 2*sqrt(637)*2))*3*1)**2.\nAnswer: 1719903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -49.2, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*b - 25 = 0, 5306 = -5*f + 3*b + 5267 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3469058?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 3\/5, 94647?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, 210, 26556 in ascending order.\nAnswer: -4, 210, 26556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1139*f**6 - 52*f**2 + 7*f + 8?\nAnswer: 136680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*h = 25*h - 112 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 550499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4655 + 0.6655. Which is the nearest to z? (a) 2\/17 (b) 4\/9 (c) 1\/2 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/120 + w**4\/8 - w**3\/6 + 2*w. Let x(o) be the second derivative of d(o). Let u = -1 - -5. Give x(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 385 - 65 = -115. What is the remainder when g is divided by 88?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/76852 and -139\/288.\nAnswer: 5533344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*t - 174 - 45*t + 19*t to a + z*t and give a.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -69*z + 68*z + 2*s, 3*s + 12 = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -43*a + 1970. Let p be h(10). What is the greatest common divisor of 66 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57198 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x + 13*x - 1375. What is the highest common divisor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -14, -5, -2 in increasing order.\nAnswer: -351, -14, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55664 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtg. What is prob of picking 1 t and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27003769 is divided by 13501876?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 527, 1057, 1587, 2117, 2647, 3177?\n\"Answer: 530*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, -19 in decreasing order.\nAnswer: 0, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4 + 12)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p**3 + 2*p**2 - 11*p - 19. Determine q(-2).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96385340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5248440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6231 - 7608 = 5*v, 5*v = -2*q + 6897. Suppose -30920 = -8*n - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -b?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 941 + 379 = -3*z. Let k be 25\/25 + (-1395 - -1). Let d = z - k. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 28. Let v be o(-11). Solve 5*n = -4*w - 20, v*w + 12 = -5*n - 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - 100 - -31) + -1 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 6*o**2 + 4*o - 1. Is 10 a factor of c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -182*x + 184*x. Put -2, x, -7, -5 in decreasing order.\nAnswer: x, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05895 smaller than -1431\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kskiiiiiksikiiii?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 36. Let r(z) = -z**3 + 4*z**2 - 3. Let a be r(n). Let f be (-49)\/(-6)*(-16)\/a. Which is bigger: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 - 14*l**4 + 32*l**3 - 24*l**2.\nAnswer: 2*l**2*(l - 3)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 12) in base 7?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + (-7)\/22. Suppose -8*w + 11*w + 12 = 0. Let n(j) = -j - 5. Let p be n(-6). What is the third biggest value in w, i, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 279*w**2 + 125*w + 127. What is the thousands digit of k(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 456\/456*(-26)\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 61, 63, 67, 73, 81, 91?\n\"Answer: d**2 - d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.5. Let v = -0.65 + 0.95. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.139442 weeks?\nAnswer: 5527534521600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 2*z + 18. What is the remainder when 86 is divided by d(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -994 - -1085.8. Let y = a + -92. What is the nearest to 1 in 4, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m**2 - 748*m + 16. Let d(x) = 5*x**2 - 373*x + 10. Give -5*d(n) + 3*l(n).\nAnswer: 2*n**2 - 379*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 3300.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 12, 3, 4, 0.1 in ascending order.\nAnswer: -137, 0.1, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {z: 5, u: 1, s: 5, q: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s**5*s)\/s))*s**(3\/5)*s)**(-21)\/((s\/s**3*s*s*s\/s**(1\/4))\/(((s\/(s*s*s**(-1\/4)*s*s*s))\/s)\/(((s*s**(-1\/3)*s)\/s*s)\/s))) assuming s is positive.\nAnswer: s**(-4973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -46*w**3 - 145*w**2 + 9*w - 4. What is g(3)?\nAnswer: -2524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*-4 - 6\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -2\/17, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-14))\/((-70)\/56). Let n = 31\/70 - w. What is the third biggest value in 2, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*i - 6 = 0, -2377*j = -2389*j + 2*i - 262 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) -1\/4 (b) -5 (c) 428 (d) 0 (e) 34 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1)\/(212\/(-424)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:12 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/((-1)\/((-4)\/40)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 + 7*y + 1. Let q(f) = -5*f**2 - 9*f - 2. Let o(i) = -3*q(i) - 4*s(i). Determine o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 4, 0.4, 2 in decreasing order.\nAnswer: 176, 4, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - (-325)\/20. Suppose -4*b + 2*x - 26 + 146 = 0, -4*x = 2*b - 80. What is the greatest common factor of b and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1089.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + 14. Suppose i + 3*i = 24. Calculate the greatest common divisor of x and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18032 and 33314.\nAnswer: 300359024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**2 + 11*o - o - 30*o**2 + 0*o**2 - 4.\nAnswer: 3*o**2 + 10*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p. Let a(q) = 3*q**2 - 32*q - 48. Determine a(c(r)).\nAnswer: 12*r**2 - 64*r - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*m - 0. Let g(y) = -y**3 - 8*y**2 - y - 5. Let s be g(m). Let z be (-3)\/(-2)*s\/9. Which is greater: z or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1855*b + 259694. Calculate f(-140).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 10*q**2 - 9*q. Let b be k(-9). Suppose 0 = -b*l + 3*l. What is the second derivative of l*c**2 - c + c + c**2 + 3*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd01 (base 14) to base 4.\nAnswer: 102231131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343208048.\nAnswer: 2, 41, 443, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5787)\/13503)\/((-3)\/(-21)*-24).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -6*l + l + 6132, -3*l - 18396 = -3*t. Suppose 1865 - t = 17*x. Is x at least -251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by 8?\nAnswer: -199\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.96 + -2. Let q = -0.29 - -1.29. Let b = -0.2 - 0.8. What is the closest to b in q, v, 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -111, -189, -301, -459?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 0*b**3 + b + b**3 - 4*b**2 - 6*b + 0*b. Let p be -1 + 0 - (1 - -2). Let o(t) = t**3 - 3*t**2 - 4*t. Calculate p*i(y) + 5*o(y).\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-18\/5)*p**(-6) assuming p is positive.\nAnswer: p**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 50*t - 93. Let u be k(-15). What is the highest common divisor of u and 1482?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f - 35 - 16 - 7 + 7*f - 3*f.\nAnswer: 14*f - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -138?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose -2*f - 3*c = f - 18, c - j = 0. Which is smaller: f or 11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216100483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**2\/2 + 6*f - 3. Let v be b(0). Suppose v = 3*q - 6*q. What is the biggest value in 1, q, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1928 is divided by 277.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1079, -1123, -1167, -1211, -1255?\n\"Answer: -44*j - 1035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 576, 1246, 1910, 2568, 3220?\nAnswer: 3866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*q**2 - 1160*q + 15 = 0.\nAnswer: 1\/77, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 501 and 42357880?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 2010011?\nAnswer: 2010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*j + 1076 = -400*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -894023600 by -100.\nAnswer: 8940236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*n + 5*h = 24, -n - 2*h = -9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 - 10*k + 2. Let i be p(2). Solve -4*z + i*c = -3*c - 37, 2*z - 26 = 4*c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 45 = -3*a + 4*h, 8*a - 4*h - 165 + 41 = 0 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 52 = 9*u. Is 11 a factor of 51 + -1 + (-12)\/(1 + u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15) - 184\/(-30). Let w(a) = 20*a**3 - 2*a**2 + a + 5. Let q be w(4). Is q\/t - (-6)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -70*y + 77*y. Suppose -5*u + 21 = t, 0*u - 77 = -3*t - u. What is the highest common factor of t and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15174 - 9247. Let l = 8387 - b. Suppose 9*p - 11*p + l = 0. What is p rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.3*3.\nAnswer: 72.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 54*j + 995. What is p(-17)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*g + 448 = 76*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:05 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 9*p**2 + 0*p**4 + 3*p + 13\/20*p**5 + 0*p**3 + 0. What is the derivative of q(c) wrt c?\nAnswer: 39*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**2 + 18*x - 117. Let c be f(-7). Factor -1\/2*u**c + 2 + 0*u.\nAnswer: -(u - 2)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0329 - -0.0629. Which is smaller: i or 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + (-54 + 118 - 46).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4 - 2 + 5 + 0 - g. Let j(w) = -3*w**2 - 6*w - 3. Let x(c) = j(c) - 4*p(c). What is x(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {m: 1, o: 4, w: 5, j: 10}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 3*v**2 - 12*v - 27. Let o be k(-12). Let m = 89 + o. Solve -m*l - g = 21, -4 = 3*l - 4*g + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2)*(-16)\/12. Suppose 2*f + 2*a - 48 = -4, v*a - 86 = -4*f. Suppose -2*n + 23 + f = 0. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 165733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.1362 hours in microseconds?\nAnswer: 331690320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let n = y + 1.6. Let p = -0.8 - -5.8. What is the second biggest value in p, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - h - 12, -18*q + 32 = -14*q + 4*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -14, -60, -134, -242, -390, -584?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6946628 centuries?\nAnswer: 69.46628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 10 = -2*k - 13, 35 = 5*u - 5*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 290*k**3 + 61*k**2 + 8*k - 1573. Let g(q) = -290*q**3 - 47*q**2 - 6*q + 1574. Let h(i) = 3*d(i) + 4*g(i). Differentiate h(z) wrt z.\nAnswer: -870*z**2 - 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2. Let m(g) = 475*g**2 - 4. What is u(m(x))?\nAnswer: -676875*x**4 + 11400*x**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1010669, -1010671, -1010673?\nAnswer: -1010675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h - 2. Let t(s) = -191 - 52*s + 194 + 59*s. Suppose 0 = -6*n + 2*n + 16. Calculate n*t(m) + 5*o(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 + -2*(-5)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/7 - 9362*n**2\/7 - 177116*n\/7 + 26640 = 0.\nAnswer: -4662, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17465255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18151*c - 18048*c = 13811 - 2584 for c.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 9. Let v be (-17)\/(-4) + f\/(-28). Let x = -366 + 368. Sort x, v, -3 in descending order.\nAnswer: v, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - ((48 - 19) + -20) - -24.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1220850 by -406950.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43168 is divided by 2514?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**3\/9 + 433*y**2\/3 - 104786*y\/9 - 265832\/3 = 0.\nAnswer: -7, 94, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.02 + 0.68. Let m = 7 - z. Let h be (-12)\/(-66) + 19\/(-44). Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + (240 - 250 - (21 - 1))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 63335, 63307, 63259, 63185, 63079?\n\"Answer: -c**3 - 4*c**2 - 9*c + 63349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, 1.4, 1.3, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24a73 (base 11) to base 12\nAnswer: 18934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-13)*c**7*c*c**(-8)*c**(-2\/15) assuming c is positive.\nAnswer: c**(-182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -219. Suppose 3*r = 4*r + 5*q - 133, b = r - 3*q. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 1022685*m**2 + 1022685*m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -x + 4*l + 3, 4*x = -2*l - 46. Let f = 5 + x. Let y = f + 7. Solve 5*k - 24 = q, 0 = 4*q + 2*k + 9 - y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12542*b**5 + 5*b - 9885 wrt b?\nAnswer: 250840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/5)\/(0 + 1). Let p = 53.3 + -63. Let h = -7.7 - p. Which is the nearest to -2? (a) h (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 645 = -27*z - 16*z for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 36. Suppose 0 = t*s + 4*s - 525. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8768 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.26142 and -121.8.\nAnswer: -121.53858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (210\/25)\/(-21)*-5*1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f. Suppose 2*p = -2*k + 17 + 1, -5*k = -2*p - 52. Suppose -3*x - 3*j + 2*j = -14, 3*x - k = j. Let i(y) = -8*y + 7*y + 0*y + x*y. Determine w(i(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 9*p + 274 = 0. Let w = 144 - p. Suppose -2*z - 2*z = -w*z. Solve -3*b + z*b = o - 6, b = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.8 + -6.3. Let f = i - -1. Which is the third biggest value? (a) 8 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 12. Suppose b - 6 = 5. Suppose n = 3*q - 0*q - 86, -3*q + 3*n = -84. What is the remainder when q is divided by x(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7794.4797 microseconds?\nAnswer: 0.00000216513325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/3 - 6000*p + 2. Let x be 0\/(-8) + 1 + -1. Let i be g(x). Round i to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10*m + 33. Suppose h + h - 20 = -4*j, 2*h = 4*j + 28. What is the tens digit of n(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -112, -174, -238?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8, -17, -26, -35, -44, -53?\n\"Answer: -9*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157361*a - 156883*a + 314249*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f - 4. Let s be (f + -4)*-1 + 6. Solve -4*v - 2*g + 2 = -8, -s*g = -3*v - 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53 and 13908631.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88156*u**2 - 1045 + 1045 - 88151*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/8)\/(g**(-2)*g))\/(g**(1\/3)*g)**(-2\/69))**(-15\/2) assuming g is positive.\nAnswer: g**(-9635\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2589)\/1980 + (-4)\/(-44) and 3 - (-2)\/((-120)\/331).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/84*(-36)\/(-16). Suppose 4 = -r + 2*r - 4*b, 2*r - 4*b = 8. What is the fourth smallest value in r, -3\/2, -1, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2890 - -2920. What is the greatest common factor of y and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 12\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppppppppprppp.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 186*h + 1. Let i be c(3). Suppose 4*n + m = 4*m - i, -2*n = -m + 279. What is the closest to n in -1, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 i when three letters picked without replacement from qphpqqphki?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + a = -330. What is the hundreds digit of 54\/(-405) - 8194\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32011*-0.91\nAnswer: -29130.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 177\nAnswer: 5\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 8570960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4198 or 4199?\nAnswer: 4199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + -3 + (69 - 73).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11651 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -345315*-0.16\nAnswer: 55250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmvj when four letters picked without replacement from {v: 1, j: 3, a: 5, m: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82749?\nAnswer: 3, 27583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/7 + -3)\/((-6)\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 145666576 and 8107.\nAnswer: 145666576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6115)\/2446)\/((-18)\/(-4)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 1177.\nAnswer: 163\/1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35999?\nAnswer: 35999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2 - 100*h - 7. Calculate the remainder when x(-7) is divided by 89.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 840 and 13873160.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (523 - 577 - (12 + -1)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3309 divided by 1103.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6183 and 1566.\nAnswer: 358614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1027787 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4 = 4*y - 0, 25*u - 112 = -20*u + 17*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + w - 1. Let a(x) be the first derivative of -2*x**3\/3 + 5*x**2\/2 - 6*x - 7. Calculate -a(c) + 3*p(c).\nAnswer: -c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7768401 divided by -3?\nAnswer: -2589467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + 21 + -771 + 750.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d - 114 = 33*d - 23*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 14, r: 1}. Give prob of picking 2 e.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -22.96. Let s = 0.85 + 1.15. Which is the closest to -1? (a) s (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q**2 + q + 1. Let s = -3 + 2. Let f be n(s). Let c = f + 28. What is the smallest common multiple of 8 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3569000 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 19*b**2 - 19*b - 29. Determine p(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(40))\/sqrt(5))\/(sqrt(64)\/sqrt(4)))**2 + ((5*(sqrt(2)*-2 - sqrt(2)))**2 - (sqrt(2)*-1 + -4))*-2.\nAnswer: -1815\/2 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -680*p + 48 = -676*p + 2*c, 0 = -c - 4. Suppose -a = -0*a - 37. What is the remainder when a is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 0 + 0*r + 1\/4*r**3 - 19*r**2 - 9\/20*r**5 - 1\/32*r**4. Factor b(p).\nAnswer: -3*(4*p + 1)*(9*p - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.02 + -0.22. Let f = c - -0.1. Which is bigger: f or -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**3)**(-50)\/(i*i**(2\/11)*i)**(-5\/8))**(1\/12))**(-4\/17) assuming i is positive.\nAnswer: i**(-1115\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/10 - 3*x**2\/10 + 2\/5.\nAnswer: (x - 2)**2*(x + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**2 - 2*y. Let a be v(-1). Suppose a + 9 = -5*p. Let b be ((-55)\/(-75)*6)\/((-1)\/p). Solve -b = -5*i - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 54. Let l = -28 + u. Solve q = -3*q + l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -7*r**4\/12 - 2*r**3\/3 - 36*r**2. Let n(v) = -13*v - 8*v + 43*v - 13*v - 11*v. What is h(n(t))?\nAnswer: 28*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.9 - -22. Let i = -26 + -2. Let k be ((-6)\/i)\/((-6)\/8). Which is the closest to k? (a) g (b) -1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*-1*sqrt(76) - 4*(sqrt(76)*-2 - sqrt(76) - sqrt(76)))\/(sqrt(64)*1*-5) + -4.\nAnswer: -4 + 22*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 1:39 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -1521 - 14445. Suppose c - v = -2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = a, -a + 3*a + 2*q = 10. Suppose 3*j = -2*j - 5*c + 15, -c + 7 = 3*j. Let z = -99 + 99. Solve -j*r = -4*g - z - 12, 2*g = a*r - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1070797 or 1070798?\nAnswer: 1070797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1573) + 0 - sqrt(1573))**2 + sqrt(1573) - -5*1*sqrt(1573))*-1 + -2.\nAnswer: -66*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -189, -383, -591, -819, -1073, -1359?\n\"Answer: -g**3 - g**2 - 184*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 122 = 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1)\/(12 - (-6 - -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(96) + -4 - (-1 + sqrt(50) - sqrt(18)\/(sqrt(27)\/sqrt(3))).\nAnswer: -15*sqrt(2)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -2, -3, 0.89?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*u + 14*u + 3 + 8*u**4 + 5*u**4 - 24*u**3 + 0*u - 4*u**4 wrt u.\nAnswer: 108*u**2 - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700473650?\nAnswer: 2, 5, 3719, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 0*d - d + (1 + 2 - 1)*(8*d + 7*d - 16*d) - d - 1 + 1 as b + v*d and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -245, -357, -451, -521?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -7*l + 20. Solve -a = l*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -73*r**6\/6 - 131*r**4 - 203*r. What is the third derivative of v(k) wrt k?\nAnswer: -8760*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1, 1237, -122?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 10*i**2 - 1281*i + 5*i**2 + 1281*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/14232821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - (42 + 11)) + -27.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*b**2 + 128*b**2 - 4 - 114*b**2 + 449*b**2 + 406*b**2 as c*b**2 + h*b + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11666601.\nAnswer: 3, 59, 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9275 - 9197. Calculate the least common multiple of 598 and x.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1040509, 4162043, 9364599, 16648177, 26012777?\nAnswer: 37458399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4768)\/(-2682)*(-45)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86698*g + 49*g**3 + 86698*g.\nAnswer: 49*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 4*j**2 - 23*j - 13. Let l be i(-9). Let q = l + 212. Solve 0 = 15*u - 16*u - q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -82, -117, -164, -217, -270, -317, -352?\n\"Answer: v**3 - 12*v**2 - 6*v - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 + 7678?\nAnswer: 6325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - r + 2*r. Solve 2*d + r = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*a + 307*a - 667*a - 187*a to the form w + o*a and give o.\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**3 + 4*x**2 + x - 2. Let g be l(-2). Let k be g\/8*(-32)\/6. Suppose 5*s - 3*a - 42 = 0, -3*a - a = 4*s - k. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/9)\/(6\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -28 - 13 - (0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 55 = -x - 2*m, 4*m - 275 = -5*x. Calculate the greatest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(3300) + sqrt(3300)))\/(4*1*sqrt(1331)).\nAnswer: -5*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 22*r + 74. Is 5 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3, -4 in decreasing order.\nAnswer: 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9)\/k*k**(-10))\/(k**(-2\/7)\/(k\/(k**(-2\/21)*k))))**(-1\/16) assuming k is positive.\nAnswer: k**(103\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11945 and -3.311.\nAnswer: -11948.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 + 4837*s**4 + 2*s**3 - 56602*s**2.\nAnswer: 60*s**2 + 116088*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12669087300 to the nearest one million.\nAnswer: 12669000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) 0.4 (c) 0 (d) -4 (e) 1 (f) 23\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (-2 - 4) + 28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1cc0 (base 13) in base 14?\nAnswer: 184d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*y = 5*g + 17, 5*g - 5*y = -5. Solve 2*h - g = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 13*r = -20*q + 465, 2*r - q + 8 = -2*r - 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*v**2 + 3*v**2 + 3)*(-22*v**2 + 555*v**2 + 52*v**2).\nAnswer: 585*v**4 - 585*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -102, 10, 198, 480?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2360\/161209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2349 and 11440413?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 + 75 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -3*f - 154 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2449 - 0.3549. Sort -36, k, -0.2, 4 in increasing order.\nAnswer: -36, -0.2, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 17. Let j be c(-11). Suppose -26 = -j*r - 2. Solve z - 3*l + 0 = 2, -r*z = 2*l + 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 64*x + 1607. Determine c(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -41. Suppose 3*h + 12 = 5*q - 7, 4*h + p*q = 28. Let l = -4.94 + -0.06. Sort h, -0.5, l.\nAnswer: l, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 6*j + 2*j)*(-732 + 371 + 386).\nAnswer: -25*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1088) + -2 + -3*sqrt(17))**2 + 5*sqrt(425) + sqrt(272)*2.\nAnswer: 141*sqrt(17) + 12397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4\/4 - 2*a**3\/3 - a**2 - 3*a - 2. Let t be h(-2). Let o be (1 - -1) + 2*t. Solve o*b + 4*u - 22 = 6*u, 5*u = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a + 6 = 0. Let j = a - 2. Solve 2*c + j = -5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*j + 15*j + 53 = 2*h - 8*j, -5*h - 91*j = -383 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2059267\/62 and -33213 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 436333 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 14, -6805, 5, 4 in descending order.\nAnswer: 14, 5, 4, 1, -7, -6805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1458 and 69984?\nAnswer: 69984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5260 divided by 1052?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-5\/13))*w\/(w*w\/w**(5\/8)*w*w))\/((w**7*w)\/(w*w\/(w\/(w**(3\/37)*w)*w)*w)))**(1\/45) assuming w is positive.\nAnswer: w**(-26587\/173160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301645 and 9965164?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21235.8 times 0.3\nAnswer: 6370.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.22 (b) 2 (c) 1 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254 - 162.5. Let o = s + -91. Let x = -124\/335 + -2\/67. What is the nearest to x in 2, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-5))\/(p\/p**2)*p**(1\/2)\/(p**4\/p*p))\/((p**2\/(p*p**(1\/7)*p))\/(p**(-1))**(-47)) assuming p is positive.\nAnswer: p**(569\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -901, -742, -509, -166, 323, 994?\n\"Answer: 6*g**3 + g**2 + 114*g - 1022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(3) + sqrt(3) + -2 - sqrt(3)) - (sqrt(3) - (sqrt(3) + 1 + (sqrt(3) + sqrt(3) + sqrt(3)*1)**2)))*-3.\nAnswer: -102 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.36 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + (-21)\/(-6))\/(7\/98). Suppose -23*o - p = -24*o. Calculate the greatest common divisor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b - 71*b + 94 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + g**2 + g. Let k(r) = -18*r**3 + 18*r**2 + 15*r. Let q be (-12 - -27) + 0\/1. Let t(z) = q*x(z) - k(z). Factor t(n).\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sccjs. Give prob of picking 2 c and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -13.18 (c) -3 (d) 0.11 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11062953 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n + 22. What is the smallest common multiple of 9 and 18\/4 - 3\/n?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**4\/4 - 16*z**3\/3 - z**2\/2 + 7*z + 13. Let b(r) = r**3 - 1. Let h(d) = -4*b(d) + j(d). List the prime factors of h(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147526?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2611 - -2594.68. What is h rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -2*l**7\/21 + 8*l**6\/15 - l**5 + 2*l**4\/3 + 29*l. Factor v(t).\nAnswer: -4*t**2*(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - r + 3. Let t(b) = -52*b**2 + 3*b - 11. Give 3*j(z) + t(z).\nAnswer: -55*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 + 95*h**3 + 18*h**2 - 99*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12747304, 4, 3 in ascending order.\nAnswer: -4, 3, 4, 12747304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8409440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3 = 1. Suppose d + 2 = j*d. Solve 0 = -d*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(((-30)\/6)\/5)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10813, -20915, -31017, -41119, -51221, -61323?\nAnswer: -71425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 7*c**2 + c + 2. Does 8 divide i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 125*((-18)\/(-15))\/3. Suppose -4*k + 63 = -3*i, -i = -4*k + 3 + o. Suppose 10*u + 102 = k*u. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**3 + 102*u**2 - 7*u - 9. Let l(o) = -7*o**3 + 101*o**2 - 6*o - 8. Give -7*l(k) + 6*y(k).\nAnswer: 7*k**3 - 95*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, w: 2, b: 2}. What is prob of picking 1 w and 1 b?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/7, 3, 3\/7, -1\/5, 38, -0.168?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 l, and 2 h when four letters picked without replacement from dlddddlhlqldddhih?\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3*q**(4\/7)*q**(-2\/5)*q*q\/q**(-4\/5))\/((q**(1\/2)*q*q)\/q*q*q*q**(-1)*(q**0)**(-21)) assuming q is positive.\nAnswer: q**(243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3841\/21 - -183. Suppose -2*i = 2*z - 7 - 3, 0 = i - 5. Let y = -842 + 3369\/4. Which is the nearest to y? (a) t (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(49\/(-18)) + -3. Let z be -1 + 3\/9 + -1. Which is the smallest value? (a) t (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let x(q) = -3*q + 1. Let m(w) = 9*o(w) - 4*x(w). Let a be m(3). Find the second derivative of -u + 4*u**a + 6*u**5 - 5*u**5 wrt u.\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**4 + 2*w**2 - w - 1. Let t(d) = 54*d**4 + 4*d**2 - 2*d + 38. Let n(c) = 4*h(c) - 2*t(c). Differentiate n(m) wrt m.\nAnswer: -464*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 427 + -2142\/5. Let g = -26\/15 - w. Let h = -20 - -15. Which is the biggest value? (a) g (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -197408, -2.\nAnswer: -197408, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6524527.\nAnswer: 67, 97381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssasaonsoo. What is prob of picking 1 n, 1 a, 1 s, and 1 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 3. Calculate o(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132424926419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m - 3*m - 4 + 5 + 14*m in the form a*m + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**3\/3 - 3*m**2\/2 + 2*m - 119. Let t = 43 - 25. Suppose 3 = -5*a + t. What is s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.44.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*s + 22, 7*z - s + 740 = 809 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*q = -43*q + 2*r + 703, 4*r + 1169 = 5*q. Suppose q*z + 33 = 240*z. Suppose -2*b = -3*b + 6. What is the remainder when z is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 - 87*l**2 + 96*l + 170. Let v(f) = 4*f**3 - 86*f**2 + 94*f + 169. Let a(x) = 5*m(x) - 6*v(x). Find z, given that a(z) = 0.\nAnswer: -82, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145408548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(833) + 1)*6 + 0 + (2*sqrt(833) - sqrt(833)))*-6*2)**2.\nAnswer: 84672*sqrt(17) + 5882833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let q be (-2)\/(4 + -2 + -1). What are the prime factors of q - r - -2 - -22?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 17*h**2 - 23*h - 27. Give l(-18).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 897.933 to 0 dps.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dcrddcdr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -2980017\nAnswer: 1490008.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + d + 4. Let z be i(-5). Calculate the common denominator of (12\/30)\/((-166)\/15 - -6) and 2 - 85\/(-6) - z.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**3 - 9*o**2 + 9. Let i(y) = -20*y**3 - 20*y**2 + 20. Let f(t) = 4*i(t) - 9*u(t). Let p(n) = -6*n**3 - 8*n**2 + 8. Calculate 40*f(j) + 5*p(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.2 in 1, -1\/31, 15, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y + 432. Let r be w(-24). Calculate the highest common factor of 1248 and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u - 24. Let w be (-2)\/u*(-8 - 1). Solve -3*l - 9 = 0, w*n = -0*n - 2*l - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in seconds?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 15*q**2 + 30*q - 450. Let k be m(15). Solve -t - 60 + 62 = k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g**3 + 78*g**3 - 29*g**3 - 19*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*v - 69*v + 183*v.\nAnswer: 210*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 5\/3*j**3 - 6*j - 5\/12*j**4 + 0*j**2 + 0. Factor w(a).\nAnswer: -5*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 560*i**4 + 798*i**3 + 5280920*i**2.\nAnswer: 13440*i + 4788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 2. Let u(n) be the third derivative of n**4\/6 + n**3\/2 + 57*n**2. Determine 3*c(s) - 2*u(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1818*m - 1773*m - 1663245. What are the prime factors of m?\nAnswer: 23, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 8*g**2 + 8*g + 9. Let l be n(-7). Suppose l*k - k = -1. What are the prime factors of 0 + -8*(k - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 1) + 4 - (89 + -30 - (5 + -1))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 425, 834, 1375?\nAnswer: 2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.917 to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 divided by 152.\nAnswer: -99\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (224\/20)\/(98\/(-245)). Suppose 0 = -2*c - 3*p - 125, 3*p = 5 + 4. Let f = m - c. Calculate the least common multiple of 6 and f.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -273889.77 and 14?\nAnswer: -3834456.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 2*k - 12. Let z be s(-3). What are the prime factors of ((-9756)\/z)\/(3\/4)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x**5\/13 - 2*x**4\/13 + 56*x**3\/13 + 62*x**2\/13 + 12*x\/13 = 0. Calculate x.\nAnswer: -2, -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227841*d**4 - 21*d**2*o - 188321*d*o + 19*o wrt d.\nAnswer: -2734092*d**2 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.1506556?\nAnswer: -0.03013112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 58*k**2 - 119*k**2 + 69*k**2.\nAnswer: -108*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-48))\/((-4)\/15112). Let i = c - -315. What is the nearest to 0.02 in 3, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-55)\/(-10) + -3). What is the closest to -2\/3 in -1\/2, -1, a?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23803586?\nAnswer: 2, 487, 24439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:08 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57.6311 - -57.6. Let t = 0.029 + d. Round t to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*q + 36*q + 306 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/54 or 2\/21171?\nAnswer: 2\/21171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -2*p - 65. Let s = 13 - p. Solve s = -5*v + v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1632\/60 - 1\/5. Let a = -13 + 18. Suppose 4*d - 3*o = 5*d + a, 3*d = 5*o + f. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + g + 0*g + 5*g + g - 3*g + (-3*g + 3*g + g)*(3 + 0 - 1) + (-4 + 2 + 1)*(-g - 6*g - 4*g) + 3*g + 5*g - 4*g to r + m*g and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10438, -41744, -93926, -166984, -260918?\n\"Answer: -10438*f**2 + 8*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61024 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 + 6. Let p(r) be the second derivative of 0 + 3*r + 1\/10*r**5 + r**2 + 0*r**4 + 0*r**3. Suppose 4*u + u = -55. Give u*p(l) + 4*v(l).\nAnswer: -2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10611473.8425 take away 3?\nAnswer: 10611470.8425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 116 in 1\/3, -1, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + 0*a - 3*a)*(14*a - 14*a + 3*a**3 + (0 + a**2 + 0)*(14 - 14 + 3*a)) as c*a**3 + s*a**2 + f + d*a + w*a**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 73*x**3 - 2*x - 1. Suppose -3*a + 6 = 0, 2*g - 107*a + 108*a = 0. What is t(g)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*h = 96*h - 630. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*z**4 - 274*z**4 - 220*z**4 + (-5*z**3 + 2*z**3 + 2*z**3)*(-1 + z + 1).\nAnswer: -433*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*q**2\/5 + 5662*q\/5 + 188436\/5.\nAnswer: 2*(q + 41)*(13*q + 2298)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10051706*h + 9781493 wrt h.\nAnswer: -10051706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bub when three letters picked without replacement from {b: 3, v: 4, q: 1, u: 4, h: 7}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/14 - 0) + (-285)\/(-567). Is f greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 37. Let k be i(27). Let w(b) = b**3 + 11*b**2 + 9*b - 5. Let f be w(k). Suppose -2*j + 4*y + 755 = 3*j, -f*j + 755 = -3*y. Is 34 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1925 + 7639 = 4*j, -7166 = -3*j + 5*v. Calculate the greatest common factor of j and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 581 - 638509.\nAnswer: -637928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71 and 13.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:53 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9052 by 4526.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -4*b + 5*a - 54, -a = -b + 40. Let g(r) = -r + 10. What is the remainder when b is divided by g(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -403.14799836359 + 403.148. What is f rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1397 + 2515. What is the first derivative of -1100 - 4*u + k - 2*u**2 + 20*u wrt u?\nAnswer: -4*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 12*s**2 + 48*s + 50. Does 5 divide k(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05 and 0.27074.\nAnswer: 0.22074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/5, -3, 2\/15 in decreasing order.\nAnswer: 1\/3, 1\/5, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -904530 or -904533?\nAnswer: -904530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.8 (c) 17 (d) -0.3 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-22)\/16 - 7\/56. Let s(g) be the second derivative of 0 + c*g**2 - 1\/8*g**3 + 1\/48*g**4 + 6*g. Determine u so that s(u) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o + 3. Suppose -2*a - 57 = -31. Calculate the smallest common multiple of g(a) and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-137)\/3 - 24\/(-36). Let l = v - -47. Suppose -2*s - l*w + 5*w + 21 = 0, 0 = s + w + 2. Which is smaller: s or 21\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - 51. Suppose 0*a + k = a. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 2148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -4, -117 in descending order.\nAnswer: 5, 3, -4, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 32. Suppose h = 3*q - 8*q + 55. Calculate the remainder when 21 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 103 = 129. Let a = 102 + b. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v - 77. Let d be k(13). Let j(h) = -h - 1. Let s(n) = -2 - n**2 + 8 - 1 + 7*n. Calculate d*s(i) + 6*j(i).\nAnswer: -i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/17)*z)\/(z*z**(-35)) assuming z is positive.\nAnswer: z**(611\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.07. Let s = 0.15 + l. What is s rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -5 + (-27 + -2 - (-284 - -281))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*(-3500)\/8400*204?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -25489*p - 524*p + 3833*p as b*p + t and give b.\nAnswer: -22180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 7. Let h be q(-5). Let j = 13 - h. What is the remainder when 32 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 20*h**3 - 9 + 1 - 3.\nAnswer: -20*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -2\/41 (b) -274 (c) -2 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*v + 8, 5*h = 4*v - 2*v - 3. Suppose -3*s + 21 + 6 = -3*n, n = v*s - 48. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ecbecbcccececececcc. Give prob of sequence ebc.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3 - 12*z**2 - 13*z + 20. Determine h(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 41 = 4*f, -5*p + 38 = 5*f + 43 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 170*t**2 - 5025*t - 35190.\nAnswer: 5*(t - 23)*(t + 6)*(t + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38229438.9 times -5?\nAnswer: -191147194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4019916 millilitres to litres.\nAnswer: 0.0004019916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 44*l - 456. Give p(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 + j - 2. Let t be q(4). Let g = t - 10. Let i(c) = 3*c**2 + 3*c - 7. Is i(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29462 is divided by 14482?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*h + 20502, 3514 + 37498 = 4*w + 4*h. What are the prime factors of w?\nAnswer: 2, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543683228 to the nearest integer?\nAnswer: 23317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 178. What is the smallest common multiple of y and 21?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 3*k + 3, -5 = j - 2*k. Solve 4*o + j*i = -4, -2*o + i = 5*i + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5073, 0, 2, 7, 4 in ascending order.\nAnswer: -5073, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -3*v**2\/2 + 15*v. Let p(r) = -1. Let i(k) = -k. Let h(a) = -i(a) + 6*p(a). Give -6*c(w) + 3*h(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.14 + -7.86. Let w = 0.09 - -7.41. Let x = w + q. What is the smallest value in 1\/4, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1186 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i - 180 = 15*r - 13*r, i + 36 = -3*r + 48 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*m + 5322 - 1931 = 1072*m - 21669 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*j + 4*g - 2338 + 2203, 0 = j + 10*g + 7 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 - -0.29. Let n = 0.01 - -0.01. Let m = n + -0.32. What is the closest to o in m, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4 + 5*s**2 + 2 + 3 to j*s**2 + f*s + p and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 18. Suppose 5*h - d - 35 = 0, -c*h = -4*h - 4*d + 12. Suppose -h*k + 10 = -3*k. Solve 0 = 2*s - g - 0*g - 11, 4*s + k*g = 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - y = -4*s + 9229, 3*s - 5531 = -y. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2880701197 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -23272499?\nAnswer: -23272505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssynsnsy. Give prob of sequence ysn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 7. Let u be g(11). Suppose 0*w - 2*w - u*v = -28, -2*w = 5*v - 28. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -217053843.6000067 - -217053854. Let f = 20 + -9.6. Let p = a - f. What is p rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.098\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 2*d - 2 - 5*d)*(3*d**4 + 79*d - 79*d).\nAnswer: -18*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 446543371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12481 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - j**2 - j + 1. Give i(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 520 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7813.297l in millilitres?\nAnswer: 7813297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*10\/(-16) - 20\/16. Let o(b) = 3*b**2 - 4*b + 1. Let q be o(1). Solve 3\/11*w**4 + q - 1\/11*w**5 + 0*w + s*w**2 - 2\/11*w**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117313662.\nAnswer: 2, 3, 23, 113, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520738777?\nAnswer: 19, 80038883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501035 = -3050*b + 574235 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27855 is divided by 8662.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57418935*n**2 - 13322164*n.\nAnswer: 114837870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/65264528 and 13\/179477452.\nAnswer: 717909808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 196*p - 12255 + 14999 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16620 + -0.5?\nAnswer: -16620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109599 is divided by 403.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.5 - -6. Let c = -6.5029 - m. Round c to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0, 0.3, -0.5654, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/4074 and 52\/28073061.\nAnswer: 393022854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 132\/176*(-78)\/(-9).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 423 by 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*s**3 - 14*s**3 - 8*s**3 + (2*s + 0*s - s)*(2*s**2 - 2*s**2 + 2*s**2) + 39 - 39 + 8*s**3 to the form p + v*s**2 + m*s + b*s**3 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = 5. Let d be (t - 11)*8\/(-20). Suppose d*s - 619 = 225. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*y + 147685, -f = -2*y - 8943 - 20597. What are the prime factors of f?\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, c: 7, g: 5, f: 1, m: 2}. Give prob of sequence acmr.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*r + 174 = -70. Let d(y) = -15*y - 18. Give d(r).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/22 and 115\/318.\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21381, 42818, 64255?\n\"Answer: 21437*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -2*s + x, -5*x + 0 - 5 = 0. Suppose s = n - 41. Suppose 4*o - n = 24. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634494.4 rounded to the nearest 1000?\nAnswer: 634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15852)\/(-43593))\/(14\/(-22)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -74076, -295918, -665654, -1183284?\n\"Answer: -73947*u**2 - u - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 1115 + 5459. Suppose 4*k - w = -i + 5*k, 0 = 4*i + 5*k - 4353. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*h + 20, 0 = 4*p - 5*h - 16. Find the third derivative of -109*c**6 - p*c**2 + 2 - c**3 - 50*c**6 + 14*c**2 + c**3 wrt c.\nAnswer: -19080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 72. Let v(i) = -5*i**2. Give v(x(m)).\nAnswer: -245*m**2 - 5040*m - 25920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 1965.\nAnswer: 113970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**2 + 2*i - 11. Let m(t) = 13*t**2 + 3*t - 23. Let f(z) = -4*m(z) + 9*o(z). Let l be f(-5). Solve 4*h - 50 = -5*v - l, 5*v = h + 22 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/(-588)*-4*-1*(-18)\/((-972)\/(-189)).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/12)*w**14 assuming w is positive.\nAnswer: w**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 157 = 4*y, -4*y + 2*d + 68 = -98. Let z = -40 + y. Let j be -1 + 1 - 1\/(-2). Are z and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**5\/390 + 11*v**4\/78 + 25*v**3\/13 - v**2 - 18. What is y in d(y) = 0?\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/7)*s**(-38))\/((s**4*s)\/(s**(-2)\/s))**24 assuming s is positive.\nAnswer: s**(-1611\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*g - 9*g**5 - 148*g + 2*g**2 + 74 + 297*g wrt g.\nAnswer: -180*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.81314603 rounded to three decimal places?\nAnswer: -3.813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*22 - (0 + 0). Let i be ((-176)\/(-132))\/((-2)\/(-99)). Factor -2*m - 2*m - s + 8*m**2 - 4*m**3 + i.\nAnswer: -4*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -321, -380, -439, -498?\n\"Answer: -59*j - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152 (base 12) to base 14.\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*k - 6, 5*a - 4*k - 17 = 13. Suppose -23693805 = a*j + 15846195. What is j rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:55 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3760*x = 3783*x - 138. What is the lowest common multiple of (-68)\/(-6) - (-8)\/12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*u = 2, -2*u + 38 = 5*y + 15. Solve -3*o + w = y, -7*w + 1 = -o - 3*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 2*o - 140. Let a = 36 - o. Let w = 147 + -19. Calculate the highest common factor of w and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 75601271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 156*j - 565. Calculate p(7).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1971 * -4\nAnswer: 7884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 322\/1814177 smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-35 - (-10 - -17 - 14))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q**3 - q)*(-3*q + 3*q + 7*q**2).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(30\/95)*-6 - -2. What is the highest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002711898 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:26 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 78?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(((-9)\/(-130))\/(-3)). Let t(c) = 2*c**2 + 40*c - 14240. Let f be t(-95). What is the highest common divisor of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/14 + 15209\/1589?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 37\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (1 - 0 - 2). Let u be ((-26)\/2)\/(z\/366). Suppose -5*g - u = 421. Round g to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*h + u - 6, -3*u + 2 = -2*h. Let q be 24\/(-4)*(-2)\/h. Suppose 2*b = 30 + q. Solve -2*c + 4*o = -b, 5*o + 1 = 5*c - 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 36*n - 67. Let u be v(-34). Put u, -3\/5, 0.06 in decreasing order.\nAnswer: u, 0.06, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + z + 5. Give j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.3 + 49.694. Let w = 0.53 + 0.03. Let r = w + c. Round r to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322 (base 4) in base 14?\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -5*r**3\/6 - 2*r**2 - 23*r + 12. Let z(d) = -5*d - 4. Determine -3*c(f) + 4*z(f).\nAnswer: -5*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 2 (c) 45 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-7))\/((-59)\/23128*-24).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5383883?\nAnswer: 17, 316699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 76340574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - b + 6. Suppose -3*d - 9 = 0, -z - 2*d - 6 = -3*z. Calculate the remainder when 16 is divided by n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*74\/76 - (-9 + 1521\/171).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t + 12 = 87*t + 25. Let i = 2 + 8. Let z = i + -2. Is z less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 603 - -76. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.07, 1\/4, 0.5, 65, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(172\/96)*1\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*l**3\/5 - 1094*l**2\/5 + 290*l + 8\/5 = 0. What is l?\nAnswer: -4, -1\/182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 50004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*w - 0*w. Suppose -3*f + 8 = f, -u - w*f = -17. Let p(s) = -s + 17. Calculate the lowest common multiple of p(u) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let g be 2\/(11\/(33\/(-6))). Let h(b) = 8*b. Calculate g*h(v) + 12*s(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.479866us to milliseconds.\nAnswer: 0.000479866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:47 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1442 (base 8) to base 10\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 381*d**3 - 8520*d**2 + 44100*d.\nAnswer: 3*d*(d - 10)**2*(d + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 8 + 17 + -23?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 554, 555, 556?\n\"Answer: p + 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m*r**2*v + 8*m*r**2 - 2*m*v + 3*m + r**2*v + 2*r*v - 3 wrt r?\nAnswer: 6*m*r*v + 16*m*r + 2*r*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -153?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73976 - 45262. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 54.6922 nanometers?\nAnswer: 0.0546922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10953 - 10955.3. What is the closest to 2\/5 in p, -20, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 5588, 18665, 44058, 85871, 148208?\nAnswer: 235173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4 = 3*j. Let g be 1 - -1 - (-1 - -3). Suppose g*u + 25 = 5*u. Sort 1, j, u in decreasing order.\nAnswer: u, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52189 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 2 = k, t + 11 = 3*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/(-28))\/((-1536)\/896). Let m(l) be the third derivative of 0*l**3 + 0 - g*l**4 + 9*l**2 - 1\/4*l**5 + 0*l. Factor m(q).\nAnswer: -5*q*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656 is divided by (-8)\/20*10 + (-1)\/((-6)\/924)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.87 - -1.76. Let j = i - 0.889999572. What is j rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 2)*(-1507 + 1507 - 1114*l - 2*l - l + 4*l + l + 3*l - 2*l + (4 - 6 + 3)*(-2*l + 1 - 1) + 0*l - 2*l + 3*l).\nAnswer: -5560*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 2. Let j(r) = 2*r**3 + 181*r**2 - 4. Give -3*i(b) - j(b).\nAnswer: b**3 - 181*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 4*m + 0*m + (-2 + 1 + 0)*(1 - 2*m - 1) - 1 - m + 1 + m + 2 - 2)*(-3 + 4 - 3 - 7 + 2 + 4 + (2 + 2 - 2)*(4 + 0 - 3)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 18*l**2 + 2*l + 35. Let c be j(-18). Let y be (c\/(-6))\/(-8 + (-182)\/(-21)). What is the nearest to 0 in -4, 15, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -16.9, -2\/37, -5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 56 + -4 + (-5 - -3) + -2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 974709 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(125) + -2)*6*-4)**2 - ((-2*sqrt(125))**2*3 - sqrt(125) - (sqrt(125) + 0)**2*-6)))*-4.\nAnswer: -288228 + 46060*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - -74a3943?\nAnswer: 74a3933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 5:06 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 56. Let l(m) be the first derivative of m**3\/3 + 3*m - 3. Let p(n) = -1. What is s*p(x) - l(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -519?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/16)*y*y*y*y*y*y*y*y)**(-7\/5)\/((y**(-3\/26)*y)\/(y\/y**(-8))) assuming y is positive.\nAnswer: y**(-3117\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 32519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 + 2*j + 1. Let v(c) = 9*c**2 + 2*c + 1. Calculate 2*k(d) - 3*v(d).\nAnswer: -11*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -0.5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 1 - 3. Solve 4*m - 3*m = -l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2 - 22) + 49992702\/2084016.\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3681 + 3686. Solve -45*i + 40*i + g = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 5 - 11)*(-2*t**2 + t**2 - t**2)*(-2 + t**2 + 2) in the form a*t**2 + d*t**4 + h*t + n + i*t**3 and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**5 + u**4 + 3*u**2 + 1. Let x(r) = 1273*r**5 - 6*r**4 - 18*r**2 + 388*r - 4. Let h(j) = 6*d(j) + x(j). Find the second derivative of h(f) wrt f.\nAnswer: 25340*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a meter in millimeters?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5923800 and 530.\nAnswer: 313961400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508763*d*g**3 + 5*d*g**2 + 15*d*g - g**2 + 2*g - 13 wrt g.\nAnswer: 3052578*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93645.77kg in nanograms?\nAnswer: 93645770000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*j + 212 = -159*j + 7492 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 4, -627?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-226 - (70 + -182)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 0.337, 4\/9, -476, 5\/2?\nAnswer: 0.337","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**4 - 5608306*k - 5705012.\nAnswer: 4*k**3 - 5608306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.43434ml to litres.\nAnswer: 0.03443434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 152795304 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 14.98. Let u = y + 11. Let t = u - -4.1. What is the second biggest value in 1, t, -1\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5)*s)**(1\/49)*((s*s*s\/(s**5\/s)*s)\/s)\/((s\/s**(-3\/10))\/s))\/((s**(1\/7))**(7\/5))**(13\/3) assuming s is positive.\nAnswer: s**(-3167\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 8642 = 4*j, -3*p = -5*j + 541 - 4877. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.1 + 20. Let n be (-6)\/(-15) + 16\/(-90). Let y = 0.3 - 0.5. Which is the second biggest value? (a) n (b) y (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 1. Let b(v) = -3*v - 2. Determine 2*b(f) + 3*s(f).\nAnswer: 6*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r*r\/r**1)\/r*r*r)\/r*r**(4\/3)*r**(-2\/7)*r*r**(-5\/6))**(-12\/5) assuming r is positive.\nAnswer: r**(-354\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.1 (c) -4\/43 (d) 3\/2 (e) 5 (f) 7.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.5, 10, -2 in increasing order.\nAnswer: -5.5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105055024603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 28 = -3*n. Let g be (-3)\/(-4)*(-8)\/(-2). Put n, 4, g in ascending order.\nAnswer: n, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/2099 (b) -96 (c) 4 (d) 0.07 (e) -0.5 (f) 2 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 70258339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26750 and 12746910.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/2))**12)**11)**(-4\/21) assuming i is positive.\nAnswer: i**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 9. Let g be (-1)\/i + (-2)\/8. Solve g = -4*l - l - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243\/9*28\/((-308)\/(-11)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.11, 0.3, -123?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, 2, 1\/1717, -4, 4?\nAnswer: 1\/1717","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2 - 4*q - 4. Let x(v) be the second derivative of 11*v**4\/12 - 4*v**3\/3 - 7*v**2\/2 - 30*v. Let j(r) = -9*g(r) + 4*x(r). Calculate j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1080201.4 to the nearest one thousand.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from dddfdnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-3 - 10 - (-25 - -14) - -56) - 5.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738 is divided by 98.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13233010300 (base 4) in base 7?\nAnswer: -23144011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1285\/868 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -62, -96, -130, -164?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/12 + 10*i**3\/9 - 23*i**2\/6 + 4*i + 1133. Suppose t(r) = 0. What is r?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 + 149124*s**3 + s**2 - 149124*s = 0?\nAnswer: -1, 0, 1, 149124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1611173 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -55*t - 4 + 1 + 63*t. Let u be s(1). Suppose b - 795 = -5*n - 3*b, 795 = u*n + 3*b. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 40133268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 + -39. Suppose k = -r + 1, 2*w = -2*w + 5*r + 3. Let v be (-2)\/2*(-28 + w). What is the greatest common factor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**2. Let q(n) = 3*n - 9. What is q(a(s))?\nAnswer: -39*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q + 1091. Is 25 a factor of h(-64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(170) - sqrt(170))*6)\/(4*-2*sqrt(490)).\nAnswer: -9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*l + 41 = 2*l, 4*l = -2*v + 14. Let q(z) = 5*z**3 - 4*z**2 + 2*z - 1. Let i be q(3). What is the highest common factor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 242*w + 244.\nAnswer: -2*(w - 1)*(w + 122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/(-10))\/(8\/(-20)). Calculate the remainder when ((-2)\/3 - -1)\/(c\/1416) is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 - 1.8. Let w = 33 - 37.625. Let t = p + w. Round t to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 17 = -3. Calculate the remainder when w is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.89 from -0.474.\nAnswer: -7.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence grrg when four letters picked without replacement from ggrrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 26. Let w = 1 - -2. Suppose 45 = w*p - 36. Calculate the remainder when p is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 139 (b) 4\/9 (c) 5 (d) -24 (e) -2 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 22526 - 29748 - 46520 = 0. Calculate the greatest common divisor of 159 and z.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254b0b (base 14) to base 13.\nAnswer: -35b017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k*x**4 - 129*k*x**3 + 4*k*x**2 + k - x**4 + 15*x**2 wrt x.\nAnswer: 48*k*x - 774*k - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111896 + 447591\/4. Factor -4*r + 1 + a*r**2.\nAnswer: (r - 2)*(7*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m\/(m*m**(-6\/11)\/m))))\/m)\/m)**(-23\/5)\/((m**(-40)\/m*m*m)\/m**(-2\/33)) assuming m is positive.\nAnswer: m**(7529\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.33, -3, 43?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.169 or 11.53?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84938, -169881, -254824, -339767, -424710?\nAnswer: -509653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 38. Suppose 3*u = -3*f + 8 + x, 0 = -5*f + 5*u - 15. Solve 0*k**2 - 4*k**2 + 16 - f*k**3 + 8*k + 0 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092200?\nAnswer: 2, 3, 5, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/653 (b) -3\/5 (c) -616 (d) -36 (e) -3\/7 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 146042 - 2*s - 146042 - 484*s**2 + (5 - 5 + 2*s)*(-s + s - s).\nAnswer: -486*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1794824?\nAnswer: 2, 157, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/4 - 181*g**2\/2 + 1469*g\/4 + 915\/2 = 0.\nAnswer: -366, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 9. Let j be l(-3). What is the second derivative of -17*a**j + 5 - 9*a**3 + 2 - 26*a**3 - 5*a wrt a?\nAnswer: -312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 != -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmnumjancnc. Give prob of sequence jccn.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 9262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2312 or 0.07?\nAnswer: 2312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w + 298*w**2 + 375 + 4*w - 300*w**2 + 3*w + 2*w**3 - 377 as c + r*w**3 + z*w + m*w**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8bb8 (base 13) in base 16?\nAnswer: -4c82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -22. Suppose 304 = 6*c - z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178814.2g to tonnes.\nAnswer: 0.1788142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 1\/3, 5.7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 3*(0 + sqrt(304)) + 5 + sqrt(304)*-1 + sqrt(304) + 2 + -5 + -4)**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -471a390?\nAnswer: 471a388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 4. Determine m(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2906.218 - 2901. Let r = k + -0.018. Let q = -5.19999941 + r. Round q to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -w, 0 = 4*w + 4*z - 2 - 34. Suppose -31 = -3*s - w. Suppose -3*d = -s - 3. Solve d = -5*v + 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18969.28779 to the nearest one hundred.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -110*o + 7. Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -401 in -438\/11, -0.3, 1?\nAnswer: -438\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 plus 327136262806?\nAnswer: 327136262708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:31 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 - -1583\nAnswer: 1583.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20021 + -2022222?\nAnswer: -2120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 215581*i**3 - 768698?\nAnswer: 646743*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -19.4, -5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 19 = 5*b. Let u(l) = l**2 - 3*l + 3. Let n be u(3). Put -3, b, n in decreasing order.\nAnswer: b, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243.95825 rounded to 1 decimal place?\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626*v**2 + 13 - 326*v**2 + 966*v**3 + 42*v**2 + 9 - 21 wrt v?\nAnswer: 5796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4379\/3 - -4198\/3. Let l = o - -60. What is the second biggest value in l, -1\/8, -0.4, 0?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 45\/(-10) - (-9)\/6 - -39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v = -4. Let h(k) = -k + 5. Suppose 2*r = 5*r. Let s be h(r). Solve 0 = c + s*p - 3, -c = 3*p - v*p + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 + 8 = n, 5*k + 6 = -3*n. Let s be (-7 - (-16)\/4) + 9. What is the greatest common factor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20\/40)\/(1*(-3)\/(-92958)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -205d - b48f?\nAnswer: -d4ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 9:55 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k - 9. What is j(-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661199 is divided by 43.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 215 and -1\/29 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14660)\/(-1477728))\/((-10)\/(-32))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o + 27 = 3*g, -o - 49 = -4*g. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/13 + 20*l**3\/13 + 32*l**2\/13 = 0. What is l?\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-7)\/7)\/(2\/(-4)). Suppose -3*i = -l + 11, p*i - 21 = -0*l - 5*l. Suppose -l*b + 21 = -2*b. What is the greatest common factor of b and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 8035, 28081, 67367, 132307, 229315?\nAnswer: 364805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 6:39 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 192*j - 37. Let n be o(13). Is n\/(1\/3 - (-46)\/69) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225960 by -269.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 3. Let u be b(-5). Suppose j - 14 = 3*c, u*c = 3*j + j - 96. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a decade in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -5)*(-2)\/2. Solve 4*u + 2*j = 10 - 0, j + g = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -242*a + 17906. Let f be n(74). Let y(v) = -2*v + 0*v + 8 - 9 + 5*v**2. Give y(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2171727 to the power of 1\/2, to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-2) + (-2121)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1728) + sqrt(1728)*-2*-4 - sqrt(1728))*-4)\/(1*(sqrt(24)*-3 + 3*(sqrt(6) - (sqrt(18)\/sqrt(3) + sqrt(6))))).\nAnswer: 512*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1820 = -0*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579 (base 12) to base 8.\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*s - 4*y = 115*s - 226, 3*s - 3*y = 573. What is the greatest common divisor of s and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6290 + -2119. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 0*g**2 + 0*g**4 + 0*g - 1\/3*g**3 + 4\/5*g**5 - 7. What is the third derivative of i(w) wrt w?\nAnswer: 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.685? (a) -1\/3 (b) 15 (c) -40 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1302682768*j**2*x**3 + j*x**3 - 88*j*x**2 + 10*j*x - 147*j - 2 wrt j?\nAnswer: 2605365536*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 32319275240734*r**2 - 32319275240734*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77897, -155775, -233665, -311573, -389505, -467467?\n\"Answer: -b**3 - 77871*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 170. Suppose -9*u - 77 = -4*t - 6*u, -4*t + 5*u + 75 = 0. What is the units digit of t\/(-12)*-3 + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -10*k + 812. What is the remainder when 172 is divided by k?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 16 = 3*t. Let s be (1\/(-3))\/((-2)\/18). Suppose w = 3*o - 7, 0 = o + s*w - 3 + 4. Solve o = -t*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160273 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - g**2 - 2*g**5 + ((2*g**2 + 2*g**3 - 2*g**2)*(2 - 1 + 1) - 1 - 2*g**3 + 1 - 4*g**3 - 4*g**3 + 3*g**3)*(20*g**2 - 5*g**2 - 4*g**2).\nAnswer: -35*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20 + (-180)\/18)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 78*q + 63*q - 141*q. Let k(u) = 218*u**2. What is t(k(m))?\nAnswer: 190096*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 1 + -3 - -1) + (254 - 267)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(208) + sqrt(13) + (sqrt(104)*2 + sqrt(104) + sqrt(104))\/sqrt(8) + -2*(sqrt(13) - ((2 + sqrt(13))*-4 + sqrt(13)))**2.\nAnswer: -541 - 119*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y = -51*y - 55 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**3 - 1 + 0*j**2 - 1\/3*j**6 + 0*j**5 + 0*j + 0*j**4. Find the third derivative of d(q) wrt q.\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.24? (a) 5.3 (b) 5 (c) 1 (d) -1\/174\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + 12 = 0. Suppose -o*d - 2013 = -5958. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 1 + 1 + u**2 - 2*u + 3 - 1.\nAnswer: (u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 28)*(2*x - 2*x - 4*x) as i + j*x and give j.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + -5 - (1 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2496\/5)\/26*-1*40\/(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -11 - (3 - 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-780)\/26 - -36)*(240\/81 + -3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -3, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = 4*h - 7*l - 10, 3*h + 9*l + 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 4*r**2 + 12*r - 4. Let k(i) = -3*i**3 - 17*i**2 + 8*i + 91. Let z be k(-5). Let v(h) = h**3 - h**2 + h - 1. Determine z*w(t) - 4*v(t).\nAnswer: -2*t**3 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of v**3\/3 + 3*v**2\/2 - v - 3. What is the units digit of t(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from yasyzyyesqsyaazyzs?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 44.73. Let s = w + -0.13. Which is the second smallest value? (a) s (b) 3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:12 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o + 1. Let h be j(-7). Suppose c = -c + h. Is 12 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 1661?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806\/4*((-5355)\/147 + 37) is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 7. Suppose 5*d + 4*g = -0*d - 911, g + 4 = 0. Let s = d - -191. What is the smallest common multiple of m and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at least as big as 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 f when three letters picked without replacement from {l: 2, z: 3, b: 1, p: 1, f: 1, i: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*g - 3. Let j(q) = q**3 - 11*q**2 + q - 15. Let w be j(11). Let y = 9 + w. Which is the second biggest value? (a) y (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzzrwjzgzzu. Give prob of sequence uz.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53739334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - d**3 + 0*d**3 - 2*d**3 + (37*d + 316 - 316)*(-11*d + 11*d - 13*d**2) in the form s*d + o + y*d**3 + r*d**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15823, -15827, -15833, -15841?\n\"Answer: -c**2 - c - 15821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*w + v - 41, -w - 7 = -3*v. Let a = 14 - w. Let i(s) = -s**2 + 7*s - 4. What is the units digit of i(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.102*-4\nAnswer: -36.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - k - 4 + (1 - 1 + k)*(4 - 3 - 2) + 6*k - 5*k + 2*k + (0 - 1 + 3)*(-2*k - 4*k + 4*k) - 6 - 10*k + 6 - 2 + 2*k + 2.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857191865.\nAnswer: 3, 5, 31, 137, 29153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*c*n + 135*c + 330*n - 5 wrt c?\nAnswer: -11*n + 135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d**(1\/2)*d)\/d)\/(d*(d\/(d\/(d**(-6)\/d)))\/d)*(d**(-2\/9)\/d*d*d)**40 assuming d is positive.\nAnswer: d**(713\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + sqrt(2)) - sqrt(2) - 1*sqrt(32))**2*5.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-2*sqrt(1216)*6 - sqrt(1216)))**2*-3.\nAnswer: -61651200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 43 = 5. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/297*(12 + -23))\/((-4)\/60)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147373613 to the power of 1\/2, to the nearest integer?\nAnswer: 33873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 - 110945.\nAnswer: -110975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5354*c**5\/3 + 149914*c**4\/3 + 371192*c**3 - 600064*c**2\/3 - 4368640*c\/3 + 544 = 0. Calculate c.\nAnswer: -6, -2, 1\/2677, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(((-17160)\/(-800))\/39).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 40 + 136 = 0. Let m be w\/(-30)*(-5)\/(-2). Solve -6*h = -h + 5*y - 10, -m*h - 3*y = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -3, 1\/3 in ascending order.\nAnswer: -5, -3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*5 + 2.\nAnswer: 2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -453 - -481. What is the remainder when 293 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28224 divided by -168\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*9*513\/4131*17.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen tenths of a millennium?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -465, -854, -1209, -1530, -1817, -2070?\n\"Answer: 17*m**2 - 474*m + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-20))\/(117\/156). What is the second biggest value in -1, o, -5\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61653155, -61653156, -61653157?\nAnswer: -61653158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0014488 - 90.9891512. Let k = 0.1623 - 91.1623. Let r = k - q. What is r rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m. Let v(w) be the second derivative of 3*w**3 - w - w + 6*w. Determine u(v(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5664.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10784 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20958)\/(-18))\/((-6)\/(-36)). Is (5 - 4)\/(2\/y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3002 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1238 = -261*x - 389 - 200 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(1377) - (-3 + sqrt(1377))**2)) + 0.\nAnswer: -62*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1158 (base 12) in base 8?\nAnswer: -3624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 3*b + 2. Let c(v) = v - 4. Suppose -3*u = -2*u + 5, 0 = -4*w + u + 5. Let d be c(w). Let s be (d\/(-6))\/(6\/18). What is i(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2066 - -2068. Suppose 4*q - 39 = -3. Let v(g) = g**3 - 5*g + 2. Let w(l) = -4*l**3 - l**2 + 20*l - 9. What is k*w(f) + q*v(f)?\nAnswer: f**3 - 2*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7859077, -7859075, -7859073, -7859071, -7859069?\nAnswer: -7859067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-24) + 1 - (-3)\/12. Suppose -12*c = j*c + 45. What is the smallest value in -1, -1\/2, -2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -701, -2840, -6353, -11198, -17333, -24716, -33305?\nAnswer: -43058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12*(-34 + -42*506\/(-624))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*z - z - 10, 11 = 2*q + 5*z. Suppose 0*f - 489 = -3*f. Calculate the remainder when f is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 1, t: 11, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**4 + s**3 - s**2 - s. Let w(c) be the third derivative of 4*c**7\/105 - 7*c**6\/120 - c**4\/12 + c**2. Let b(z) = 6*u(z) - 3*w(z). Solve b(h) = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -36 from 26890723.\nAnswer: 26890759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 - -1.669. Let r = 0.131000636 + t. Round r to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 549?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 111977669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 + (-4 - 3 + 6)*(2 - 2 - 2) - 120 + 138 + 279)*(0*y - 2 - 3*y + y).\nAnswer: -594*y - 594","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 406 = 2*z - 0*u, -5*z - 1090 = 5*u. Let x = z - -1062\/5. Which is the third biggest value? (a) x (b) 7 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-4 + (2 - 2))) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -19*q + 151. What is the remainder when 67 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*x - 4)*(6*x**3 + 0*x**3 - 3*x**3)*(-3200 + 1596 + 4563) + 0*x**2 + x**4 + 0*x**2.\nAnswer: -17753*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*((-51)\/(-21))\/1 and -11\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 11895.\nAnswer: 11900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40744*c**6 - 4*c**2 - 10019*c wrt c.\nAnswer: -4889280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 12*w = -6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 6*i - 1. Let c(b) = 4*b**2 + 54*b - 9. Let r(f) = 18*a(f) - 2*c(f). Let v(k) = 2*k**2 + 202. Determine r(v(g)).\nAnswer: -32*g**4 - 6464*g**2 - 326432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 3*a**2 - 4*a - 3. Let g be b(-3). Suppose g*s - 8*s = 0. Suppose -15*t + 13*t + 20 = s. What is the lowest common multiple of 12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1726*606\/180 - (-10)\/75?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (1 - 1)) + (-1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7946 and 5444.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-1*(1350\/(-945))\/((-8)\/(-14)))?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 327\/10 (c) 26\/9 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 205*q - 617. What is n(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/((-2)\/(-12)). Let j(v) = u*v + 0*v + 3*v. Let q(a) be the first derivative of -2*a**3\/3 - 23. Calculate q(j(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22068 by -5.\nAnswer: -22068\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(660)*3)\/sqrt(11) - sqrt(60))\/(sqrt(300)*4) - (-1*(sqrt(500) + -2*sqrt(500)) + -2*(sqrt(500) + sqrt(500) + 3))**2.\nAnswer: -4536 - 3599*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/11 (b) 0.1 (c) 1873 (d) -36 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**2 + p - 5. Let g(o) = 4*o**2 - 1 - 2*o**2 - 4*o**2 + o**2. Let a(x) = -4*g(x) + q(x). Let d(i) be the first derivative of a(i). What is d(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 20. Let z = -5.5 - a. Put -2\/7, z, 3 in descending order.\nAnswer: 3, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2000 and 21920.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - 114*s - 83. Is 42 a factor of t(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1054325150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328*c + 223*c + 525 = 0. Sort 28, c, -5, 6, -4 in decreasing order.\nAnswer: 28, 6, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0957 + -1.9043. What is the smallest value in -1\/123, 2, 1\/3, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 496114.\nAnswer: 2, 248057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:47 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85618394 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132994?\nAnswer: 2, 29, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31\/8 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97242 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1762439*u**5*v**2 - 2*u**3*v**3 - 5*u**2*v**2 - 30*u**2*v + u**2 - 41*v**3 - 5*v wrt u.\nAnswer: -105746340*u**2*v**2 - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -60\/23 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 208\/(-520) - (-96)\/(-10) - 18\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 29 = 4*k - g, 2*k + 19 = -3*g. Suppose -3*y - 4 = -2*d + 2, -5*d - 6 = 3*y. Let m = d - k. Solve b - 2*o - 2 = -o, -15 = m*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 + 1005*f - 1000 = 0. Calculate f.\nAnswer: 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/9 + 694*q\/9 + 464\/3.\nAnswer: -(q - 696)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 827?\nAnswer: 82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*m - 3 = -82*m, -2*m + 5 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 24 + 9 = 3*b, 4*t = 4*b + 20. Let n(z) = 11*z**3 + 7*z + 6. Let g be n(t). What is the common denominator of g\/(-16)*1\/3 and 113\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 10. Let q(f) = f**3 + 3*f + 3*f - 3 + 3*f + 3*f - 7*f**2. Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:23 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 4\/(-8)*-6. Suppose h*m - 2*m - 66 = 0. Let o = -12 + m. Calculate the lowest common multiple of 6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19529, 39046, 58563, 78080?\n\"Answer: 19517*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*n + 0*n - 3*n)*(-4 + 3 + 7) + 0*n - 5*n + 3*n)*(14*n + 59 - 59).\nAnswer: 140*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11430 and 308610.\nAnswer: 308610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + 39. Suppose 8*z + 70 = -o. Let r be z\/(2 + 0)*(-399)\/228. Solve -f - 5*x + 18 = -3*f, 5*f + 3*x + r = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 - 2.4. Which is the nearest to 0? (a) o (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2270 and 85\/193404.\nAnswer: 967020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 6083?\nAnswer: 54747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 0.1, 2\/19, 0.5, 25, -31?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 0.2, -0.025, 259.621?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-10)*(-10)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**7\/1680 + v**6\/320 - v**4\/48 + 16*v**2. Factor a(p).\nAnswer: p*(p - 1)*(p + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 22*t + 3*t**2 + 10*t)*(t + 1 - 1) + ((-2*t**2 - 3 + 3)*(t + 0*t + t) - 49*t**2 - 18*t**3 + 49*t**2)*(2 + 3 + 0).\nAnswer: -107*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*i + 4*f, 0 = -36*i + 32*i + 2*f - 18. What is the nearest to i in 0.1, -2, 3, 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730961.\nAnswer: 7, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -777 - -772.625. Round x to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 74*t**2 - 417*t\/4 - 153\/4.\nAnswer: -(t + 17)*(4*t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxs when four letters picked without replacement from {x: 5, s: 14}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -23.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-3) + 3 + -4. Let f = 0.1 + -0.1. Let y = 32676.5 + -32677. Which is the closest to v? (a) f (b) y (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 800948?\nAnswer: 2, 200237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(-3 + sqrt(6)\/(sqrt(18)\/(-1*sqrt(6)))).\nAnswer: -8 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 - 2*h**2 + 6*h. Let f(a) = -a**3 - a. Determine -6*f(k) - n(k).\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**4 - 9*m**3 + 5*m**2 + 3*m - 4. Let q(p) = 4*p**4 - 17*p**3 + 9*p**2 + 7*p - 8. Let t(s) = 10*n(s) - 6*q(s). Factor t(x).\nAnswer: -4*(x - 2)*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27904 rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 0 - 2 + 2 - 4*d**2. Let b(g) = -g. Determine b(s(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 4 + (-7 - -1). Suppose -x*t = -28 - 20. Suppose 0 = 2*l - l - t. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(((t*t**(-1\/11)\/t)\/t)\/t)\/t*t*t*t*t*t**(-7)*((t\/(t*(t*t**(-2\/7))\/t))\/t)\/t*t**(-6) assuming t is positive.\nAnswer: t**(-986\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177691 = 35*p + 178566 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m**2 - 7*m - 9. Let k be u(-5). Sort k, 0, -4 in ascending order.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314712 divided by -78678.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -32, -10, 28, 88, 176, 298?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 times -0.009?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120201230302 - -11?\nAnswer: -120201230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 2*d**2 - 3*d**2)*(-15 + 30 - 6 - d**3).\nAnswer: -2*d**5 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 20*c + 8*c)*(-8 + 0 - 2)*(3 + 3 - 5).\nAnswer: 50*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 47. Suppose -4*s + 5 = -o. Let t be 1 - (-1 - s) - 0\/2. What is the second biggest value in 3\/7, 3, t, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1. Let w = -2\/7 - -19\/42. Let m(d) be the second derivative of 0*d**2 - w*d**3 + 0 + 2*d. Calculate m(r) + n(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 58280, 232703, 523270, 929981, 1452836, 2091835, 2846978?\n\"Answer: 58072*f**2 + 207*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 311 + -131222330233?\nAnswer: -131222323322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 11. What is the nearest to i in 2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*r + 176 = 1406 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394813.77 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(605)*-1 + sqrt(605) - (sqrt(605) - (1 + sqrt(605) + -2)) - (sqrt(605) - (-1 + (sqrt(605) + 2*sqrt(605))**2) - (sqrt(605) + -2 + -2)**2)).\nAnswer: -396*sqrt(5) + 24272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15529 - 0.85529. Let u = 5 - 8. What is the third smallest value in k, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by 27970?\nAnswer: 22\/13985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 171713200 to the nearest one hundred thousand.\nAnswer: 171700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36511774 is divided by 588899.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1 = -2*k + 9, 3*n = 12. Let l be (0 - -2)*(-54)\/(-180). Suppose -2*x - 3 - 1 = 0. Sort l, x, k.\nAnswer: k, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, h: 7}. Give prob of picking 3 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1)\/2*0. Solve 4*h = o*h - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 258\/(-30) - -8 - 62\/(-70). What is the nearest to 0.1 in -8, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 11*q**2 - 2*q**3 - 2 - 5*q**2 to the form y + s*q**2 + j*q + x*q**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 - 2*z + 4. Let v be t(0). Solve v*b + 13 = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 6*n**2 + 13*n + 17. List the prime factors of t(-11).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20 - 1 - (567 - 590). Let l = -1 - -5. Solve -3*t - 23 = l*c, 2*t - q*c = 4*t + 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43365 (base 13) in base 11?\nAnswer: -83257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8744.518 grams?\nAnswer: 8744518000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-493*d - 1029*d + 780*d - 1483*d).\nAnswer: 4450*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -28282496 less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 19. Let g be h(14). Solve 4*o + g = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/24 + 5*m**3\/3 - 5*m**2. What is the units digit of b(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10934 + 11001. Calculate the remainder when 143 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5508\/(-238))\/27)\/(28\/(-3038)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 968 * 882.3\nAnswer: 854066.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**7\/210 - 9*s**6\/40 - s**5\/15 - s**4\/6 + 7*s**3 + 449*s**2 - 1. What is the third derivative of z(q) wrt q?\nAnswer: 24*q - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 - 1 - 3*p**2 - 1 + p in the form u + s*p**2 + l*p and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 + 6*f + 4. Let n be p(-6). What is the third derivative of -4*i**2 - i**n + 16*i**2 - 5*i**4 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -24*o**5 + 155*o**4\/12 + o**3\/2 - 444*o. Find the third derivative of i(j) wrt j.\nAnswer: -2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 294246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Let t(o) = o - o + p*o**2. Let f(l) = 5*l. Let r(k) = 5*k. Let x(g) = 5*f(g) - 6*r(g). Calculate t(x(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*p = -47*p - 2 + 19. Suppose m + 12 = 4*u, 4*m + 4*u - 6 = 6. Sort m, 10, p in descending order.\nAnswer: 10, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.598631 months?\nAnswer: 0.013321925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, 6 in descending order.\nAnswer: 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + -64 + -45 + 122.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1, 0.4, -4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/43 (b) -0.1 (c) -2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 6 - (17 - (20 + -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75.2 - -75.15. What is the closest to -1 in 0.5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-366)\/122*(-2)\/(-2*1))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 63744*d**2 - 395885568*d - 580039409664 = 0. What is d?\nAnswer: -9568, -2112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -25, -44, -73?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyhhewwhhejrhhw. Give prob of sequence jy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20848842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*v + 13, -v = 2*g - 7 - 4. Suppose 3*t + 3*a = -18, -t - g*a = 14 - 0. Is 28 a factor of (466\/10)\/(t\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*v + 9, 5*v - 35 = 3*q. Let t = q + 22. Let s = t - 2. Solve -5*z + s = -3*i - 17, -2*i = -5*z + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414 and 766958?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54375731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 58*i = -7600. Let f = i + 994. List the prime factors of f.\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -150*k - 2361. Give i(-17).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40302241 (base 5) in base 8?\nAnswer: -1165224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -19, -3, -28, 0, -5 in increasing order.\nAnswer: -28, -19, -17, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5363 and 519?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7)*(o\/(o\/o**(7\/5)))\/o)**(-13)*(o*(o**(-5\/2)\/o)\/o)\/o**(1\/3)*(o**(-1))**(-42) assuming o is positive.\nAnswer: o**(8093\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*c + 6 = -23*s + 69*c, -2*c - 4 = -4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -4*w - 4. Let m = w - -4. Factor m - 2\/3*n**2 + 4\/3*n.\nAnswer: -2*n*(n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -10*d - 4. Suppose d*c + 58 = 4*g + 3*c, 0 = -2*g + 3*c + 30. Sort 5, g, -5.\nAnswer: -5, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/427 and 88\/37863.\nAnswer: 2309643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*q, 3*m + q = -2*q. Sort m, 3, -3 in descending order.\nAnswer: 3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 197862532 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 8*y + 95 + 5*y - 16*y.\nAnswer: 2*y + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46, -95, -154, -229, -326, -451, -610, -809?\n\"Answer: -o**3 + o**2 - 45*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 3*q - q)*(79*q**3 - 194*q**3 - 226*q**3) to the form f + j*q + b*q**2 + c*q**4 + g*q**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4941 and 2163438127.\nAnswer: 2163443068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u + 21*u + 18*u - 2*u.\nAnswer: 55*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 159*l**3 + 2*l**2 + 43*l - 66. List the prime factors of t(6).\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -0.024, 4, -1, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 116496, 4.\nAnswer: -3, 4, 116496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97927.\nAnswer: 97927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 1301209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1918 or 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43052?\nAnswer: 2, 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*u + 356*u - 158*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -4*r, -3*h = -r - 7 - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 - 646*o**2\/7 - 57040*o\/7 - 1529912\/7.\nAnswer: -2*(o + 62)**2*(o + 199)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12152.3 + 12152. What is the nearest to 0.1 in 3\/5, h, -20?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(153) + sqrt(153) + 0 - (1*-2*sqrt(153) + sqrt(153)))**2.\nAnswer: -36*sqrt(17) + 1381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -46 - 89. Suppose 5*p - 58 = 4*q, -p - 6 = -4*p. Let c = u + q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -2, -1, -4 in decreasing order.\nAnswer: 92, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 68 = 303*z - 307*z, d = 4*z + 28. Solve 35 + 13 = d*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 512533442 - 10?\nAnswer: 512533432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -9, -4, -1969 in increasing order.\nAnswer: -1969, -9, -4, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c227c (base 13) to base 6.\nAnswer: -35211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973123 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*x = 6, 5*f - 4*x + x = -6. Suppose 0 = -f*b + b - 24. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -484 - -1014. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 79*m**2 + m + 1. What is the units digit of i(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 1375662708 - 1375662708.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21020524, -21020520, -21020516?\n\"Answer: 4*d - 21020528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*x - 95 = 40, 2*p - 5*x + 90 = 0. Let k be (-10 + 1)*60\/p. Determine q so that -17*q + 3*q**2 + 44*q + 11 + 6*q**2 - k*q**3 - 5 = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 - 9. Let n be x(-5). Let p(o) = 2*o + 20. Let a be p(n). Suppose -3*k = 3*z + a*k - 471, -157 = -z + k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(190)*2)\/(-2*sqrt(10)*-6)*-1)**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138774.33858 rounded to the nearest 100?\nAnswer: 138800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 32*d**2 - 32*d + 29. Let k be u(-33). Let f be ((-320)\/42)\/k + (-134)\/(-1407). Let -f + 2\/9*s**2 - 16\/9*s = 0. Calculate s.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + (-5 + 1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 8. Suppose 48*c**3 - 87*c**j - 2 + 27*c + 159*c**2 + 5 = 0. Calculate c.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 42. Solve 2*o - p = -1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 0*z - 2\/5*z**5 - z**2 + 1\/2*z**4 + 2\/3*z**3 + 1. Factor m(p).\nAnswer: -2*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*t + 212, -5*b - 4*t + 252 = -7*t. Calculate the smallest common multiple of b and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3597792066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (39 + -17 - -11) + -51 + 29\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 4:04 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104588 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0*q*q*q)**11\/(((q*(q\/(q**(-3\/4)\/q))\/q)\/q)\/((q*q**(-1\/11)*q)\/q)))\/((q*q**(1\/7))\/(q\/(q*q*q**10)))**13 assuming q is positive.\nAnswer: q**(-35327\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*b**3 - 6*b + 13*b**3 - 6*b - 27*b**3 wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-6)*30 + (-36)\/7\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 10*w - 20 = 0. Let q(z) = -z**2 + 12*z + 2. Let j be q(w). Solve -3*f = -j + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + z = -3*c + 11, 0 = 4*c + 3*z - 13. Suppose -c*x + 6*x + 8 = 0. Let m = -8 + 7. Are x and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(4400\/48))\/(8\/(-4))\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -7, -1, 5, 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-578)\/(-374)*(-2394)\/(-1071)\nAnswer: 38\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -426 - 211?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 6*r**2. Let m be t(4). Let o(w) = w**2 - 5*w - 6. Let l be o(7). Calculate the greatest common divisor of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + u + 25001 + 5450 = 0, -5*u = 2*l - 12229. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 30*w**2 - 971*w + 90. List the prime factors of k(-29).\nAnswer: 53479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Suppose 5*q + 0*m + m = 12, 4*q + 3 = -h*m. Suppose -4*x - 11 = -q. Which is the second smallest value? (a) x (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.849046ml?\nAnswer: 0.005849046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and -41\/15888?\nAnswer: 15888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10)\/(-1120)*-7?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 2\/3*7\/(-21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1562, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbtm when four letters picked without replacement from {m: 3, b: 5, k: 3, t: 2, p: 5}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001100011111001 (base 2) to base 12.\nAnswer: 67675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/10 - 59*r**4\/12 - 85*r**3\/6 + 166*r. What is the remainder when 135 is divided by d(-28)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -669, -1337, -2005, -2673?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 15*c**2 + 60*c + 12. What is i(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11111 + -21?\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - a = 93, 4*a = -5*y + 252. Let f be 1\/((22\/y)\/11). Let d = f + -21. Solve -d*h = -6*h + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -16*p + 50. Let z(x) = x**3 - 9*x**2 - 9*x - 8. Let n be z(10). Suppose n*c = c + 2. Solve -v = y + p, y = -v - c*v - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3713 - 1522 - 624)*(-w**2 - w + w)*(3 - 2 + 3) to the form f*w**2 + i + t*w and give f.\nAnswer: 23436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -533?\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 686826*d**2*v**6 + 16*d**2*v**2 - 15486*v wrt v?\nAnswer: 82419120*d**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 0 + 0*d**2 + 0*d - 3\/2*d**4 + 3\/2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3 - 26*h**2 - 10*h + 25*h**2 - 7. Calculate p(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40173554 to the nearest integer?\nAnswer: 6338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-30)*-15 + -6. Suppose -u - 6 = u. Is 113 - c - -1 - (u - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**3 - 45*r = 0 for r.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o**3 - o**2 + 12*o + 16. Calculate the smallest common multiple of i(-2) and 24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.623157 rounded to one decimal place?\nAnswer: -107.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*z + 10, 10 = 4*x + z. Suppose 306 - 14 = x*m. What are the prime factors of m?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52 - (-18 - (-23 + 28 - (-6 + -7 + 24))).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 19555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 7. What is the lowest common multiple of (27\/15)\/3*(-3 + 8) and g(4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 108*n**2 + 29*n - 72*n - 61*n as p*n**2 + r*n + t and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-747)\/36 + -2)\/(((-8)\/(-10))\/((-432)\/(-135)))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 5:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3))**(2\/5) assuming p is positive.\nAnswer: p**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1)\/(w*w**(-1\/2)*w)*(w\/w**2)\/(w*(w**(-1)*w)\/w) assuming w is positive.\nAnswer: 1\/sqrt(w)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n - 5. Let t(f) = -127*f + 20. Let s(x) = 4*r(x) + t(x). Let p(q) = 2*q**2. Give p(s(u)).\nAnswer: 28322*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyk when three letters picked without replacement from {y: 7, k: 4}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*b - 49, 3*b + l = -73 + 85 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0720598 grams?\nAnswer: 72.0598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9 + 2\/6. What is the common denominator of (-34)\/((-87)\/(4 - t)) and (7*(-5)\/(-28) - 2)\/(45\/6)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5404 = -4*m, m + 3*t - 1351 = -0*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579.26034 rounded to one decimal place?\nAnswer: 3579.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -558.9 - -558.6. What is the nearest to v in 4, 23, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 4, -3 in ascending order.\nAnswer: -4, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*a + 2 - 9, 5*q = 5*a + 10. Let t = a + -8. Let y(r) = r**3 + 8*r**2 + 5*r - 5. What is the units digit of y(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101010 - 0?\nAnswer: -100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.2 + 17.1. Let n = -0.9 + -6.1. Let s = w + n. Which is the nearest to 0.1? (a) 1\/8 (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x. Let l(k) = 7*k. Let s = 326 + -319. Determine s*c(r) - 6*l(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509 + 224. Calculate the common denominator of -32\/21 and 155\/a*5 + 7 + -5.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 15 = 0. Suppose -6*y + y = 0. Let l = y + 1. Sort r, 3, l in decreasing order.\nAnswer: r, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 7:37 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(76) + (sqrt(19)*-1 + 4)**2.\nAnswer: -6*sqrt(19) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:44 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*p + 24 = 0, 7*c - 5*p = 5*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a - 3. Let w(l) = 9*l + 5. Let h(p) = 3*w(p) + 5*x(p). Let k be 0\/1 - (-1 + -5). Let u(g) = -11*g**2 + 20*g**2 - k*g**2. Give h(u(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002723 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2866628m to centimeters.\nAnswer: 28.66628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -15824249\nAnswer: -15824250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524463776?\nAnswer: 2, 43, 563, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112130 (base 4) to base 12.\nAnswer: -1a1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1721*w**2 - 5246*w**2 - 3996*w**2 in the form q*w**2 + m + x*w and give q.\nAnswer: -10963","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -4*x. Sort x, -2, 0 in ascending order.\nAnswer: -2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77\/335 - -2\/67. Which is the third smallest value? (a) x (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by -6596?\nAnswer: -169\/6596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64 + -54 - (2 + 23)) + 2 - 1) + 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 19*h**3 + 2*h**2 - 2*h + 1. Let w = -11 + 12. What are the prime factors of p(w)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 (base 14) in base 8?\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2371*y - 1189*y + 8*y**3 - 1182*y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -74\/459 in 1\/13, -3, -1, -4\/3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23020020 (base 4) to base 7.\nAnswer: 246606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p**2 + 0*p)*(-8*p + 3*p + p)*(1 - 1 - 2 - 4 - 1 + 4 + (1 + 2 - 1)*(-1 + 2 + 0) - 3 - 1 + 3 + 0 + 0 + 2 - 5 + 0 + 3 + 3 - 1 - 1).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 at least 1607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002644157 rounded to 5 decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.99 and -8899?\nAnswer: -17709.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 133200 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*c - t, 12 = 3*c + c + 3*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 4*j - 3. Let r(y) = -4*y**2 + y**3 - 2*y**3 - 4*y - 2 + 2*y**3. Let n be r(5). Give z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, v: 4, n: 1, h: 1, i: 1}. What is prob of sequence ny?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 881.8 - 877.4628. Let g = 0.0728 + k. Round g to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*j - 3 = 0, u + 121994*j - 121991*j + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-16 + (2 - 19) - -5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 6. Let q(f) = 3*f**2 - 5. Let s(g) = 5*o(g) + 6*q(g). Let t(h) = -h - 2*h + 0*h + 2*h. What is t(s(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -5 (c) -155218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2) + -2)**2 - sqrt(10)\/(-1*sqrt(5)) - (2 + sqrt(6)\/sqrt(3))*6.\nAnswer: -6 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24135 (base 6) in base 3?\nAnswer: -11211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3275 is divided by 1063?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 4*g**2 - 6*g - 22. Determine v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44266450133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66.61 + -188.1. Let n = m - -258. What is n rounded to 1 decimal place?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 684489, 2738083, 6160779, 10952577, 17113477, 24643479, 33542583?\n\"Answer: 684551*k**2 - 59*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -28085.\nAnswer: -138\/28085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132 + 102 - 318 + 9*o + 24.\nAnswer: 9*o - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9160 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06649 <= 127297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -2. Let c be ((-7)\/(-14) - u\/(-2)) + 8. Solve 0 = -5*b - 31 + 6, 2*o - 26 = c*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 22 = -23. Suppose -2433 = -4*b + s, 0 = g*b - 8*b - 3*s + 3020. Round b to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40461845 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 949 - 949 to y*a + f and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376 - -49. Let z = k - 42. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*j**4 + 235*j**2 + 2*j + 57579 wrt j?\nAnswer: -56*j**3 + 470*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 5) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 21 = -2*d, -24 = -2*d - 3*c + c. Suppose 0 = -d*w - 0*w + 171. List the prime factors of -6*w\/3*-1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/30)\/(312\/40). Which is the second biggest value? (a) j (b) 0.1 (c) 0.172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3*p**(-4))\/p**24*(p\/p**(-2\/3)*p*p\/(p\/p**(2\/9))*p)\/(p\/(p\/p**(-1\/2))*p\/(p\/(p**(-5)*p))) assuming p is positive.\nAnswer: p**(-299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.001 - -93.999. Let c = -94.2 + k. Sort -1.4, -0.1, 3\/5, c in ascending order.\nAnswer: -1.4, c, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let h(m) = -3*m - m - 3 + z*m. Let w(y) = -y - 1. Let u(l) = h(l) - 3*w(l). Let j(n) = 2*n. Calculate j(u(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/200 and -16\/125.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 + 435152*r\/5 + 435153\/5 = 0 for r.\nAnswer: -1, 435153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - -227046159.\nAnswer: 227046197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = p. Let a = 79 + -143. Let q = a + 66. What is the lowest common multiple of q and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -745 - -2236\/3. Which is the third biggest value? (a) 4\/7 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**2. Let j(t) = -28*t. What is j(n(s))?\nAnswer: -168*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -47. Let i = -101105 + 101104. Sort n, -3, i, -4.\nAnswer: -4, -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + z**3 - 3*z**5 + z**3 + (-3 + z**2 + 3)*(-21*z - 47*z**3 + 21*z).\nAnswer: -50*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (164 - 2) - (46 + -5).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54915 and 8295.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*s**3 + 2*o**2*s**2*t + 2*o**2*t + 88*o*s**2 - 169*o*s*t wrt s.\nAnswer: 6*o**2*s + 4*o**2*t + 176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 36 + 80*z + 27.\nAnswer: 80*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 7. Let a be n(6). Suppose -890 = -a*t + 5*d, -4*t + 5*d = -0*d - 707. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuxxssxxxux. What is prob of sequence xxxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-52 + 50 - (1 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 3*f + 0*f + 23*f to the form y*f + p and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k = 2*p - 19, -3*p - 102 = 5*k - 109 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33333*z**5 + 1276*z**4 + z**3 + 198*z**2 - 212945 wrt z?\nAnswer: -1999980*z**2 + 30624*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((15 - 27) + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*p - 14 = -96*p - 2*y, -y = 5*p - 27. Suppose -2*i = i + 24. Let g be i\/20*(-40)\/2. Solve -s - 3*a - 4 = g, p*a = 5*s - 40 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 - 321*z**4 + 9048*z**3 - 24336*z**2 = 0. Calculate z.\nAnswer: 0, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 23 = -g, 3*g + 0*g - z = 47. Solve -u = 4*u - g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 6:10 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-550)\/(-22)))\/((3\/(-2))\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 374907820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.263483 years in centuries?\nAnswer: 0.01263483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 1083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1267*q + 1980 wrt q.\nAnswer: -1267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*k + 499 = -11, 2*r - 5*k - 239 = 0. List the prime factors of r.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -889*b - 3700. What is v(-5)?\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4970 and 8?\nAnswer: 19880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a. Let c(w) = -18*w. Let t(v) = 6*c(v) + 34*o(v). Let p(y) = -2*y. Calculate 10*p(n) - 3*t(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**2 + 442*k - 53. Let h be l(49). Suppose -24 = -4*s + 4*g, 3*g + 9 = -2*s - 2*g. Suppose 2*u + s - 7 = 0. Sort 1, -2, u, h in decreasing order.\nAnswer: u, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + z - 4 = 17, -5*z = 4*d + 102. Let o(p) = -12*p - 8. Let q be o(-1). Is q greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 27443280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 3*f + 2*f - 10, -6 = l - 3*f. Let u = 23349\/7 + -3336. What is the second smallest value in -1, -5\/6, u, l?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 137*y + 7699. Determine n(-56).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) -0.4 (c) 9752 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 9*y = -l - 4, 8 = -4*y - 2*l. Solve 4 = x - y*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1428, 5718, 12866, 22866, 35712, 51398, 69918?\nAnswer: 91266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 672 divided by -129.\nAnswer: -224\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + (-121)\/(-66) - 38\/204\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6213?\nAnswer: 3, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10349449 and 143951427?\nAnswer: 1583465697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -15, -11, -5, 3?\n\"Answer: v**2 - v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -2e277?\nAnswer: 2e276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 315*p - 45368 + 100*p + 665*p + 45368 + 4*p - 3*p + 0*p + (-p - 5 + 5)*(-1 - 3 + 3) - 2*p + 0*p + 3*p.\nAnswer: 1083*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.234 (b) -0.143 (c) -5\/364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 4.7, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*l = -7*l - 102075, -4*l = -4. Let j = g - -28679. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 5*z - 4*y, -5*z + 5*y = -15. Suppose -5*s + z*v + 12 = -3*v, 0 = 4*s + v - 13. Let c = -4 + 9. Solve -s*h = 0, k + 4*h = -h + c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156974 by -83.\nAnswer: 156974\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1 - (-4 + (2 - 1)). What is the second derivative of -2*k - 4*k**2 + 3*k**x + 17*k**2 - 6 wrt k?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13783.19312 rounded to the nearest 100?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21253 and 1203.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/9, -5 in decreasing order.\nAnswer: -1\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151248186?\nAnswer: 2, 3, 79, 106363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 52*f**2 + 359*f - 31. What is v(-8)?\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 11 - 534\/(-48) - 266\/336. Suppose -n - 3*s - 5 = 0, -2*s = -5*n + s - 25. What is the closest to -2 in 2, y, n, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 v, 1 p, and 1 i when four letters picked without replacement from vopri?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - n**4 + 6*n**4 + (1 - 1 - 2*n)*(n**3 - n**3 + n**3) in the form x + i*n + q*n**4 + u*n**3 + z*n**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*(1 - -25). Suppose -2*k + 21 = 3*t, -5*t + 1 = 5*k - w. Suppose k*g - 2 = 4. What is the smallest common multiple of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.1. Let z = 3499 - 3504. Suppose -2*m + 2*a = -6, 2*m = -3*m + 3*a + 15. Sort y, m, z in increasing order.\nAnswer: z, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421022445 (base 6) to base 10.\nAnswer: -7328189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 41*j**2 - 24*j - 7. Let d be p(-8). Let g = d + 882. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 4*y - 4*y - y**2)*(3*y + y - 5*y)*(6 - 25 - 30)*(3*y + 5*y - 5*y) to z*y**3 + l*y**2 + f*y + a*y**4 + h and give z.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let c be o(2). Suppose 3*s + c = 7. Suppose 2*q + 3*t = s*t + 301, q - 140 = 3*t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81078255 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**2. Let f(n) = -2*n. What is u(f(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 26 = -5*h - 7, 0 = 4*l + 2*h - 18. Suppose -l*d + 3*d - 4 = 0. Solve -d = f - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (64\/4)\/((-13)\/13)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.2 + -11.7. Which is the closest to -0.19? (a) -3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3, -47, -163, -387, -755, -1303?\n\"Answer: -6*l**3 - 2*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {j: 3, m: 8, a: 2, w: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/(1*(-5)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*d**(-2\/7)*d*d)**(-15\/4)*((d\/d**7)\/d)\/(d*d**12*d) assuming d is positive.\nAnswer: d**(-297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 2) - -5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 - 3*l**4 - 5*l**3 + 4*l**3 - 65 + 72 - 2*l**2 as t*l**3 + y*l**2 + p*l**4 + g*l + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 3. Suppose -4*w + 15 = 3. Let c be r(w). Suppose -3*m - 4*d + 101 = c, 2*m - 5*d - 98 = -0*d. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-996.00544.\nAnswer: 398.402176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13035 (base 6) to base 2.\nAnswer: 11110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**3\/3 - z**2 + 3*z - 2. Let t be p(-4). Let w = -273\/5 - -55. Which is the biggest value? (a) t (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 6. Let q be i(0). Let p(z) = 32*z + 5. Let c be p(4). Let u = c - q. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 - 30\/8. Let i be (k\/4)\/((-5)\/(-435)). Let f = -39 - i. Calculate the highest common factor of 72 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3918759, -7837551, -11756343, -15675135?\n\"Answer: -3918792*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1157\/267*(-495)\/(-975)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389958941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q - 3*a + 736 = 0, 4*a - 368 = -2*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 326 + -227. Let u = b + -95. Let k(r) = r + 5. Let l be k(-3). Solve -3*j = -l - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12755101.\nAnswer: 113, 112877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90574 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 15*q - 28*q + 12*q + 13. Let a(c) = -c**2 - 9*c + 4. Let s be a(-11). What is the remainder when m(s) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3683*v + 3684*v - 2 - v**3 + 6*v**3 + (2*v - 2*v - 4*v**3)*(0 + 16 - 5).\nAnswer: -39*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -w + 6*w. Suppose 4*f - 4 = 3*r - 0, -w*r - 5*f = -28. Find the third derivative of 2*x**2 - 20*x**4 + x**2 + 18*x**r - 13*x**4 wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -498.9, 443, 7?\nAnswer: -498.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 5:46 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = 0, 4*j - 25 = -5*l - 0*l. What is the greatest common divisor of j and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1339, -2, 209 in descending order.\nAnswer: 209, -2, -1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/33 and 9*8\/16*(-24)\/(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-2)\/((-30)\/(-21)). What is the biggest value in 3, -3, p?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + o - 14*o to the form u + i*o and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 834, 3445, 7796, 13887, 21718, 31289, 42600?\nAnswer: 55651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 244. List the prime factors of v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7231537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*h + 58*h + 1687 = -798 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2*-11.35\nAnswer: 22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**3 + 1484*o**2 - 3025*o - 29. Let i(a) = a**3 + 212*a**2 - 432*a - 4. Let p(k) = 4*c(k) - 29*i(k). Let p(j) = 0. What is j?\nAnswer: -214, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 2*l + 1. What is the least common multiple of g(0) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**3 - 15*u**2 + 47*u + 4. Let x be k(3). Sort -0.5, x, -2\/3.\nAnswer: -2\/3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 290.53 - 2131115\nAnswer: -2130824.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1642483975?\nAnswer: 5, 11, 19, 314351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -10, -2\/1912251 in increasing order.\nAnswer: -10, -2\/1912251, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 403312289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -24, -5, 1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-20)\/9)\/((-118)\/59))\/(25\/(-30))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 20 = 2*o, o = -3*o - 4*j. Suppose 2*x = -i - o - 1, i + 5 = 0. Let k be x - (1 + (-9)\/12). What is the nearest to k in 0.3, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 2*z + 3*o - 225, -z + o + 51 = 0. Let m = z - 37. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (8\/(-4) - -32). Suppose -f + b = -3*m, -4*f = -5*f + 5*m + 31. Calculate the remainder when 60 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 34*b - 39*b - 2 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**7\/56 + 19*p**6\/40 + 309*p**5\/80 + 57*p**4\/16 - 63*p**3 + 243*p**2\/2 + 2735*p. Find y such that k(y) = 0.\nAnswer: -9, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 853. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 83753 + 83753.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -1\/4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-175)\/(-45) + -6 + 1. Let n = p - -4\/9. Which is greater: 0.01 or n?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13845 + -9459. What is the greatest common divisor of l and 1290?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/6560 and 73\/63632.\nAnswer: 636320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 268*b - 15*b**2 + 1 + 72*b**2 - 17*b**2 - 18*b**2.\nAnswer: 2*b**2 - 268*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 65748 + 66923 = 0 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-1*1*-4)\/(sqrt(648)*2 + -2*sqrt(8)*-2).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3577.014 seconds to days.\nAnswer: 0.041400625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*r = -3*r - 13, 5*d = 4*r + 24. Let q(k) = -4 + 1 + k + d. Let w be 4 - (2\/(-2) + 2). Give q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.36 (b) 3\/4 (c) 4\/7 (d) -1\/571 (e) 4 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86037 greater than 86036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 4 (b) 36 (c) -11 (d) 2\/9 (e) 5 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/30 - 35\/(-105). Factor -c - 2\/5*s**2 + 8\/5*s.\nAnswer: -2*(s - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 3907*q - 39145. Calculate x(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-2)*72\/180. Which is smaller: u or 1108?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*u + 2, 5*w - 1 = 2*u - 8. Suppose -3*j + 4*j = u. Which is greater: -1\/4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -5*m + 14065, 2*m + 0*m - 10 = 0. What is s rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416493.\nAnswer: 3, 7, 11, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:21 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3378 - -3.15?\nAnswer: 2.8122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 6837131?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.17. Let p = w - -20.97. Let k = 20.999955 - p. What is k rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*p = -6, 11*h - 10*h - 8 = -2*p. Let c = 19 - 22. Calculate the least common multiple of h and (c + -36)*(-10)\/15.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 12 - 48. Let c be (-490)\/(-18) - 4\/m. What is the units digit of (-399)\/(-27) - (-6)\/c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, -62, 1, 24, -5.\nAnswer: -62, -5, 1, 24, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*v - v - 8 = 0, -5*u - 4*v + 26 = 0. Let x(a) = a**u - 3*a**2 - 6*a**2. Let t(k) = -2*k. Give t(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/30)\/((-1408)\/(-320)))\/(1\/4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56880.6271 rounded to the nearest 1000?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.02559 - -0.104889.\nAnswer: -1.920701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 17 - (2 + (0 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/30 - k**4\/8 + k**3\/3 - 3221*k**2. Let g(b) = 3*b**2 - 4*b + 2. What is -5*g(t) + 6*u(t)?\nAnswer: -3*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 4*r**2 + 6865*r + 12381*r - 4813*r.\nAnswer: -r**2 + 14433*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**3 + 18*x**2 - 31*x - 397. Determine k(-7).\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 6. Let i be l(-4). Let j(q) = -q - 1. Let f be j(-3). Suppose 12 - f = -2*t. Sort i, t, 2 in increasing order.\nAnswer: t, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - -8. Suppose 3*a = -a - g. Let y(d) = -d**3 - 9*d**2 - 3*d - 5. What are the prime factors of y(a)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 40. Suppose 4*q + 14 - 70 = k. Calculate the highest common factor of 21 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24944724\/71 or 351335?\nAnswer: 24944724\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*d + 119 + 4622, -3*d + 4717 = a. Suppose 0 = 9*v - 8180 - a. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or -51\/24338?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -13\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 2 - 17*i + 2)*(2 + 6 - 4) in the form n + d*i and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1199 and 371576?\nAnswer: 445519624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-26))\/(t\/(t\/(((t**(-23\/2)*t*t)\/t)\/t))))\/((t*t**(-1\/4)\/t*t*t*t*t*t)\/t**(4\/15)) assuming t is positive.\nAnswer: t**(-1079\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 92. Let w = v + 9. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -25 + 2*v**2 + 25. Let z(m) = -6*m**2. What is y(z(w))?\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 11:55 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjcvcdvvvjv. Give prob of picking 2 c and 1 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 4. Let x(k) = 3*k + k - 1 + 10*k**2 - 17*k**2 + 6*k**s. What is the units digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -39 (c) -16 (d) 37\/9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/2 - 677*u**3 - 59363*u**2\/2 - 299509*u + 329868 = 0.\nAnswer: -1309, -28, -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53090.6786 - 53083. Let d = w - 7.45. Round d to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17528, -17415, -17302, -17189, -17076?\n\"Answer: 113*t - 17641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 176. Solve -2 = -8*g + q for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 = -p + 4*p, -5*t - p - 33 = 0. Let q be (-16)\/t*(-7248)\/(-64). Suppose 6*u - q = -26. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c - 4 + 4*c + 4 - 6*c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 630649.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuunutnnnuwnnnwn. Give prob of picking 2 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 9*z**2 - 48*z - 33. Let q be y(6). Let s be 2\/4 + (-518)\/(-20). Let u = -26 + s. Which is the third smallest value? (a) -2\/9 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -607*h - 4243. Let a be l(-7). Let y(f) = -f**3 - 2*f**2. Let v be y(-2). Suppose -a*q + 906 - 228 = v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 448 divide 25751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.11 - 2.13475. Let z = o + 0.024. What is z rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 324 = 5*z + w, -2*z = 5*w + 133. Let a = z + 65. Sort 7, a, -8 in ascending order.\nAnswer: -8, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, q: 4, d: 1, b: 4, u: 6}. What is prob of picking 1 b and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/50 - 166\/30. Let o = d - -19\/3. Let 2\/5*a**4 + 2\/5*a + o*a**2 + 0 + 6\/5*a**3 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1754*r**3*s + 128*r**3 - 42887*r**2 - 3*s wrt r?\nAnswer: -10524*s + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w + 10. Suppose 0 = 4*t - 3*s - 21, 6*s = -w*t + s + 35. Which is smaller: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/6*(-53)\/(-2). Suppose 2*a + 0*q - i = -q, 2*a - q = 55. What is the common denominator of 31\/6 and ((-76)\/(-6))\/(48\/a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 329\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0055 + 3.0045. Let m = 0.01 - n. What is the second smallest value in m, 3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 695 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 3*x + 3. Let a = 6 - 9. Let p be u(a). Determine h so that h**4 - 4*h**4 - h**2 + 4*h**4 - 4*h**3 + h**5 + 3*h**p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 73?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/(-9)*-5)\/((-3)\/18). Let t = j - 36. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8496397 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000567 to six dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 + 0.09. Let r be 4\/(16\/3 - 4). Sort r, n, 2.\nAnswer: n, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/153 and 73\/81.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 359424161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-2) + (-34)\/(-17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50371469?\nAnswer: 50371469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/720 and -7\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 8. What is the remainder when 4\/18 + 34\/9 is divided by c(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/382 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/68, 1, 5, -3, -0.4?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -79\/70?\nAnswer: -79\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209222 is divided by 410.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 - 5 + (2 + 0 + 0)*(-2 + 1 - 2))*(8*o + 2*o - 27*o) to the form j*o + n and give j.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, 2, 0, -4 in ascending order.\nAnswer: -11, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4435 + -5?\nAnswer: -443a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151713\/5 - 30342. Which is the nearest to -1\/11? (a) 5 (b) 8 (c) 1\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050 (base 13) in base 6?\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91861.58l to millilitres.\nAnswer: 91861580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 2247333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 1198*g - 1201*g - 24 = 0, -88 = -4*j + 4*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 1\/525?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 6329 = -4*n + 6421, 3*n - 4*m - 76 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3942675, -7885343, -11828011, -15770679?\nAnswer: -19713347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 n, and 1 d when four letters picked without replacement from ddntxndndntnntndx.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b)\/b**(-18\/5) assuming b is positive.\nAnswer: b**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400245988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2456*s = -8653*s - 161122 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v - 590. Give i(57).\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2 + 2*u**2 + 4*u**2 + 5*u**2 + 3*u + u. Let m be i(1). Let v = 36 - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18169318 and 916?\nAnswer: 36338636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let b(q) = -63 + 7*q + 63. Calculate b(n(p)).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 5:36 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 473831641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + 234\/27)*(-3)\/(-4). Which is the closest to -10? (a) l (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/63*119\/(-2) and (48\/10)\/((-7)\/5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610 - 545647\nAnswer: -545037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7*(119\/(-68))\/((-6)\/84)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/608)\/(9\/42*((-6955)\/(-130) + -57))?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -80*q**5 + 2720*q**4 - 20225*q**3 - 99015*q**2\/2 - 20790*q - 2430 = 0.\nAnswer: -3\/2, -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 323510 and 4.\nAnswer: 647020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from eqetqezaedttteaeeede.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16046*h + 32073. Calculate q(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12030 = -0*p - 5*p. What is the third derivative of -24*q**3 + 2406 - 12*q**2 - p wrt q?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 2\/3 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 110?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 - 3*a**2 + 4. Determine k(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**2\/2 - r + 2. Suppose -16 = v - 5*v. What is the units digit of j(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12367904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 70\/(-70) + ((-10)\/7 - -2). What is the nearest to 113 in o, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + (2 - 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*g + 14352 = 0, 4*r - 2*g = -g + 14360. Calculate the greatest common factor of r and 378.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 13910.\nAnswer: 27820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241360047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 3}. Give prob of picking 1 d and 2 u.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (31779\/(-9416))\/(3\/24)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.795. Let p = -0.065 + h. Let g = p - 0.2. Which is the second biggest value? (a) 2 (b) g (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1559.0565956 + 1561.8635. Let x = k + -2.90691. Let m = x + 0.1. Round m to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215c (base 16) to base 2\nAnswer: 10000101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6472609 centuries in years?\nAnswer: 64.72609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b + 1. Let c(j) = -5*j**3 + 9*j**2 - 4*j - 2. Let m(r) = -c(r) - 4*o(r). Suppose -10*y + 31 = -59. What is m(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 2\/9, 2\/13, -2\/8211?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -9 - (3 - (3 + -3) - -12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2 + 1. What is d(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 626\/(-8) + (-4)\/(-16). Let x = n - -144. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 6 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 10*c**2 + c - 9. Let s be n(10). Solve -5*w - 21 = f, 2*w - s + 27 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 128*r.\nAnswer: 4*r*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-185))\/((-3)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -240313 and -4.\nAnswer: 961252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158194 - 158194 - 2532*g**2)*(0*g + 4*g - 2*g) + (3 - 3 - g**2)*(g + g - g).\nAnswer: -5065*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 12954.\nAnswer: -1\/6477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196\/3 + 66. Let l = -0.04 - 2.96. Let i = l + 0. Is i <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40132 + -40132. Let o be ((-3)\/(9\/(-3)))\/1. What is the nearest to o in -9, b, 3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 1:40 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23601709562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0231002 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 588.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061*y**3 + 3005*y**3 + y - 6*y.\nAnswer: 944*y**3 - 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.341 * -0.5391.\nAnswer: 0.1838331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 507593664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 74. Suppose 0 = 18*c - 1447 + 1393. Let h(z) = z - 25. Calculate c*r(s) + 8*h(s).\nAnswer: -s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and -2686.\nAnswer: -61778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1136 is divided by 205.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -95717063.\nAnswer: -95717057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f - 5*f + 3*f)*(3 - 3 + 1)*(4 - 4 - 1)*(-132*f - 29777 + 14*f + 29782) in the form p*f**2 + x*f + s and give p.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1570b0 + 0?\nAnswer: -1570b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 not equal to 0.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*h + 1764 = 2094 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3072 + 3067. Which is the second smallest value? (a) 0.23 (b) -0.1 (c) 2\/17 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -2 (c) -3761 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0628? (a) 2\/7 (b) -4\/7 (c) -0.4 (d) -2\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o - 18. Let m(z) = -45*z - 75. Let a(h) = 6*m(h) - 25*u(h). Let d(p) = -18*p**2. Determine d(a(v)).\nAnswer: -450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/5)\/l)\/l*l**3)\/((l**(1\/2)\/l)\/l)**(-2\/39))\/((l\/(l*l\/(l*l\/(((l\/(l\/(l**1*l)))\/l)\/l))))**(-10\/9)\/(l**1*l**(1\/8))) assuming l is positive.\nAnswer: l**(16657\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 7\/2)*0. Let r(v) = v + 6. Let k be r(-7). Let d be 28\/(-4)*1*k. Solve -2*i = 2*i - 4*g + 12, 4*i + g + d = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 3\/5 (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 - 7*f - 1. Let b be j(-8). Calculate the remainder when ((-1)\/2)\/(b\/306) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.45 - -13. Let b = 0.05 + t. What is the closest to -2\/3 in b, 1, -2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/3 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 780225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2227261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 64*o**2 - 198*o + 111. Is 11 a factor of h(59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 - -233124033?\nAnswer: 233124125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 452142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3557.382 times 0.7?\nAnswer: -2490.1674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 48?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 74*y - 261. Is g(44) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 814 divided by 11?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let a(y) = -3 + 1578*y**2 + 9 + 386*y**2 - 6. Determine o(a(q)).\nAnswer: 1964*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -155060 to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8375071391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8*(-8)\/(-812). Let c = n - -8123\/1218. Let d = 160 + -391\/2. Calculate the common denominator of c and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 16 = -2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) -4 (d) 9.162 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7 + 2 - 45*t**2 + 20*t**2 + 24*t**2 - 4*t. Let p be l(-2). Let k be (-6)\/(-5)*(-15)\/(-87). Is p at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627*y + 620*y + 945 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 0.1, -59, 3, -4 in decreasing order.\nAnswer: 44, 3, 0.1, -4, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 - p**3 - 13*p**2 - 22*p**2 + 75*p**2.\nAnswer: -p**3 + 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i + 6*i + 1695 - 1692. Let j(u) = -3*u - 3. What is -6*j(a) - 5*o(a)?\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**8\/168 - s**7\/105 + s**6\/20 + s**5\/30 - s**4\/6 - s**2 + 42*s. Solve w(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a hour in seconds?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**3 + 5*u - 3. Let i be 4\/(-22) - (-3)\/(-33)*-57. Let o(l) = l**3 - 2*l + 1. Suppose -172*q + 157*q + 30 = 0. Give i*o(n) + q*b(n).\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000281939 to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, u: 2, e: 1, x: 3, i: 4}. What is prob of sequence iaxu?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6655*u**5 + 40*u - 71*u**2 - 549*u**2 - 2602*u**4 + 2970*u**3 - 423*u**4.\nAnswer: -5*u*(u + 1)*(11*u - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z + 8. Let i be a(-6). Let u be 7\/3 + i\/(-6). Solve -2*h + u = l - 0, 4*h = 2*l + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1168436 + -1168354.8013. Let v = -0.1013 - x. Round v to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**5\/60 - v**4\/6 + v**3\/3 - 3*v**2 - 4*v. Let b(m) = -5*m - 1. Let x be b(4). Let a = 26 + x. Determine y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 8 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18963106 * 0.3.\nAnswer: 5688931.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i + 3*i + 1 - 17*i - 23*i**3 + 9*i as j + d*i + o*i**2 + g*i**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let h(m) = 3*m**2 - 2*m + 3. Let n be 15*((-252)\/30 - (8 + -16)). What is n*f(a) - 2*h(a)?\nAnswer: -6*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 56*c**5\/3 + 460*c**4\/3 - 2388*c**3 - 2248*c**2\/3 + 11968*c\/3 - 1024 = 0. What is c?\nAnswer: -16, -3\/2, 2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o**2 - 163*o - 325. Determine i(-50).\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2147*x**3 + 6*x**4 - 4 - 2152*x**3 + 2 in the form m*x**3 + v + j*x + h*x**4 + w*x**2 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 3*a - 3\/10*a**5 + 1\/6*a**3 + 0 + 0*a**4 + 1\/2*a**2. Give u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 9. What is the units digit of ((-8)\/24)\/((-1)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + -2)*-4 + -1 - (sqrt(156)*-1*1)\/(2*sqrt(12)*2))**2.\nAnswer: -553*sqrt(13)\/2 + 81917\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 1, m: 5, f: 3}. Give prob of picking 1 m and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o - 9990 = -10311 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -468 in 2\/115, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1768402689?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 93, 1779, 2, 40.\nAnswer: -5, 2, 4, 40, 93, 1779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -36 + 10 + -1 + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1043900 to the nearest 10000.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 795 = -774. Which is the second biggest value? (a) u (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64293?\nAnswer: 3, 29, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 70?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-91)*11368\/2436?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5740 and 6078 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1224 - -3779\/3. Let m = -35 + l. What is the closest to -0.1 in m, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -8\/9 (c) 2\/7 (d) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 7. Let p be b(-6). Suppose f = p*f. Suppose k - 108 = -2*n + 17, f = -k + 4*n + 143. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113551933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316 a factor of 840454188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x - 5 = 5*b, 0 = 4*x - b - 1. Suppose x*v = -5*v + 10. What is the remainder when (v\/(-2))\/((-5)\/145) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5\/2 (b) 3 (c) 3\/2 (d) 22.4741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -h + 4*r, 5*h + r = -r + 10. Suppose 0 = -h*q - q. Let b = 264 + -269. Which is smaller: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14650 + -14043. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -4, -7, -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 21 - k**3 + 28*k + 5*k**2 + 11*k**2 - 5*k**2. What is the tens digit of z(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 286470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(1 + 3 + -3). Let m(g) = -2*g**3 + g. Let a(d) be the second derivative of -9*d**5\/20 + 2*d**3\/3 - d. What is l*a(y) + 26*m(y)?\nAnswer: 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*m + 2*s = 1, 43 = 2*m + 5*s. Suppose g = -4 + m. Calculate the lowest common multiple of g and 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1881.0415 - 1901.0415108. Let z = -20 - a. Round z to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 211.32 (c) -2\/7 (d) -1\/4 (e) 0.5 (f) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 5 - (sqrt(612) + (sqrt(612)*-6 - sqrt(612)))**2.\nAnswer: -22027 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4\/4 + 2365*x**3\/2 - 355320*x**2 + 55744115*x\/2 + 7300314245\/4 = 0.\nAnswer: -41, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2720910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 + 2*h**3\/3 + 4*h**2. Let u be n(-4). Suppose -4*c + 0*c = 0. Solve -5*l + c*l + 20 = u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z*z\/z**(-2)))\/z)\/z*z)**3\/((z\/z**(2\/7)*z)\/(z**(2\/9)\/z)))\/(((z\/z**(3\/8)*z)\/z**(1\/11))\/(z**4\/(z*z*z*z**(-1\/5)*z))) assuming z is positive.\nAnswer: z**(-438701\/27720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 11*x - 8. Let a be w(10). Let g be (-8)\/36 - 76\/a. Suppose -1\/4 + d - 3\/2*d**2 + d**3 - 1\/4*d**g = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 + 4*b**2 - 2*b**2 - b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*y - 67756 = 0, 3*v + 74*y - 71*y - 101652 = 0. List the prime factors of v.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559561*i**3 + 875692*i**3 + 95337*i**3.\nAnswer: 1530590*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*i + 6 = 42, -2*u + 18 = 2*i. Suppose 5 - 2*z + 4 - u + 2*z**2 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3517 + -446055?\nAnswer: -442336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39633*c**2*g**3 + c**2*g + c**2 + 10*c*g + 133*c - 279*g**3 + 2*g**2 + 68*g + 2 wrt g?\nAnswer: 237798*c**2*g - 1674*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6783924 and 2604?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 14*m - 15. Let k be s(10). Suppose k*q - 28*q = 168. Let t = q - -91. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*x + 66*x + 16*x - 15*x + 83*x.\nAnswer: 122*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*s**3 + 2*s**3 - 9*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + 5*w)*(-4 - 290*w + 792*w - 407*w - 249*w - 215*w).\nAnswer: -738*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-6)*(-6)\/(-32). Let j = 3\/8 + g. Factor -j - 1\/2*k**3 - 3\/2*k**2 - 3\/2*k.\nAnswer: -(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 460\/16905*(-9)\/6?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 + 5*h + 4. Let a be t(-5). Solve a*v = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n = 61*n + 6. Sort 11, 1, n.\nAnswer: n, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + 137. Let d = -535\/3 + b. What is the closest to 1 in 0.2, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -19. Calculate the lowest common multiple of (13\/((-39)\/(-450)))\/1 and u.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3 - -4)*-15. Let i be -6*((-20)\/(-3))\/2. Calculate the remainder when (-288)\/i - (-6)\/v is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -112, -205, -316, -451?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1615 + -1617. Which is the third smallest value? (a) 0 (b) 5.3 (c) g (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-6) + (-3)\/(-2). Let p be -3 + 2 + (k - -2). Calculate the common denominator of 73\/6 and p\/(-6) + (-2)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1843162 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwwofafawwwffwa. Give prob of picking 1 o and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*p - 4*m - 8, -m = 4*p - 16. Suppose p*t - 24 = -0. Suppose g + t = 24. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/28 and -23\/49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 13*k**3 - 2 + 2*k**3 as x*k**2 + f*k + m*k**3 + h and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*p - p - 22 = 0, -s - 4 = -4*p. Let o = 7 - s. Let c be 4\/(0 - (-6)\/o). Solve 0 = -5*u + q + 19 - 1, c*q = 3*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t + 5*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k - 27. Let m(q) = 5*q + 13. Let p(a) = -9*m(a) - 4*o(a). Calculate p(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-63))\/((-82)\/(-123)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/24 + 78\/(-9). Let a be (-4 - y)\/5*0. Which is smaller: 3\/23 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13293 + -1584?\nAnswer: -14867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64237\/696274 - 55\/502. Calculate the common denominator of 39 and j.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -199, 91, 2\/23?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25735071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 12, -0.02, -4 in decreasing order.\nAnswer: 12, 3, 2, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6666377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 2, o: 2, i: 5}. What is prob of sequence to?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 2*n - 34, n = -q + 14. Let k(a) = a**3 + 18*a**2 + n + 4 - 22*a + 2*a**2. What is the tens digit of k(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - 2cc4141?\nAnswer: -2cc4148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6792 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) + 2*sqrt(68) + sqrt(68))*1 - -6*sqrt(68)*1)\/(-2*(-1*sqrt(28))\/sqrt(7)).\nAnswer: 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0197292175 rounded to 6 dps?\nAnswer: -0.019729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**3 + 8*c - 3. Let j be b(2). Let v be (-1 - (-99)\/j) + 2\/(-7). Solve -22*u + 23*u = v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1420840 and 87280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27 - 2660\/(-98))\/1. Let h = 62 + -433\/7. Factor -g*f + 0 - h*f**2.\nAnswer: -f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16130 + -7694006\/477. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -5*r**3\/3 - 155*r**2 - 600*r - 11. Factor y(o).\nAnswer: -5*(o + 2)*(o + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 18*a - 120. Let z be m(4). Let h = -18 - z. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 47\/(-4 + 11 + -6).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6)\/(m**(-7)*m)*(m**2)**18 assuming m is positive.\nAnswer: m**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, y: 3, c: 1, b: 2, v: 1, x: 1}. Give prob of sequence bb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and 5.\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*y = 4348, 11*g = 8*g + y + 3267. Let n = -1085 + g. Solve -16\/7*d**4 + 40\/7*d + 48\/7 - 2\/7*d**n - 4*d**2 - 6*d**3 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -343*w**5 - 817*w + 983. Differentiate v(i) with respect to i.\nAnswer: -6860*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 573 + -359. Suppose -10*b = -j - 116. Suppose 4*k + b = 877. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-42))\/((-4)\/84).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20547 - -20551. Solve -q*u - 3 = 29 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 1, 3507, -3 in increasing order.\nAnswer: -5, -3, -2, 0, 1, 3507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6516, 10921, 15326, 19731?\n\"Answer: 4405*o + 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1628, -6529, -14668, -26051, -40684?\n\"Answer: -n**3 - 1613*n**2 - 55*n + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 829246 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -430 + 429.8. What is the biggest value in b, 0, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*k, -4*k + 706 = 2*y + 698. Which is the closest to 1? (a) -3 (b) k (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -25 (b) 0 (c) -3\/4 (d) -2\/3629 (e) -3 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/110)\/(1\/(-10)). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06254 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/5)\/p**(-5\/4) assuming p is positive.\nAnswer: p**(33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 15*u - 3. Let i be f(-14). Let q(o) = -i + 5 + 161*o**2 + 6 + 2. Is q(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r + 2*a, -a = 5*r - 12. What is the second derivative of -1 + 55*z - 58*z - r*z**2 + 1 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0318 * -0.1.\nAnswer: 0.00318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 57475480 to the nearest 100000.\nAnswer: 57500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeleleee. What is prob of sequence eel?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/60 - 3*m**4\/8 - 26*m**3\/3 + 26*m**2. Let t be j(13). Solve t*v = -v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 12. Let t = u - -13. Let c(f) = 5343*f**2 - 5344*f**2 - 1 + 10. Let p(j) = -j**2 + 4. What is t*p(x) - 4*c(x)?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 410 - -291. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.53 - -0.33. Let q = u - -5.2. Let t = -8.1 - -11.1. Which is the nearest to -1\/4? (a) q (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-1*2 - 0). Let w be (-5854)\/(-30) + (-8)\/(-60)*-1. Let l = 197 - w. Solve l - 10 = -g*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 25*i - 34. Calculate d(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3922542.\nAnswer: 2, 3, 13, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -133*y**4 + 2*y**3 + 2*y**2 + 15082.\nAnswer: -532*y**3 + 6*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 49. Give i(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1836441?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*c + 41. Let b be (-8)\/c*15\/(-6). Suppose b*f = 3*f + w - 13, -2*f = -w - 11. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*z - 20 = z, 0 = -2*j - 4*z - 10. Let k be (-138)\/j - 30\/50. Suppose -9*s = -k - 117. Solve 4*c - s = -0*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418458517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i - 38. Let h be w(6). Solve 0 = 3*o - h - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*s = -39, 23*h + 5*s - 51 = 21*h. Let t = 8 + -26. Let y = 38 + t. What is the smallest common multiple of h and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -262, -390?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 2883*s**4\/4 + 25*s**3\/3 - 34*s**2 + 2244. What is the third derivative of l(m) wrt m?\nAnswer: 17298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = l + 30. Suppose -r + l = -0*r. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*(128\/(-256))\/((-29)\/4)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82263*p**2 - 918713*p wrt p?\nAnswer: -164526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2922 and 4.\nAnswer: 5844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + k**3 + 7*k**3 - k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/23))**(-6\/7) assuming o is positive.\nAnswer: o**(-6\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -859?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/7? (a) -3\/8 (b) -6\/5 (c) 3 (d) -370 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -0.10420852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a = 20*a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 31. Let y = j - -13. Suppose 0 = 4*u - 57 + y. Which is the third biggest value? (a) u (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by -275.\nAnswer: -326\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14117 (base 12) to base 15\nAnswer: -8391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 + 390. Calculate the common denominator of 2\/7 + 332\/f and -49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x - 1. Let z be k(1). What is the second derivative of -102 + 102 + 8*n + z*n**5 wrt n?\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.3 plus 0.0107629?\nAnswer: 23.3107629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let q(p) = 8*p + 1. Let h(s) = -9*c(s) + 2*q(s). List the prime factors of h(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -57*n**2 + 21*n - 24. Let d(i) = 16*i**2 - 6*i + 7. Let l(y) = -18*d(y) - 5*v(y). Let p(m) = 7*m**2 - 7*m + 12. What is 9*l(j) + 4*p(j)?\nAnswer: j**2 - j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2541*0.2.\nAnswer: 0.05082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9540\/((-1590)\/(-30)))\/(2\/(-1))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:23 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -208, -385, -686, -1111, -1660, -2333, -3130?\n\"Answer: -62*z**2 + 9*z - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/10)\/(45 - 44). What is the third biggest value in -1\/91, 0.5, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulliluuuau. What is prob of picking 1 a and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 131*z + 19 = -132*z - 6, -136*r - 4*z = 968 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/156*(21\/(-21))\/((-10)\/15)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034 times 3?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8439?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32767 and -22.1295.\nAnswer: -32789.1295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.96 and 1647.\nAnswer: -37815.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let n = u - 4. Solve n = -3*w - 4 + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-82)\/(-3936))\/(2\/8)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 1319892?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 606 + 39*h**4 - 254 + h + 0*h**4 wrt h?\nAnswer: 156*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1771*l + 3551*l = 1775*l + 3*a + 52, 8*l = 10*a + 182 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 8*n + 8. What are the prime factors of c(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -617338\nAnswer: -45\/617338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 591 divide 342481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22\/55*(-3 - -68) and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 16. Let z(k) = -k + 7. Let v(w) = 3*p(w) + 7*z(w). Let i(a) = -5*a + 2. Give i(o) - 3*v(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286509832 by 4.\nAnswer: 71627458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 9*m**2 + 6*m + 8. Determine t(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y - 35. Let v be f(10). Put v, 1, -1, 12 in ascending order.\nAnswer: -1, 1, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -39?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/4)\/(27\/1278) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8136173629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5509673 and 12636.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**4 - 2*p**3 - 2*p. Let h(c) = 8 + 4 + c + c**3 - 12 + c**2. Let m(w) = -a(w) - 2*h(w). Find the third derivative of m(u) wrt u.\nAnswer: 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 118*t**4 + 2*t**2 + t**3 + 106*t**4 + t**3 - 203*t**4 as p + n*t**2 + j*t + x*t**4 + q*t**3 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 4*t = -3016 + 3013, -t - 639 = 212*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5044.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7810*z**5 + z**4 + 99*z**2 + 19849463*z wrt z.\nAnswer: 156200*z**3 + 12*z**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2413*p - 94102. Determine b(39).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 783 - 1611\/2. Let a(f) = f**2 + 7*f + 13. Let v be a(-4). What is the common denominator of 2754\/1980 - v\/(-5) and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 21850 = 69*k - 64*k. Suppose k = 15*g - 8965. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, -1, -26, -61, -106?\n\"Answer: -5*t**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860173969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let x(i) = 2*i**2 - 2*i - 1. Let g be x(-1). Let u(f) = -7*f**2 - 4*f**2 + 376*f + 380*f - 756*f + 12*f**2 - 1. Calculate g*h(t) + 2*u(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/5)\/(v\/(v\/v**(2\/3)*v)*v))\/(v\/v**(-4\/5)*v\/v**(-1\/6)*v))\/((v**(-1)\/v)**(-2\/61)\/(v**1*v**(-2))) assuming v is positive.\nAnswer: v**(-9331\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3614670 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c**2 + 45*c - 28. Let a(g) = 11*g**2 - 25*g + 15. Determine -11*a(p) - 6*d(p).\nAnswer: 5*p**2 + 5*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 55*z**3\/3 + z + 8. Is x(1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**8\/112 + h**4\/12 - 3*h**2\/2 + 2. Let s(x) be the second derivative of q(x). What is the second derivative of s(g) wrt g?\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5877\/7 - -840. Let s(o) = o**3 + 6*o**2 + 4*o - 4. Let p be s(-5). Let d = 0 + p. Is z greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 - 4. Let t = 44.1 - 44. What is the biggest value in 0.4, t, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.051 + 0.05092. Round a to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9276599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1946753169542 and 1.\nAnswer: -1946753169541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*h**5 + 112474*h**4 - 3*h**2 - 765902*h?\nAnswer: 3900*h**2 + 2699376*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(6849 - 6835 + 2*j - 6*j) in the form q*j + f and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1162\/8 - ((-102)\/8 - -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3434 + 1854 = 4*c. Let t = c + -15827\/12. Calculate the common denominator of -53\/12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 78. Let s be 6*(-4)\/20*1*b. Is s\/9*(-3)\/1 + 1455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g**5 + (-g + g - 2*g**5)*(0 + 2 - 4) + (5*g + 3*g + 2*g)*(148*g**4 + 8*g**4 + 16*g**4).\nAnswer: 1723*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, -0.1, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 - (15 + -27))) + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 87, 129, 169?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 239356605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0*i**5 - 3*i**5 + (5*i - i - 2*i)*(-2*i**4 + 3*i**4 - 2*i**4) - 1 - i**5 + 1 + 37317 + 1039*i**5 - 37317.\nAnswer: 1035*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 58932 = -6*h - 12*h. Calculate the remainder when h is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 3*d + 1. Let h(l) = -2*l + 6. Let t be h(0). Let o be w(t). Suppose -5*a + 107 + o = 0. Calculate the remainder when a is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26053748.\nAnswer: 2, 7, 930491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 7. Let s(j) = -j - 1. Let a(p) = -1. Determine b*a(q) + s(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -7, -72, -8 in descending order.\nAnswer: 3, -4, -7, -8, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.181821 centuries?\nAnswer: 9818.1852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15720*z + 18225 = 16125*z for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (33870243\/825)\/(32\/10 - 2). Let k = -34217 + w. What is the common denominator of 68\/35 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2165601 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, j: 1}. What is prob of sequence ff?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:52 PM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/240 + g**5\/15 - g**4\/48 - 2*g**3\/3 + 51*g**2. Factor u(b).\nAnswer: (b - 1)*(b + 1)*(b + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/4*3\/(-10)*62208\/2916?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6439015?\nAnswer: 5, 11, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 113.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x**2 + 18*x**2 - 15*x**2 - 8*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 609 and 1740.\nAnswer: 12180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n - 3. Let t be k(-6). Calculate the smallest common multiple of 50 and 3*2\/t - (-669)\/27.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91107 - 18039251\/198. Let f = q + -53\/99. What is the common denominator of -47\/8 and f?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 63753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 206*f**3 + 55*f**2 - 6*f - 6. Let s(g) = -208*g**3 - 56*g**2 + 5*g + 5. Let v(t) = 6*s(t) + 5*y(t). Find the third derivative of v(d) wrt d.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1469*v + 115378 = 710*v + 19210 - 38930 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - t**2 + 3*t - 2. Let g be s(2). What is the remainder when 67 is divided by (-2)\/(-4) - (-360)\/g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 17. Let q be ((-4)\/10)\/(2\/60). Let y be i(q). Let n = y + 5. Are n and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - b = 4*b - 20, -4 = -b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - (-72)\/105. Suppose -5*r + 3 = 13. Let y be 132\/69 - (-4)\/r. Which is the closest to w? (a) -2 (b) 3\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.117, -2, -1\/5 in decreasing order.\nAnswer: 0.117, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1401254, 2802359, 4203472, 5604599, 7005746, 8406919, 9808124?\nAnswer: 11209367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1174 equal to -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1399*b + 430684. What is m(-308)?\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/132 and -41\/924.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + -98617.3?\nAnswer: -98659.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -14 - 56. Let j = 144 - 95. Let w = b + j. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -99, 44, 17 in decreasing order.\nAnswer: 44, 17, -1, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 336 = -2*v. Let n = v + -401\/2. What is the common denominator of n and 116\/28 + 25\/(-20)*4?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (1 + sqrt(19))*-1 - sqrt(171)\/(-2*sqrt(9))) + -4 + (sqrt(1900) - -2*sqrt(1900)).\nAnswer: -5 + 61*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - r**2 + 0*r**2 + 0*r**2 + (-2 + 2 - 3*r**2)*(-2 + 2 - 1) - r**2 - 2*r**2 - 2*r**2.\nAnswer: -3*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a + 46. What is d(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8057 - -8062. What is the nearest to -2\/3 in -75, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 11*v - 33. Give h(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701*o + 2333*o - 254*o - 692*o + 19*o**2 - 691*o.\nAnswer: 19*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 3*k**5\/140 - k**4\/4 + 11*k**3\/14 - 15*k**2\/14 + 37*k. Let r(x) = 0. Calculate x.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -159, -242, -325?\n\"Answer: -83*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*5\/(-10)*0. Suppose -7*y + 16 + 5 = t. Let k(c) = 2*c**2 - 2*c - 3. Calculate the least common multiple of y and k(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w + 7*w - 3*w)*(-2021 + 486 - 450)*(1 + 5 - 4) in the form h*w + t and give h.\nAnswer: -7940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 4*y**2 - y**2 + (4*y + 0*y - 2*y)*(0*y - y + 3*y) + 2*y**2 + 5*y**2 - 3*y**2 + 4*y**2 - 15*y + 15*y.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 842 + -331. Suppose -506*z = -i*z + 8765. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let x = 8 - -12. Suppose -5*d + x = -a*d. Solve d*w - 4*g = 28, 30 = w + 4*w - 4*g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 482\/11?\nAnswer: 482\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/8 - c**2. Let h(z) = 2*z**2 + 13 + 14 - 27. Determine i(h(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 7919*h + 39729. Calculate r(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 3, l: 1, x: 1, a: 2, g: 4}. Give prob of sequence xk.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1001011010 (base 2) to base 12\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - -3*(-3 + sqrt(612)))*-3.\nAnswer: -72*sqrt(17) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3259\/7 + 466. Let t = -33\/2 - -67\/4. Sort j, t, 4\/3 in descending order.\nAnswer: 4\/3, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82975\/156 or -533?\nAnswer: -533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (-3 + 0\/1). Is 2 a factor of 44\/i + (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 3, t: 1, g: 3, h: 1, n: 9}. Give prob of sequence ehtg.\nAnswer: 1\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l + 3. Let g(t) = -10*t + 4. Give 5*g(f) - 6*j(f).\nAnswer: 4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 2*k**2 - k**2 - 4*k + k**3 + 3. Let d = 1 - -2. List the prime factors of q(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 11. Suppose -o + b = 4. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.5. Let d = 19 - 13. Let u = 10 - d. Which is the biggest value? (a) -2\/7 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38638.3 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 13. Let a(l) = 2*l. Calculate a(w(q)).\nAnswer: 6*q**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/84 and -1\/487186.\nAnswer: 2923116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 2*l - l - 4*l + 8*l + 8*l - 2*l - 4*l + 3*l + (-2 + 2 + 2*l)*(1 - 3 + 1) + 4*l - 3*l - 3*l in the form y*l + s and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 20. Let z be n(0). Suppose r + 3*r - z = 0. Let a(c) = c**3 - 6*c**2 + 6*c - 3. Let b be a(r). Solve -b*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 3*n)*(5 - 2*n - 2*n - 8).\nAnswer: 8*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z**4 - 3*z**2 + 11*z. Let w(p) = -p**2. Let n(h) = c(h) - 3*w(h). What is the second derivative of n(f) wrt f?\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -358021 times 3?\nAnswer: -1074063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1584 and 13\/880?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.8637 or -1?\nAnswer: 3.8637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18*28\/(-18144))\/((-1)\/6)*6*59.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 y, and 1 g when four letters picked without replacement from {b: 4, g: 4, y: 1, o: 3, q: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/1210 and 37\/8.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*6\/(-8) - 1. Let k be -6099998 + (0 - 0) - r. 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: Let u = -1 - 0. Let s = -3155\/4737 + -1\/1579. Which is the fourth smallest value? (a) 1\/4 (b) u (c) -11 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103643 minus -274.73639?\nAnswer: 103917.73639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 223 = -3*o. Suppose q = 183 + o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -524, -523, -522, -521, -520, -519?\n\"Answer: g - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 81*c - 3795. What is r(33)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 5 - 3 - 2*f**2 + (2*f + f + 3*f)*(-f + 0 + 0).\nAnswer: -8*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35097 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-80)\/(-12))\/5)\/(4213569\/(-842715) - -5). What is x rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 7*b + 16 = 4*i, -2*i + 26 = -5*b. Solve i*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/38431805 and -12\/7985.\nAnswer: 38431805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**5*r)*r**(-4)*(r**1\/r)**41)**(-1\/2) assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 228 in 18, 10\/7, -0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 987.428758 rounded to the nearest ten?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 22*n**2. Suppose -2*o + 3*j = 13, j + 22 = 2*o + 5*j. List the prime factors of f(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 1)*(-5*y**2 + 3*y**2 + y**2) + 1282*y**2 - 1361*y**2 + 776*y**2 - 4 - 2*y to the form m + k*y**2 + h*y and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 29*c - 16847. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2603665 rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21085 * -220.\nAnswer: -4638700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1896*n**3 + 12*n**2 - 26*n - 2. Let z(j) = 1898*j**3 + 9*j**2 - 19*j - 2. What is 3*f(l) - 4*z(l)?\nAnswer: -1904*l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -466, -937, -1408, -1879, -2350?\n\"Answer: -471*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**3 - 75*m**2 + 2500 = 0.\nAnswer: -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371445 divided by 31.\nAnswer: -371445\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -398, -551, -704, -857, -1010?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*v - 880 + 2756 + 434 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.02 = 7\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 1. Let f = -14 - -20. Let q be b(f). Suppose r = 5*h + q, 4*r - 136 = -2*h - 0*h. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875559737 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19584, -19618, -19672, -19752, -19864?\n\"Answer: -l**3 - 4*l**2 - 15*l - 19564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17884 - 798. Let x = -18813.3 + q. Let g = x - -1823. What is g rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*i = 2*x + 12, 3*i = -2*x - 10. What is the units digit of (18\/(-24))\/(i\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1083.89 + 1090. Let t = 6 - f. Let b = 0.1098 + t. Round b to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**9\/5040 + 3*g**8\/2240 - 17*g**4\/24 - 8*g**2. Let c(n) be the second derivative of p(n). Find i, given that c(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r + 21. Let x be i(-6). Let z = x + -10. Solve 0 = 2*h + 1 - z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-7)\/1)*(-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*p = 230*p + 384 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 4*p**3 - 3*p)*(0*p + 0*p + p + 1) to the form y*p**4 + k*p + t*p**3 + r + v*p**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72 and -2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3, 2*g - 224 = -k + 6*g. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182504.2 decades in months?\nAnswer: 21900504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16352 is divided by 3266?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13707829 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1540320 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/6)\/n)**(-9)*(n*n*n**(2\/23)\/n)**(-2\/53))**(-45) assuming n is positive.\nAnswer: n**(-818325\/2438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/33 and -41\/286?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/297344 and -55\/336128.\nAnswer: 7730944","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -201, -96, 123, 498?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3009 = 3*i, 1058 = 3*i + 4*h - 1945. Let f = i + -675. Does 30 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -383 + 380. Let j = 17.9 + -12.9. Let q = -0.4 + -5.6. Sort b, q, j.\nAnswer: q, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/687 and 91\/90.\nAnswer: 20610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10306\/19 + 542. Let s = 283\/627 + x. Calculate the common denominator of 119\/30 and s.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392500*f + 785015*f - 392510*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-12))\/((-11)\/264))\/((-34)\/(-2))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1048)\/(-18) + (-6)\/27. Let h(l) = 16*l**3 - l**2 - l - 1. Let y be h(-2). Let d = -44 - y. What is the greatest common factor of k and d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13923457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mippmmmmh. What is prob of picking 2 m?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -1.78662168.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*t = 18, 7123*t = r + 7120*t + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2 - 24*g - 20 = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7*r = 3*g + 241064, 0 = -5*g - 40. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2084 + -2079. Solve p*t - 3*a + 29 = 0, a = 4*t - 4*a + 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 3190?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 2*g**3 + g**4 + 1 + g**3 - g**2 + 3*g as l*g**3 + x*g**4 + i*g + r*g**2 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -2738, -6450, -12084, -19892, -30126?\nAnswer: -43038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 a, and 1 v when three letters picked without replacement from evvddeddvdedefaadf?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-60)\/36)\/(-1 + 2). Let x = -13\/9 - u. Is x smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykyaqyaxqfaaayq. Give prob of picking 2 q and 1 x.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22702377 + 5?\nAnswer: -22702372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 4, w: 1, h: 6, p: 4}. Give prob of sequence th.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1212 divided by -6\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 + -5 - (-1 + -1). Suppose -q + y*q = 6. What is the smallest common multiple of 14 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212608 divided by -53152\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 153.7654ml?\nAnswer: 0.1537654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10822, 21882, 33024, 44290, 55722, 67362, 79252?\nAnswer: 91434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*v + 3 = 0, -4*v + 3*v - 8 = -2*f. Suppose -12 = f*m - 48. Is ((-90)\/m)\/((-1)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -13*i**2 - 4. Let z(j) = -40*j**2 - 11. Let n(h) = 11*f(h) - 4*z(h). Let y(a) = -a. What is n(y(u))?\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 268\/(-22) - (-4)\/22. Let k = -1\/24 + -1\/8. Calculate the common denominator of (-18)\/t*(-38)\/(-6) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17311?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*a + 109 = 0, -2*s - 5*a - 46 = -9*a. What is s rounded to the nearest integer?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.51997 millilitres to litres.\nAnswer: 0.03451997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 206240.31 milliseconds in days?\nAnswer: 0.002387040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 2, x: 1, c: 2, k: 1}. Give prob of sequence cqkc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 2 - 5 - -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-17 - -31) + 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -374 (base 13) to base 15\nAnswer: -2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (23*(-2 - -1))\/(-1). Suppose -13 = -4*b + s. Calculate the smallest common multiple of b and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*p**4 - 31*p**4 + 77*p**4 - 93 with respect to p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -554820 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1206\/8*(73868\/1062)\/313.\nAnswer: 67\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1129 + 773 = 3*y, -3*y - 2391 = -5*v. What is the greatest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042141444 (base 5) in base 13?\nAnswer: 628197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 561.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -12, -17, -22?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 2121.\nAnswer: 8484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -8*i**3 - 15*i - 3*i**3 + 5*i**3 - 16 + 14*i**3 - 7*i**3. Give t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7857 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -4*n. Let o = n + 2. Let f(j) = -5*j**3 + 6*j - 6. Let r(q) be the first derivative of q**4 - 5*q**2\/2 + 5*q + 3. What is o*r(b) + 3*f(b)?\nAnswer: b**3 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 25 = -2*b, 3*i - 297*b + 15 = -300*b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1367.99993504 + -1368. Round a to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence een when three letters picked without replacement from eennee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 2 + 2. Let h(r) = 14*r. Suppose 4*o = -25 - 3. Let n(l) = l - 4. Let q be n(o). What is q*p(m) + 4*h(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**2\/b*b**(-3\/4)*b*b\/(b**(1\/15)\/b)*b*b**4*b assuming b is positive.\nAnswer: b**(611\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135.66 - 136.66. Which is the smallest value? (a) -2\/3 (b) -107.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -4*s + 4*g - 4, -g - 2 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 4*l - 14, -5*a = 4*l - 5 - 6. Suppose -l*x + w = -2, -x + 4*w + 8 = x. What is the second derivative of -2*n + 0*n**3 + x*n**3 + n**3 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342776 * -0.005\nAnswer: -1713.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-402)\/70 + (-4)\/(-28) + 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + -522. Which is smaller: t or -637?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 348 and 1276?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:41 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*y + 280 = 0, -4*n - 118*y + 570 = -119*y. Calculate the greatest common factor of n and 3289.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 5, l: 1, z: 11}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119014379641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 c when three letters picked without replacement from yyyycyycyyy?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 145.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + (25 - ((-4 - 113) + -5 + 30)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 4, -4 in descending order.\nAnswer: 11, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*m - 6 = -7*d, 5*d - 3*m = 9. Suppose d = -3*s - 2*x - 4 - 5, 2*s + 5 = -x. Let a = s - -3. Solve h = a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.167 and 125659.\nAnswer: 125659.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56311?\nAnswer: 56311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 - 48968.\nAnswer: -48903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7 - 3*d - 6 + d**2 + 4*d - d**5. Let y(k) = k**5 - 20*k**4 + 15*k**3 + 24*k**2 - 16*k + 4. Let r(v) = -4*m(v) + y(v). Determine g so that r(g) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 + 30*w**2 + 111*w + 87. What is n(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/10 and -65\/526.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/380072 and -19\/1543520?\nAnswer: 6666462880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 242*n**4 + n**3 - n**2 + 1672*n - 6988834 wrt n.\nAnswer: 968*n**3 + 3*n**2 - 2*n + 1672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + (-596)\/(-28). Let h = i - 9. Let k be (20\/(-16))\/((-1)\/h). Solve p + k = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2228004 divided by 742668\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2*1\/(-280)). Suppose 140 = -5*z + d. What is the greatest common factor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:18 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g, 5*t + 2*g = 3*t + 8. Solve -t*p - 3*p = -5*l, -6 = l + 5*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 4 + (0 - 1). Suppose -4*v = 3*s + 56, -3*s + f*s = -2*v - 28. Which is bigger: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -38 + 95 + -17.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6576216 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n*n**(-19))))*n)\/n*n*n**(-24))\/(n**(-2)\/(n**16*n)) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1752322545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 20609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x)\/x**(-6))**(-24)*((x\/(x*(x*(x**(1\/4)\/x*x)\/x*x)\/x))**(-1\/2))**(2\/27) assuming x is positive.\nAnswer: x**(-2591\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -654673145 + -0.5?\nAnswer: -654673145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m + 124*m**2 - 60*m**2 - 65*m**2 - 10*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 5356.\nAnswer: 42848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -515 - -45. Let v = 474 + p. Which is bigger: v or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 1 + 2*u + 2 - 4*u**2 - 2. Suppose 3*n = -5*d - 16, -13*d + 17*d = 5*n - 35. What is the tens digit of j(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*i = 1, -3*t - 8 = -3*i + 1. Let g(b) = -3*b**3 - 5*b**2 + 10. Let k be g(t). Let f = k - 70. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*r + 9 = 0, -2*u - 40 + 31 = -5*r. Solve -u*q = 1 + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 522*x**5 + 73*x**3 - 58*x**2 + 53?\nAnswer: 31320*x**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 7:53 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -5. Let f = -17 + 15. Which is the closest to 2\/7? (a) i (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**30*t*t*t**(-2\/5) assuming t is positive.\nAnswer: t**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012322 - 230?\nAnswer: 1012032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5912, 5229, 4536, 3827, 3096?\n\"Answer: -s**3 + s**2 - 679*s + 6591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:12 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from sskvskkskkksk.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15288 and 20776?\nAnswer: 810264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 44*a**3 - 4 - a**3 + 4*a**2 - 4*a**2 + (3*a - 3*a - a)*(3*a**2 - a**2 - a**2) - a**3 - 3*a**2 + 3*a**2.\nAnswer: -47*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219222 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/24 + o**3\/3 - 2*o**2. Let v be m(-2). Suppose 2*h = -v*h. Which is smaller: h or 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -108*c - 3990. Calculate w(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161856 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 17472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*t + 352 + 3*t + 3*t in the form b + u*t and give b.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moemettomom. What is prob of picking 2 t and 2 o?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen quarters of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1268336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 74*p - 54*p - 104*p - 23*p.\nAnswer: -245*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**5 - i**4 + i**2 + i. Let k(l) = -12*l**5 + 7*l**4 + 11*l**3 + 15*l**2 - 75*l + 32. Let g(a) = 2*k(a) + 22*s(a). Determine z, given that g(z) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176976174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 344 + -145. Suppose 121 + h = 5*n. What is the remainder when n is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165\/30 - (-4)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5303 - 2184. What are the prime factors of j?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 1. Let k(s) = 26*s**2 + 79*s. What is t(k(f))?\nAnswer: 156*f**2 + 474*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 3, 2, 9, -1, -12.\nAnswer: -12, -1, 2, 3, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 314803966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 2\nAnswer: 110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = m + 36. Let a = -1 - -5. Solve m*s = 4*s + a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415398 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/40 - 26\/400. Let l(g) be the second derivative of 0 + 3*g - x*g**5 + 0*g**2 + 1\/75*g**6 + 1\/10*g**4 - 1\/15*g**3. Factor l(q).\nAnswer: 2*q*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17703.7359 rounded to the nearest one hundred?\nAnswer: -17700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20031321 (base 4) in base 11?\nAnswer: 23318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r - 8. Let j be 1\/4 - 367\/r. Suppose j = 8*i - 4*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 5*c + 37. Let n be i(-9). Is ((-10)\/(-3) + -3)*2103\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4238854.\nAnswer: 2, 23, 43, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l = -17*l + 4. Suppose -75600000 = 5*y - l*y. What is y rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 - 5*y + 2. Let d(j) = j**2 + 3*j - 3. Let z be d(-3). Let c = 6 + z. Let n be v(c). Calculate the highest common divisor of 21 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5417 - 1685 = -323*o - 7896 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 10785*q**3 - 566904*q**2 + 7396116*q.\nAnswer: 3*q*(q - 26)**2*(q + 3647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 223. Let x be (-1514)\/22 + 6\/(-33). Let n = x + r. Does 19 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1407*d**5 - 37*d**2 - 21 wrt d.\nAnswer: -84420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190935331, -190935345, -190935385, -190935463, -190935591?\nAnswer: -190935781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 1347. Let l(c) = -69*c. What is l(o(g))?\nAnswer: -207*g**2 - 92943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6*(26 + 4). Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-208)*(-64)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/3 - (-4)\/(-12). Let l = r + 6. Let u(b) = 2*b**3 + 4*b**2 + 4*b + 2. Calculate u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 12:44 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.9 and -7860.\nAnswer: 30654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 10*b**2 + 15*b - 2. Let s be u(-8). Let i(r) = 6*r**3 - 4*r**2 - 6*r - 14. List the prime factors of i(s).\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n + 213. Let p be g(0). Let y = 373 - p. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37048\/528 + -69 - ((-2134)\/(-84))\/11?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. Let w(p) be the first derivative of 0*p**2 - 4\/3*p**3 + 3 + 0*p. Give w(t(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 4536 - 3*i - 2797 + 7315.\nAnswer: -i - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87620854 a multiple of 6567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - n - 21, -5*q - n - 54 = -177. Suppose l = 2*l - 40. Suppose q = o - j, l = o + j + 12. Calculate the highest common factor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(9360\/(-117)))\/((2\/(-348))\/((-1)\/2)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9019.4 - 9019. Let r = -7123\/6 - -1191. Let j = r + -167\/42. Which is the second biggest value? (a) m (b) -0.6 (c) 1 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559700.\nAnswer: 2, 5, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 411, -5 in decreasing order.\nAnswer: 411, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 0\/17 + -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1316, 1866, 2782, 4064, 5712, 7726?\n\"Answer: 183*k**2 + k + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.12728 and 71.2.\nAnswer: 9.062336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612610 is divided by 748?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41560898.\nAnswer: 2, 59, 569, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -5. Suppose -298 = -5*l + h*z + 57, 2 = -2*z. What is the remainder when l is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/17, 0.11, -5, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - 33. Suppose -2 = -m*o + 11*o. Does o = -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + -1 + sqrt(320) + 0 + sqrt(320) + sqrt(320) + (sqrt(320) + (sqrt(320) - (-3 + sqrt(320))) - sqrt(320)) + -2 + sqrt(320))*2)**2.\nAnswer: -6400*sqrt(5) + 512100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 - 5*a + 5*a + (-2*a**2 + 4*a**2 - 3*a**2)*(3*a + a - a + (-1 + 1 - 2)*(-11 + 11 - 7*a)).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, d: 3, e: 4, i: 2, t: 3, o: 2}. What is prob of sequence dd?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223123131230 (base 4) in base 6?\nAnswer: 1044002512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-12\/7)*t*t*t*t**(-21)*t*t*t assuming t is positive.\nAnswer: t**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18*756\/168. Put 5, -53, v, 4 in ascending order.\nAnswer: -53, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20208*l**2 + 257*l - 492825.\nAnswer: -40416*l + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1014*g**3 - 2. Let a = 34 + -36. Let m(x) = x**3 - x**2 + x - 1. Let t(r) = a*m(r) + q(r). Let p be t(2). What is p rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10004102 - -2?\nAnswer: 10004104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.0591 (c) 12 (d) 1571\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*o**4 + 12*o**3 + 37979*o**2 - 9*o + 5310520 wrt o?\nAnswer: 60*o**2 + 72*o + 75958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47675037 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 17. Let h be o(-8). Let d be (1 + h)*42\/(-12). Let g be 2 + d\/(-5)*60\/(-35). Which is the closest to 1? (a) 2\/3 (b) 2\/7 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 72472*l\/5 + 217506.\nAnswer: -2*(l - 36251)*(l + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*t + 4449 + 15391 = 773*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 88 + -88. Suppose 3*v = -2*z + 181, 3*z - 274 = -2*v - c*v. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac7 (base 13) to base 7\nAnswer: 5255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*k - 241*k + 700. What is the least common multiple of 42 and k?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3 - 2*w**2 - 6*w - 1. Let l(g) = -g**3 + g**2 + g + 1. Let j(b) = -k(b) - 3*l(b). What is the remainder when j(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.1 - 0.1. Let t = 10.9 - m. Let z = t - 0.9. What is the second biggest value in z, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 40 = -5*s, 2*p - 56*s + 57*s = 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c - 10. Let y be (2 + 22\/(-5))*c. Let d be y\/(-20) - 24\/10. Do d and -3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.78 + 1.5. Let f = v - 1.42. Let u = 1.69991 + f. What is u rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**2 + 2*l**5 + 0*l**2 - 4*l**5 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/3809639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = i, 11*c - 16 = -4*i + 12*c. Suppose 379 + 384 = r - i*s, -1533 = -2*r + s. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/2 of a day?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 12. Let z(c) = c + 4. Let w(m) = -2*t(m) + 7*z(m). Let j be w(3). Let r(p) = 8*p + 3*p**2 - j - 2 - 2 - p**3 - 3*p. Calculate r(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjji when four letters picked without replacement from ijjsiz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51.2 + 51. Which is the closest to 0? (a) f (b) 6 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 15*t - 55. Let o be x(-7). Let s be 0\/(-4 + 10) + o + -1. Solve 0 = -5*k - s + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 6)*(1367 - 1367 - 176*c**3)*(-2 - 1 + 3*c + 4).\nAnswer: -2640*c**4 - 880*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - 304\/26. Let n = 6540\/1391 + -1\/107. Let p = k + n. Find the common denominator of p and -7\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**9\/15120 + v**8\/1680 - v**7\/504 + v**6\/360 - v**4\/12 + v**2. Let c(m) be the second derivative of d(m). Factor c(w).\nAnswer: -w*(w - 2)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-6) - 58\/4. Let y = w - -9. Let r = 13 + y. What is the highest common factor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251753 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-25))\/((90\/60)\/(15\/(-4)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*j + 3*q + 11, -j + 13 = 4*q. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7872470786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 1:37 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*m + l + 4, 2*m = -2*l - 4. Is -3 + (-62)\/m + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 252*i - 5299. Give t(17).\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/6 + 41917*b**2\/6 - 83828*b\/3 + 27942 = 0?\nAnswer: 2, 41913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26065 or 26064?\nAnswer: 26064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2104 + 2419. What is the remainder when q is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3de06 (base 16) to base 13\nAnswer: -8b48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 4*p = -948, -1145 = -5*m - 3*p. What is the greatest common factor of m and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.7 - -10.8. What is the smallest value in -28, -5, k?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnun when four letters picked without replacement from nnunuuunnnuununn?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-35))\/((-1)\/(-2)))\/(192\/448).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cigfwqqi. Give prob of sequence qg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000973 to seven dps.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 742 - 679. Suppose -b*a = -72*a + 45. Solve 2*i = 5*z + 5, -2 = z - a*i - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-162)\/(-10) + 7\/(-35). What is the remainder when 101 is divided by -4 - c\/(-4) - -37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 401032 + 2*s**2 + 400249 + 6*s in the form k*s**2 + t + c*s and give t.\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))*-6 - sqrt(3))*1.\nAnswer: -7*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 y when three letters picked without replacement from yyyfyxfyyy.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 714 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {z: 2, i: 2, o: 2, c: 1, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 7. Suppose 4*k + 6 = -0*a + a, 12 = 2*a - k. Let x be 3\/(1*a)*0. Suppose -m = 5 - x. Calculate t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (304\/(-95))\/8*-10. Sort s, -177, -3, 1, 5 in descending order.\nAnswer: 5, s, 1, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*p = 13, 5*d + 5*p - 47 = 3*p. Suppose b + t = 2*t + 3, -3*t + d = 0. Suppose -3*s = b + 9. Let h(l) = l - 2. Give h(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 + 5. Let w be 4 + (-9 - 1) - -13. Calculate q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20.5 - -18.56. Let y = j + -0.06. Let i be (-14)\/(-36) - 4\/8. What is the nearest to -1\/4 in 3, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2797460672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 25080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.3, -11, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -272.9. Let z = -0.37 + 0.07. Sort z, s, -3.\nAnswer: -3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -4 + 66 - (0 - 5)) + -11 + 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37*(-1428)\/(-4662) - (-24)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28434 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 0.793, 7, -0.5 in ascending order.\nAnswer: -4, -0.5, 0.793, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13117306 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269 + 274. Suppose 3*m - 30865 = -2*r + 1398, 0 = -3*m - t*r + 32278. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - (-8 - (2 + -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 3. Let c be x(-7). Suppose 8*z - 3*z = 5*r - c, 10 = r + 3*z. Let s = -22 + 25. Solve p + f = 1, s*p + f = -r*f + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.4 (c) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**19\/(j**(3\/5)\/(j*j*j*j**(-1)*j)) assuming j is positive.\nAnswer: j**(274\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m**3 - 2*m + 2*m.\nAnswer: 57*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/6)\/(8\/12). Let t = -5 - r. Let x be (-11)\/33*-15 + (-14)\/2. Sort t, x, -4 in ascending order.\nAnswer: t, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, -4379982 in increasing order.\nAnswer: -4379982, -19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.7 - 14. Let y = -0.7 - -0.3. Let s = 0.02 + -4.02. Put s, t, y in decreasing order.\nAnswer: t, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 - 9*f + 1 - f**2 - f**2 + 9*f as u + h*f**3 + v*f + a*f**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14125*j**5 - 2*j**4 - 2507271*j + 1 wrt j?\nAnswer: 282500*j**3 - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 5, -3727.\nAnswer: -3727, -15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 36 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174100, 4, 5, -1.\nAnswer: -1, 4, 5, 174100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w**2 + 311*w + 65. Determine z(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000019700357 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3242 + 3242 + 7*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 6 - 32\/12. Solve f + 2*a**4 - 10\/3*a**2 + 2\/3*a**3 - 2\/3*a = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (21\/(-56)*4)\/(6 - 4250\/708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 16*t**2 + 21*t**2 - 89*t**2 - 68*t**2.\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 0.4, 3, -2\/5, -56?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 328*k**3 + k**2 + 23. Let w(a) = -1315*a**3 - a**2 - 91. Let o(p) = 9*h(p) + 2*w(p). Find the third derivative of o(z) wrt z.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2718273 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 11*h**2 + 12*h + 23. Let a(k) = -9*k**3 - 5*k**2 + 12*k - 8. Let r be a(1). Calculate l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3701, 3727, 3741, 3737, 3709, 3651, 3557?\n\"Answer: -l**3 + 33*l + 3669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-28) - (-120)\/84. Solve 4*h = 5*n - 6, 0*n + r*h + 10 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -208, -533, -1120, -2053, -3416, -5293?\nAnswer: -7768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (22\/44)\/(1\/4) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 5*x + 3. Let n(k) be the first derivative of -2*k**3\/3 - 3*k**2 + 4*k - 7259. What is -6*i(j) + 5*n(j)?\nAnswer: -4*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 37. Let k = 162 - 157. Sort x, 2, -2, k in increasing order.\nAnswer: -2, 2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.857444 and -14.\nAnswer: -8.142556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10016 is divided by 1120.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1526 + 1031. Let l = 825 + i. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 245d?\nAnswer: -244e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.6 + -1.77. Let j = p + -0.03. Let w = 0.155 + j. Round w to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18295227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(1\/9)*h)*h**(-3)*(h*(h\/((h\/(h*h*h**(-8)))\/h))\/h)\/(h*h**(2\/11)*h) assuming h is positive.\nAnswer: h**(-1118\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 854666075 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + ((-2*(sqrt(400) - (sqrt(400) - (sqrt(400) - (sqrt(400) + sqrt(400)*2 + sqrt(400))))))\/sqrt(8))\/(sqrt(250)*-1*5 + sqrt(250))).\nAnswer: 9*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -570768*z**2 + 1141533*z + 6.\nAnswer: -3*(z - 2)*(190256*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from azbnnzlag.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10435120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 4*k - 9. Let a(w) be the third derivative of -w**5\/60 - w**4\/12 + 5*w**3\/6 - 6*w**2. What is -5*a(d) - 3*n(d)?\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -57\/8 - 3\/8*i**2 - 15\/2*i = 0. What is i?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmujjujjth. Give prob of picking 2 u and 2 t.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -4. Suppose -4*g = -2*h - 4, -g - 133 + 170 = 4*h. Calculate the remainder when h is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16451*w**3 - 2 - 8223*w**3 + 0 - 8204*w**3 + 2.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/3, -100, -1\/7, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 + 990*i - 535815 = 0.\nAnswer: -441, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 63.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000) - 2*sqrt(2000))\/(2*sqrt(360) - sqrt(360)).\nAnswer: -5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 32*m. Let w(c) = 5*c**2 + 7*c - 176. Let j(h) = 3*h**2 + 4*h - 99. Let z(s) = -7*j(s) + 4*w(s). Give f(z(g)).\nAnswer: -32*g**2 - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136506 and -2.9.\nAnswer: -395867.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 2*b. Let a be c(4). Let s = -47 + 44. Put s, a, 1 in increasing order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -45. Suppose 24 + 84 = -3*f. Let m = f - v. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 6*p = -8*p + 2376. What is the highest common factor of p and 968?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 2\/19 (b) 1\/4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57182627, 57182634, 57182643, 57182654, 57182667, 57182682?\n\"Answer: y**2 + 4*y + 57182622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*w + 3*h - 4, 4*h - 12 = 0. Let c = 4 - w. Suppose c*o + 720 = 7*o. What is the greatest common factor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.8, -1\/6, -0.9 in decreasing order.\nAnswer: -1\/6, -0.2, -0.8, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1700*c - 1516 = -1605*c - 91 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 0 (c) -6 (d) -1 (e) -2\/1147 (f) -201\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-4*8\/16. Let t be (-108882)\/(-45) - d\/5. What is t rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -62. Which is the nearest to 2\/7? (a) 2\/21 (b) j (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85.55 - -85.74. What is the biggest value in -1\/11, 0.4, -5, -2\/5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, 488, 1, 0.27.\nAnswer: -157, 0.27, 1, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 6 + 7 + 9 - 6*i in the form m*i + g and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*5 - 3. Let l(q) = q - 9 + 10 + 5*q**s + 4*q**2. Let r be (58 - 59)\/(1 + (1 - 1)). What is l(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455257*b**2 + 455338*b**2 - b**3 - 910595*b**2.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**4*r**(2\/13))\/(((r\/r**(-1\/4))\/r)\/r)**19)**0 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13242459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5687*j**2 - 14*j + 0*j + 5679*j**2)*(0*j + 6*j - 9*j) to h*j**3 + o*j + z + r*j**2 and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 26. Let m be w(10). Let p = -44 + m. Is p less than 22\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -29*a**6\/30 - 7*a**2 + 28*a. What is the derivative of f(g) wrt g?\nAnswer: -116*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 take away 813?\nAnswer: -775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37017024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/21)\/(36\/98)*(-759)\/253\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 8*m - 8. Let u be l(2). Solve -u*s = -3*p + 9, 4*p + 3*s = -10 - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14198054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 5*f**2 + 5*f + 5. Let v be 0 - -24 - (-6)\/(-18)*0. Let s be (-26)\/6 + (-16)\/v. Let x(u) = 3*u**3 - 6*u**2 + 6*u + 6. Give s*x(z) + 6*m(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 1. Suppose 19 = 3*n + j, 3*j + 7 = 3*n + 4. Suppose -2*g - 3*h - h = 4, -n*g + h = -34. Let y(p) = -2*p**2 - 2. What is g*y(d) - 10*m(d)?\nAnswer: -2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 502 - 315. Let g = m + 210. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*w - 81 = -152*w. Let a(q) = -15*q - 1. Let t be a(-2). Solve w*y + 0*i + 27 = -3*i, 5*y + i = -t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/7961573 and -49\/169998.\nAnswer: 47769438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2583 = 350*i - 227*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/10*w**2 + 0 + 1\/10*w.\nAnswer: w*(w + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/38 and -11\/475.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, b: 8, c: 3}. What is prob of picking 2 b?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 26) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.05 - 7. Suppose g - 20 = -34. Is g > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 63960?\nAnswer: 127920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1695 and 43\/1823045.\nAnswer: 618012255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*v - 5 = 2*p + 384*v, 0 = -3*p + v + 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 16. Let b be x(5). Suppose 5*w - 5 = 0, 4*w + w + 11 = 4*g. Sort g, b, 0 in descending order.\nAnswer: g, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) -2 (c) -0.08 (d) -0.4686\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*m + 263*m - 6953 - 20435 = 0 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48174733.03381129 + -0.96618871. Let t = 48174891.999605 + x. Let d = -158 + t. Round d to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.419764391 to two dps.\nAnswer: -5.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 44 = 8. Calculate the remainder when 78 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 4*y**3 + 0*y**3 + y - 2*y. Let r(z) = -8*z**3 - z**2 + 4*z. Suppose 27*p = 5*x + 21*p - 13, -3*x + 12 = -5*p. Give x*r(j) - 6*v(j).\nAnswer: 2*j**3 + j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 15 - 10 - 22*g.\nAnswer: -22*g - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 3710*h - 96525.\nAnswer: -5*(h + 27)*(h + 715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1875662 to the power of 1\/2, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2157 times 1651\nAnswer: 356.1207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6.3. Let c be (2\/(-1))\/(12\/(-9)). What is the nearest to 0 in t, -4, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/120 + 2*t**5\/15 - t**4\/4 + 8*t**3\/3 + 2459*t**2. What is s(6)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 217*r**2 + 2*r - 1. Let l be a(1). Let h = l - 152. What is the remainder when h is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245863?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(2*q - q - 6*q) + (2 + q - 2)*(-3 + 3 + 4) + (-1 + 2 - 3)*(0*q - 2*q + q) - 4*q - 3 + 3 to the form n + z*q and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of 2*x + 34\/3*x**4 + 0 + 2*x**2 - 1\/3*x**3. Calculate the remainder when k(1) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -19, -22, -27?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.680511 millilitres in litres?\nAnswer: 0.006680511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, -4, -3, -1.242.\nAnswer: -4, -3, -1.242, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-21)\/2) + 372\/21. Let y = g - 13. Suppose -3*d - y*r + 2*r = -3, 2*d = 3*r + 17. What is the highest common factor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 - 380 = -6*a. Suppose -90*v - 450000 = -a*v. What is v rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*b - 16*b + 24*b)*(-4*b + 8*b + 0*b).\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + -5 + -27 - 102.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 5259.\nAnswer: -8\/5259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/93 in 0.4, 2\/25, 0.2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) -0.1 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, -30, -45, -541, 1 in decreasing order.\nAnswer: 1, -5, -15, -30, -45, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*k - 397*k - 274*k + 8302 + 30261 = 0 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 3*h**2 - 2*h + 3. Let x be g(0). Let i(c) = -c**3 - 14*c**2 - 13*c + 2. Let q be i(-13). Solve 25 = -5*y, 0 = -s + x*y + q*y + 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4328469?\nAnswer: 3, 480941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 7*a + 7*a - 6. Let c(i) = i**2 - 46*i + 87. Let p be c(2). Let f(r) = -r. Calculate p*l(y) - 6*f(y).\nAnswer: -2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 8 = d. Let a = 2 - 7. What is the third biggest value in -0.1, a, d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 237 = j. Suppose -4*f + j = -f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840\/(-48)*(-47)\/(6580\/(-640))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 0, -11, -24, -39?\n\"Answer: -c**2 - 8*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + 1*sqrt(486)*-2 - ((sqrt(486) - -2*sqrt(486))*4 - sqrt(486)))\/(sqrt(16)\/(sqrt(8)*-2) + (sqrt(144)\/sqrt(6))\/sqrt(12)).\nAnswer: -216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*l + 106*l - 5945 = 5*s, s = 3*l - 3573. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -671 - -670. Suppose 129 = 6*w + 105. Sort 3, d, 29, w in decreasing order.\nAnswer: 29, w, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 8*x**2 + 8*x + 12. Suppose -21 = -10*p + 69. Let d be j(p). Solve -m + d = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 18. Let f = -14.3 - h. Let s = 0.2 + 1.8. What is the nearest to -1 in 2\/7, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103*p - 31 + 195*p - 39 wrt p.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 17*l + 174 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2328)\/(-3780) - 154\/3465?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbvhbbhbp. What is prob of sequence bhpv?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321112670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 - 10*c**3 - 2*c**3 + (7*c**3 - 2*c**3 - 4*c**3)*(-3 + 0 + 1) - 2*c**3 - 4*c**3 + 5*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49875 and 20615?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -19, 1\/2, 2, 12\/13, 1, 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (630\/(-20))\/3*(-6)\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 22*r + 55. Let p be t(24). Suppose 4*z - 27 = -p. Solve v = -o + z*v + 5, 1 = 3*o + 2*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/1 + 5\/(-5). Let j be ((-2)\/(-1) - 1) + 0. List the prime factors of (-3)\/o*22 - j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqquuqqqqq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 34 = 2*c, 3*c - 30951 + 30809 = 5*p for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 16 = 4*b, 32*g + 10 = 4*b + 27*g. Solve 0*a - 4*a = -4*l - 16, 0 = 5*l - b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*b + 2*k + 12, -5*b + 7 = -3*k. Let s be (-2 - 1) + (-12)\/b. Solve 3*i - 6*i = -s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnmnnmnnnnnnnnnnnni. What is prob of picking 1 i, 1 n, and 2 m?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -140515 and 1.6.\nAnswer: -140513.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 666467 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwe when three letters picked without replacement from ewwnnwwvwwwwvwne?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2052\/513*((-1)\/(-2))\/((-4)\/(-76)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876003, 876004, 876005, 876006?\nAnswer: 876007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5554, -7231, -8910, -10591, -12274, -13959?\nAnswer: -15646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 688117*h**5 - 166085*h + 1 wrt h?\nAnswer: 13762340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5351*m**2 + 259*m - 242. Let t be h(74). Round t to the nearest 100000.\nAnswer: 29300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47906181 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3848 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 6476418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k + 5899 = -264*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 14*d + 49. Determine j(8).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**7\/42 + c**6\/15 - c**4\/6 - c**3\/6 + c. Find v, given that q(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgaf. Give prob of sequence ga.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/4619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1753 - -0.1053. Which is the second biggest value? (a) 1 (b) -4 (c) -2 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 62 = 4*v, -9278*o - 2*v - 20 = -9277*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:27 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2046, -16503, -55728, -132105, -258018, -445851?\nAnswer: -707988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -72, -1\/2, -1 in ascending order.\nAnswer: -72, -1, -1\/2, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54.8268 - 55. What is a rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*v - 16, 7*n - 4*n = 5*v - 4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 105. Let s = w - -429. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -156 (b) -52 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -48*d + 275. Calculate the highest common factor of 25 and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -13, -28, -47, -70?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -75, 73\/3?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11147640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 0*r + 133*r**2 - 3 - 135*r**2 - 10*r. Let s be f(-4). Let x be (24\/(-14))\/(3 + 92\/(-28)). Is x greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 13*u - 4. Let s be w(13). Is -5 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h + 2*y + 30 = -75*h, h + 5*y = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -17 + 27 + -8 + -26\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a microgram in nanograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21518954 + 46*w**3 + 21518954.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228335924.\nAnswer: 2, 57083981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 2*m + 3. Let i be y(1). Which is greater: 17\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/471478 and 63\/1415?\nAnswer: 2357390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-8))**(-7))**(-1\/77) assuming g is positive.\nAnswer: g**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose 0 = -2*n + j*z - 15, 0*z = -n - 5*z + 15. Let b be -3 + 5 + 4 + n. Solve 4*x - b*x = 3*w - 15, 3*w + 3*x - 15 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 505.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/90)\/((-162)\/(-135))*-6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-175) + (-2)\/7. Which is the biggest value? (a) 3 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - 354\/(-18). Calculate the highest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 5*l + 5, -m + 11*l + 2 = 13*l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 3)\/(0 + -3 + 0). Suppose 3*u + 3*r = 1815, 4*u - 25*r + 22*r - 2413 = t. List the prime factors of u.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4248 or -4252?\nAnswer: -4248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1611637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1540*l**2 + 55*l. Let c(h) = 57*h**2 + 2*h. What is 55*c(v) - 2*d(v)?\nAnswer: 55*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*z - 16, 3*z = 5*o - 30. Suppose 3*b + o = -3*t + t, 0 = 2*t + 4*b + 10. Let s = 33 + t. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1476306 and 328068.\nAnswer: 2952612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*n - 16 = n, x + 10 = -3*n. Suppose 5*u = x*u - 3. Let k = -610\/3 - -204. Which is the closest to u? (a) k (b) -8 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 0*y**2 + y**2. Let t(p) be the third derivative of p**5\/60 + 12*p**2 - 15. What is f(t(u))?\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000519886 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 440 = -5*s, q = s + 2*s - 272. Let d = 173 - s. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.8 + -32. Let x = c + -4.8. Let m = x - -9.1. Sort m, 2\/3, -1 in decreasing order.\nAnswer: 2\/3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 18416 - 18388 = -2*f, 60*y + 3*f = -897 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**3 + 0*d**2 + 0 - 9*d - 1\/6*d**4. Let r(j) = 17*j**2. What is r(m(b))?\nAnswer: 68*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -200*m - 188. Give l(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -112200200022000 (base 3) to base 2\nAnswer: -11101110010001100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 25*s + 8. Which is the closest to s? (a) 1\/3 (b) 0.2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3574326 - 0.35222. Round s to 4 decimal places.\nAnswer: 0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856546693 to the power of 1\/2, to the nearest integer?\nAnswer: 62101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 14. Let w = 2391 + -2284. What is the remainder when w is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 79. Factor 6*a**3 - 3\/2*a**4 + u*a - 15\/2*a**2 + 0.\nAnswer: -3*a*(a - 2)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aba5491 - b?\nAnswer: aba5483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43899*g**6*u**2 + 2*g**2*u + 4377*g*u**2 + u**2 + 2*u wrt g?\nAnswer: -5267880*g**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42517 divided by 7\nAnswer: -42517\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/1925*4 - (-148)\/518.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 16, 4*q + 5*r - 16 = 24. Suppose -3*n + 58 = 4*x - 0*n, -4*x = q*n - 54. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 10.3208t?\nAnswer: 10320.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 39*d**2 + 1 - 28*d**2 - 17*d**2 - 5. Let n(g) = -6*g**2 - 5. What is -4*n(r) + 5*v(r)?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*1*-3*sqrt(84))\/((sqrt(192)*-3 + sqrt(192))*-6)*5)**2.\nAnswer: 15*sqrt(7)\/2 + 1831\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f + 34. Let o be l(9). Suppose -4*d - 24 = -o*d. Suppose -d*p - 97 = -9*p. What are the prime factors of p?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 217 - 745 = 0. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdssssdsssssssssssss. Give prob of sequence ddss.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + w - 3 + 5*w + (-7 - 4*w + 7)*(5 - 2 - 1) to the form q*w + u and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 71946 and 14?\nAnswer: 71946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {x: 1, q: 3, d: 5, u: 3, a: 1, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-546))\/(10\/(-6)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -261541*f**2 + 6 + 261544*f**2 + 1 + 0*f**3 - 5*f**4 + 2*f**3 - 2*f**4 to p*f**2 + d*f + t + l*f**3 + w*f**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 - 62. Suppose -127*f + 116*f - 275 = 0. Let c = x - f. Let l(d) = -15*d**3 - 1. Determine l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 26*o - 5. Let x be (-20)\/(-70) + 8\/(-28) - 2. Let k(d) = 5*d - 1. Determine x*p(f) + 11*k(f).\nAnswer: 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s + 1089 = -6*s. Let d be -3 + (6698923\/s - (-2)\/3). What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.3576831 to one decimal place.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 57*f**2 - 9070 + 9070)*(4*f + 3*f + 2*f) + 3*f**4 - 9*f**4 - 2*f**4.\nAnswer: -17*f**4 + 513*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*q - 313*q - 1295 = 0. Calculate the remainder when q is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2409 and 1095.\nAnswer: 12045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 6*u + 7. Let y(i) = 2*i**2 + 5*i - 6. Calculate 4*n(j) + 5*y(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 12. Let k be g(-11). Let v be (4 - 7)\/(0 - k). Let b be v\/((-12)\/100) + -1. What is the greatest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 12:03 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2298.\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1\/82, -1, 1?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*v = -3*t + 16, t + 2 = -4*v. Let x be ((-1274)\/6)\/(420\/(-72) + t). Round x to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(272) + ((0 + sqrt(272))*-6)**2)*-5 + sqrt(272) + 2*sqrt(272)*-4 + -1 + sqrt(272)*-1.\nAnswer: -48970 - 52*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 74961 divided by -5\nAnswer: -74961\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32224 and 28196.\nAnswer: 225568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 2*w - 2, -315 = 5*d - w - 328 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**5\/2 + 6*k**2 - k. Let v be (54\/36)\/((-6)\/(-20)). Let j(w) = 2*w**3 + 2*w**3 - 5 - 8*w**3. What is v*o(x) + 12*j(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42024*b**3 + 43467 wrt b.\nAnswer: 126072*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - -352c779?\nAnswer: 352c797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 4 - 4 + 2*v - 3*v + 3*v + (3*v - 2*v - 2*v)*(4 + 0 - 3) - v + 3*v - v + 3*v - 2*v + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 5, 2\/13, -8, -0.04, -2\/2069?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 99088180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -706, 8\/319?\nAnswer: -706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o + 58. Let u be b(5). Suppose 5*f = 4*r + 102, -5 = -u*f + 5*r + 64. Let x(w) = -4*w - 19*w + f*w. Let d(n) = -4*n**2. Give x(d(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 42*a**2 + 240*a - 191. What is x(11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 160.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 1. Let r(j) = j**3 + 29*j**2 + 16*j + 6. Give 6*i(q) + r(q).\nAnswer: q**3 + 29*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1867.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/90 - 73*z**4\/36 + 92*z**3\/3 - 461*z**2 - 4. Suppose m(d) = 0. What is d?\nAnswer: 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 0. Let b(k) = 4*k**3 + 2*k**2 + 7*k + 7. Let p(g) = g**3 - g**2 + g + 1. Let d(m) = b(m) - 3*p(m). Let q be d(i). Let f(y) = 2*y - 2. What is f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21 + 3)\/3*1. Suppose 0 = b*n - 5*n - 12. Let x(p) = 2*p**2 - 3*p. Calculate the lowest common multiple of n and x(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -8, -20, -48, -98, -176, -288?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -34, -36, -38, -40, -42?\n\"Answer: -2*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 6:10 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 4*q + 3. Calculate p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10936752 is divided by 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9290.5 - -9291. Which is the biggest value? (a) -2\/15 (b) 4 (c) j (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38027*k**3*t**3 + 5*k**2*t**2 + 46*k**2 - 4*k*t**3 - 4*t**2 wrt k.\nAnswer: -228162*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 6707383 - 6707383.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -0*x - 3*x. Let u = 40 + -59. Let z = u + x. Which is greater: 10 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898355 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.759293 minutes in milliseconds?\nAnswer: 525557.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006397822 rounded to 4 decimal places?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -24375 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 444 - -13296a?\nAnswer: 133303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2485*m + 38243 + 36307 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 4\/17 (c) -130 (d) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4956 and 76\/2655?\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Let k = 23 - 26. What is the nearest to 0 in 5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-170))\/(138\/26979)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*k - 16 = -4, 4*m - 5*k + 7 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2 + 4. Suppose 5*x - 3*s - 110 = 0, -x + 2*s + 32 = n. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49136703.\nAnswer: 3, 7, 11, 37, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.5042 (b) 0.4 (c) -1\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 7. Let p be t(11). Suppose -3*g = 2*n - 1, -n - 4*g = -p*n + 10. Let v be (-2 + 20\/12)*-3. Solve -v = -n*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*p = 41310 - 10144, 0 = i + 4*p - 7814. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110175 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a6975 (base 12) to base 10.\nAnswer: -716777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -3*p**6\/2 + 8*p**5 - p**4\/2 + 4*p**3\/3 + 287*p**2 + 2966. Find the third derivative of h(a) wrt a.\nAnswer: -540*a**2 + 960*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(684))*2 - sqrt(684) - (-4 + (-3 + sqrt(931))**2)).\nAnswer: -240*sqrt(19) + 4660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 44079*z + 44079*z.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 4686689135.\nAnswer: -4686689129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - 3) - -1 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Suppose -h*c - 3 = -7. Solve c*g + 2*g = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118707 by -39569.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 876, 883, 888, 891, 892?\n\"Answer: -r**2 + 10*r + 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -212, -211, -210, -209, -208?\n\"Answer: c - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16818 - -28396. What are the prime factors of u?\nAnswer: 2, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 153*a**2 - 102*a + 104. Let q be v(1). What is the highest common factor of 1798 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15026 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 561079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t + 191. Determine w(18).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + n**3 + 0*n**3 - 4*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inij when four letters picked without replacement from ennjieeiih.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2592 and 2.\nAnswer: 2.2592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 3. Let r(c) = -2*c + 7. Let l(j) = 2*r(j) + 5*u(j). Give l(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttttsst.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67432, 67465, 67500, 67537, 67576, 67617?\nAnswer: 67660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6346 + 3?\nAnswer: 6350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-1425)\/(-110))\/((-61)\/89914)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 533 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/7)*k*k**(-1)*(k**0*k)**(-18\/13) assuming k is positive.\nAnswer: k**(-9\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scsc when four letters picked without replacement from {s: 2, c: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.6 and -0.04.\nAnswer: -3.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -207\/13 (b) -0.4 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175171432082454 take away -1?\nAnswer: 175171432082455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 - 74 + 18*q)*(-2*q + 9*q + 2*q) in the form u + c*q**2 + i*q and give c.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p - 9. Let l be x(-7). Let o be l - -6*3\/(-6). Let i be 22\/20 + (-2)\/(-5). Which is the second smallest value? (a) o (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, y: 5}. Give prob of picking 1 y and 1 t.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + s - s + (4 - 6 + 4)*(-34*s + 18*s + 51*s) to l*s + j and give l.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 7*l**2 + 6*l - 1. Let n be y(-6). Let m be (n\/1 - 2)\/(-1). Let h be 7 - m\/(-9)*-3. Solve -b + 3*b = -3*x + 10, 5*x = 2*b + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 3, x: 5, k: 2, b: 1}. Give prob of sequence kbdd.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) -19 (c) 2 (d) -2 (e) 0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 36 = 4*c. Let u = -9 + c. Calculate the lowest common multiple of 2 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 5*x - 3. Let f be c(6). Suppose 0 = f*y + y. Let h = 7 + y. Solve h = 3*m + 5*a, -2*m - 3*a = -8*a + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284+0.8\nAnswer: 284.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18998 is divided by 605?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16028282 to the nearest integer?\nAnswer: 4004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2 + 1. Suppose -6*x + 14 = 2. Let r = p + x. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Let h = -1.1 - -1. Let m = 33 - 33.3. Which is the nearest to 1? (a) m (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-15)\/6)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from mzzzjzzvzgzzzjjzhmv?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/10 - (-3)\/5. Let k = 0.2 + 0.2. Let t be (-645)\/45 + 22 + -8. Which is the closest to t? (a) g (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n - 17 + 15*n**2 - 5*n + 3*n. Let m be p(-15). Let g be (m - (2 + -3)) + 4. Solve -g*x = -5*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -15*a**2 + a - 3. What is s(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844935753?\nAnswer: 3, 1913, 147227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-18)\/63 + (-80327)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -1 (c) -4 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = 11. Let n = a + -17. Solve -5*v + 9 = y, -2*v + y = 4*y - n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - 2*s - 4. Let x be j(4). Suppose -2*o + 2 = -x*p + 4, 0 = -2*o + 2*p. Solve 4 = z - o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j - 37. Let z be k(10). Suppose 9*v = 14*v - 2*a - 470, 0 = 2*v + z*a - 207. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -d - 232, 2*d - 299 = -3*q - 70. What is the third derivative of -70*b**2 - q*b**2 - 2*b**6 + b**5 + b**5 + 9 + 146*b**2 wrt b?\nAnswer: -240*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + -5 - -5 - -13)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*r - 3 - 7, 0 = -3*r + 9. Put -5, 38, 10, -3, x in ascending order.\nAnswer: -5, -3, x, 10, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:54 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -2, -0.22, 1, 0.3, 12, -427?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 710*h**2 - 2864*h + 2872 = 0. What is h?\nAnswer: -359, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 + 129*d - 946. What is the lowest common multiple of j(8) and 14?\nAnswer: 8666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1625345\/3745304 + 4\/27539. What is the common denominator of 43\/28 and t?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from {i: 1, r: 3, a: 2, b: 4, f: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 1:57 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*f = -19, 2*d - f = 3*f + 2. Let i be 3\/((-3)\/d) + -3. Suppose 4*z = -16, 0*j = -i*j + z + 36. Calculate the greatest common factor of 24 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 145 + 46 + 3*t - 199 to y + p*t and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h. Let f(j) be the first derivative of 7*j**2 - 22. Determine f(x(b)).\nAnswer: 28*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -480*z**4 + z**2 - z**3 + 232*z**4 + 237*z**4 - 4*z to p*z + b + a*z**4 + m*z**3 + h*z**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15087 plus -1.82?\nAnswer: 15085.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 160, 228, 326, 460?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 366913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686 + 679 - 3414 + 687 + 681 + 681 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or -24771.2?\nAnswer: -24771.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*d - 2792, 2*d = 5*f - 2*f - 1863. Let q = -96 + d. What is the hundreds digit of q\/6*(-2 + (-12)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13396 and 12?\nAnswer: 160752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 5*p - 72534 = 0. Is p\/6 - 1*(-6)\/4 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*a - 628897, a - 56867 = 8*g - 1063077. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-371)\/(-21) - (-1)\/3. Let p be (-126)\/(-4) - (-2)\/4. Suppose p = 5*c - q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3221391?\nAnswer: 3, 577, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/24 + 15\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(10)\/sqrt(5))*2 - sqrt(22)\/(sqrt(66)\/(sqrt(384) + sqrt(6) + sqrt(6))).\nAnswer: -8*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.19 + 4.09. Which is smaller: q or 22?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, z: 1, p: 1, v: 1, s: 4}. Give prob of picking 2 s and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 4:30 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*f = -1, 13 = b + 7*f - 3*f. Suppose -b*d = -4*d - 19. Find the first derivative of -3 + d*t**3 - 8*t**3 - 12*t**3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24574172 by -28.\nAnswer: -877649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*a**4 + 24*a**2 - a.\nAnswer: 2064*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15353, 30698, 46035, 61364?\nAnswer: 76685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -206334 divided by 59\nAnswer: -206334\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/7))**(2\/63))**(2\/11)\/(y**(3\/5)*y\/y**(-2\/7)*(y**(1\/3))**15) assuming y is positive.\nAnswer: y**(-166973\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -2*n - 4*u, -5064*n + 5078*n - 130 = -5*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 + 12.4. Which is the nearest to 2? (a) u (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 9. Let d(p) = 4*p - 27. Let h(n) = 7*b(n) + 2*d(n). Let o be h(-8). Let u be (-1)\/2*(o - 1). Solve 0 = -u*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j - 5*j + 10*j + (3*j + 3*j - 4*j)*(2 - 2 - 1).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215451104 to the nearest integer?\nAnswer: 14678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3, 2, -8\/19 in ascending order.\nAnswer: -3, -8\/19, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*l + 62*l + 4*l**3 - l**3 - 2*l**3 - 1 as s*l + t + p*l**2 + d*l**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8902 - 3173 = 0. Suppose 25*w + g = 40*w. What are the prime factors of w?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58657 or -1818378\/31?\nAnswer: -58657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2233, 4431, 6533, 8491, 10257, 11783, 13021, 13923?\n\"Answer: -8*g**3 + 2254*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*c**2 - 54*c**2 - 2*c + 0*c)*(-21*c - 15*c - 10*c).\nAnswer: 276*c**3 + 92*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -623*u**2 + 633*u - 852229 with respect to u.\nAnswer: -1246*u + 633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 5*s + 825. Calculate the greatest common divisor of 110 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 28*y + y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-5*q + 5*q - 7*q + (-2*q - q + q)*(-7 - 4 - 13) - q + 1 - 1) to the form r*q + z and give r.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1247 and 516.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*k - 1172*k**3 - 339*k - 477*k**3 - 1196*k**3 + 430*k.\nAnswer: -2845*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d + 12. Let q = d - -7. Suppose 6 = q*g - 2. Which is the third biggest value? (a) 3 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-35) - 15\/(-25). Which is the closest to -0.1? (a) n (b) 5 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 979 or 722?\nAnswer: 979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388010 and 1771.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17815679 is divided by 107323.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4240 (base 7) in base 14?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 139\/26 - (2 - 3). Let s = h + -13\/2. Let z = 3276 - 3277. Is s at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.02 (b) -5 (c) -6\/35 (d) 2\/3 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 339\/103321 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7200*h + 3650*h + 3559*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - o - 13 = 0, -r - 2*r + 44 = 2*o. Let y = 4 - -27. Let q = y - r. Solve s = v + 2*v - q, 3*s - 4 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -30. Let z be m*(-2 - -12)\/(-5). Let p(h) = 10*h - z*h - 21*h. Calculate p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 + 130. Let l(i) be the third derivative of -4*i**2 - 1\/24*i**4 + f + 0*i + 0*i**3. Let b(p) = -2*p**2. Determine l(b(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-138)*2)\/(-3*38\/24624*-24).\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1216.5849 less than 82.46?\nAnswer: 1299.0449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:13 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*s + 2*s - 11*s**4 + 14*s**4 - 13 + 3*s + 2*s**2 to j*s**4 + i*s**3 + f*s + v*s**2 + x and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.596045024 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 35*n**2 + 34 - 13*n**2 - 25.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5 - 46*f**4 - 42*f**3 + 140*f**2 + 227*f + 90 = 0. What is f?\nAnswer: -45, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 682?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 35*b**6\/6 - 33*b**5 + 55*b**4\/4 + 205*b**3\/3 - 45*b**2 - 40*b - 40. What is y in r(y) = 0?\nAnswer: -1, -2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1135, 9216, 31335, 74506, 145743, 252060?\nAnswer: 400471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 = -3*o, 5*h = 14*o - 16*o - 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 21*a**2 - 20*a + 43. Let i be q(-22). Let m(y) = -26*y**3 - y**2 - 3*y - 2. Is 13 a factor of m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581\/(-20) + (-1)\/(-4) - 3648\/18240?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -491324578214 and 67.3.\nAnswer: -491324578146.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 140.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49626.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500) - sqrt(3500)*2 - sqrt(3500)) + sqrt(35))\/(sqrt(45)*-2 - sqrt(45)).\nAnswer: 19*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34 + 26*v - v**2 - 72 - 4*v. Let o be a(20). Solve -o*w = m + 2, m + 3*m - 4*w + 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 2*a**2 + 4*a**2)*(34 + 29 + 5) in the form p*a**2 + b + r*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2004368 and -2004378 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.4 bigger than 178293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 8*p**2 - 11*p - 10. Give z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38\/11*i**2 + 0 + 2\/11*i.\nAnswer: -2*i*(19*i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-3)\/(-2)) - -16. Let x(b) = -5*b - 124. Let l be x(-29). What is the highest common factor of s and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2. Let d(b) = -b - 1. Let m(i) be the first derivative of i + 2 + 2*i**2 - 8 + 2*i**2 - 2*i**2. Let a(c) = d(c) + m(c). Determine a(q(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -38, -5, 8.2, -1\/3, -33 in descending order.\nAnswer: 8.2, 2, -1\/3, -4, -5, -33, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*j + 309754*f**3 + 3*f**2*j + 4*f**2 + 476*f*j + 7*f - 1 wrt f?\nAnswer: 12*j + 1858524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 9*v**2 + 3*v + 1. Let a be h(7). Suppose 5*j - a = -0. Suppose m + 2*m = j. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 61. Let j = -11592 + 11607. Give q(j).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 11*b**3\/3 + b**2\/2 + b + 1. What are the prime factors of p(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -823.1 - -823. What is the biggest value in -5, 3, 2\/3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(6\/(-84)*-7) - -3293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k**4 - 215*k**3 + 1100*k**2 + 605*k = 0. Calculate k.\nAnswer: -1\/2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 - (-4 + (6 + 8 - 8))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/3)\/(16\/(-24)*1). Let p be d\/(-4 + 95\/30). Solve 10*x - p = 8*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5037\/284 - 71\/4. Let c = 211\/142 - y. Let b = 3.19 - 3.09. Sort b, -3\/2, c in descending order.\nAnswer: c, b, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-2 - sqrt(240)\/sqrt(5))*-2.\nAnswer: 44*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(77)*1 - sqrt(77)) + sqrt(77)))\/(sqrt(176)*-5))**2 + (-3 + sqrt(252) + 4)**2 + 2.\nAnswer: 12*sqrt(7) + 102007\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2693 - 156*n - 2693)*(-40 - 7 - 2)*(-3 + 5 - 4) + (1 + 0 + 1)*((-3*n - 2*n + 3*n)*(1 + 0 + 0) - 3*n + 5*n - 3*n) in the form f*n + q and give f.\nAnswer: -15294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 93 + 81 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**3 + 5*m**2 + 6*m + 4. Let c be (-1 + 1 + (-26)\/(-26))*-7. Let f(a) = 5*a**3 - 6*a**2 - 7*a - 5. What is c*i(u) - 6*f(u)?\nAnswer: -2*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(18)\/(sqrt(54)\/sqrt(9) + sqrt(6)))**2 + sqrt(3))) + (sqrt(3) + (sqrt(3) + -4)*4)**2.\nAnswer: -160*sqrt(3) + 1321\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -434084\/241 > -1801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.0178 + 0.0178. What is the third biggest value in 7\/2, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -1.162.\nAnswer: -2.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/6 + 43*s**3\/2 + 4349*s**2\/6 + 4053*s\/2 + 1323 = 0.\nAnswer: -63, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15b + 4?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**3 + 3*b**2 - 27*b - 53. List the prime factors of h(-12).\nAnswer: 73, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**5 + 0 + 0*a**2 + 0*a**3 + 0*a**6 + 1\/7*a**8 - 1\/6*a**4 - a + 0*a**7. Find the third derivative of y(f) wrt f.\nAnswer: 960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 7 = -3*w. Calculate the least common multiple of (6 - 232\/20)*-5 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 5*q + 12. Let t be p(4). Suppose t = -12*k + 30*k. Solve -n = 4*s - 0*n + 6, -2*s - 2*n - 6 = k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -14*b - 2. Let i(c) = -3*c. Give k(i(o)).\nAnswer: 42*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40020 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -756, -1754, -3154, -4956, -7160, -9766?\nAnswer: -12774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -127.462?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 20 = -4*n + 9*n, -5*n = -2*f - 48. Let l(b) be the second derivative of b**3\/6 + 5*b**2 - b. Calculate l(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*p - 17 = p, -5*v + 19 = -3*p. Suppose -b + 5*u = -0*b - v, -2*b - u = -37. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3\/3 + 6409*b**2 - 2664178*b + 31662568\/3 = 0.\nAnswer: 4, 421, 18802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*s - 197 + 297 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 608274680*c**5 + 1063410337*c**2 wrt c?\nAnswer: 36496480800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9.9 (b) -5 (c) 17\/6 (d) -30 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, -204, -10, -17 in decreasing order.\nAnswer: 4, -1, -3, -10, -17, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104.51 in -0.1, 5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 26 = 2*o, -2*l - 14 = 4*o + 6. What is the tens digit of -15*(-3 + 1\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34885 = 3*x + 2*k + 34875, 4*k = -5*x + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104663 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10091.22ml in litres?\nAnswer: 10.09122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 8612 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*t**4\/5 - 848*t**3\/5 + 37832*t**2\/5 + 848*t\/5 - 7564 = 0. Calculate t.\nAnswer: -305\/3, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204 and 172?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1312327 and 77.\nAnswer: 101049179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 20, 4*d = -3*i + 22 + 21. Suppose -3*w - 120 = -d*w. Solve -4*n - 5*h - 6 = w, -5*h - 40 = 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6625930*c**2*h*u**3 - 252*c*h*u**3 - 1014*c*h*u - u**3 wrt c.\nAnswer: -13251860*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 7. Let z(k) = 2*k - 20. Let r(f) = 8*y(f) + 3*z(f). Suppose -5*a = 5*h + 45, 3*a - 12 = 7*a - 2*h. Determine r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 - 70. Suppose 7 = 2*h + 5*v + n, h = -3*v + 3. Suppose h*w + 4*w - 511 = 0. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -198672, -198683, -198696, -198711, -198728?\n\"Answer: -r**2 - 8*r - 198663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -893, -1902, -3603, -5996?\nAnswer: -9081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -14. Put a, 0, 3 in descending order.\nAnswer: a, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 0 - 13 - 9*j + 7.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 1, -5 in descending order.\nAnswer: 26, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 = -20*w - 749. Suppose -u + t + 12 = 4, -4*t = 16. Solve w = -u*a + 3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -423 - -426. Suppose 5*o - 3*d - 3 = 0, -7 = -o + 5*d - 2. Suppose o = -0*v - 3*v. Solve v = 4*r + j*y, 2*r - 6*r = 5*y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -63*t**3 + 44*t**2 - 41*t + 80. What is n(2)?\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001000111110 (base 2) to base 10.\nAnswer: 33342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/(2\/5)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 136*d + 1106. Let u be o(-67). Calculate the greatest common divisor of 432 and u.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e0024 - 26?\nAnswer: -6e004a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132) + sqrt(132))*3 + (sqrt(132) - (-4*sqrt(132)*-1 + sqrt(132))))\/((sqrt(12) - sqrt(48)*-1)*2).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 - 4*k**2 + 11*k - 59. Let x be n(5). Suppose x*u = 263*u + 80776. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 13*w - 16. Let j be r(11). Suppose f - j = -f. Solve -f*b - 2*a = -13, -5*a + 8 + 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 895, -1, -3 in ascending order.\nAnswer: -3, -1, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182700 and 2436?\nAnswer: 182700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*p = -6. Suppose -220 = -2*j - p*j - 4*d, 0 = -5*j + 2*d + 240. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + w = -4, 2*x - 2*w = -5*w + 4. Let g(j) = 3*j + j**2 + 21 - 8 - 15 + j**3. Determine g(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66) + sqrt(66)*2) - (sqrt(66)*-1 + sqrt(66))*-5)\/(2*(2*sqrt(600) + sqrt(600))).\nAnswer: -sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (427\/126 - 2)*(-32)\/20.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193248 and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.93 - -0.07. Is m less than or equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 + 810 + 0*h**2 - 807. What is m(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -3*m**3\/2 - m**2\/2 + 8*m. Determine q(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 0.3, -0.001, 1\/3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 7. Let z be r(-7). Solve z = q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, d: 4, w: 7}. What is prob of sequence wwdd?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 3, p: 1, e: 3, u: 3, l: 2}. Give prob of sequence les.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x + 14 + 78 = -10. Sort 5, x, -4, 4, 0.\nAnswer: -4, x, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 867748 and 136?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/4) - -9. Suppose 7 = 3*m - l. Let f(j) = 3*j**2 - 56*j + 242. Let u be f(4). Calculate the greatest common divisor of m and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:14 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*n + 2077*n = 50243 + 25525 for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l + 217. Calculate k(14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175309883 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/3, -1\/6, 0, 1\/259, -0.06, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 6:14 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96524.77 centuries to years.\nAnswer: 9652477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*s = -906. Find the first derivative of -20 + s*n + 73*n**2 - 151*n wrt n.\nAnswer: 146*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -112*g**2 + 14*g - 2. Let v(u) = -30*u. Determine q(v(s)).\nAnswer: -100800*s**2 - 420*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 5*u + 14, -26*s + 4 = -23*s + 5*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 19*z + 100. Does 26 divide c(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3331*f**2 - 191*f**2 + 809*f**2.\nAnswer: -2713*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 5, -1, -17.\nAnswer: -76, -17, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14586 - -24732. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + -6 - -13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24 - 17 - 3*w - 16*w**2 + w**3 - 10*w. Let b be n(17). Suppose 5*z - b + 17 = 0. Which is smaller: z or 14\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**4 + 90*k**2 - 69709*k - 12738765 wrt k?\nAnswer: -4*k**3 + 180*k - 69709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 579247 and 2540?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 3*d + 3. Let q(l) = -25*l**2 + 35*l - 35. Let j = -64 + 99. Let s(i) = j*x(i) + 3*q(i). Let w(p) = -p. Calculate w(s(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - v**2 + 3*v**2)*(-v**2 + 3*v**2 - 4*v**2).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1846 + 1845.91785. Round n to 3 decimal places.\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 19*a**2 + a + 7. Is h(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -3a?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 24. Solve 4*s + 4*m + 12 = 0, s - 5*m + j - 12 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*n**6*w**3 + 2*n**4*w**3 + n**2*w**2 - n**2*w + 7*w**3 wrt n.\nAnswer: 2040*n**3*w**3 + 48*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 371445\/49526*(1\/5)\/(3\/(6\/(-1))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1 (c) 7 (d) -2\/5 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27370 - -27434. Let j be ((-6)\/(-4))\/(3\/160). What is the greatest common divisor of j and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45519 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4\/4 - 9*y**3 + 2823*y**2\/4 - 5526*y - 6240 = 0. Calculate y.\nAnswer: -40, -1, 13, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*n - 331, -3*n - y + 22 = -181. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 20216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + h = -3. Let m be h\/(1\/8) + -2. Let d = m - -1. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1098248, 2196503, 3294758, 4393013?\n\"Answer: 1098255*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5 = -s + 11, -s + 34 = 5*j. Suppose c - j = -10. Let y be (2 + -1 + 1)*(-10)\/c. Which is smaller: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:57 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19063 or -8483314\/445?\nAnswer: -19063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**7\/1785 - 77*h**6\/340 + 229*h**5\/255 - 88*h**2 - 9. Factor c(r).\nAnswer: 2*r**2*(r - 229)*(r - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/6 + 11*r**4\/3 - 17*r**3 - 74*r**2\/3 + 103*r\/6 + 21 = 0 for r.\nAnswer: -1, 1, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.17925 litres to millilitres.\nAnswer: 90179.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 10*c + 9. Let d be h(3). What is the derivative of -d + 82 - 37 - 83*x + 85 + 67 wrt x?\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011100 (base 2) to base 10\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -279804, -279801, -279800, -279801, -279804, -279809, -279816?\n\"Answer: -f**2 + 6*f - 279809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -62*i - 173. Let w be y(-4). Solve 21*b + 201 = w for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*m**2 + 0*m**2 + 16*m**2 - 7*m**2 - 5*m**2 to the form y + d*m**2 + u*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 43*v**2 - 10*v + 76. Let u(y) = -36*y**2 + 9*y - 75. Calculate 6*u(b) + 5*x(b).\nAnswer: -b**2 + 4*b - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (2 + -18))*(14 - 15). Let h be (0 - s)\/4 + (-3 - 1). Suppose h = 2*w - 202 - 78. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 3. Suppose -9*u + 864 = -13*u. Let t = -221 - u. Determine g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*i**3 + 10614718*i**2 + 30401944.\nAnswer: -12*i**2 + 21229436*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j + 761. Let u be x(47). Which is the nearest to 0.1? (a) u (b) 11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*o**2 + o - o + 40*o**2 + 1200150 + 34*o**2 - 1200150.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = x, 4*x + 2*b + 0*b + 14 = 0. Sort x, -2\/19, -0.3 in descending order.\nAnswer: -2\/19, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105 (base 9) to base 16.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 1, y: 1, h: 1, z: 1, r: 2}. What is prob of sequence vz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 3\/7*p**3 + 1\/7*p - 4 - 3\/7*p**2. Factor q(k).\nAnswer: (3*k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 4, h: 4}. What is prob of picking 3 g?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -7. List the prime factors of -10*(g\/(-16))\/((-7)\/28).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6430 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 336?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 14*s + 3*s**2 + 18*s + 11*s + 5*s to l*s**2 + c + r*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**8\/336 - 19*k**6\/10 - 53*k**5\/60 + 7*k**4\/24 - 2029*k**2. Find the third derivative of p(o) wrt o.\nAnswer: 60*o**2 - 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-14 - -14) - (2 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.992866l?\nAnswer: 4992.866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**6\/180 - 163*y**5\/360 + 569*y**4\/144 - 11*y**3\/3 - y**2 + 3462*y. Solve q(u) = 0 for u.\nAnswer: -44, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102157443 is divided by 34052481.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052059 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*r + 26, 2*v - 3*r = r + 28. Suppose 0*y = -y + v. Let 2*i**3 + 3*i + 3*i - 2*i**5 - y*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 2290 = 2345 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5969.\nAnswer: 1\/5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 4. Let j be o(-2). Let u(w) = w**3 + 6*w**2 + 2. Let f be u(-6). What is the second derivative of z + z**f - z**j - 3*z**2 wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-2)*1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -2. Let m = w - -3.6. Let u be 0 - -2 - (5 + -2). Which is the nearest to u? (a) -3 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18947299, -37894598, -56841897, -75789196, -94736495, -113683794?\nAnswer: -132631093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*u - 6. 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 r be (10\/2 - 3) + 3. Suppose n = -3*n + 4*o + 16, r*o = n. Suppose -25 = -10*z + n*z. Solve 2 - 12 = -z*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 + 1)*(-3 + 1 + 1)*(-17 + 0 + 8)*(6 + 6 - 5).\nAnswer: 63*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43128*i**2*v*w**3 - 93356*i**2*w**2 - 1751*i*v*w**3 + 6*i*v - 25*i wrt w?\nAnswer: 258768*i**2*v - 10506*i*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3635696 is divided by 7330?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2221230542?\nAnswer: -2221230545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/60 - (-69)\/198.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 2.05. Let o = w + 0. Which is the biggest value? (a) 1\/3 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z - 20 = 15*z + 16*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 8*o - 6. Let g be i(6). Solve -5*b = -g*b - 5*y + 1, 2 = 2*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -3.4, 0.4, 2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, q: 4, p: 3, v: 1, l: 2}. Give prob of sequence qplp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16.435643 * 0.4\nAnswer: 6.5742572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 4:36 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**4 + 66282*y**3 - 121992013*y**2 - 162744404*y - 54257956 = 0. Calculate y.\nAnswer: -2\/3, 3683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010227 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 24. Let g = f + -59. Let r be (-20)\/6*(-6)\/4. Solve 2*b = z + g*b - 24, 4*z - r*b = -9 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1434 + 1418. Let l(v) = -v**2 - 16*v - 17. What is l(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t - 3*t - t + (-2 - 2 + 2)*(3 + t - 3).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 17 + 171 = 648*s - 644*s, 0 = -5*s + 5*f + 230 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2201112 + -1022020202?\nAnswer: -1012112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452011819?\nAnswer: 1452011819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let j(s) be the first derivative of s**2\/2 + 6*s + 2. Let n be j(-4). Let z(v) = 0 + 0 - v**n. Calculate i(z(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -131, -234, -375, -560?\nAnswer: -795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13822*g**3 + 8*g**2 - 16*g - 2 wrt g.\nAnswer: -82932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 at least 5\/524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 - -334. Let a = -211 + b. Let o(l) = l + 2 - l**3 - 4*l**2 - 3 + 0*l. Give o(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2712920.98 to the nearest 100.\nAnswer: 2712900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 17289762.7952?\nAnswer: 17289762.5952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + (-10 + 5 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -294 in 2\/9, 6.61, -0.3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1042, -2, 0 in decreasing order.\nAnswer: 5, 0, -1, -2, -1042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/30 + (-126)\/135?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:12 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*q + 6*q + q)*(-1 + 3 - 1) + 4*q - 2*q - q)*(-2 + 1 + 5)*(-5 - 5*q + 5) as z + l*q + u*q**2 and give u.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 - 37 = -n, -3*n - 13 = -5*v. Solve -n*p - 6 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m + 143 = -180 + 752 + 489 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/49 + 213\/21. Solve -n*k + 32 - 12 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2054999 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3080)\/66)\/(-35))\/((-16)\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b + 68. Let u be a(7). Solve 4*s = 0, -15 = u*m - 10*m + 5*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = j. Let j + 0*q - 2*q**5 - 14\/3*q**3 + 4\/3*q**2 + 16\/3*q**4 = 0. What is q?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -65. Let x be -28 - 1 - (-3)\/(-3). Calculate the remainder when d is divided by (3\/2)\/((-3)\/x).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(((sqrt(2) + -1)*2 - sqrt(2) - sqrt(2)) + (sqrt(40)\/sqrt(4) + sqrt(10))\/sqrt(5))**2.\nAnswer: -13 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 11*w**2 - 7*w + 20. Let d be u(-10). Let t(s) = s**2 + 9*s - 4. Determine t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = -f - 3*p, -3*f + 3*p + 15 = 0. Let a(t) = t**2 - t - 2. Let u be a(2). Let v = u + 5. Solve 3*z + 8 = -v*b, 4*b + z = -b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*-5*sqrt(187) - sqrt(187))\/((-4*sqrt(22))\/sqrt(2)).\nAnswer: -5 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 45*o - 24. Let g(y) = 9*y - 5. Let t(b) = 24*g(b) - 5*j(b). Let u(z) = -8*z. Give 3*t(w) - 4*u(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/3)\/1)\/((-24)\/6).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -376457.593 take away -3?\nAnswer: -376454.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k + 191. Let d(t) = -18*t**2 - t. Determine i(d(q)).\nAnswer: 180*q**2 + 10*q + 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 24. Let w(a) = -2*a - 13*a + 15*a + 66*a**j. Let o(b) = -2*b**2. What is w(o(l))?\nAnswer: 264*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 3*u - 3282. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -66, -73, -94, -135, -202, -301, -438?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*l + 6*l + 10*l**4 - 10*l**4 - 2*l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from poonooonoooovoo. What is prob of sequence ovno?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -351 (c) 16 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*w + 15 - 78, 2*w + 2*r - 50 = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28458 and 1728.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(2 - (-15)\/(-12)). Suppose 5*c - 16 = h*c. Calculate the smallest common multiple of c and 100\/10 + 0 + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 102211030?\nAnswer: 102211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 42*1\/(3\/4). Let a(u) = -u**2 + 24*u - 37. Let p be a(8). Suppose p = 83*m - 70*m. Calculate the highest common factor of m and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*141.45419\nAnswer: 4.2436257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - -9. Let x = -73 + n. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*s**3 + 124*s**2 - 94*s - 228.\nAnswer: -2*(s - 2)*(s + 1)*(5*s - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -64.7, -4311, -1\/4 in descending order.\nAnswer: -1\/4, -64.7, -4311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = c - 11, 0 = 4*x + x. Let l be -2*3\/3 - -10. What is the remainder when l\/(2 + (-14)\/8) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -49. Let o(n) be the first derivative of -2 + 3\/2*n**2 + 0*n. Calculate o(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -1\/20*s**5 - 2\/3*s**4 + 7\/2*s**2 + 0 - s**3 - s. Let x(f) = 2*f + 9. Let v be x(-8). What is u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47153194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2748726338.876643 - -2748725155. Let f = t - -1405.87689. Let w = -222 + f. What is w rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 l when three letters picked without replacement from eevlzhl.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let j = 0.10014 + -6.10014. Which is the closest to y? (a) j (b) -2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, w: 12}. What is prob of picking 3 m?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22887930 is divided by 315?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 15240530*f**3 + 45721620*f**2 + 45721630*f + 15240545.\nAnswer: -5*(f - 3048109)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(-10)*(-1 + -43). Sort u, 5, 0 in descending order.\nAnswer: u, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6.3\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36.6 - 36.7. Which is the closest to -1\/4? (a) 0 (b) 1\/27 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593021805.\nAnswer: 3, 5, 39534787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 - 147. Is (3 + 0)*n\/(12\/1318) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15634334774 - 10.\nAnswer: -15634334784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572624.\nAnswer: 2, 13, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 10*x - 10 = 0, -39 = -3*o + 1906306*x - 1906303*x for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let o(j) be the third derivative of 0*j - j**2 + 0*j**4 + 1\/30*j**m + 1\/6*j**3 + 0. What is the first derivative of o(w) wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3*((-8)\/(-10))\/((-444)\/370).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 14.4. Let o = u + 12. Put o, 4, -5 in decreasing order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r + 616 = -33*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -329, -656, -985, -1316?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.2 + -147.2. Let o = v + 132.3. Let i = o - -6. Which is the nearest to -1? (a) 2\/11 (b) i (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7213416364?\nAnswer: 2, 7, 11, 101, 461, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45.77786l?\nAnswer: 45777.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -3 + 2 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 3:50 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + 25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2447709336 to five decimal places.\nAnswer: -0.24477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 175 + 654. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-30)\/(-12)*(-8)\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, v: 2, j: 1, s: 2}. Give prob of sequence sa.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h - h - 2*h as y*h + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 988*r - 43*r**3 + 1079*r - 2161*r wrt r?\nAnswer: -258*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 620.91 to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58 in 4, -10, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-99)\/44*(-100)\/275\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 28. Let n = u + 18. Calculate the smallest common multiple of 1 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 956*g*h**2*z**2 + 6*g*h*z + h**3*z**4 + 3*h**3*z + h**3 + 2*h**2*z wrt z?\nAnswer: 1912*g*h**2 + 12*h**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1314*h**2 + 125*h**2 + 175*h**2.\nAnswer: -1014*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 395 (base 12) to base 10\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 85 - 3*j - j**3 - j + 15 + 3*j + 2*j in the form k*j**2 + r*j + g + h*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/8*2*-8. Suppose -n + 3*c = -43, 3*n - 2*n = 2*c + u. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.7491 - 51.6. Let v = l + -0.141. Round v to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 40*g**2 - 93*g - 238. Does 6 divide n(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -890059, -889918, -889777, -889636, -889495?\n\"Answer: 141*c - 890200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -342433.1.\nAnswer: -342441.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 1684, 3805, 6768, 10567, 15196?\nAnswer: 20649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/14, -136, 0.5, 5, -0.8 in decreasing order.\nAnswer: 5, 0.5, -3\/14, -0.8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 231418?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4188470.\nAnswer: 2, 5, 11, 13, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 - 848*f + 1323*f - 464*f - 1414*f**2 + (-1 + 2 + 1)*(f**2 - f**5 - f**2) - 2*f**5 - 4 + 4.\nAnswer: -7*f**5 - 1414*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let z be f\/(-3) - 328\/(-12). What is the second derivative of z*v**2 - 5*v**4 + 5*v - 27*v**2 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - (-469)\/84. Suppose 124*m - 97*m - 116 = 56*m. What is the fourth smallest value in y, m, -1\/9, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -654 by -654.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 32*a**2 + 336*a + 1152.\nAnswer: (a + 8)*(a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 2613, 8908, 21225, 41586, 72013?\nAnswer: 114528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28582, 57132, 85682, 114232, 142782, 171332?\n\"Answer: 28550*y + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 1, 15 in increasing order.\nAnswer: -9, -5, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (51 - -6 - (-57 + 62)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.5 - -3.5. Let x = -1 + 1. Which is the nearest to 1? (a) v (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -771998 smaller than -771998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 191252549 to the power of 1\/2, to the nearest integer?\nAnswer: 13829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29282)\/(-132) - 2\/(-12). Let r = d + -189. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:53 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + h + 2. Let i = 401 - 398. Let r(l) = -3*l - 6. Let y(w) = i*j(w) + r(w). Let t(v) = -55*v**2. What is t(y(q))?\nAnswer: -495*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3\/91 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -24*f + 2. Let t be (-18)\/(-2) + -3 + -4. Let w(v) = 6*v**t + 12*v**2 - 20*v**2. Calculate w(r(p)).\nAnswer: -1152*p**2 + 192*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 36602 = -3*y, -97*w - 36614 = -3*y - 96*w. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751158679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-8 - (-15 - (-19 + 18))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197122706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86793009 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4258 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 577 and 9040436.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1311 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 5*j**2 - 91 - 3*j**2 + 9*j**2 - 5*j**2 to t + c*j**2 + q*j and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2660093 is divided by 9638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 148 - 50. What is the greatest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 1\/84*t**4 - 5*t**2 + 1\/210*t**5 + 0*t + 0 + 0*t**3. Factor m(u).\nAnswer: 2*u*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 9*q + 16 = -6*q, -2*h = 4*q - 22. Solve -25 = 6*r - h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. What is the remainder when 1 + 28 + (z - 4) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 23*x**2 + 374*x + 1. Let a be l(34). Let u(t) = -5*t**3 - 7*t**2 - 5*t + 4. Let h(p) = p**2 + p - 1. Calculate a*u(q) + 5*h(q).\nAnswer: -5*q**3 - 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 14. Let p be (30\/(-9))\/((-2)\/3). Suppose j*a = 2*s + 14094, 23497 = p*a - 2*s + s. Round a to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 505141664 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 2435464906?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*y + 4, 1 = 5*y + 11. Suppose -l = f, l + 29 = -4*j + 1. Let r be 26\/(-42) - 2\/j. Is r greater than or equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3 = 5*r - 0, 123 = 3*r - 115*n + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:01 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055059027 to seven decimal places.\nAnswer: 0.0000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 153 - 225 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4775 + 7714. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from qqrqqvovoqq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45099 by -14341.\nAnswer: -45099\/14341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 107730.\nAnswer: 215460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729015 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven sevenths of a week in hours?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -336.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -151, -12, -10 in decreasing order.\nAnswer: 5, -10, -12, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -1 + 0*y - 1\/2*y**2. Let s(m) be the third derivative of m**4\/24 - 2*m**2. Give s(u(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 344 - 346. Which is bigger: d or 1\/174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 222 - -a0?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1 + 6*k - 6*k - k - k**3. Let b(s) = 5*s**3 + 3*s**2 + 12*s - 9. Let z(p) = -b(p) - 6*r(p). Is z(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 222 + 174. Which is greater: s or 35?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/(1\/3). Let z = -121 + 116. Let x be -5*z\/50*6. Solve 0 = d*f - 3 - x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 0*i + 16*i**2 + 2*i to the form c*i**2 + s*i + m and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6, 3*j = -5*s + 25 + 63. What is the second derivative of -26 + 4*a + j + 5*a**5 wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*g - 10*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 994 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112, -127, -142, -157, -172?\n\"Answer: -15*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.04 (b) 267 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*3\/45)\/((-86)\/4730)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22807\/5 - 4562. Suppose -10*y = -6*y + 36. Put y, r, -0.4 in descending order.\nAnswer: -0.4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75297 + 75297 - 4*y**2 + 123*y**3 + 6*y**2.\nAnswer: 123*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 2\/5, 1\/4, 0.2, 5.\nAnswer: -4\/7, 0.2, 1\/4, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 39. Let v(d) be the first derivative of -d**3\/3 + 9*d**2\/2 + 3*d + 2994. What is v(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -36. Let u(v) = -2*v**3 + v**2 + 6*v - 4. Let j(g) = -5*g**3 + 2*g**2 + 17*g - 11. Let f(t) = p*u(t) - 4*j(t). Let c = 31 + -29. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(g - 2*g + 2*g) + (-3 + 2 + 2)*(-4 + 4 - 3*g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0834 and 45851824.\nAnswer: 45851823.9166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 137*j + 22031. Determine g(-162).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 68*u**2 + 8*u - 12. Let y(r) = -68*r**2 - 7*r + 11. Let z(n) = -6*p(n) - 7*y(n). Is z(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 - 2.6000071. What is c rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33969150 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s - 4 = -18*s. Let g(y) = -6*y**2 + 19*y**2 - 11*y**s - 7*y**2. Let v(t) = -10*t. What is v(g(k))?\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 53*k**2 - 803 + 392.\nAnswer: -53*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a + 5*a + 79 - 45 + 0*a + 0*a - 2*a + (3*a - a + a)*(-1 + 2 - 2).\nAnswer: -8*a + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c - 3. Let m(r) = 6*r + 4. Determine -7*a(l) - 5*m(l).\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700681833.4 rounded to the nearest 1000000?\nAnswer: 701000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-33)\/27)\/(-1). Let z = -14 + 9. Which is the third smallest value? (a) -1\/7 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 197600 or 197799?\nAnswer: 197600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4500184.\nAnswer: 2, 13, 43271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-164)\/615*10\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -7*b**2 + 9*b - 21. What is y(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 4 (c) 58 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/24128)\/((-120)\/1280)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 684\/3737 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-112)\/12)\/(-7))\/(1\/75). What is the second derivative of -l + 78*x**2 - 3*x + 33 + 37 + 31 wrt x?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2, -1\/491?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and (-129 - -49)\/((-3)\/5*(-1)\/(-3))?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56 - (5 - -8 - 0). Let z(o) be the first derivative of 0*o**3 + 0*o - 5\/4*o**4 + 45\/2*o**2 + w - 1\/5*o**5. What is the second derivative of z(j) wrt j?\nAnswer: -12*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 101\/3. Which is the third smallest value? (a) 0.3 (b) -9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -59, 7, -2, 8, -1 in increasing order.\nAnswer: -59, -2, -1, 6, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4609 + -2696. Suppose -1018 - c = -q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.41 - 2.41. Which is the biggest value? (a) p (b) 3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*m**4 - 14*m - 8 wrt m?\nAnswer: -1200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221664404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 27. Is 20 a factor of l*(-8)\/(4\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23, -2 in descending order.\nAnswer: -1, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**10\/1260 - t**6\/90 + t**3\/3 + 6. Let d(x) be the third derivative of q(x). Find the third derivative of d(p) wrt p.\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20388 - 20333. Put v, 0, 0.03 in decreasing order.\nAnswer: v, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20256927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3493?\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)\/(5\/25). What are the prime factors of 3\/y + (-216)\/(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2747 + -2672. Solve 0 = 11*p + 14*p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddyb when four letters picked without replacement from {b: 1, d: 2, z: 11, y: 2}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 39. Suppose 2*u + 5 - y = -m, 0 = -3*m + 5*u - 22. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17715 - 3.\nAnswer: -17718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*c = 1, -93*b + 95*b - 5*c + 20 = 0. Solve b = 7*n - 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7206*u*w**2 + 9384210*u - 351*w wrt w?\nAnswer: 14412*u*w - 351","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, r: 1, m: 3}. Give prob of sequence tt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311620.\nAnswer: 2, 5, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, q: 10}. What is prob of picking 1 q and 3 s?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -36. Suppose -5*n = -3*t - 3*n + 18, 2*n - 12 = -2*t. Is 28\/t*w\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 6:12 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 23 + 42. Let a = 21 + 0. Suppose -a = -3*c - 3*j, 8 + d = -2*c + 5*j. Calculate the greatest common factor of 10 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 179 - 3?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/12 - (-156)\/(-16). Let y = w - -14. Suppose 0 = s + y, 5*s = -4*p + 9*s + 36. Solve 5*n - p = -29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 470880564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8304342 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40414 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 795, 1575, 2329, 3045, 3711, 4315?\n\"Answer: -2*l**3 - l**2 + 797*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + 2)*1*0)\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52016430 + 2?\nAnswer: 52016432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1628539.\nAnswer: 11, 43, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 522*o + 519*o + 32 = 0, 0 = -t - 3*o + 37 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6424 to the nearest one hundred.\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n + 4. Let s(c) = 1. Calculate k(m) - 4*s(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {x: 14, e: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 49419 (c) -1.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r**4 + 0 + 4*r**3 + 5*r + 8*r**3 - 15*r**3 - 3. Let j(c) = -c**3 - 1. Let f(o) = -3*j(o) + k(o). Find the second derivative of f(g) wrt g.\nAnswer: 156*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 + 3*x**2\/5 - 99*x\/5 + 189\/5.\nAnswer: 3*(x - 3)**2*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*d**2 + 4*d + 495*d**2 - d - 3*d to the form r*d**2 + n*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*l + l. Let c = -9 + l. Suppose -2*b + 2 = 0, -c*b = -5*q + 2*b + 310. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 845 - 473. What are the prime factors of g?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -109.28 - -109.2800010717. Round p to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*h**4 + 278*h**2 + 847.\nAnswer: 24*h**3 + 556*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213640547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 7. Let f(u) = 3*u - 8. Suppose 16*y + 1218 = 3666. Let m be 16\/6*y\/(-68). Give m*l(r) - 5*f(r).\nAnswer: -3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0119845 + 0.012. Round f to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = -5*c - 30, 0 = l - c - 18. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 77678447.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -3*n**2 + 1\/12*n**6 + 0*n + 0*n**4 + 0*n**3 + 2\/15*n**5 + 1\/105*n**7 + 0. Factor y(l).\nAnswer: 2*l**2*(l + 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3184204\/3 + -1061400. Factor 0 + 2\/3*a**2 - s*a.\nAnswer: 2*a*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 172\/56)\/((-2)\/(-4)). Which is smaller: -9\/4 or y?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/9 - -1)*(-10)\/(-5). Let s be ((-16)\/(-54))\/((-6)\/9). Sort s, 0.2, n in decreasing order.\nAnswer: 0.2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 + 9*s**2 + 9*s**2 to the form y + n*s**2 + v*s and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2147 + 2140 - 6434 + 189*q**2 + 2147.\nAnswer: 189*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.12, 8\/19, -1064, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14*g - 25. What is d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.26 + -22526385.16.\nAnswer: -22526436.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from hwwwwwmpwwhqwp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76 - -207. What is the second derivative of u*g**2 - 11*g**4 - 2*g - 131*g**2 wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003848554 rounded to 7 dps?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.045 times 817\nAnswer: -36.765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 1\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137968 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mllmlmllllllml. What is prob of sequence ll?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33441330.5 times 0.2?\nAnswer: 6688266.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 3. Let z be a(0). Suppose 4*u = 11 - z. Suppose -3*g + 0*d - d = 20, 30 = -4*g - 2*d. Put g, u, 1 in decreasing order.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*m - 176, 3*s - 4*m = -3*m + 92. What is the remainder when s is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(1320\/(-90)))\/(9\/(-180)*14)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/9*(-1 - -1228). Let s = x - -1125. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 41, 54, 67, 80?\n\"Answer: 13*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 31*p + 44. Give c(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose x*a - 5*a = -9. Suppose 4*g - a = 51. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(905\/(-543)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 44171997 = -l, 0*l + 3*l = -t + 11042991. Suppose -33*u - t = -42*u. Round u to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**2\/2 - 745*c. Let s(k) = -k + 2. Give -3*j(v) + 2*s(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 9:11 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 10. Let i(v) = 4*v - 7. Let j be i(3). Calculate a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -473*-9\nAnswer: 4257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 - w**4 + (-w + 2*w**2 + w)*(-3 + 3 + 2*w**2) - 3*w**4 + 5*w**4 + 0*w**4 - 2572*w - w**3 - 4*w**4 + 2*w**4 + 2562*w.\nAnswer: 3*w**4 - w**3 - 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4686, -6, -3 in decreasing order.\nAnswer: -3, -6, -4686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**5 + 45138*h**4*n - 2*h**4 + 10*h**2*n + 406*h*n - 15*h wrt h?\nAnswer: -60*h**2 + 1083312*h*n - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.891 + 0.4?\nAnswer: -158.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*-2*3. Let d be (-34)\/i + 1\/(-3). Solve -5*w + 3*b - 3 - d = 0, 5*b - 11 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004648 rounded to 4 decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 72, 117, 180, 267, 384, 537?\n\"Answer: k**3 + 26*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 13. Let h(o) = -o**3 + 6*o**2 + 4*o - 3. Let d be h(6). Let q be 0 + -4 + 98\/d. What is the biggest value in q, 0, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - l - 4*l - 1, -4*z - 11 = 3*l. Let k be 11 - z - -1*2. Suppose 0 = 2*d, 5 = 5*a - 2*d - 15. Solve k = a*c - c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 27)*(0 - -1). Suppose j = 3*t + 7. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 34 = 3*z, 9 = u - 0*u - 2*z. Let i = u - 9. Let b(c) = 10*c - i*c - 27*c**2. Let f(q) = -3*q**2. Calculate f(b(a)).\nAnswer: -2187*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066665 rounded to 3 dps?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 230077 greater than or equal to 11.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43891, 87776, 131667, 175558, 219443, 263316, 307171?\nAnswer: 351002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, n: 6}. Give prob of picking 3 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 1551 + 24*m**2 - 3107 + 1548. Let t(u) = -16*u**2 + 5. Give -5*d(q) - 8*t(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -8. Let q = h - -36. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 113, 209, 287, 341, 365?\n\"Answer: -t**3 - 3*t**2 + 112*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -277*o**5\/5 + 555*o - 493. What is the first derivative of k(y) wrt y?\nAnswer: -1108*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.61 - 3.3. Let h = q - -0.33. What is h rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 224.2585 + -3.1285. Round h to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7359, -57.06, 4.\nAnswer: -57.06, 4, 7359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16220849 - -25469.84?\nAnswer: 25470.00220849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.3, -1\/3020, -1, 2, 3, 5?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16431 - 1?\nAnswer: 16430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 10 = -5*p, 4*p + 5 = 6*p + 25*x - 24*x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 730222723 less than 8?\nAnswer: -730222715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 189*n**3 - 22*n**2 - 7*n + 5. Let m(d) = -377*d**3 + 38*d**2 + 13*d - 9. Determine -7*b(j) - 4*m(j).\nAnswer: 185*j**3 + 2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 298.4?\nAnswer: 6266.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**3 + 13*b**2 - 9*b + 18. Let v(n) = -5*n**3 - 13*n**2 + 10*n - 17. Let h(w) = -3*k(w) - 4*v(w). Determine h(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 5*t - 4*m, 0 = -2*t - t + 5*m - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -92*f - 17798. Give p(-188).\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*c + 30, 9*c = 5*c + 3*a - 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(608)*-2)\/(5*(sqrt(2) + sqrt(2)*-2 + sqrt(2)) - sqrt(2)) + ((0 + sqrt(171) - sqrt(171) - sqrt(171)) + 3 - 4*(sqrt(171) + -1))**2) + 1.\nAnswer: -21619 + 1010*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - a + 32 = 0, 10*c - 12*c = 2*a - 16. Solve -5*p = 2*f - c, 4*f + 0*f = -2*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -246, -411, -630, -921, -1302, -1791, -2406?\nAnswer: -3165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*243\/(-3672)*32?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 85*b**2 + 4*b - 34. Let d(u) = -19*u**2 - u + 8. Let n(w) = 9*d(w) + 2*s(w). Suppose -4*r - 3*y - 13 = 0, y = -3*r - 0*y - 11. What is n(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/180 - k**4\/36 - k**3\/18 - 14*k**2. Factor q(a).\nAnswer: -(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:59 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (0 + -4 - -27) - (-5 - -6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899365 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + h + 1 = 0, -h + 6*h = -2*p - 14. Suppose -2*c = 3*c + p*b, -c = 4*b. Solve 4*t + 12 + c = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1606*p + 9634. Let f be o(-6). Let d = 36 + -147\/4. Is f <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2780*z + 16684. Give s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 15*u - 72 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/(-2)*-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.132 and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**5\/20 + 7*x**4\/12 + x**3\/6 - 2*x**2 - x - 1103. What is l(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -934*l**2 - 8*l + 8. Let g(m) = 933*m**2 + 9*m - 8. Let s(o) = -3*g(o) - 4*p(o). Let u be s(8). What is u rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/125, -0.498, -1 in descending order.\nAnswer: 4, -2\/125, -0.498, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(10)\/sqrt(2) + 1)**2 - sqrt(5)).\nAnswer: sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1046037.\nAnswer: 3, 431, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.154 and -87.2.\nAnswer: -87.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 217 - -604?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000010 (base 2) to base 6.\nAnswer: 12522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a factor of 85623869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Solve 0*x - p = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**3\/3 + 2*p**2 + 39*p. Suppose -8*t = -3*t - 30. Calculate b(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 67 - 380*d**2 - 28*d - 21*d + 49*d as o*d + r + m*d**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2*-2)\/(51\/3). Which is the third smallest value? (a) 0 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648671, 648682, 648717, 648788, 648907, 649086, 649337, 649672?\nAnswer: 650103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (200\/32)\/(15\/(-24))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((4*sqrt(88)*-1 + sqrt(88))\/(sqrt(648)*-6))**2.\nAnswer: -659\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - -8) + -12 - (1 + -3546).\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2233 + -1490. What is the remainder when a is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1741, -3488, -5237, -6988?\n\"Answer: -k**2 - 1744*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*t = 31, 5*t - 26 = -0*o - 2*o. Let g(z) = z - 4. Let i be g(o). What is the units digit of (i*2 - -1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 12*x - 7*x = -40, -74*p + 242 = -4*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -674 - 941. Sort 4, -5, j in ascending order.\nAnswer: j, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -233 - 31?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 - 1?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(-5 + 4*(-5*-2*sqrt(147) + 5)))**2 + 1).\nAnswer: -42376505 - 1512000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(9072) + sqrt(63))\/(sqrt(1089) - -2*sqrt(1089)).\nAnswer: -23*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 27 = q, -3*q + 16 = -k + 5. Solve -2*r**q + 8 + 5*r**2 - 5*r**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -66c06b?\nAnswer: 66c06d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 16.4 (b) 0.5 (c) 2\/7 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163316, -326652, -490010, -653390, -816792?\nAnswer: -980216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -170, -168, -166, -164, -162?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144684706.\nAnswer: 2, 11, 83, 211, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/1701? (a) 4 (b) -1\/10 (c) -3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a - 22. Let o be (6\/18 + (-8)\/6)*0. Calculate h(o).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 1. Let j be 0 - (5\/(-15) - (-2)\/6). Suppose j*g - 8 = 2*g. Let z(x) = -x. Let a(u) = -u. Let d(o) = -2*a(o) + 3*z(o). Give g*d(r) - 3*f(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 7 (b) 2 (c) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/9 - 2\/6. Let q(u) = -g*u - u + 0*u. What is the tens digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 309.00000271 + -309. Round z to 7 dps.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 275? (a) -22 (b) -0.1 (c) -0.08 (d) 0.4 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f - 10409 - 8792 = 191. Which is the closest to 2\/9? (a) -1 (b) -2\/7 (c) f (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -91 - 234. Let v be t - (-1 + (-3)\/(-1)). Let k = 157 - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 12:41 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5140*y + 28*y**3 + 228*y**2 - 29*y**3 + 5139*y to the form z*y**3 + r*y**2 + i*y + j and give r.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316039 is divided by 16097?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.3 + -3.86. Let g = d - -7.56. What is the biggest value in g, 2\/5, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97179 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 24. Let u = p - -3. Calculate the highest common factor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 17)\/(3\/4). Let a be 38\/3*12\/8. Let q = a - 7. Calculate the greatest common factor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 5*t + 22 = 8*u, t = 2*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**3 + 6*w**2 - 2*w. Let c(a) = 6*a**3 + 5*a**2 - 2*a. Determine 6*c(m) - 5*u(m).\nAnswer: 11*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 7 = h. Let u(i) = 4*i**2 - 1. Let a(k) = k**2. What is h*u(j) + 6*a(j)?\nAnswer: 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2120 + -326479\/154. Let y = -3\/22 - o. Which is the smallest value? (a) y (b) -4\/7 (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004453 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -6 + -4 + 2 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 + 12*y + 2. Let h be p(6). Find the first derivative of -6*n**2 + 1 - 5*n**2 + 11*n**h - 18*n**3 wrt n.\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-4*(-1 - 0))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 17472846?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(1\/4))**32*(((j*j**(-2\/7)*j*j*j)\/j*j)**(-35))**0 assuming j is positive.\nAnswer: j**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 18*l**2 - 19*l - 91. Let p be y(-7). What is the highest common divisor of p and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*w - 99346, -10542 = -5*w - 4*k + 113621. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from bknkkmnnknbnkbppk?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -8434543 smaller than -8434489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 10) to base 4.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 4*l**2 - 7*l + 5. Let z(m) = m**3 - 3*m**2 + 7*m - 5. Let t(p) = 3*x(p) + 2*z(p). Let y = -2 - -7. What is t(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344 (base 9) to base 14.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5720856 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2)*((-308)\/12)\/(-7). Suppose -15*y + a*y = -436. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60678518*i**2 + 326670893*i.\nAnswer: -121357036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.373272 times 4?\nAnswer: -205.493088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 - 6*j**3 + 4*j + 3*j**3 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1.9, 0, 0.164, -5, -0.6, -8?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -14332000 to the nearest one hundred thousand.\nAnswer: -14300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 8*n + 11. Determine g(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5087*y - 5088*y - 1 = 0. Let d(h) = h**3 + 8*h**2 - 7. Let p be d(-8). Let g(l) = -l**2 - 8*l + 5. Let b be g(p). Sort y, b, -5 in descending order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21186, -42519, -63852, -85185, -106518?\nAnswer: -127851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.286643 decades to years.\nAnswer: 82.86643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-2*k + 2*k - 2*k**2) + k**2 + 4*k**2 - 3*k**2 + 4*k**2 - 5 + 5 + 2 - 3*k - 1509*k + 750*k - 25*k**2 + 751*k.\nAnswer: -15*k**2 - 11*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 - 200*r + 161 - 1067 - 487 - 1107 = 0. Calculate r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/7 + 22*s**2 - 2*s\/7 - 22 = 0. What is s?\nAnswer: -77, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h - 19. Let i(p) = 19*p - 38. Let s(o) = -2*i(o) + 5*j(o). Let k be s(3). Find the first derivative of -30 - r + 3*r + k*r + 6*r wrt r.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1897 - 1880. Suppose 4*j - 11*j + 35 = 0. Put 2\/31, -2, j, k in descending order.\nAnswer: k, j, 2\/31, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 232 + -224. Solve -8 = -4*u + 4*b, -3*u - 2*b + 4*b + c = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 1\/6*n**4 - 2*n**2 - 3*n + 1\/60*n**5 + 2\/3*n**3 + 0. Let y(j) be the first derivative of q(j). Factor y(p).\nAnswer: (p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-46)\/18)*4234\/232 + -8?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 6*t - 6. What is d(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -5*sqrt(65)*2) + sqrt(65)*1*-4)*3)\/(-6*sqrt(320)*-3*-4).\nAnswer: -7*sqrt(13)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 86 (b) -1.3 (c) -5 (d) 11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -19*d**2 - 37*d + 33. Let o(t) = 9*t**2 + 19*t - 17. Let f(a) = 2*m(a) + 5*o(a). List the prime factors of f(8).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d93 (base 15) to base 3.\nAnswer: 22211110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129230962?\nAnswer: 2, 3, 167, 211, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2544 is divided by 45.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74, -1\/15, -2\/803, -0.5?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 352 + -311 + (-23 - -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-925\nAnswer: -83.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 17. Let d be l(13). Suppose d*y + 30 = 5*y. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -2*f + 4*f - 2*d, 4*f + 4*d + 160 = 0. Let q = 34 + f. Sort 4, q, 0 in ascending order.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3440115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8*a - 11*a = -50, 0 = -5*t - 5*a + 60. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**4 - 65*b**3 - 737*b**2 wrt b.\nAnswer: 96*b - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12527 + 3*n**2 + 25090 - 12540.\nAnswer: 3*n**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52836\/(-1190)*5\/(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-23)\/l)\/l**(-5\/3))\/(l**(-30)*l*l*l*l*l\/(l**3*l)) assuming l is positive.\nAnswer: l**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -407278756*z + 492625882?\nAnswer: -407278756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + h)*(-3*h**2 + 2*h**2 + 0*h**2) + 9*h**3 - 2*h**3 - 3*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k. Let t(z) = -13*z + 15. Let j(m) = 560*m - 650. Let y(b) = -6*j(b) - 260*t(b). Give w(y(f)).\nAnswer: -220*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwiwbdwswiwdsdw. What is prob of picking 2 i, 1 w, and 1 d?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/8 + 323*m**2\/4 - 1965*m\/2 + 2961 = 0. What is m?\nAnswer: -658, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*k - m - 13057, 5*k - 5*m = 32580. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 3162061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13771415 is divided by 51?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-6 - -1 - (-3 - (-9 + 4))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from uuvvuvvvuu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.280547 rounded to two dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**4 - 5825*y**3 - 120120*y**2 + 2000*y + 2288000 = 0 for y.\nAnswer: -1144, -20, -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 11. What is x(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91718195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y - 5*y**3)*((0 + 0 - 1)*(5*y + 1 - 1) + 4*y - 2*y + 0*y)*(-4 + 2 + 0).\nAnswer: -30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**6\/120 - 7*j**5\/80 + 415*j. Solve v(m) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1004376 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 11*y + 25. Suppose -2*q = -6 - 18. What are the prime factors of s(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -426 (b) -285 (c) -5 (d) 3\/5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/132 + -3*(-8)\/(-144). Which is the second biggest value? (a) x (b) -0.1 (c) 0.2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924 divided by 18225\nAnswer: 308\/6075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 9. Suppose -5*l = -11 + p. Suppose 3*q - 2*n = -2*q + 73, -l*q + 3*n + 27 = 0. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -498*c**3 + 1227?\nAnswer: -1494*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -5*i**6\/6 - 4*i**3\/3 + 5*i + 42. Find the third derivative of m(v) wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/12*(8 + (-13 + -3 - -2)). Let g(y) be the third derivative of -10*y**2 + 8*y**3 + 0*y - 2 - y**u + 1\/20*y**5. Factor g(m).\nAnswer: 3*(m - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2512*8.896.\nAnswer: 22346.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*r**2 - 29*r + 110*r - 36*r - 42*r.\nAnswer: -38*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -729 + 733. Factor -4*s**n - s**5 - 436*s**2 + 2*s**4 + 15*s**3 + 461*s**2 + 10*s - 3*s**4 - 4*s**5.\nAnswer: -5*s*(s - 2)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-3746)\/(-4)*(532\/(-342))\/((-2)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1559 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -493136, -1976326, -4448310, -7909088, -12358660, -17797026?\n\"Answer: -494397*v**2 + v + 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:04 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 185976 = -17*t. Let y be (3 + 195\/(-66))\/((-21)\/t). Is y less than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 13*2 - 31\/31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 0, 1, -4201 in ascending order.\nAnswer: -4201, 0, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 e when four letters picked without replacement from {j: 4, f: 1, o: 5, e: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -11 - -7 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 508099779 from 1.\nAnswer: -508099778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -116, 3\/5, 0.01, 10\/13, 2\/19?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4 - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 11. Suppose 5*w + 21 = -4, 3*a - 37 = 5*w. Let g(t) = -t + 11. Let o(b) = a*r(b) + 3*g(b). Let h be o(8). Does h = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2) + (-1 - (1 - -1)). Let b be (-21)\/(k + (-25)\/(-20)). Is b at most 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 9*f**4 + 102*f**3 + 24*f**2 - 102*f - 33 = 0.\nAnswer: -11, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghggsghgghgsgh. What is prob of sequence sggh?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 4 = -20*r, 4*o = 2*r - 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 307 - 307 + 4*l. Is 21 a factor of x(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*h - 304 = -242*h. Solve h = 10*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74935 take away 6.11997239?\nAnswer: -74941.11997239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17799 and 3577250?\nAnswer: 182439750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -4, 2, -7\/4, -1197, 3 in ascending order.\nAnswer: -1197, -4, -3, -7\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 3*x - 5*j + 346, 3*x + j - 254 = 0. Is 2 a factor of x\/(-9)*24\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1143, -3.\nAnswer: -1143, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/3 - 28*i**4 + 1360*i**3\/3 - 1316*i**2 - 5390*i\/3 = 0. What is i?\nAnswer: -55, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.341 + 11.841. Put k, 0.2, 0.4, 33 in descending order.\nAnswer: 33, 0.4, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) 1\/6 (c) -2\/7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 5*z**2 - 5*z - 4. Let d be y(-4). Suppose d = 4*p - 5*p + 24. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 times 0.011?\nAnswer: -1.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (560\/44)\/(-4) + 3. Let b = 19.3 + -19. Sort 1, w, b.\nAnswer: w, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/2 and 53\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.4 * -43513.4\nAnswer: 191458.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -112*k + 3. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2 + 542*y - 920.\nAnswer: 2*(y + 92)*(3*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168531297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**3 - 171*x**2 - 513*x + 300.\nAnswer: -3*(x + 4)*(x + 25)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 1\/2948?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**23)**(-14\/5))**(-1\/42) assuming g is positive.\nAnswer: g**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -13*m + 3*m. Which is greater: m or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1129629 - 2019629. Round p to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -118 and 4.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v - 3*v - 3*v**2 + 3*v**2 + 2*v**2 - 3*v**2 + (1 - 1 + v)*(v - 1 + 1) + 7*v**2 - 3*v**2 - 2*v**2 + v**2 - 6*v**2 + v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.002.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 1. Let n(o) = o**3 + 9*o**2 + 15*o + 2. Let f(d) = 4*g(d) - n(d). Let a be f(-8). Suppose 5*t - a = 4. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219227 rounded to the nearest one thousand?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/11 - 151584*j\/11 + 2872213632\/11 = 0 for j.\nAnswer: 37896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - (-2 - -1) - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3720\/(-110) - -34)\/((-6)\/(-33)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313668299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 748, 774, 826, 916, 1056, 1258, 1534?\n\"Answer: 2*m**3 + m**2 + 9*m + 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**6\/y)*y*y*(y**4*y)\/y*(y*y*y**4*y)\/(y\/y**(-3)))\/(y**(2\/7)*y*(y\/((y**(-2\/3)\/y)\/y))\/y)**(-10\/11) assuming y is positive.\nAnswer: y**(1985\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 0.1 (c) 4 (d) 50 (e) 0.2138\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:26 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -2205005?\nAnswer: -2205012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/((z**1*z)\/z*z))*z)**(-9)\/((z\/(z**(6\/7)\/z)*z)\/z**2) assuming z is positive.\nAnswer: z**(-253\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15567 is divided by 200.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:31 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84944063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-18\/5)*o*o\/(((o**(2\/115)\/o)\/o)\/o))**35 assuming o is positive.\nAnswer: o**(7714\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 8 = 23. Let i = 9 - r. Suppose 12*p - 272 = i*p. Calculate the lowest common multiple of 2 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -12\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77283693?\nAnswer: 3, 2862359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3572 + 3572.4. What is the nearest to 3 in v, -0.4, 84, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.7 in 2\/5, -13, 29, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/3 - 1472*l\/3 + 43112 = 0. What is l?\nAnswer: 102, 634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 4*t**2 - 6. Calculate the remainder when w(-3) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2552, 10076, 22608, 40142, 62672?\n\"Answer: -o**3 + 2510*o**2 + o + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)**(3\/4)\/(((y**(-1\/2)\/y)\/y)\/y*y\/((y\/y**(-6))\/y*y)))**(-50) assuming y is positive.\nAnswer: y**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 281214*u - 30055551.\nAnswer: -3*(u - 93631)*(u - 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189186542 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, 5, 9, 15, 23?\n\"Answer: v**2 - v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Suppose j = g - 2*a - 19, 2*a = -3*g + a + 43. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -251*h*y**2 + h*y + 34103187*h + 6028*y**2 - y wrt y.\nAnswer: -502*h*y + h + 12056*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 2. Let l(r) = 3*r - 1. Let k(i) = -l(i) - 5*v(i). Let m(b) = b - 2. Let s(h) = -2*k(h) + 9*m(h). Determine s(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437021 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 29*s - 2*s**2 + 3*s**2.\nAnswer: s**2 - 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 4*a + 47. What is the units digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(250)\/sqrt(5) - sqrt(50)) + 3)**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l - 127653 = 26*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 14, e: 5}. Give prob of sequence fe.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 830055.4 milligrams?\nAnswer: 0.8300554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 - 2*f + 7. Let m(t) = t**3 + 5*t**2 - 216*t - 16. Determine -2*c(s) - m(s).\nAnswer: s**3 - s**2 + 220*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11732717 divided by 5\nAnswer: 11732717\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o. Let a be 8\/2 - (0 - o). Solve -a*i = -3*k + 8, -3*i - 6*k = -2*k - 19 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12440406*w**4 + 9*w**2 - 567029498.\nAnswer: 49761624*w**3 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265 - 165. What is the greatest common divisor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 127 + -83. Suppose -v = 3*v - h. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -1\/12*j**4 + 7\/2*j**2 + 4\/3*j**3 + 0 + 5*j. Determine x(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 4*l - 1. Let m be q(3). Suppose 6 = -m*s + 46. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + t + 2*t)*((0 - 3 + 0)*(2*t - 2 + 2) + (102 + 34 - 1)*(3*t - t + 0*t)) to j + r*t + s*t**2 and give s.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 52976\/(-12936) - (-2)\/21\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*v - 12. Suppose -2*j - v = -3*j. Calculate the remainder when 23 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68067992 by -66214.\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5911, -47326, -159745, -378676, -739627, -1278106?\nAnswer: -2029621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4 = -3*t, v - 3*v + 4*t - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -11 + 26. Let q be ((-12)\/21)\/((-12)\/14). Let n = -1\/115 - 223\/805. What is the closest to -1\/2 in q, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*b*n - 4*a*b*s + 3*a*n*s - 2066*a*s + 2*b*n*s - 2611*b*n - 23*n*s - 2*s - 2 wrt a.\nAnswer: 4*b*n - 4*b*s + 3*n*s - 2066*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 19*r**2 - 90*r - 4. Let g be l(-11). Let o(u) = u**3 - 19*u**2 + 17*u + 71. Calculate the remainder when o(g) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705 and 6670945?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*g + 60*g + 9 - g**2 - g**2 + g**2 + 53*g.\nAnswer: -g**2 + 37*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 + 0*r + 0*r)*(3*r**2 + 2*r**2 - 3*r**2) - 2*r**5 + 4*r**2 - 4*r**2.\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3755030883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7091\/16 or -443?\nAnswer: -7091\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/44 + -2\/11. Let i = -1 - -1. Suppose i = -2*j + 4 - 10. Which is the closest to -1? (a) j (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 50 = -2*u. Solve 3*f + 3*o = 18, -u*f + 3*o - 12 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-12)\/792*(-18)\/16?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(13\/5)*c**(-16))**(-16\/7) assuming c is positive.\nAnswer: c**(1408\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -2 (b) -11390 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.04 + -1.97. Which is the fourth biggest value? (a) 0.1 (b) 5 (c) -2\/15 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t**5\/5 - 16174*t**4\/5 + 51296*t**3\/5 - 8200*t**2 + 5856*t\/5 = 0 for t.\nAnswer: 0, 2\/11, 1, 2, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173381.\nAnswer: 13, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + sqrt(275)*2)**2 + -3.\nAnswer: -160*sqrt(11) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-189)\/(-6))*-3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51575 is divided by 580?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/2143?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxc when four letters picked without replacement from {p: 1, x: 2, q: 1, f: 1, c: 2, r: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000111111101101111111 + -1?\nAnswer: -10000111111101110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -85. Solve f*a - 8*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*z**2 + 131558*z - 46428.\nAnswer: -2*(z - 3869)*(17*z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 103. Let o(b) = -2*b + 28. Let p(w) = -11*o(w) - 3*x(w). Let z(n) = -6*n**2. Calculate z(p(u)).\nAnswer: -6*u**2 - 12*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**6\/120 - 7*x**5\/60 - 5*x**4\/24 + 5*x**3\/6 + 7*x**2\/2 + 12*x. Let r(n) be the first derivative of o(n). What is r(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -3. Let j = -0.67 - -0.87. What is the biggest value in d, j, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (7 - -8 - 11 - 25)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*k - 40 = 0, 3*p - 5*k + 25 = -16. Let w be -1 - ((-54)\/21 + 1). What is the third smallest value in -2\/11, w, -0.4, p?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4670\/(-422635) - ((-45340)\/(-1629))\/(-5).\nAnswer: 50\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 5*a**2 + 8*a**2 - 5*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r = 7*r - 192 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/10 and 267 + -267 - 2\/(-1964)*85?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-7)*y**(-11\/4)*y**(3\/13)\/(y*y**(-2\/25)) assuming y is positive.\nAnswer: y**(-13571\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 92. Let k be y(0). Suppose 4*f + k - 268 = 0. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 23*d + 1. Give r(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**3*n*n\/(n*n\/n**(-1))*n*n**9*n*n*n**(-14) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-1 - (1 - 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -21*((-4)\/(-14))\/(-1). Is 13 a factor of 27\/(-6)*-9 - w\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 938*w - 30. Let s(c) = -186*c + 6. What is 11*s(n) + 2*y(n)?\nAnswer: -170*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927564 is divided by 481878?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 15*w + 7. Let y be m(-15). Suppose -16 = -4*a + 4*s, a - 11*s - 10 = -y*s. Solve 2*l = -l - a*h - 12, 2*h + 16 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 6:06 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - 0.4. Let c = v + 1. Let y = 3136 + -3141. Sort c, 2\/3, -0.4, y.\nAnswer: y, -0.4, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 2)*(-3*v**5 + 20*v**3 - 2 - 20*v**3).\nAnswer: -21*v**5 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) -4\/35 (c) -15 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1210649001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -20. Let n be (4\/(-3))\/(2*(-4)\/36). Which is the closest to 1\/4? (a) -0.1 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 42*p - 118. Give g(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-14)*40\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153e (base 15) to base 13.\nAnswer: 20c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3092\/(-6)*((-39)\/12 - -4). Let n = u + 416. Calculate the common denominator of n and (-2)\/5 - (-2093)\/1120.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -314\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**4 - 5*m**3 + 5*m**2 - 4. Let g(a) = 10*a**4 + 4*a**3 - 4*a**2 + 5. Let i(w) = 5*g(w) + 4*o(w). Differentiate i(c) with respect to c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {t: 3, a: 1, x: 5, u: 3, i: 6}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 380\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8061)\/(-13) - (-1)\/(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16488278.291 + 16488384.29100081. Let p = -2 + -104. Let f = k + p. What is f rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588292.\nAnswer: 2, 147073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 874 (b) -0.2 (c) 0.01 (d) 1\/3 (e) 0 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2469*z - 348*z = -230994 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*w = -1864, -4*q + 5*w - 1511 = -0*q. Let v = 379 + q. Solve -v*u = -4*u + h - 1, 2*h = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 152\/10)*(-15)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99972?\nAnswer: 2, 3, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -465 + 2329\/5. Which is the closest to -10? (a) -2 (b) w (c) 0.2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(104)*2)\/sqrt(8) + (((sqrt(78) - (sqrt(78) + -2*sqrt(78) - sqrt(78))) + sqrt(78))\/sqrt(6) - ((1*sqrt(117))\/sqrt(9) + sqrt(13))).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(243)*3)**2.\nAnswer: 2183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/42)\/(2 - 95\/30).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 - -4.052146985?\nAnswer: 1335.052146985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -16 + 1. Suppose 5*v + n = 77, v - 65 = -4*v - 5*n. Suppose w*z = v + 154. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 10.7.\nAnswer: -3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/6 + 601\/18. Let i = 101\/3 - y. Do i and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.75 + -0.91. Put 0.2, o, 4 in descending order.\nAnswer: 4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 17028.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m + 4. Let k = -41 - -41. Suppose k = 7*b - 13*b + 138. Solve b = h + 5*u, 0 = 5*h + 4*u - 6 - m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134*r**5 + 1093*r**2 + 0*r**3 - 974*r**2 + 14*r**6 - 2*r**3 - 39*r**6 + 4327*r**2 wrt r.\nAnswer: -3000*r**3 + 8040*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b + 185*b - 2660 = 0. Calculate the remainder when 2158 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66192 = -1207*u + 18867 - 8197 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1159.136 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.305 and 0.9.\nAnswer: 0.2745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 1) + (16 - 16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -120c - -157?\nAnswer: -10a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2684897\/37 + -72559. Let w = -2279\/444 - a. What is the common denominator of w and -37\/116?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78 - 175 - -43) + (-1 - -34).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 3*n**3 - 5*n**3.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316459636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 45. Give h(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 44*w**2 + 141116*w\/7 + 1537680\/7 = 0.\nAnswer: -447, -860\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45897 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(459\/1226) + (-24)\/(-36) + 572\/(-66)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) -2 (b) 0.3 (c) 80 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29640 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65481*t + 65481*t + 54*t**2)*(-2 + 3 - 2) to the form s*t + v + n*t**2 and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -324*u**6 - 48*u**5 + u**3 - 1233*u**2 - 2*u + 12 wrt u.\nAnswer: -38880*u**3 - 2880*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - q + (0 + 0 + 1)*(-2*q - 1 + 1) + (-1 + 4 - 4)*(-7*q - 4*q + 0*q))*(-2*q + q**2 - 3 + 3).\nAnswer: 8*q**3 - 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80.25 + -80.19. Which is the fifth smallest value? (a) 3\/4 (b) -2\/3 (c) r (d) -3\/2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 7:43 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/40)\/(6\/45*-3). Which is the smallest value? (a) -3\/7 (b) -3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {j: 8, a: 5, r: 2}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21907 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 18 and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 516 divided by 43\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23754 and 42?\nAnswer: 166278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/4*z**4 - 7\/2*z**2 - 5 + 3*z**3 - 8*z. Let p be r(8). Solve p*f = -f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (428 + -411 - (0 + 23)) + -9.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 0*w**3 - w**3 - w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 20153\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14223942 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: What is 64\/5 of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415013 is divided by 5263.\nAnswer: 4499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 4*f + 4 - 242550*f**2 + 242299*f**2 to i*f**2 + v*f + p and give i.\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10642, 21168, 31694, 42220, 52746?\nAnswer: 63272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015935 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewipc. What is prob of sequence pi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/2 - (-1)\/(-2). Let h = v - 17. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0296 + 182552760\nAnswer: 182552759.9704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5 + 3. Suppose t*r = r + 54. What is the least common multiple of r and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (-29)\/((-203)\/10374)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0535 - 0.2698. Let q = 4.0853 + k. What is q rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 3}. Give prob of picking 2 z.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 16. Suppose -p*i = 2569 - 14240. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9908577.0699732 - -9908207.07. Let r = z - -370. What is r rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -546.1701044 + 194.3168301. Let a = q - -0.0022743. Let w = -352 - a. What is w rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*x + 40, 0*z - z - 3*x = -2. Let v be (0 + 6)\/(z\/40). Suppose 0 = -4*r + 3*r + v. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 - -537. Let i = q + -2481\/7. Factor -2\/7*f**2 + 2\/7*f + i.\nAnswer: -2*(f - 2)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let a(t) = 5*t**2 + 0 - d*t**2 + 0. Suppose -y + 3*r - 14 = 0, r - 5 - 3 = -3*y. Give a(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -296*t - 4162. Let g be p(-14). Sort g, -2.5, 1\/3.\nAnswer: g, -2.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1558792 by -103.\nAnswer: 1558792\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4047, 8095, 12143, 16191?\nAnswer: 20239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 1 + 1\/3*h**3 + 1\/3*h**6 + 0*h**4. Find the third derivative of g(q) wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9 and -29\/843?\nAnswer: 2529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188566762.\nAnswer: 2, 251, 375631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*k + 9 = -406*k + 3*j, -3 = 3*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15109010, -15109009, -15109008, -15109007, -15109006?\nAnswer: -15109005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11232 - -1?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/15*-1*(-31615)\/2. Is (-3 - q\/24) + (-21)\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*-4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 6 (c) -0.08 (d) -0.4 (e) 4\/5 (f) -9\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 39\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*w = -475*w - 607 - 589 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2779 - 2863. Solve 2*w + m - 20 = -i, -19 = 5*i - 4*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10*l - 243552 = -c, -2*c = -27*l + 1315203. What are the prime factors of l?\nAnswer: 3, 13, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23356*l + 1663737 = 612717 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-15) + (-180)\/(-25). Solve -f - 4 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:28 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 81 = 5*j, 5*o + 18 + 2 = 0. Let a(c) = 2*c - 28. Let f be a(j). Is (14625\/6)\/15 + f\/4 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 15 - 32 + i**3 - 49*i)*(4 - 3 + 1).\nAnswer: 2*i**3 - 98*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = 3. Let y be -2 - ((-10)\/7 + q). Let j be 3 + (3 - 12\/3). Which is the biggest value? (a) y (b) 0.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -310.402 + 313.1. Let n = -2.715 - -0.015. Let x = b + n. Round x to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.21*0.2\nAnswer: -0.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 54*x**3 + 2*x**2 + 11*x - 2. Let w(l) = -163*l**3 - 7*l**2 - 32*l + 7. Calculate -2*w(o) - 7*y(o).\nAnswer: -52*o**3 - 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*q + 9. Let z(u) = -u**3 - 5*u**2 - 2*u + 5. Let s be z(-6). Suppose -5*m + s = -17. What is the least common multiple of m and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 5*k**2 - 7*k - 7. Let y be l(-6). Let t be (y\/(-3))\/(2\/6). Let w = t + 9. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of z**3\/3 - 2*z**2 + 9. Let p be u(5). Suppose 4*f + 19 = p*g - 98, 15 = -5*f. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -330*b + 53. Is x(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109213, 218453, 327735, 437077, 546497, 656013, 765643, 875405?\n\"Answer: 3*z**3 + 3*z**2 + 109210*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12166757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -382 - -388. Find the third derivative of 66*h**6 - 26*h**6 + h - 17*h**6 + 20*h**2 - 22*h**u - 73*h**4 wrt h.\nAnswer: 120*h**3 - 1752*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35688011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*o + 16*o**4 - 44*o + 4*o**4 + 5*o**4 - 5*o**4 + o**4 - 2*o**4 + 4*o**4 + (0*o - 4*o + 6*o)*(4*o**3 - 2*o**3 - o**3))*(-3*o + 2*o + 2*o).\nAnswer: 25*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + s + 7. Let h be q(4). Let f = -1 - h. Solve 2*r - 2*d = -f, 1 = -d - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 324, 741, 1328, 2085?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46431456, -46431438, -46431386, -46431282, -46431108, -46430846, -46430478?\nAnswer: -46429986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54777877.\nAnswer: 7, 11, 617, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -67.\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6294 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:01 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(12) - (sqrt(2) + 0)*6) + (sqrt(2) - (sqrt(2) + -1))*-3 + sqrt(2) + (2*sqrt(18))**2.\nAnswer: -2*sqrt(2) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:29 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 915.7451 grams?\nAnswer: 0.9157451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 0*m**6 + 1\/168*m**8 + 0*m + 0*m**3 - 3*m**2 + 1\/15*m**5 + 0 - 2\/105*m**7 - 1\/12*m**4. Solve c(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866437940 divided by -223365?\nAnswer: -8356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*s = 152 - 52, -q - 3*s = 8. What is the common denominator of (-24)\/(-32) + 6\/4 and (73\/(-5))\/(48\/q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 + a - 8. Let d(p) = -3*p**2 + 10*p**3 - 4 - 4*p**3 - 3*p**3 + 7*p**3. Let x(r) = d(r) + 3*s(r). Determine x(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -69 in 3, -3, 1, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71325837\/2538 + (5\/6 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.5 + 3. Let l = 0.718 - 0.318. What is the second smallest value in o, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 740, 1481, 2224, 2969, 3716, 4465, 5216?\nAnswer: 5969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4212 by -78.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 24*b + 150. What is i(-24)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.16 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 11579*d**2 - 347343*d\/5 - 521001\/5.\nAnswer: -(d + 3)**2*(d + 57889)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/288 and -1\/21.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 1 - 1)*(-2*t + 6*t - t) + (t**3 - t**3 + 4*t**3)*(-3 + 5 + 2).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192298334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15970684841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1644 and 73\/32.\nAnswer: 13152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*y + 10, -4*y = 3*q + 5 + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 148*j**2 + 83*j - 5981. Calculate n(74).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -334 (b) 5 (c) -2\/7 (d) -3\/4 (e) 3 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 14)*(-1)\/(-3). Let r = -22 + 25. Suppose -q + 0 + 34 = r*h, 3*h + 76 = 4*q. Solve 2*o = 4*o + j*f + 22, -5*o + f - q = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*g**3 - 524*g**3 - 951*g**3 + 713*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -1 + 5*i**4 + 3*i + 0*i**3 - 25\/2*i**2. Differentiate b(p) wrt p.\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -0.1, 3, 133 in decreasing order.\nAnswer: 133, 3, -0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from bbicbviibciiv.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*l - 3456, 0 = 3*n - 0*l - l - 10388. List the prime factors of n.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 23 = -k, -5*z - k - 3*k = 29. Let t(y) = y**2 + 10*y + 7. Let a be t(z). Suppose 8*w = 488 - 480. Put a, w, 5, -1 in increasing order.\nAnswer: a, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -47\/3. Let f be (-1)\/(-4) + (-158)\/(-8). Suppose -o - f = 3*o. What is the second smallest value in o, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 68*q**2 - 63*q + 53. Determine s(69).\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1003, -2010, -3019, -4030, -5043, -6058, -7075?\nAnswer: -8094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 3*c - 1. Let s be d(7). Let h be 4\/18 + s\/45. Solve 2*u - h*z = 7*u + 6, 6 = -2*u - 3*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000410295 rounded to seven dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98262685?\nAnswer: 5, 19652537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -944, -1416, -1888, -2360?\nAnswer: -2832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2)\/6*(2 + 0)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 4*q - 4. Let u be v(3). Suppose 2*n + z + u = 4*z, 5*n - 5*z = -30. What are the prime factors of 19 - (n + (-16)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17371 or -17370?\nAnswer: -17370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -109*z**6\/6 + z**5 - 4*z**3 - 4*z**2 - z - 7180. Find the third derivative of d(m) wrt m.\nAnswer: -6540*m**2 + 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 733\/7 - (-24)\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**2 - 19*y**2 - 64*y**2 - 29*y**2.\nAnswer: -140*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 5 = 0, 0 = -10*p + p - 4*r + 659. Solve -54*y + 253 = -p for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**5 - 975*m**4 + 59130*m**3 - 813510*m**2 - 17782335*m - 44348715 = 0. Calculate m.\nAnswer: -9, -3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-12))\/((-2)\/6). Let n be 2\/(-3) - (-64)\/6. Suppose -3*j - k + n = 4, -4*j = -k - u. Let v(f) = 4*f**3 - f**2 + 1. Calculate v(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-6 - (7 + -15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpfkvkkvqvvkv. Give prob of sequence pkpf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30689215889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8429, 16926, 25417, 33902, 42381?\n\"Answer: -3*o**2 + 8506*o - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2626440 and 18060?\nAnswer: 18385080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 2*i + 1. Let b be c(-2). Suppose -2*o = 3*v - 225, 58 = -v + 2*v - b*o. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svkskvksk. What is prob of picking 2 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614 + 456 + 449 + 9*g + 446 - 1971.\nAnswer: 9*g - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*f - 169 + 29 = 0, 0 = 3*f. Let j = -25 + a. Solve -j*g = v, 0 = 4*g + v - 4*v - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 2*q - 1. Let p(m) = 6*m - 8. Determine -4*l(g) + p(g).\nAnswer: 4*g**2 - 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -100 - 4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -20*q - 110. Let h be n(-19). What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-10)\/(-6). Let z = 26 - 24. Which is the second smallest value? (a) -2 (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1368*z + 1022*z + 1317*z)*(-1 + 1 + 2).\nAnswer: 1942*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o\/(o\/o**(1\/2))))**0)**(-9)\/((o**(-3)\/o*o**8\/o)\/((o\/(o**(-1\/6)*o*o))\/(o*o\/o**(1\/4)))) assuming o is positive.\nAnswer: o**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2032 - 4?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4764000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19647 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 113*x - 60.\nAnswer: 113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 + 72654*h**2 - 3 + 72116*h**2 - 146928*h**2.\nAnswer: -2158*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4156.83 + -4158. Round t to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 62*j**3 - 4*j**2 + j. List the prime factors of y(2).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 717*f**3 + 229666*f - 114827*f - 114830*f + (-5*f**3 + f**3 + 5*f**3)*(-3 - 1 + 6) in the form m*f**2 + g*f**3 + n*f + i and give g.\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3172, -3182, -3206, -3250, -3320, -3422?\nAnswer: -3562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11465 + 15805175.\nAnswer: 15816640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from wwlwllw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128 (b) -262937 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*z - 4*t + 3, 4*z + 5*t = 32. Let u = 92 + -88. Sort u, 1, z in ascending order.\nAnswer: 1, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 13*b**2 - 11*b - 2. Calculate i(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (105\/28)\/((-3)\/(-20)). Let y = x + -21. Solve -6*l = -y*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(4\/3)*a)**(-1\/8))**13)**(-24) assuming a is positive.\nAnswer: a**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57125, 115274, 173397, 231482, 289517?\nAnswer: 347490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p = 49*p - 4*n, -4*p + 4 = -2*n. Let v(d) be the first derivative of -8*d + 3 - p*d**2 + 4\/3*d**3. Determine r so that v(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 576315539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*m**2*u**4 + 750*m**2*u - 2*m*u**2 - u**4 wrt u.\nAnswer: -6672*m**2*u - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*c + 4, -11*c + 17 = 4*i - 6*c. Suppose 71*k + i = 75*k. Solve 3*d + 1 = 5*o - 0, o = k*d - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 10:37 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15719369 to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 91, 61 in descending order.\nAnswer: 91, 61, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 10*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44461.8 - -1638991.7.\nAnswer: 1594529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h + 2*h - 7*h - 6 + 6. Let d(j) = 102*j. Calculate d(l(b)).\nAnswer: -306*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -54 + 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/6)\/q)\/q)\/(q**(-10)*q))\/(q*q**1\/q*q)**(-43) assuming q is positive.\nAnswer: q**(557\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 1933533528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 135?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56584878 and 6756.\nAnswer: 113169756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/17)\/h**(2\/3))\/(h**(1\/3)\/(h\/(h*h*h**(2\/19)*h)))*(h**(2\/3)*h\/h**(2\/5))**(-13) assuming h is positive.\nAnswer: h**(-94256\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*x + 65 = 3*y - 203*x, 5*x - 461 = -83*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 492 + -523 + -1 + 82 + 38?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -u + 9*s - 6*s, -6*s - 19 = u. Let v(x) = x**2 - 9*x + 17. Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 56 (b) 92 (c) -2\/7 (d) 1 (e) 2\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39399687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 24 = -5*w - 14, -w = -f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7.2211 * -2\nAnswer: -14.4422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 151676100 to the nearest one million.\nAnswer: 152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + r - 112 + 37 = 0, -5*c - 5*r = 405. Suppose 2*t - 12 - 12 = 0. Is t\/c + 1003\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 10*p - 11. Suppose 42*c = 41*c + 7. What is the tens digit of a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 12*r**3 - 2*r**2 - 2. Let w be m(2). Let o be w\/((-1)\/200*-4). Round o to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/24 - 18\/(-8). Let g be 698\/(n - -1 - 1). Let b = g - 56. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5583*n + 5593*n - 2890. Solve 0 = 296*u - n*u - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:05 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:46 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 36*d - 75. Let p(t) = -3*t. Let x(j) = -15*j. Give d*x(r) - 18*p(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 182 + -49. Is a <= 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**2\/3 - 155370*i - 9323400 = 0.\nAnswer: -60, 466170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.6946 nanometers to millimeters.\nAnswer: 0.0003306946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 470 divide 6560248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 7*b - 76. Calculate the remainder when 78 is divided by s(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -4. Let v(a) = a**3 + 10*a**2 + 6*a - 5. Let s be v(q). Suppose s = r + 8. What is the remainder when 67 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.2 (b) -1\/6 (c) -276\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = 4*a - 4*o, 2*a - 4*o + 4 = 0. Let g be -2 + 12\/3 - a. Suppose 117 = l + g*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3885 is divided by 554.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**8\/112 - 3*y**4\/8 - 11*y**2 - 20. Let s(p) be the second derivative of l(p). Find the second derivative of s(r) wrt r.\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 35. Solve 0 = -2*t + 2, -7 = -s*d + 4*t - 2*t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**5\/3 + 1390*h**4\/3 + 81192*h**3 + 712736*h**2\/3 - 974336*h\/3 - 957728 = 0.\nAnswer: -346, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - 0.3. Let k be (-2)\/24*24\/(-9). Let v = -0.97 + 0.87. What is the closest to b in -0.2, v, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3481\/12 - 1101\/4. Let o be 3\/2 - 43864\/5061. Let c = o + 2\/5061. Find the common denominator of j and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 191862 and 408?\nAnswer: 767448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 11*w + 12. Suppose 2*u + u = -4*m - 15, w*m + 10 = -2*u. What is the biggest value in 2\/11, u, -2\/19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 91 + 81 = 5*x, -5*p = -2*x + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17785753307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -613098036 rounded to the nearest 100000?\nAnswer: -613100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21579*h + 22665*h - 44243*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 16) + 7 + 4 - 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 1 - 1)*(-7*q + 31 - 31) + 717 + 702 - 1436 - 5*q**4 to the form s*q + z*q**3 + c + j*q**4 + l*q**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5790786 and 1651.7?\nAnswer: 5789134.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ce + -3?\nAnswer: 3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.328 - -0.27. Round m to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91630 and 184364950.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) -3 (c) -0.55 (d) -1 (e) 0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(2448) - (sqrt(2448) - 3*sqrt(2448)*4)) + (sqrt(2448) - (sqrt(2448) - -1*sqrt(2448))) + -4))**2.\nAnswer: -38016*sqrt(17) + 10664064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 191812076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**4 - u**4 - u**4)*(-3477390 - 7129*u + 3477390).\nAnswer: 14258*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, 3, -1\/4, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1536 and 7\/2300736?\nAnswer: 18405888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**2 + 4*s + 0*s - 544 + 1049 - 522. Let b(i) = -i**2 - i. Calculate -4*b(y) - q(y).\nAnswer: -y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let w(m) = 3*m - 3*m - 33 + 2*m**3 + 29 - 2*m. Let q = 57 - 32. Suppose -3*g - q = 2*g - u, 5*u - 45 = 5*g. Determine g*h(s) + w(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.4446807 millimeters?\nAnswer: 0.0004446807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254 + 832 - 260 - 5*f**3 - 284.\nAnswer: -5*f**3 + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - q + 25 = 0, 3*q = 38*g - 43*g + 35. Calculate the smallest common multiple of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 + 5*f - 5. Let o(d) = 3*d**2 - 2*d + 2. Let m(w) = 2*b(w) + 5*o(w). Find the third derivative of m(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*g - 531 = -123. Which is the fifth smallest value? (a) 0 (b) g (c) 0.1 (d) 34.7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4485225 a multiple of 757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25*m**3 - 146*m**2 - 838*m + 187. Give l(-6).\nAnswer: 5359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 - f)*(-2*f - 4*f + 4*f).\nAnswer: 2*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50*0.27133.\nAnswer: -13.5665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43174, 43170, 43158, 43132, 43086, 43014, 42910, 42768?\nAnswer: 42582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 14. Let y be (66\/(-15))\/(1 + (-28)\/20). Determine c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from helhpxxp?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 11*z - 8. What is c(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((69\/(-21))\/(-23))\/((20\/756)\/5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3457352 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5890 and -0.4.\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3975531 divided by 7.\nAnswer: -567933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**4 + 45*p**3 - 45*p**3 + (-2*p**2 + 3*p**2 + p**2)*(p**2 + 4*p**2 - 3*p**2) in the form x + w*p**2 + r*p + j*p**4 + g*p**3 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - (-10 + 7))) + 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnp when three letters picked without replacement from qqqqpbbnpbpennq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.71497 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 - -0.5. Let r = -5.09 - -0.09. Let g = r - j. Which is the third smallest value? (a) g (b) 2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -22. Suppose -3*q - u - 19 = 0, 2*u + 33 + 0 = -5*q. Which is the third biggest value? (a) -3\/2 (b) r (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 + 5*d + 6. Let r be p(3). What is the hundreds digit of 1048 - r*(-4)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -170, 0.1462, -0.3?\nAnswer: 0.1462","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/9 - 1427*t\/9 + 2858\/9.\nAnswer: -(t - 2)*(t + 1429)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011000101011111 (base 2) to base 10\nAnswer: -45407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 26*q**2 + 32*q + 171. What is the remainder when 177 is divided by o(-27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -9, 5, -2\/13, 559\/4, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 1 - (-2 + 2). Suppose 0*b + 11 = 3*b + 5*m, 2*b = 3*m + 1. Suppose b*p - p = r. Put p, 16, -4, -2 in decreasing order.\nAnswer: 16, p, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/98356 and -41\/3752.\nAnswer: 1376984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/20*15\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 9. Let o be g(0). Is 4076\/36 - 2\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/50)\/4)\/((-3)\/90*3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/135*(-1)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2089.7 - 3647.7. Which is the second smallest value? (a) q (b) -5 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69215*0.029.\nAnswer: -2007.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - -55 - (9 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**3 + 52312*r**2 + 1981760*r - 4172800 = 0?\nAnswer: -13040, -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22\/9 + -43\/9. Let j = 150 - 148. Sort j, 0.1, p in descending order.\nAnswer: j, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -125447 + -3?\nAnswer: -125451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2297 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-27\/7))\/l**(2\/23))\/(l**26\/((l**(15\/8)\/l)\/l)) assuming l is positive.\nAnswer: l**(-27505\/1288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 186*u**2 - 1. Let a be q(-2). Let c = a - 298. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t*t**5)\/((t**(-1\/3)\/t)\/(t\/(t*t*t\/(t\/(t*t**0))))))\/((t**(-1\/2)\/t**(2\/7))\/(t**(-3\/4)*t**(3\/5)\/t*t)) assuming t is positive.\nAnswer: t**(1667\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 41. Give i(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*m + 48488, 7*m - 10*m - 48516 = -4*v. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470427011 plus -18?\nAnswer: -470427029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6805*c**4 + 369*c**2*g**3 + 11*c*g**3 - 271082*g**3 wrt c?\nAnswer: 81660*c**2 + 738*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**20)**(-5\/9))**(-2))**(10\/3))**(-3\/13) assuming v is positive.\nAnswer: v**(-2000\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**5 - 2*s**4 - 5*s**2 + 2. Let m(c) = -9*c**5 - 5*c**4 - 11*c**2 + 5. Let o(u) = -15*h(u) + 6*m(u). Find the third derivative of o(f) wrt f.\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*10*1\/(-55)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + r = -20, p + 18 = -3*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187827 and 87744.\nAnswer: 1371","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 64 = -f. Let k = 16 - -1. Let h = f - k. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 1108 - 460. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1272036000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1031216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 422*x - 21786. Give m(51).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4\/(-6))\/1)\/((-4)\/12). Let k(y) = 31*y**z - 279*y + 279*y. Let c(s) = -2*s. What is k(c(v))?\nAnswer: 124*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 20*n**2 + 44*n + 5. Let s be x(-22). Suppose 0 = 2*q + 7 - 1, 0 = s*i - q - 243. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41068408 by 10267102.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20 - 476\/24)\/(10\/(-18)). Let a(l) = l. Let d be a(3). Suppose d*m = -2*m. Is m at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-4)\/4 + 16. Suppose s + c = -0*s + u, -4*s = -3*c - 60. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4806 times -0.071\nAnswer: -341.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (7 + 16 + -10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/4601718 and 127\/4392?\nAnswer: 18406872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a kilogram in grams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:02 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 6*q**5\/5 + 5*q**2\/2 - 6. What is the second derivative of y(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -133, -460, -1003, -1762, -2737?\n\"Answer: -108*j**2 - 3*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18702 - -11866. Let o = -4093 - a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*v - 3*v - 2394. Is v at least as big as 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/5 or 0.046643?\nAnswer: 0.046643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1, 9\/13, -48, -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44241\/8 - -5540. Let p(v) = -375*v. Let n be p(1). What is the common denominator of n\/54*1\/5 and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34028 - -62?\nAnswer: -33856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 13*j + 10. Suppose -4*z + 5 = -3*z. Suppose -h = -z - 3. Is 16 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 266882.\nAnswer: -266888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z. Let b be n(1). Suppose b*m = -0*m. Solve -p + 2*r = 6*r - 7, 5*p - 3*r + 34 = m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(102) + sqrt(102))\/sqrt(6) + sqrt(51)\/sqrt(3)*-1 + 0 + sqrt(153).\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47600 is divided by 8661.\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12258.1 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 8 + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57.8 - -57.8408. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 5*h + 23, -3*h - h = -2*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 422 = -4*c, -5*c + 3*c = 4*h - 202. Let p = -102 + c. Suppose -p*b = -115 - 224. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 18, 44, 82, 132, 194, 268?\n\"Answer: 6*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = -3, 2*v = 4*n - 2. Suppose -n*l = -0*l - 32. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030107?\nAnswer: 3, 13, 61, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.37779 + -0.35174.\nAnswer: 16.02605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.086416195 to three dps.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(4 + (2*sqrt(75))**2)*5.\nAnswer: -38000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 17, g: 2}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 453, 680, 913, 1152?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185*a*x + 175*a wrt x?\nAnswer: -185*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230 + 1 = 33*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 1540?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2))\/(-5)*0. Suppose h = -i + 2 + 4. Solve -y + i*y + 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 4*t - 7. Let g be p(-6). Suppose -4*m - 3*o = 7, -g*o - 12 = -m + 15. Solve 0 = i - m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91822343\/25 - 3674349. Let z = o - -1455. Calculate the common denominator of -38\/7 and z.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 32*p**2 + 44*p + 1516. Determine w(-32).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -49 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 - 12*y + 13. Let b(w) = -7*w**2 + 25*w - 27. Let o(g) = -2*b(g) - 5*d(g). Determine o(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -205*f - 2. Let r(n) = -211*n - 3. Calculate -8*r(d) + 9*z(d).\nAnswer: -157*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882922*f - 21*f**2 + 882922*f.\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.9.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -16436*l**2. Let c(k) = -6*k. What is s(c(b))?\nAnswer: -591696*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.302823*-0.1.\nAnswer: 1.9302823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13bc0 - -6c?\nAnswer: -13b52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.9 + 2. Let o = 69.1 - c. Let g = -69.00062 + o. Round g to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*p**3 - 20 - 13*p**3 + p + 23*p**3)*(13*p - 7*p + 7*p)*(1 + 3 - 5) in the form g + o*p**4 + j*p + y*p**2 + i*p**3 and give o.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*k - 2. Suppose -k*y + 6 - 2 = 0. Solve -2*b = -0 - y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55286 - 1321*u - 55286)*(0 - 4 + 8)*(u + 0 + 0).\nAnswer: -5284*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 426\/69625?\nAnswer: 426\/69625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5982? (a) -0.3 (b) -2\/3 (c) 5 (d) -1.01 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.54794 and 1.6.\nAnswer: -48.876704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:20 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -49*d**3 + 16*d + 17. Determine o(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 344484272953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1445496738, 1445496737, 1445496736, 1445496735?\nAnswer: 1445496734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241532 (base 6) in base 5?\nAnswer: 1134102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-689112)\/(-2815))\/(2\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5410*s - 12592 + 25176 - 12584 as c + p*s and give p.\nAnswer: 5410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7*t**2. Let n(p) = 3275*p. Calculate n(l(h)).\nAnswer: -22925*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(1700\/(-75))*(-3)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7725.918 rounded to the nearest 10?\nAnswer: 7730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 18295 = 89*r + 145*r - 14699 for r.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 1401 = -452*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 26*y**2 + 6*y**2)*(-59*y**3 - 58*y**3 + 119*y**3).\nAnswer: -44*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -11 + 18 - (-4 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -3) + -7 + -1208. Which is greater: -1209 or m?\nAnswer: -1209","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14443 and 129\/349258.\nAnswer: 3841838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + y**2 + y**3 + 0.\nAnswer: y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + (1 - 2)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 177*o**2 + 527*o - 1766. What is y(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335959 is divided by 273?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x + 2208 = 27*x. Suppose 2*u - 54 = -2*t, 0 = 2*u + u - 12. Calculate the greatest common divisor of t and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1490819 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 + 18*h - 18*h + 2*h**3)*(5*h - 3*h + h + (0 - 1 - 1)*(-h - 6*h + 2*h)).\nAnswer: 26*h**4 + 65*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 7*t + 2304 = 0. Suppose 2*q = 4*c + t, -10*c + 6*c = 12. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*x + 167713 + 132291 = 0, 2*z + x - 600001 = 0. Round z to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000706 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -245?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 - 15*s + 0*s + 11)*(3*s**3 + 0*s**2 - 4*s**2 - 5*s**3) in the form l*s + o + q*s**4 + n*s**2 + p*s**3 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-36)*6\/(-12)*12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 898 and 1347.\nAnswer: 2694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/984 and 87\/410.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/79002 and -5\/21546.\nAnswer: 237006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -2005326401?\nAnswer: 2005326400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 divided by -955?\nAnswer: -914\/955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42191 and 0.4.\nAnswer: 42191.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*o - 13. Let n = o + -4. Suppose 0 = -5*i + k + 60, 3*i - i = -5*k + n. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*i + 131 = 0, 3*n - 107 - 97 = 3*i. Suppose 0 = 3*q - c - n, -3*q + 4*c + 18 + 49 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(8) + sqrt(156)*2 + sqrt(156))\/(sqrt(3) + sqrt(270)\/sqrt(10) - -1*sqrt(3)*-6))**2.\nAnswer: 2197\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 62*d. Let z be t(1). Suppose 4*w = 2*w - z. Let u = 92\/3 + w. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.17615736.\nAnswer: -0.35231472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d - 11*d = 14*d - 126. Solve -26*n + 29*n = -d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41081, -4, 1\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 1 + -2). Let b be 53 - (0 - -1 - c). What is the greatest common factor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -4, -2, 11, 2, -5.\nAnswer: -5, -4, -2, 2, 11, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*r = -5, 0 = 3*s - 5*r + r - 35. Let m(i) = -3*i - 3*i + 2*i - 1 - s*i. Is m(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 6*c - 3. Let l be o(5). Let b be ((-50)\/(-5) - 4)*-6. Let t = b + 56. Solve -l*f - t = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 8*r - 41*r - 105 = -9*r, 172*l - 168*l + 5*r + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 6\/7 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 557\/4 - 139. Let u(h) be the first derivative of -1 + 0*h - c*h**4 + 0*h**2 - 4\/3*h**3. Find the third derivative of u(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2075.\nAnswer: 1\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26076495?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -308, 13, 0, -17, -1\/6.\nAnswer: -308, -17, -1\/6, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j. Suppose j*q + 15 = -3*q. Suppose g = 5*g - 20. Put 3, g, q in increasing order.\nAnswer: q, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 11608450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91600*z - 46067*z + 5 + 129356*z - 5.\nAnswer: 174889*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b**2 + 2970*b - 107123. Determine v(49).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.64369747 rounded to 3 dps?\nAnswer: 66.644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 95*n**2 + 93 in the form x*n**2 + k + u*n and give x.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121348 = 4998396*w - 4999715*w for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**2. Let l(m) = -7*m. Let y(v) = -15*v. Suppose 3*x = 8*x - 20. Let d(o) = x*y(o) - 9*l(o). Give k(d(f)).\nAnswer: -72*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-7\/5)\/r))\/r*r**(2\/31))\/((r*r*r*r**(-9)*r)\/(r*r**(-27))))**(-1\/20) assuming r is positive.\nAnswer: r**(2873\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (0 - 4) + 3 + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Suppose 21 = 3*r - 3*o, z*r + 4*o - 7 = r. Suppose -1411079 - 30088921 = r*v. Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41270000 rounded to the nearest one hundred thousand?\nAnswer: -41300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16148\/27 - 598. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i**4 - 1 - 6 - 7*i**4 - 8*i**2 + i + 9*i**2 as q*i**2 + p*i**3 + t*i**4 + y*i + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2142 - 2141. What is the nearest to 0.2 in 0.4, z, -1\/4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*c*n**2 - c*n*q**2 - 2*n**2*q**2 - 16*n**2*q with respect to c.\nAnswer: 236*n**2 - n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 7*f**3 + 9\/2*f**6 - 117\/5*f**5 + 129\/4*f**4 - 22 - 12*f - 24*f**2. Let w(a) = 0. Calculate a.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(45)\/sqrt(5)))\/sqrt(2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**2 + 7*u - 8. Let q(n) = -n**2 - n + 1. Calculate m(h) + 6*q(h).\nAnswer: -h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1391*o + 357. Is y(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by 49512?\nAnswer: -37\/24756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4989461517 + 4989461506 - z + 6*z.\nAnswer: 5*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 - 3 = -c, -f = -2*c + 45. What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4355 is divided by 112?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -150 (c) -1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 950*k**2. Let r(q) = 48*q**2 - 21*q**2 - 10*q**2 - 16*q**2. Calculate i(r(z)).\nAnswer: 950*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 8 = -i, -2*r + r - 10 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - y - 2. Let o be ((-30)\/12)\/(2\/(-4)). Let i = o - 1. Let b = i - 4. Determine v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 39. Suppose 17*h = p*h + 270. Let z = -47 - h. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 4329*f + 79. Let b(l) = -5*l. Give n(b(q)).\nAnswer: -25*q**2 - 21645*q + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28008 - -a564?\nAnswer: 37571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2) + 56 - -2. Let r = p + 22. Are r and 77 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**4 + 4460*f**3 - 143765*f**2 - 646100*f = 0?\nAnswer: -923, -4, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 952349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 54, -14 in decreasing order.\nAnswer: 54, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -146. Let p be (0 - 5) + -1 + b. Does 1\/24 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2410536 (base 7) in base 5?\nAnswer: -34231244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/720*26 + (-9 - 48\/(-5)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155\/763 - -9\/109. Let q = 4.3 - -22.7. Let c = q - 22. Sort 0.4, p, c in decreasing order.\nAnswer: c, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 1, k: 1, d: 1, r: 1}. What is prob of sequence enkk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 121. What is the remainder when (k\/(-1) - -6) + 19 is divided by (16\/(-10))\/((-4)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5513 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 1. Let m(l) = 5*l**2 - 1. Give -4*g(y) - 3*m(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 - 9*u**3 + 0*u**2 + 17*u**3 - 4*u**3 to the form w*u**3 + x + q*u + g*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, s: 1, v: 6, k: 1, b: 1}. Give prob of sequence vv.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + -9 + 11 + -1 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 183719648.327.\nAnswer: 183719648.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 23213 = 4493. What is the greatest common factor of 48 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47763.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zazaz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i + 2*i**2 - i)*(-2 + 14 - 4) + (225*i**2 + 4477*i - 4477*i)*(-1 + 3 - 5) to r*i**2 + g*i + t and give r.\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339668 divided by 4.\nAnswer: -84917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1*4\/(-8)*-3)\/(66\/(-20))\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/6*116\/(-57304)*-152?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 208 - 328 = 0. Suppose 0*v - v + 6 = h, -3*h = -9. Suppose o + v*o - 3*c = 248, -i = -2*o + 4*c. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 0*q**2 + 1\/3*q**3 + q. Let f(h) = 4*h. Determine c(f(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 30*i**2 + 77*i + 135. What is p(27)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**(-50))**(-4\/37)\/(((o**(-1\/2)*o)\/o)**(2\/67)\/((o*o**5)\/(o\/o**1))) assuming o is positive.\nAnswer: o**(41711\/2479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1440)*-6)\/(sqrt(12)\/((sqrt(72)\/sqrt(6))\/sqrt(2))).\nAnswer: -72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + -0.06. Which is the smallest value? (a) o (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.016 in 5\/81, -15, -1?\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 585\/26*75*70\/1575\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1227 - -601.1227. Let x = -339 + h. Let c = 262.00000109 - x. Round c to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 11*k + 10. Let j be n(10). Suppose j = 2*r + 4*y + 2 - 0, 4*r + 4 = -4*y. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8007416.\nAnswer: 2, 839, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 140 and -0.09?\nAnswer: 140.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:44 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**5))\/(p\/p**(2\/7)))\/(p**(1\/2)\/p**5) assuming p is positive.\nAnswer: p**(123\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/((-44100)\/1380) + 28\/(-12)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 1963399112*q**2 - 1963399112*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 17*k**3 + 170*k**2 + 153*k - 22. Let n(h) = 9*h**3 + 84*h**2 + 75*h - 12. Let t(q) = -6*a(q) + 11*n(q). Factor t(r).\nAnswer: -3*r*(r + 1)*(r + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5290521 + 1.3.\nAnswer: 5290522.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1737470630 minus 0.032?\nAnswer: -1737470630.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 0.2834?\nAnswer: 0.2834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 5*g**3 + 3*g**3)*(0 + 3 - 2) - 8*g**3 - 6 - 3*g**3 + 8*g**3.\nAnswer: -4*g**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012331118 to 7 dps.\nAnswer: 0.0012331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, l: 7, r: 2, o: 2}. Give prob of sequence lrhl.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-13)\/(-7))\/((-10)\/840*40)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 8*t**2 - t - 1. Let q(m) = -16*m**3 + 48*m**2 - 6*m + 22. What is -6*h(k) + q(k)?\nAnswer: -10*k**3 + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169014, -338006, -506998, -675990, -844982?\nAnswer: -1013974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 29*p + 5. Let j be n(-17). Let x = -46819\/21 + j. Calculate the common denominator of 71\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -110*v. Let t(w) = 115*w. Let r(i) = 2*k(i) + 3*t(i). Let m(h) = -16*h**2. Calculate m(r(f)).\nAnswer: -250000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = k - 4*a - 67, -8*k + 3*a + 388 = 0. Solve 0 = -k*p + 31*p + 64 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + 1*sqrt(108)*-2)**2 - (2 + ((sqrt(108) + sqrt(108)*1)*-2 - (-4 + 0 + sqrt(108) - sqrt(108)))**2).\nAnswer: -1265 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 35. Let o be v(12). Which is the closest to -1? (a) o (b) -4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49\/2 - 25. Which is the second biggest value? (a) 0.3 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(35 - 65 - 25*j + 28).\nAnswer: 25*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 669077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54093 - -54094. Let r = -15\/4 + 21\/4. Is r < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:47 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -5*y, -145 = -4*y - 149 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138\/30*-5 - -27. Let y(a) be the second derivative of -1\/3*a**3 - 3\/5*a**2 - 26*a - 1\/30*a**m + 1\/50*a**5 + 0. Solve y(p) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 34 = 202 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006 is divided by 302?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3227 divided by -6.\nAnswer: -3227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 366?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77752\/7 - 11107. What is the fifth smallest value in 0.2, 3\/4, 2.2, x, 1\/4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, k: 5, z: 1, q: 4}. Give prob of sequence qqqz.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106546 - 106546 - 10*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 257, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 63\/180*36\/42*-1*2\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h - 559 + 494 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -531*i + 14. Let m(k) = -k**2. Calculate q(m(r)).\nAnswer: 531*r**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*r = -r - 18, 5*r + 20 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17923.\nAnswer: 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-9)\/2)*-6. Let w = v - 21. Solve w*t - t - 1 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14260729 is divided by 2422.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43971708 + -89971708. What is i rounded to the nearest one million?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 24*a + 67. Let x be (-5 - -2 - 2) + (-1625)\/(-65). Determine h(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 + (-88)\/(-4 + 12). Let g(c) = c**3 - 6*c**2 + 4*c - 5. Let x be g(5). Let q be (-5)\/(-2)*(-8)\/x. Solve -4*o + i*o - 4 = -4*k, q*o - 33 = -5*k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/4)\/6)\/((70\/7)\/120).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/463 + -912\/3241. What is the closest to -1\/2 in -2\/3, u, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (220\/(-8))\/(8\/16). Let p = -53 - s. Solve -4*r - 4 = -2*m, p*r + 5*m = 5*r + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 0*m**5 + 9*m**4 + 2*m**5)*(33 - 104 + 243).\nAnswer: 344*m**5 + 1892*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.78 less than 10\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2098 (base 12) to base 14\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 923 = -v - 2*m, 3*v - 569 = -5*m. Let p = v - 93. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18*q**2 - 3*q + 1. Let r be a(2). Let z = 94 - r. Let o be (-18)\/z - (-26)\/21. Sort 1, o, 0.1 in ascending order.\nAnswer: 0.1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2089 - -4?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9856)\/(-280) + (-4)\/(-5). Suppose -19*u = f + 59. Let z be ((-2 + 2)\/(-2))\/(-2). What is the closest to -2\/5 in u, 8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 13*q - 14. Let g be k(11). Let u be ((-6)\/4)\/(g\/48). What is the second smallest value in u, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 1\/3*k**4 - 11*k + 0 - 4\/5*k**3 - 1\/50*k**5 + 2*k**2. What is c in g(c) = 0?\nAnswer: 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.090856 and 42.47939983.\nAnswer: 42.38854383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/20 and -31\/42688?\nAnswer: 213440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -547697.663 to the nearest ten thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - b239?\nAnswer: -b238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -860, -1208, -1038, -350, 856, 2580?\n\"Answer: 259*k**2 - 1125*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/472*16\/(-42)*-2 and -28\/3.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -0.5 (b) -3 (c) 0.851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 29*q = 6097. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/6))**(-44\/3)\/(((f*f*f**10)\/f)\/(f*f*f*(f*f**(-2\/31))\/f)) assuming f is positive.\nAnswer: f**(-5660\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 642*x**2 + 16*x - 5*x**3 + 2223 + 636*x**2 - 2221 in the form z*x + u*x**3 + v + t*x**2 + g*x**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1370.348 to the nearest integer.\nAnswer: -1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(200\/(-16))\/5. Let r = 63 + -58. Solve 5*b - q*f = -20, -1 = 2*b + r*f - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1*(-5)\/(-20)*76. Find the common denominator of 36\/7 and (y\/39)\/(2*(-2)\/12).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4 - 3 + 5 + (0 + 2 - 3)*(0 - 2 + 0) + 4 - 3 - 4)*(-1 - 1 + 0) - 3 - 1 + 1)*(-5*i**2 + i**2 + 0*i**2) as u + z*i + n*i**2 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11*x**2 - 67*x + 2. Let n be v(-6). Suppose 0*d = -4*g + 4*d - 16, -2*g + 3*d - n = 0. Which is the closest to -0.1? (a) g (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 3*l - 13. Suppose 2*f - 5 - 7 = 0. Suppose -4*v + f = -14. What are the prime factors of x(v)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62882461 and 2248.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 8. Let b be n(-7). Suppose -t + b = q, 0*q - 3*t + 3 = -2*q. Let r = 0.078 + -3.078. What is the smallest value in r, q, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -2*t**3\/3 + 3*t**2\/2 - 44*t + 2. Let g(j) = -j**2. Give g(c(f)).\nAnswer: -16*f**2 + 24*f - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a milligram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3\/(-6) + (-15)\/54\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7907269 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 30. What is the third derivative of -p**g + 13*p**5 - 24*p**2 + 22*p**5 wrt p?\nAnswer: 2100*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 4*x**2 + 3*x + 6. Let p be v(-4). Let o = p + 6. Solve 3*y - 1 + 7 = o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -178*p - 507. What is the lowest common multiple of s(-3) and (1 + (1 - -1))*1?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 - -0.04. Let z = -5348\/69 + 188\/23. Let d = z - -70. Which is the closest to -0.2? (a) d (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 75*k**2 - 144*k + 810. Let m be z(-77). Calculate the greatest common divisor of m and 7240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/792 and -115\/984456.\nAnswer: 984456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7350.6 + 7350.600202574. What is j rounded to six dps?\nAnswer: 0.000203","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a factor of 1160737839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -48*u**2 + 1391840*u + 281162322 wrt u?\nAnswer: -96*u + 1391840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q**2 + 182*q - 86. What is f(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.027 + 0.373. Sort 5, 4\/7, 2, v in decreasing order.\nAnswer: 5, 2, 4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161.5 * -4.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 52 = m + 3*h, 0 = -m + 5*h + 52. Let a = 11 + m. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 16 + 2*i**2 + 5 + 11.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30663245 to the power of 1\/2, to the nearest integer?\nAnswer: 5537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 h when four letters picked without replacement from {k: 7, l: 5, h: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8360 - -8358. Let h(f) = -2*f**3 - 4*f - 1. Determine h(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**4 + 3*c**4 - c**4 + (-12*c**3 + 2*c**3 + c**3)*(-93 + 93 + 13*c).\nAnswer: -119*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558 + 2058 = 3*x - 2*c, -x = -5*c - 513. Is 498 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 4*u + 7. Suppose 7 = -5*x - 3. Let h(w) = 2*w**2 + 3*w. What is the remainder when h(x) is divided by f(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5421\/9010 - 3\/1802. Suppose -5*x + 12 = -2*z, 0*x + 9 = -3*z + 3*x. Let k be (3 + z)\/2*1. Which is the third smallest value? (a) -0.3 (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012*468.\nAnswer: 5.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(2*(sqrt(90) - sqrt(10) - sqrt(10)))*-1 + (2*sqrt(3000))\/(sqrt(150) + (1*sqrt(150) - sqrt(150))).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 15*x + 2. Give r(-3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 + 162*q + 2139 = 0. What is q?\nAnswer: -31, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 40*i**2 - 703*i + 742.\nAnswer: (i - 53)*(i - 1)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 + 0*q + 0*q**3 - 1\/160*q**6 + 1\/32*q**4 + 4*q**2 + 0*q**5. Factor c(a).\nAnswer: -3*a*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwki when four letters picked without replacement from iwiwimkwmi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1829999\/3 - (-2)\/12*2. Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -0.1, 6, 0.2 in increasing order.\nAnswer: -0.1, 0.2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 1647*w + 201 - 1531*w in the form l + j*w and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.7 - 7.6878. What is q rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -128, -389, -888, -1703, -2912, -4593?\nAnswer: -6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d - 4. Let t be (24\/14)\/(15\/140). Suppose 0 = -4*u + 3*p - 0*p - 20, 0 = -4*p + t. Let v(a) = -1. Give u*j(h) + 6*v(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 2*u + 12*u)*(10 - 5 + 4) - 8*u - u + 0*u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -338 (base 9) in base 4?\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 141 - (-6)\/(-2)*8\/12. Suppose -4*z + 2927 = p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*g + 2*q, 0*g + 3*q + 90 = 5*g. Suppose 0 = -s + 4*a + g + 21, 2*a + 147 = 3*s. Let h = s - 46. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2870, -5742, -8614, -11486?\n\"Answer: -2872*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7*v + 18*v - v**4 - 2*v as f*v + o*v**3 + z*v**4 + d*v**2 + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 - 351. Let u = v + 351. What is the greatest common factor of 54 and u?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/((-5)\/6) + 127 + -18. What is the nearest to -1 in 2\/9, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1191*m + 851*m - 1082*m + 5 as y*m + z and give y.\nAnswer: -1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t - 3. Let w be n(-3). Let v(c) = 6*c. Let f(z) = 4*z + 0*z - 3*z. Let g(d) = w*f(d) + 3*v(d). Let q(m) = 2*m**2. Calculate q(g(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:38 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:31 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*w = -2*w + 20, -w + 4 = m. Let o = -1 - -1.5. Which is the nearest to -1? (a) o (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/8 - -89\/8. Calculate the common denominator of a and -47\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 != -11\/2800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 498009.4 nanometers?\nAnswer: 0.0004980094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.3, -0.21, 1\/10, 0.5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1963\/11 - 7841\/44. Suppose -1 + 5\/4*x**2 - z*x**4 - 3\/4*x**3 + 3\/4*x = 0. What is x?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5843*f - 244106. Determine p(42).\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1705 = -5*i, 7*i = -2*m + 10*i + 686. Let v = -331 + m. Calculate the smallest common multiple of 23 and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17378, -28327, -39276?\nAnswer: -50225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64.29 and 0.5.\nAnswer: -32.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 16 + 4. Suppose s = -4*x + 41, x + k*x - 5*s = 45. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*f - 64*f = -172662. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1292923, 5171711, 11636363, 20686879, 32323259, 46545503?\nAnswer: 63353611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58704 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 2*j + 1. Let n be i(-1). Let h = n - -8. Let u be (-5 + h)*(1 - 2). Solve 2*w - 4 - 2 = u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(432)*2 + (-2*sqrt(432) + -3 - sqrt(432)))**2 - (sqrt(216)*2)\/(sqrt(96)\/(sqrt(12) + (sqrt(12) - sqrt(108)))))*3.\nAnswer: 234*sqrt(3) + 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 55635*f - 222620.\nAnswer: 5*(f - 4)*(f + 11131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -391 (base 14) to base 15.\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 9*v - 11. Let d be g(9). Let q = 25 + d. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 2*f - f - 46 = 0, -3*c + f = 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 25\/53?\nAnswer: 25\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -209 + 195 + (2 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 90. Let h(a) = -a**2 + 9. Give 30*h(r) + 3*v(r).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h - 30 = 0. Let q(i) = 4*i**3 + 23*i**2 - 7*i + 1. Let n be q(h). Which is bigger: 5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittttytmttyi. What is prob of sequence iy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -47193.742 * -4\nAnswer: 188774.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, a: 5}. Give prob of sequence aal.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6126, -5889, -5542, -5085, -4518, -3841?\n\"Answer: 55*u**2 + 72*u - 6253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -2747 in descending order.\nAnswer: 3, -1, -4, -2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -5\/8778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -194 and -193 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.22 + -1.153. Let j = t - 0.767. Which is the fourth smallest value? (a) j (b) 5 (c) 0.4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 708726, 708728, 708730, 708732, 708734?\n\"Answer: 2*r + 708724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 1158*w**2 + 49126*w - 47970.\nAnswer: 2*(w - 533)*(w - 45)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3.9, 424, -6, 58, -5.\nAnswer: -6, -5, 2, 3.9, 58, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443407, -1773198, -3989373, -7091932?\nAnswer: -11080875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371.23689013 - 1.08.\nAnswer: -372.31689013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a**(-6\/13)\/a)*a)))**(1\/9)*(a**36)**14 assuming a is positive.\nAnswer: a**(6557\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 413, 395, 377?\n\"Answer: -18*k + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.034546 and 3.2.\nAnswer: 0.1105472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1822.6 (c) -791.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/24 + (-255)\/(-18). Suppose 0 = 6*d - x + 2. Solve -2*u - d + 0 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -86*d**4 + 36*d**4 + 29*d**4 - d**4 + d**4 + 2*d**4 + (10 - 3*d**2 - 10)*(3 - d**2 - 1 + 2*d**2).\nAnswer: -22*d**4 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -143?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (14 - 47) + 20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.7. Let g = -0.5 - j. Sort -1\/7, 3, g in ascending order.\nAnswer: -1\/7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b - b + 6*b + (-b + b - 2*b)*(-2 + 5 - 1) + 0*b - b + 0*b + 1 - b - 1 + (3 - 1 - 3)*(3*b - 2*b + b) - 1 + 1 + b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 359041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and (65\/10)\/((-2)\/(-4)).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072245627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 213, 428, 643?\n\"Answer: 215*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39*i*t + 52514*i*w - 379*t*w - 2 wrt t.\nAnswer: -39*i - 379*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16925, -1\/4, 1\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x - 5. Let z be i(-2). What is the units digit of 3\/(-9) - (-570)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49112, 2, -0.5, 4, 0 in decreasing order.\nAnswer: 49112, 4, 2, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 234463803 to the power of 1\/2, to the nearest integer?\nAnswer: 15312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2167357*q - 2167362. Give d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -619284 (b) 3 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**6 + 3*y**4 - 2941*y**3 + 58216*y**2 + y wrt y.\nAnswer: 240*y**3 + 72*y - 17646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3 + 10747*o**2 + 5373*o = 0.\nAnswer: -5373, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15.21937 * 21\nAnswer: 319.60677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1683, 1.43, 0.19 in ascending order.\nAnswer: 0.19, 1.43, 1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.96 - 2005248.\nAnswer: -2005239.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((10 - 2) + -5 - (16 + 2)) + 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-1)\/z))\/(z**(-3)\/z))\/((z**5\/z)\/(z**(2\/7)\/z*z))*((z**(2\/5)*z)\/z**(-6))\/(((z\/z**7*z)\/z)\/z*z*z*z**(1\/3)*z*z) assuming z is positive.\nAnswer: z**(1402\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -0.3121588.\nAnswer: -7.80397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -21. Suppose -136 = -h + q, 251 = n*h + 5*q - 0*q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 46801044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 8. Let p be g(6). Let x be (p + -1)\/(-1 - -2). Suppose -u - 5*m = 21, -5*u + 0 = m - 15. Solve -x*s = -u - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 414775961980.\nAnswer: 414775961974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110698 is divided by 667?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * 407972.4.\nAnswer: 28558068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 11*l = -6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 3, m: 2, e: 2, v: 4, p: 3}. What is prob of sequence vmpm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 890 divide 4171430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 5*k**3 + 5*k**3)*(1 - 25*k + 11*k + 16*k).\nAnswer: 4*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -4, 48, -2, -5 in ascending order.\nAnswer: -7, -5, -4, -3, -2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 6 = -8*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224794992.\nAnswer: 2, 3, 4683229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691087.9 centuries to millennia.\nAnswer: 69108.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-125)\/7 - 876\/(-292). Which is the fourth smallest value? (a) 4 (b) s (c) -2 (d) -0.4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2956\/2429?\nAnswer: 2956\/2429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1329174625 to the nearest integer?\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8542115*c**3 - 133*c**2 + 28*c - 35.\nAnswer: 51252690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - 8060*w**2 - 4*w + 96 + 7916*w**2 - 106 to s*w + y + d*w**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 60009*5\nAnswer: 300045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1, 2, 2602395 in decreasing order.\nAnswer: 2602395, 16, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bannnaanaaa. Give prob of picking 1 b and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuu when four letters picked without replacement from uuuuuucuuuuuuuu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 581 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553 = -28*g + 861 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 10:54 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 765959567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -278*l**2 + 119241*l + 9009. Calculate t(429).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109e2 + -118?\nAnswer: -10b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2154 + 2156. Calculate the greatest common divisor of 353 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 21, -1.55, 71 in descending order.\nAnswer: 71, 21, -0.07, -1.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 726967224 to the power of 1\/3, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nznz when four letters picked without replacement from bnuznzozzz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + n + 2*n)*(n - 5*n + 2*n + (-2 - 2 + 2)*(0*n - n + 3*n) - 2*n - n - 2*n)*(-4*n + 0*n + 3*n).\nAnswer: -11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 16*d - 1 - 27*d - 24*d**4 + 26*d**4 as h*d**3 + f + t*d**4 + g*d + b*d**2 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16542282 and 0.3477.\nAnswer: -16542281.6523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 8*q + 8 + 4 - 7*q as o*q + h and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 624\/(-13)*(-1161)\/(-1548).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:59 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 + -12.71. Let i = -1450602 - -1450615.000016. Let z = i + w. What is z rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 - 0.6. Let j = -0.11 + -0.39. Let c = j - -0.5. What is the closest to c in 1, m, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 99 - 98. Is t*((-1)\/(-5) + (-90258)\/(-35)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*f = -928*f - 17019 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(340) + (sqrt(340)*5 - sqrt(340)))\/sqrt(10))\/((sqrt(18)*-5)\/sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -5, -1, -16, -3 in decreasing order.\nAnswer: -1, -3, -5, -16, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104889464.4 rounded to the nearest 100000?\nAnswer: 104900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p. Let q(s) be the second derivative of -23*s**4\/4 - 5*s - 1. Give w(q(f)).\nAnswer: 414*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 586.607*-239\nAnswer: -140199.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from yrrqyqyyhq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -0.4 (b) -6 (c) -2065 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-17.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-160)\/56 + -1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24355 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16794*l**4 + 16930*l**4 + 345*l**2 - 123*l**2 wrt l?\nAnswer: 3264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 500891 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2841047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194797.\nAnswer: 131, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81066 = 28*y - 148506. Suppose 21*f = 432 + y. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 5*c**2 - 3 - 4*c**2 - 2*c**4 - 22*c + 3 in the form j*c**4 + z*c**2 + m*c**3 + v + o*c and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52546914 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5144 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 4, 0.4, 0.1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182485 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:56 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (113 + -103 - (0 + 1)) + -51?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 1. Let f(j) = 19*j**2 - 5*j + 11. Let z(u) = 6*u**2 - u + 4. Let x(y) = -2*f(y) + 7*z(y). What is -6*n(v) + x(v)?\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5510)\/15)\/(2\/(-3)). Suppose 0 = -2*d + a + 1031. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 2)*(-13*b**3 + 2*b**3 + 5*b**3).\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 261560 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -9 - (-2 + (3 - -3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8853, -8860, -8867?\n\"Answer: -7*m - 8846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 4, 18, 48, 100?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 20*g - 36. Let t be 3\/(-4) - 57\/4. Let o be x(t). What is the smallest common multiple of o\/(-70) + 8\/(-10) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 3*w**4\/4 + 4*w + 66. Let b(p) = p**2. Determine i(b(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.055, 3, -4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 296 + 29*l + 2*l**3 - 293 + 9*l**4 - 27*l as j + a*l**3 + g*l**4 + c*l**2 + y*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j = -4*t, j - 2*t = -3. Let q = 13\/12 + -4\/3. What is the closest to 0 in j, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(6405\/9)\/(-5). Let r = y + 738. What are the prime factors of r?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -22*u - 8. Give c(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + sqrt(931) + (sqrt(931) - (-3 + sqrt(931))*-1))**2.\nAnswer: -168*sqrt(19) + 8395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23155282 and 1130.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12666\/342 - 37)*5\/(15\/18).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**3 + 11733500*l**2 + 4*l - 11733500 = 0?\nAnswer: -1, 1, 2933375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 1803854.\nAnswer: 1803853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**5 - w**4 + 7*w**3 - 3. Let y(p) be the second derivative of p**7\/21 - p**6\/15 + p**5 - 4*p**2 + 19*p. Let o(a) = -8*b(a) + 3*y(a). Factor o(c).\nAnswer: -2*c**3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2586145 and -0.1?\nAnswer: 258614.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - x + 1 = 8, o + 5*x - 7 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g + 2*q = -198, 3*g - 5*q - 115 = 0. Suppose 0*c - 48 = -4*v + 4*c, -5*v + c = -g. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.92 + 0.08. Let x = -9.965 + b. What is x rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -343*d + 19*w - 16*w - 3779, 4*w - 52 = 4*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94? (a) -1\/3 (b) 4 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6602665 (base 7) to base 10.\nAnswer: 807763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 6:20 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1708, 3388, 5066, 6742, 8416, 10088?\nAnswer: 11758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285408?\nAnswer: 2, 71419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 894 - 477. Let i = -414 + x. Which is the second biggest value? (a) -36 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 44 = -4*i, 3*i + 2*i = -z + 2. Let n be (-10)\/(-4) - 6\/z. Let f(u) = 4*u + n*u - 5*u. Let g(k) = 2*k**2. What is f(g(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 26 + 7634*h + 1177*h - 1492*h + 3100*h.\nAnswer: 10419*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -10*m + 14*m. What is the tens digit of 6\/(260\/(-136) + m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - (-4 - ((17 - (3 + 32)) + 15)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410117 is divided by 102520?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1100?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or -16820923?\nAnswer: -16820923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.81, -0.053, -2, -5, -4?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3 + 2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 231993 or -0.073?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2583*q + 1 + 650*q - 3 + 2.\nAnswer: -1933*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:43 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 1. Let j(y) = -10*y**2 + 11. Let q = 43 + -41. Let i(w) = q*j(w) + 22*k(w). Let b(h) = -12*h**2. Calculate i(b(p)).\nAnswer: 288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24837\/(-26298)*6\/(-68).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 3. Let h(n) = 3*n - 38. Let c be h(14). Let r(k) = 5*k - 18. Let q be r(c). What is the greatest common factor of q and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4802\/20 + (-7)\/70 and 9?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6)*13\/2. Let d = -25 + m. What is the closest to d in 1, -0.4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-656*v + 2*v**2 - 60758 - v**2 + 60757)*(0*v + 3*v - v) to the form b*v**3 + t*v**2 + x + a*v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 134.09. Let l = -0.09 - n. Which is bigger: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 4 - 4)*(-7 + 2 + 4)*(-5 + 1 + 3)*(94 - 94 + 34*z) to h*z**2 + i + q*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -805.2 + 36.2. Let g = -775 - m. Which is the nearest to 1? (a) 3 (b) -3 (c) g (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*u + 4*z - 58 = -273*u, 5*z = -u + 34 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = -2*b, 2*k - 4*b - 8 = -2*k. Let v(q) = -q**3 + 3*q**2 - 3*q + 4. Give v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 9265*n**3 - 36743*n**3 - 3.\nAnswer: -27478*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19053 + -11918. What are the prime factors of m?\nAnswer: 5, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) + sqrt(450)*-2)\/(sqrt(45)\/(sqrt(27)\/sqrt(3) + sqrt(9))))\/(2*-3*-4*sqrt(10)\/sqrt(2)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7180609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2527*y - 2534*y + 12624*y - 2 - 2526*y - 2517*y - 2529*y.\nAnswer: -9*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7eb + 2?\nAnswer: 7ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12307 divided by -2?\nAnswer: -12307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2136 and 32818572.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 867 is divided by 47.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*k + 3*k. Let u = 208605 - 208602. Which is the nearest to k? (a) u (b) -0.3 (c) -1\/8 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 4583 = 718. List the prime factors of n.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z**3 - 13*z**2 + 9*z - 13. Let r(y) = 5*y**3 + 6*y**2 - 4*y + 6. What is -6*m(u) - 13*r(u)?\nAnswer: -5*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/33? (a) -0.3 (b) -3 (c) 1\/4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a century in years?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -5 (c) 7 (d) -257\/56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 - 341652*p - 683298.\nAnswer: -3*(p + 2)*(p + 227766)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 + 5*r + 3. Let h be (-62)\/(-5) + 6\/(-15). Suppose 2*w + w = h. Give c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -4010. Is b\/18 - 14\/(-63) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-90))\/(-1*15\/50)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 340\/24*(2\/9 - 3854\/7380)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 25*t**2 + t**3 - 135*t - 74*t + 147*t.\nAnswer: -t**3 + 25*t**2 - 62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/6)\/(2\/9). Let l be (0 + 1)*13 - (-4495)\/(-310). What is the third smallest value in x, l, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*n + 152, -4*l - n + 318 = -0*n. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-25)\/2)\/((-8)\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/5, 0.3, -2560\/197, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/63*((-77)\/14 - -4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*b + 151*b = -7936. Let j = b - -662. What are the prime factors of j?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-28) - 1)*((-21)\/(-35) + -1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3)*(-1541)\/402?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.83968 + -11.83. Round b to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 - 9 = 21*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 220613 + -2?\nAnswer: 220611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -291246 and -291248 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -76827.56 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -10*x + 49. Solve 4*u = -12, -3*u = -z + x - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = w + 525, -3*r - 3*w + 210 = -5*r. Let i be (-108)\/r*(-336)\/72. Which is bigger: i or -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -3)\/(1\/(-15)). Suppose b = -2*b + j. Let l = -28 - -30. Solve v - 5 - 10 = -b*k, -3*k - 4 = -l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 324 = 12*s. What is the greatest common divisor of s and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4*x + 3*x)*(10 - 5 + 4)*(x**2 + 3*x**2 - 2*x**2).\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 36*d**2 + 3*d + 3. Let g(x) = 5*x**3 + 71*x**2 - 7*x - 7. Calculate -3*g(m) - 7*z(m).\nAnswer: -m**3 + 39*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 0*j**4 - 154*j**2 + 5 + 143*j**2 + (0*j**4 - j**4 - j**4)*(3 + 2 - 3) as i*j + x + v*j**3 + y*j**4 + q*j**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 14 (c) 32.5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**3 + 18810*z**2 - 23587740*z + 9859675320 = 0.\nAnswer: 1254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (8\/6 - 4). Let u = -0.163 - -3.023. Let n = 0.14 + u. What is the nearest to n in b, -2, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**5\/20 - 2*l**2 - 70*l. Let c(a) = -a**2. What is 2*c(p) - q(p)?\nAnswer: -p**3 - 2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1035 - -1034. Let s = 0.5 + -8.5. Which is the closest to 0? (a) s (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t. Let x(y) = 6298643*y. Give x(f(u)).\nAnswer: -6298643*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 3*s - s**2 + 4*s. Suppose 3*k - 9 = x, 4*k - 24 - 4 = -4*x. Let c be (-4)\/(1 + x\/(-2)). Let f(d) = -10*d**2 - 8*d + 2. What is c*g(m) - f(m)?\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 6*h + 4. Let t be q(4). Let r = 3 + t. Let f be r*(2 + (-1 - 6)). Solve -f*x = -2*x + 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560819613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34*c**2 + 720*c - 720*c)*(4*c + c - 4*c - 2*c + 3*c - 3*c + (-2 - 2 + 2)*(1 - 1 + 2*c)) to the form i*c**2 + f*c**3 + a + y*c and give f.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*c + 6 = 0. Let k(i) = i**2 - 2 + i**3 - 2*i - 1 + 4 - 2. Calculate the remainder when 13 is divided by k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let g be s\/(-3)*15\/10. Let h = g + -2. Is h less than -2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140368 and 2108.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 4*c**2 - 5*c**2 + 2*c**2 - 5. Calculate the remainder when t(-7) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/2*(-1 - -2). Let u = -2 - h. What are the prime factors of 11 + (2 - (u - -4))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**3 + l + 0 + 1\/6*l**4 + 0*l**2. Let v(g) = -2*g**2. Give v(r(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81807403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -130, -179, -260, -379, -542, -755, -1024?\nAnswer: -1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, r: 1, f: 4}. What is prob of sequence fc?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*u**3 - 1744*u**2 - 12*u - 919461 wrt u?\nAnswer: -18*u**2 - 3488*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 16 - 142 = -5*h, 3*h = -25*i + 100 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -987 divided by -329?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52, -149, -314, -553, -872?\n\"Answer: -o**3 - 28*o**2 - 6*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-298)\/2235*(0 + 1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27610114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmmmgmmmmggg. Give prob of sequence gm.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -112*v**4 + 11*v**2 + 227*v. Let n(d) = -56*d**4 + 5*d**2 + 114*d. Let s(h) = 7*n(h) - 3*w(h). Find the third derivative of s(o) wrt o.\nAnswer: -1344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-102)\/136)\/((-29)\/(-62)) and 278\/(-36)*(-6)\/4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-10)*15*7\/42.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h - 3. Let y(b) = 36*b + 10*b + 10 - 48*b + 34*b + 0*b. Give 16*m(o) + 5*y(o).\nAnswer: -16*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284786 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -155077*o + 2481275. Give y(16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -797.057 * 0.45.\nAnswer: -358.67565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1408 = -1372. What is the greatest common divisor of 153 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m. Let h(n) = n**3 + 5*n**2 - n - 2. Let f(l) = -h(l) - 3*t(l). Suppose 118*z = 17*z - 404. Determine f(z).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 120, 13, -4 in decreasing order.\nAnswer: 120, 13, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 357 - 71. What are the prime factors of s?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 5*k - 5*p + 4, -2*p = -k - 12 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.4 (c) -131\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 7*v - 5. Let n be o(-7). Let i be 15534\/(-112) + n\/20. Let x = -1012\/7 - i. Find the common denominator of x and -33\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**3\/3 + 3*x. Let f(h) be the third derivative of 0*h**3 + 0*h**4 + 0 + 2*h**2 + 1\/60*h**5 + 0*h. Give f(p(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m - 10*m - 5 - 8*m - 6 + 26*m. What is i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000120 - 1?\nAnswer: -1000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 796*j - 4067. Calculate l(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433 - -132?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - -4)\/(3\/2). Let b = -38 + 44. Factor y + 0 - b + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 74*p + 116. Let b be i(-74). Calculate the highest common factor of 986 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -3*v + 2*t + 70, -4*t - 158 = -3*v. Is 50 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 - 1394*c**3 - 679770*c**2 - 96645150*c = 0. Calculate c.\nAnswer: -1461, -315, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 34122575\nAnswer: 11\/34122575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-6) - -3)*0. Suppose s = 2*r - 2*t - 22, t = 4*r + 3*t - 50. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 541712.1.\nAnswer: -38461559.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*y = 45*y + 773820. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500)*2)\/sqrt(10))\/(sqrt(70)\/sqrt(28) + sqrt(10)) + 3.\nAnswer: 4*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*m - 12 - 2 = 0, 2*m + 2 = -l. Let w(i) = i**3 + 12*i**2 - i - 13. Let c be w(-12). Let p be 4\/(3\/(-4 - c)). Are p and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 2. Let u be i(4). What is the tens digit of (u + 3)\/((-1)\/(-19))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180) + -2)**2 + 2 + (5*(0 + sqrt(180)) - (sqrt(180)*-1 + -1)**2).\nAnswer: 10 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = 5*g - 1515, -2*g + 3*w = -623. Is g a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -0.2. Let z be (-216)\/396 + 58\/66. What is the biggest value in z, 0.3, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 13) in base 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 8:05 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 589 and 340597.\nAnswer: 6471343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -94132479?\nAnswer: 94132474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 688143490?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 6*v**2 + v + 20. Give n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 125133 (base 8) to base 13\nAnswer: 16b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 4\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - ((-639)\/63 - (-7)\/49). Suppose -5*w - 2*q + 11 = 3, 0 = -w - 2*q + 8. Solve x*g - 4 + 2 = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 5*k - 10. Let g be o(9). Let d = g + -2. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -7, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 - (5 + -7 + -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let n(j) = -1. Let f(k) be the first derivative of -39*k**2\/2 - 39*k - 50. Let s(x) = f(x) - 39*n(x). Determine s(v(o)).\nAnswer: 78*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*z + 2*z. What is the tens digit of (-274)\/(-10) - (-4)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90319, -90263, -90207, -90151, -90095?\nAnswer: -90039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 28*t**2 + 231*t - 218. Determine q(-34).\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33\/7*f**3 - 3\/7*f**5 + 0 - 3\/7*f**4 - 54\/7*f + 27\/7*f**2 = 0. Calculate f.\nAnswer: -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6369 and 596949?\nAnswer: 6566439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11.03820874 + 1074\nAnswer: 1085.03820874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -13.02062.\nAnswer: 0.3906186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 6\/47, -1.3, -1\/3.\nAnswer: -7\/5, -1.3, -1\/3, 6\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwqweeeewwv. What is prob of sequence ee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 - (1 - (7 + (0 - 28))))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -13 + 0 + 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(36) + -2 - (sqrt(5) + sqrt(200)\/sqrt(10) - (sqrt(5) - sqrt(20)*-4)))**2 + (-6*-4*4*sqrt(405))**2.\nAnswer: -76*sqrt(5)\/3 + 33594161\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75325, -75327, -75331, -75337, -75345, -75355?\nAnswer: -75367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*1*(-15)\/(-60)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let p(x) = -11*x**3 + x**2. Let f be p(-1). What are the prime factors of (a\/(-2))\/((-9)\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -0.5 (c) 1\/495 (d) -136 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 17*k - 4. Let x be c(-16). Let w = x + 42. Let i(p) = 22 + w - p - 51. Determine i(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176232408 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**15*r*r**3)**(-19))**(-2\/51))**(5\/14) assuming r is positive.\nAnswer: r**(1805\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.1. Let h = 60564 - 60558. What is the smallest value in -9\/2, j, h?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294 and 4434206.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h - 3*s - 216 = 0, s = 2*h + 5230 - 5254 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -35. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:20 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edje when four letters picked without replacement from {d: 2, e: 4, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*o = -4*q + 52, 3*o = -4*q + 68. Solve -5*b + 3*t = -10*b + 22, 2*b = 5*t - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n - 16*n - 19*n**2 - 8*n**2 + 20*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -223421 (base 6) to base 7\nAnswer: -106150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l**2 + 3*l)*(4*l**2 - 5*l**2 - l**2) - 18*l**4 + 1 - 3 + 23*l**4.\nAnswer: l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66 - 66. Which is the nearest to m? (a) 5 (b) 2 (c) -14\/5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10713 - -835607\/78. Find the common denominator of t and 55\/5031.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 2985949?\nAnswer: -2985939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 1. Suppose f + 3*f = g. Suppose -n = 3*c - 3, 2*n - 6 = 5*c - 0*c. Solve f*r + 13 = -3*m - 12, c = 3*r + 3*m + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 7. Let w be y(-15). Calculate the greatest common divisor of w and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 + 5*v + 1. Let c(u) = 428*u**2 + 20*u + 8. Let l(d) = c(d) - 4*z(d). Let t(r) = -2*r. Give t(l(n)).\nAnswer: -880*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 2 + 2 - 7*f + 5*f - 4*f + (23 - 2*f - 23)*(-2 + 1 + 0) to r + u*f and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3823282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (532\/(-35))\/19*(-2)\/(-2)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1800010\/(-45) - (-4)\/18. What is u rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*u + 4*u. Let g(h) be the first derivative of -2\/3*h**u + 6*h**4 + 0*h**2 + 64\/3*h**6 - 2 - 96\/5*h**5 + 0*h. Find a such that g(a) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*b - 1 + 2)*(98*b - 13*b + 30*b).\nAnswer: 230*b**2 + 345*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - d + 6)*(20*d**2 - 49*d**2 + 70*d**2)*(-28 + 52 + 22) as c*d + j*d**3 + a*d**2 + g and give j.\nAnswer: -1886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19256, -20803, -22350, -23897, -25444?\n\"Answer: -1547*n - 17709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 743034\/89?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1116.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffjmfjfj. What is prob of sequence fjmf?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-116)\/(-16) - 9\/(-12). Let y = 20 - t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 - 6 = 0. Is (-15)\/(-2) + (-2)\/b + 2 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2396 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 500610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 677309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3875.161 millilitres?\nAnswer: 3.875161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 97 in 4, 12, 4\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 5, d: 2}. What is prob of picking 1 d and 3 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243533 greater than or equal to 3243425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-4))\/(1692\/2130). Let t = y + 15\/376. What is the common denominator of t and 62\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w - 18 = -19*w. Solve -w + 1 = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 7*k + 5. Let f be 20\/35 + (-192)\/(-7). Suppose 5*n - f = 17. Let v be 28\/126 - (-34)\/n. Give c(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.061 + -75.939. Let g = j + 71. What is the nearest to -0.3 in 2\/7, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8232 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/(a**0\/a))\/(a*a**(-1))**(19\/5)*(((a*a**(1\/3))\/a)\/(a*a**2))**42 assuming a is positive.\nAnswer: a**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 13*j**6\/120 + j**5\/60 + 13*j**2. Find the third derivative of s(w) wrt w.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 3. Let b(t) = 6*t**3 - 5*t**2 + t. Let i(w) = 4*w**3 - 4*w**2 + w. Let a(c) = 5*b(c) - 6*i(c). Calculate a(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 1. Let w(d) = 2*d - 2. Suppose h + 1 = 0, 2*b + 3*h + 0 + 1 = 0. Determine b*w(t) + 4*r(t).\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/(c\/c**22))*c)\/c**(1\/41))**(-24\/13))**(-4\/35) assuming c is positive.\nAnswer: c**(-82752\/18655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3873 + -3876. Which is the nearest to 0.5? (a) -3\/5 (b) -14 (c) 3\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4749 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n*n*n**(-6)*n*n))\/((n\/n**(-3\/10))\/((n\/(n\/(n\/((n*n**(1\/4)*n)\/n))))\/n*n))*n**(2\/9)\/(n*n*n*((n**5*n*n)\/n)\/n)*n**0*n**(-1\/4) assuming n is positive.\nAnswer: n**(-251\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 3*t**3 - 8*t**3)*(-1 - t + 1)*(0*t - t + 4*t).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 38. Let l(p) be the third derivative of 1\/120*p**4 + 1\/15*p**3 + 0*p + o - 2*p**2 - 1\/300*p**5. Determine b so that l(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 665*n + 8. Let v(i) = -1980*i - 20. Give -8*u(a) - 3*v(a).\nAnswer: 620*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 + 1 + 7*g**3 - 2013*g + 21*g**3 + 1004*g + g**2 - 4*g**4 + 1012*g to the form f + c*g**4 + w*g**3 + o*g**2 + k*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -8*m + 233. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrx when three letters picked without replacement from rhhbrrxhxddhhhhrhhh?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (420\/70 + -16)\/((-10)\/28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 13*l**2 - 5*l. Let x(q) = -2*q. Determine h(y) + 5*x(y).\nAnswer: 13*y**2 - 15*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*g - 122 - 575, -703 = -5*s + 3*g. Solve -s*n - 4 = -139*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 35.2. Let c = 8 + d. What is the nearest to 0 in 4, c, 5\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 3834.\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -11. Let n be -12 + (-96)\/(-8) + 2 + 0. What is the nearest to n in -5, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**5 + 2*m**4 - 5*m**2 - 2. Let i(z) = -z**5 - z**4 + 1. Let y(v) = -2*i(v) - r(v). What is the third derivative of y(j) wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 + 7*a + 1. Let d be k(7). Let z(c) = 78*c - 1. Let y be z(d). Suppose y = 2*h - h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t**2 + 5*t - 13. Let m be u(3). Let f be (-10)\/(-2) + 0\/(-2). Suppose 3*s - m = -5*v, 0 = f*s + 3*v - 391 + 46. Is 24 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 796*q**5*v**2 + 2*q**4*v**2 - 525*q**2*v - 2*q*v + v**2 wrt q.\nAnswer: 47760*q**2*v**2 + 48*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 8, 4*s - 7*z - 65 - 54 = -115 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -168*m**2 + 10*m + 2. Let p be s(-7). What is p rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-5\/8)*j*j*j*j*j**(-6\/17)*j*j)\/(j*j\/(j*j**(-3\/8)*j)*j*j*j**(-6)\/j))**(-23) assuming j is positive.\nAnswer: j**(-18607\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13563 greater than or equal to 3\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -25.1. Let n = 1.2 - m. Which is smaller: 4\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:24 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267885883 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (2*sqrt(80) + -3 + sqrt(80))*4.\nAnswer: -16 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 7. Let o be d(-2). Solve -4*b - 19 = -3*f + o, -3*b = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498929*r**4 - 926444*r**2?\nAnswer: -11974296*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 12*s - 5*y = 0, -54*y = 4*s - 51*y + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -503, -1013, -1521, -2027, -2531, -3033, -3533?\nAnswer: -4031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 16 = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4.858?\nAnswer: -8.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 1:14 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)*q*q**(-6))\/(q**(-20)\/((q*q**(3\/2))\/q)))**(-25\/2) assuming q is positive.\nAnswer: q**(-1675\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13105 (b) 2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 17*a**5\/15 - 591*a**2. Let v(j) = 7*j. What is d(v(l))?\nAnswer: 3332*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyhhhbhyhbh. Give prob of sequence ybb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43\/(-129)*(0 - -12). Which is the nearest to 3? (a) 7.7 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8975 - -0.1025. Put 0.5, t, -15 in increasing order.\nAnswer: -15, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/35)\/(-2*1\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 3*s - 7*s + 2*s + 255 = 2*s - 0*s, 0 = -s for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -461*q**3 - 194*q + 2 wrt q?\nAnswer: -2766*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from eccswem.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -156, -41, 238, 753, 1576, 2779, 4434, 6613?\n\"Answer: 12*p**3 + 10*p**2 + p - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-5 + 8 + -4 + 0). Suppose 0 = 12*x - n*x - 63000. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 17\/12*q**4 - 16*q + 0*q**3 - 13\/2*q**2 + 0. What is the first derivative of a(r) wrt r?\nAnswer: 34*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - ((sqrt(76) - -1*sqrt(76)) + -1 - sqrt(76)) - sqrt(76))**2 + 4*(1 + sqrt(304)).\nAnswer: 12*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2 + 2 + 0*t**3 + t**3 + 0 + 2 + 4*t. Calculate the remainder when b(5) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1392 and 7406136.\nAnswer: 14812272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 7)*(2 - 3*v + 9*v - v).\nAnswer: 60*v + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 7\/4 + 6*g**2 - 5\/2*g**3 - 11\/2*g + 1\/4*g**4 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 7, v: 5}. Give prob of picking 2 i and 1 g.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 5. Let g(a) = 4*a + 9. Let q(h) = 3*h + 8. Let o(b) = -4*g(b) + 5*q(b). Let j be -3*(-25)\/30*2. What is j*o(m) - 4*k(m)?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from {a: 4, p: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/189 and 131\/5130.\nAnswer: 35910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2)\/((-11)\/(-16)). Let w = u - -50\/99. Which is the smallest value? (a) 1 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 5, 0.05, -2\/19, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -125*x**3 - 1023668010*x**2 - 2095792430341440*x - 167663387875840 = 0.\nAnswer: -4094672, -2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-21))\/(40\/(-3080)*-209)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x**3 + 8*x**2 - 5*x - 9. Let q(t) = 6*t**3 - 9*t**2 + 5*t + 10. Let y(u) = 7*i(u) + 6*q(u). Let s be y(-3). Is -1 + 55 + s + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 38*w**2 - 37*w + 2. Let d = -193 + 230. Let z be k(d). What is the second biggest value in -3\/8, z, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.5457 to one dp.\nAnswer: 86.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -8.7 (b) -1\/4 (c) 2\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13077 + (10\/25)\/((-2)\/(-20)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j. Suppose 2*c = 4*v + 4, 10*c = 9*c + 5*v + 5. Let d(b) be the first derivative of -13 + 1\/3*b**3 + c*b + 0*b**2. Give d(r(p)).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -751*q - 31. Let r(h) = -h**2 + 2. Let y be r(2). List the prime factors of f(y).\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640.334 != -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -318 - -318. Suppose -13*o + 19*o + 230040 = w. Round o to the nearest 1000.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003290065817 to 7 dps.\nAnswer: 0.0000329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4403 - 5?\nAnswer: -4408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 n, and 1 g when four letters picked without replacement from rbpnpbnrnggbn?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -27.378\nAnswer: 15.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1\/5, 5159943 in descending order.\nAnswer: 5159943, 2\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 3476278376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3897, 7698, 11495, 15288?\nAnswer: 19077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12796, -14395, -15994, -17593?\nAnswer: -19192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -t + 4*t - 615, -3*d = -3*t + 618. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = -5*a. Let j(g) = 3 - g**a - 4*g + 4*g. Let d(b) = -4*b**2 + 13. Let n(f) = 6*d(f) - 26*j(f). Let o(q) = 2*q. Calculate n(o(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5770385*d**2*i - 1423*d + 2*i - 379 wrt d?\nAnswer: -11540770*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5233997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201000 - 12?\nAnswer: -201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456 (base 12) in base 10?\nAnswer: -2370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 6*o**2 + 11*o**2 - o. Let f(i) = 519*i - 6. Let t(x) = 599*x - 7. Let w(c) = 7*f(c) - 6*t(c). What is k(w(b))?\nAnswer: 7605*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*a - 77*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**3 - v**3 + (-1 - 3 + 6)*(2*v - 2*v + 4*v**3))*(v - 3*v - v).\nAnswer: -27*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 77 * 0.73\nAnswer: 56.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {g: 11, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*o - 243, 10*u - 14*u = o + 165. Sort 1, -5, u, 2, -9 in ascending order.\nAnswer: u, -9, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7610523 years?\nAnswer: 0.07610523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2 + 37. Let a be (-7)\/49 + (-83)\/b. What is the tens digit of 6*9*(154\/a)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 12\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -48*l - 38. Let i be g(5). Let y = i - -286. Calculate the highest common divisor of 104 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1.3 (c) -4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(13 - ((-168)\/49 - 3\/(-7))).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 5. Is -590*n*(-1)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjyz when four letters picked without replacement from {c: 1, j: 5, y: 2, d: 6, f: 3, z: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4276 is divided by 122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.23 + 2.54. Let j = -0.69 - h. What is the nearest to -0.4 in j, 3\/5, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265270.\nAnswer: 2, 5, 41, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/2)\/(1\/(-4)). Suppose 2*r = 5*n - 8, -r = -2*r + 4*n - w. Which is the closest to 1\/5? (a) r (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 2, s: 3, n: 2, e: 1, y: 3}. What is prob of sequence vvs?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwj when three letters picked without replacement from {w: 2, p: 3, j: 4, f: 6, l: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 divided by -38619?\nAnswer: -346\/38619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*3*2*sqrt(308))\/(2*-1*(sqrt(539)*1 + sqrt(539))).\nAnswer: -60*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4266*s = 4256*s - 80 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 + -122. Suppose -2*q + 5*q - 5335 = -4*w, 7116 = 4*q + u*w. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)**(1\/7)*z**4*z**(-1\/5)*z)**(-36) assuming z is positive.\nAnswer: z**(-864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - -10. Let i = y - 60.9. Round i to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from kyydyyyyyygy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4794062 is divided by 36?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/558210 and -17\/31096.\nAnswer: 377349960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -13. Let k be (4\/54)\/(1\/(-6)). Let m be (-75)\/(-24) + -1 - (-1)\/(-8). Which is the smallest value? (a) k (b) -2 (c) m (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-6 + (sqrt(2178) + 1 - sqrt(2178)))**2.\nAnswer: -144*sqrt(2) + 10369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16772\/3 - -5612. What is the common denominator of x and 1\/1634?\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2. Suppose l - 15 = -4*u, -1 = -u - 2*l + 1. Let t(w) = 14*w**2 - u*w**2 + 4*w**2. Give a(t(h)).\nAnswer: -588*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p = -4*d + 18, -2*d = 5*p + 6. Let n be (3 - (1 - -24))*d\/(-4). Find the first derivative of 17 + 4*o**2 + n*o**2 + 9*o**2 - 10*o**2 wrt o.\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/19 - 8875732*r\/19 + 934288 = 0. What is r?\nAnswer: -4437868, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -2*n + 350. Suppose -3*m - 27 + n = 0. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -185 + 187. Differentiate 15*y + 588*y**d - 587*y**2 + 24*y - 80 wrt y.\nAnswer: 2*y + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2384404.39 + 9\nAnswer: -2384395.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 20*u**2 + 4*u**2 - 2*u - 3 + 18*u. Let d be h(15). Find the first derivative of d*o**4 - 19 - 12*o**2 + 12*o**2 wrt o.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205719 + 25*v - 13*v - 68573 - 68573 - 10*v - 68573.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45612544 and 9.\nAnswer: 410512896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b104 + 8?\nAnswer: -b0da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-63)\/(-20)) + -2. Let o = 59 + -34. Let k = -20 + o. What is the closest to 0 in k, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83 + 7*g**2 - 5*g**2 - 99*g**4 + g**2 - 4*g**2 wrt g.\nAnswer: -2376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 106\/(-371)*(-14)\/4. Let q be ((-5 + t)\/8)\/(51\/(-34)). Factor 1\/3*s**2 + 0*s + 0 - 1\/9*s**3 - q*s**4 + 1\/9*s**5.\nAnswer: s**2*(s - 3)*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -5*v + k + 265, 17 = -v + 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2*p - 13. Let x be g(-4). Let q = x + -6. Solve -2*u - 4*b + 3 = 23, -5*u - q*b = 35 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 15*d - 25. Let o be f(-12). Suppose 0 = -0*s - s + 79. Suppose -6*z + o + s = 0. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d4 (base 14) to base 7\nAnswer: -1054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 33. Let v = 4 + n. Let d(j) = j - 1. Give d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*p - 136*p = 4. Suppose -4*n - 12 = -p*r, 0 = -0*r + r + n. Solve -8*c = -3*c + 2*x, -r*x = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 + -183. Suppose -3*v + 6*v = -u, -5*v = 2*w - 847. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9617, -8177, -5743, -2309, 2131, 7583, 14053?\nAnswer: 21547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 169538985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9542)\/(-468) + -20)*((-374)\/63 - -6).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 - m**3 - 5*m - 1 + m**2 - 2 - 3*m**2. Let b be d(-4). Let x(q) = -q + 1. Determine x(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-147 + 13)\/((-2)\/5). Let x(b) = -177*b**3 - 2*b + 1. Let i be x(1). Let t = i + a. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8126739.00049 - 8126861. Let w = 73 + 49. Let k = n + w. Round k to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -73*a - 4. Let k(c) = -18*c - 1. Calculate -9*k(b) + 2*l(b).\nAnswer: 16*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z - 27*z + 286569 = 0. List the prime factors of z.\nAnswer: 3, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 571512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-6))\/((-2)\/9). Solve -6*r = -r - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*m**2*u**3 - 3*m**2*u + 9634*m**2 - 28358623*m*u**3 - 203*u**2 - u wrt u.\nAnswer: 18*m**2 - 170151738*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1122 or 376?\nAnswer: 1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 4*b**5\/5 + 6*b - 5. Find the first derivative of r(n) wrt n.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 308 (b) 0.22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*h**5 - 6*h**4 - 225*h**2.\nAnswer: -240*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 + -90. Suppose -19*i = -d*i - 1605. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17630, 16283, 14936?\nAnswer: 13589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(32\/7)*i*i**42*i assuming i is positive.\nAnswer: i**(340\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 55*l**3 + 43*l**2 - 60*l + 17. Determine q(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -121 + 121. Let r(q) be the first derivative of 0*q**4 - 10 - 34\/5*q**5 + 5*q**2 + k*q**3 + 0*q. Find the second derivative of r(f) wrt f.\nAnswer: -408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 14*a**2 - 10*a + 29. Determine u(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.4. Let p = s + 5. Which is the closest to 0? (a) p (b) -2\/19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.5 to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/450)\/((-8)\/6).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*r + 251 = 158*r - 383. Solve -4*d = -k - 21 + 17, r*d = -k - 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 186. Let g be t\/2 + (21 - 22). Factor 0*s + 3\/2*s**4 + 0*s**2 - g*s**5 + 3*s**3 + 0.\nAnswer: -3*s**3*(s - 2)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 5*i + 13, 4*w + 2 = 4*i - 6*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, 0.5, -4, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114807 by 3.\nAnswer: 38269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**5 + 6*f**5 + 6*f**5 + (0*f - f + 2*f)*(-2 + 2 + f)*(46 + 10 + f**3 - 55 + 6*f).\nAnswer: 3*f**5 + 6*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-99505)\/32389 + 3)*-4. Let i = t - 2\/661. Factor 8\/7*v + i*v**2 - 10\/7.\nAnswer: 2*(v - 1)*(v + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1997.02558 to the nearest 10.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*f**3 - 1499957 + 1498935 + 62*f**3 + 2*f wrt f.\nAnswer: 222*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 2*k**2 + 16*k**3 + k + 22*k**3. Let o be c(1). Find the first derivative of -o*l - 6*l**4 + 39*l - 3 wrt l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(2\/388). Suppose q = 5*g + 27. Calculate the remainder when 68 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 45*t - 191. Let w be k(4). Let r(j) = -j**3 + 4*j**2 + 4*j + 7. Give r(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 92\/315 and -40\/33?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 42590*d**2 + 65427885*d.\nAnswer: 5*d*(d + 2011)*(d + 6507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -23743699.2 to the nearest ten thousand.\nAnswer: -23740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1714 and 6.\nAnswer: 5142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrzjgngjrgbb. What is prob of sequence nr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x**2 + 5*x + 2. Let h be t(6). Let o = -341.4 - -341. What is the third biggest value in 0, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Let h = 441 + -438. Suppose h*w = -5*y + 12694475 + 2805519, 6200008 = 2*y - i*w. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 2, o: 2, h: 1, i: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 3, d: 2, p: 5, y: 5}. What is prob of sequence ypp?\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, d: 5, b: 4, j: 7, u: 1, i: 1}. What is prob of sequence ub?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -1278*n**3 - 3*n**2 - 2*n. Let w(u) = 7*u + 6. Let v be w(4). Let i = v - 35. Is k(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:28 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 times -1594?\nAnswer: 382560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - b - 151, -5*k + 2*k + 227 = -b. Let s = k + -76. Let v(y) = y**3 + 6*y**2 + 2. Let m be v(-6). Solve -h - m*h + 3 = s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + c - 8, 26 = -2*c + 38 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77114*n**2 - 2732*n wrt n.\nAnswer: -154228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4955216 divided by 6?\nAnswer: -2477608\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85083 is divided by 203?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.983 - -3. Let a = -3.017 + p. What is the closest to 16 in a, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, 0.5, -15\/2, -11\/61?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 14, -216, -105.\nAnswer: -216, -105, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3534, 7067, 10600?\n\"Answer: 3533*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqeqqeeqqq. Give prob of sequence qe.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1213027052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let p(d) be the second derivative of 3*d**3 + 2*d - 41*d**2 + 41*d**2 - 10*d. Give n(p(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*c - 40, -35 = -4*m + m - 4*c. Solve 15 = m*b - 0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-3))\/(5*9*(-2)\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 7:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -210, -204, -196, -186?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 728653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-20)*25 - (5 + (2 - 1)). Let f(w) = -7*w + 6. Let l(p) = 3*p - 3. Calculate g*f(v) + 9*l(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i - 1. Let k be r(-1). Let u = k + 9. Solve u*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((-60)\/1200).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m**2 - m - 4. Let c be f(3). Let q be 0 + -29 + (2 - 3). Let g = q - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 36754984?\nAnswer: -36754983.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 56?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t. Let h(x) = 12*x + 2. Let g(k) = -2*k - 1. Let n(z) = -3*g(z) - h(z). Calculate n(w(m)).\nAnswer: -12*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16797)\/(-748) + -17 - 5. Is 0 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/(-2)*(-88 - 8246\/(-93))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/278 or 15.1?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(((28\/44)\/(-7))\/(-1)). What is w rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 90, 185, 280, 375, 470, 565?\n\"Answer: 95*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (0 + 1 - 0). Suppose -2*g = 4*k - 536, 3*g - 8*k + 3*k = 815. Suppose -p*a = a - g. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m**5 - 419106*m**4 - 139693*m**3 + 372540*m**2 + 186268*m = 0 for m.\nAnswer: -46567, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -20. What is the tens digit of (570\/45)\/(k\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 158 - 68. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 5*u**2 + 6*u - 2. Let p(q) = -2*q**3 + 3*q**2 + 5*q - 1. Let a(h) = -3*i(h) + 2*p(h). Determine a(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1321 - 2463 = -i, 4*i + 5*h - 15169 = 0. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -133a9c - -2?\nAnswer: -133a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10802514 to the nearest integer?\nAnswer: 3287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -17.25. Let f = 2.2 + s. Which is the second biggest value? (a) -1\/3 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose q + q = -y. Let z be 0 - ((-112)\/(-52) + q). Are z and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 250001*h**3 - h**2 - 4. Let w be n(2). Round w to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 106*l - 705. What is the units digit of q(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16)\/(-1))\/4 - 407*-1?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10.3 - 9.4. Suppose 0 = -4*c + c - 2*l + 3, -2*l = -4*c + 4. Let g be c\/((-14)\/(-4))*-1. What is the second biggest value in a, g, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 55\/60 + 2 + (-64)\/24. Which is the nearest to 4? (a) 5 (b) -3 (c) -0.4 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -30.1?\nAnswer: -30.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 76*m**2. Let q(k) = 8*k**2 + 12*k + 2. Let p(b) = -7*b**2 - 18*b - 3. Let c(d) = -4*p(d) - 6*q(d). Calculate c(v(u)).\nAnswer: -115520*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 58768 + -34422. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 - (-43 - (36 - 71) - -32)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 355, 618, 797, 892, 903, 830, 673?\n\"Answer: -42*v**2 + 389*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 21*v**2 + 42*v - 24.\nAnswer: 3*(v - 4)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/4*(-4)\/(-5). Let z(k) = 3*k - 1 - 5*k**v + k**3 + k**2 - 2. Is z(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + h**2 + 1. Let r(n) = -4*n**2. Suppose 0 = 26726*y - 26707*y + 19. What is y*r(t) + x(t)?\nAnswer: -t**3 + 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*p - 6 = 5*d, 2*p = -5*d - 12. Let f(h) = -h**3 + h**2 + 2*h - 1. Let k be f(d). Let b = k - 5. Calculate the least common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 15*u**2 + 15*u + 8. List the prime factors of n(-5).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 22 = -24. Solve 15 = -4*b - m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -30*f. Let a(q) = 2733*q. Give n(a(h)).\nAnswer: -81990*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -2. Let o be (-1662)\/9 - i\/(-9). What is o rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 take away -79?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 309*d**2 + 4*d + 5. Suppose 38*m - 34*m - 3*u + 7 = 0, m = u - 2. What is the hundreds digit of v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-6\/7)\/(p*p**(-15\/8)))\/(p**(1\/6)\/p**(1\/32)))**(3\/7) assuming p is positive.\nAnswer: p**(-79\/1568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5925863.4 to the nearest 10000.\nAnswer: 5930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:34 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -213*f**5\/5 + 5*f**3\/6 + 29*f**2\/2 - 833*f. Find the second derivative of b(y) wrt y.\nAnswer: -5112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -547421024*p**4 - 885792536 wrt p?\nAnswer: -2189684096*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61820 is divided by 15446.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868685 is divided by 15508?\nAnswer: 15213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Suppose -v*r = r. Solve r = -2*q - 4, -6*q + q - 22 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4958 rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5\/4*x**4 + 5*x**3 - 5*x**2 - 57 + 5\/6*x**6 - 3*x**5 + 0*x. Solve b(d) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -456958 * 3.\nAnswer: -1370874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/(-21))\/((-2)\/(-258)).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3329751735 to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 39. What is the smallest value in -1\/2, 4, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (26 - 10 - 11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/27002565 and 143\/56005320?\nAnswer: 1512143640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzbt when four letters picked without replacement from {z: 2, b: 2, t: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11210004 - 402?\nAnswer: -11210411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 43 = 5*t - 14, -5*t - 5 = 0. Let k(a) = 11*a**3 - 14 - 18*a - u*a**3 + 6*a - 10*a**2. List the prime factors of k(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, g: 1}. Give prob of sequence gm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -19*x**3 - 2*x**2 - 2*x - 1. Let p be d(-1). Suppose -4*q - p = -5*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (6 - 10)) + (71 - (29 + -19)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37157960 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5099 - -4835)*(-1)\/(-3)\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077396.\nAnswer: 2, 3, 89783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.87 - 12. Let p = w + 0.08. Let t be (((-72)\/30)\/(-6))\/(77\/55). Is p >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2331 - 1041. What is n rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569605019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 19*h - 7*h - 3*h. Let b(z) = -5*z**2. What is c(b(m))?\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + o - 14 - 2, 3*o - 625 = -7*g - 665 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -11*v + 71. What is the second derivative of 5*g**2 + 10*g**2 - 2 - v*g**4 - 15*g**2 - 171*g - 22*g**3 + 4*g**4 wrt g?\nAnswer: -60*g**2 - 132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 + 150*k - 825 = 0. Calculate k.\nAnswer: -55, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(((-6)\/4)\/(-1)). Suppose 174 = 3*l - y*l. Find the common denominator of 56\/3 and l\/10*(-10)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v = 592. Suppose v = 3*i - 5*c, 0 = -5*c + 3*c + 8. What is the remainder when i is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1377 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + g**2 - 2*g + 1. Let t(j) = -353*j**3 - 5*j**2 + 87*j - 7. Let z(w) = 5*k(w) + t(w). What is the second derivative of z(m) wrt m?\nAnswer: -2178*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509.2939 days to microseconds.\nAnswer: 44002992960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - g**2 + 0*g**2)*(16009 - 52696 - 10909 - 12588 - 41165).\nAnswer: -202698*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(8\/(-10) - (-5)\/(-25)). Suppose y*c - 3*c + 95 = 5*k, -3*k + 33 = c. What is c rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/43 and -22\/91.\nAnswer: 3913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 855212 or 855213?\nAnswer: 855212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 24 = -11*u. Calculate the smallest common multiple of 10 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5656*k + 9. Let b be j(-1). Let h = b + 4752. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -1312?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5594 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggmnnngmn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261363, 261372, 261409, 261486, 261615?\nAnswer: 261808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1067 - -1068. Solve -2*i = -s + 14 - j, 11 = -s - 4*i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -4*(sqrt(99) + (sqrt(99)*1 - sqrt(99))) + sqrt(99))*4)\/((-1*(sqrt(180)\/sqrt(5) + sqrt(36)) + sqrt(36))\/sqrt(4)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/2)\/(16\/((-6160)\/(-33))). What is the greatest common divisor of m and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*i*o*z - 13993*i*z**3 + 5*i - 6*o*z**3 - o*z + 19*o wrt z.\nAnswer: -83958*i*z - 36*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(2) + -1 - sqrt(2))*-1 - (sqrt(2) - (sqrt(2) + sqrt(50)*2))).\nAnswer: 4 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 0 (c) 147 (d) -62 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1860773, 3721463, 5582153, 7442843?\n\"Answer: 1860690*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.7, 133 in decreasing order.\nAnswer: 133, -0.5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1518.9998101 + -1519. What is l rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*v - 4. Let g(p) = 0 - 5*p + 2 + p**v + 2. Let h be g(3). Sort h, 5, -4 in ascending order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 1070 = -5*p + 1022, 5*p - 2*q + 43 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/11 - 1788*w\/11 - 5382\/11 = 0.\nAnswer: -3, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1413918643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14 = v, -3*v + 14 = 4*l - 13. Which is the smallest value? (a) l (b) 0.9 (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 11) to base 10.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (80\/(-30))\/((-2)\/(-108)). Let s = m + 136. Let o = -4 - s. Solve 19 = o*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4343 - 2723. Let s be (3\/(-88))\/(w\/(-6416)). Let p = -1\/594 + s. Is 0.01 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**3 - 1. Suppose 0 = -0*p - 2*p, -3 = -3*l - p. Let j be w(l). Is 3 a factor of j\/9*-2*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1976, -11196, -26562, -48074?\n\"Answer: -3073*l**2 - l + 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21003, 41983, 62957, 83925, 104887?\nAnswer: 125843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/(93\/24759018) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177*a**2 + 348*a - 12.\nAnswer: 3*(a + 2)*(59*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*b = -58*b + 24. Let v = 212 - b. Calculate the greatest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146245*n**3 - 1432*n + 522092404 wrt n?\nAnswer: 438735*n**2 - 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 - 60.01. Let i = 59 + l. What is the second smallest value in i, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-18))\/(8 + -4). What is the nearest to m in 3, 563, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u. Let m(t) = 4*t + 30. Let g be m(-7). Let f(n) be the first derivative of 21 - n**g + n**2 - n**2. Determine f(l(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v + 7. Let k(p) = -p. Let i(b) = 3*k(b) + u(b). Let l(g) = -5*g + 3. Calculate 3*i(s) - 7*l(s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.60999 to one decimal place.\nAnswer: -36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -27, 15, 95, 225, 417, 683, 1035?\n\"Answer: 2*g**3 + g**2 - g - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*r + 25 - 3, -3*r - 2 = 5*m. Suppose r*u + 3*u - 351 = 0. Calculate the highest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*q = -29*q - 185. Let s = 2 + 10. Suppose -5*y = -q + s. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.8 - 2.7974. Let d = q + -118.3026. Round d to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -357 (b) 2\/5 (c) -1.212\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/20 and -16\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 195948*v - 116. Let q be a(17). What is q rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12874094 + -5.\nAnswer: 12874089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*v + 64409*n**3 + n**2*v - 20*n*v - 8*n - 2820*v - 3 wrt v?\nAnswer: -n**3 + n**2 - 20*n - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**19\/o)\/(o**(12\/13)*o)*(o*o**(-2)*o*o)\/(o\/o**(-7)*o) assuming o is positive.\nAnswer: o**(105\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32361 (base 7) to base 8\nAnswer: -17617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 16.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let p(g) = 19*g + 218. Let x be p(-12). Let h be (5\/x)\/((-3)\/48). Determine r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 + 0.6. Let v = x - -1.5. Suppose 0 = -3*i + 4*i + 3. What is the smallest value in v, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -22*f - 12. Let q(b) = -20*b - 13. Give -3*i(r) + 2*q(r).\nAnswer: 26*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9217 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 + 16 = 4*o. Suppose -30 = -b - o. Suppose u + b = 21. Solve z - n - 2 = -u, 2 = 2*z + 4*n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 16*p = 44. Does 5 divide p + 1048\/32*4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 12*t**2 + 3*t + 2. Let i be g(3). Let j be (1 - -16) + 0\/(-2). What is the greatest common factor of j and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + 220 + -150 + (1 - 13)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 145 - 139. What is the derivative of -3*g**2 + 7*g**2 - 7*g**4 + 8*g**4 - 94 - a*g**4 wrt g?\nAnswer: -20*g**3 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7394.09l?\nAnswer: 7394090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.18993 hours to microseconds.\nAnswer: 162683748000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*g**2 - 206\/9*g.\nAnswer: -2*g*(g + 103)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 - 0.2.\nAnswer: -178.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mttmtmtttmt. What is prob of sequence tm?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (55 + -38 - 76).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3 = -3*d. Let k = -0.49 - -0.09. Which is the nearest to d? (a) 2 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -149, -197, -439, -983, -1937?\nAnswer: -3409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four fifteenths of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k**2 - k + 15. Suppose -3*w + 4*w - 4 = 0. Let z = w - 4. What is the remainder when 29 is divided by c(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1*57) + -2. Let d be ((-4)\/6)\/(2\/(-123)). Suppose 0 = 4*u - d - 3. Calculate the greatest common factor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + i. Let l be g(-1). Suppose 2*f + l = 9. Solve f*n = 8*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 704 = -8*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -96\/156457 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 3:20 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 8201 + 47173 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -38.9. What is the nearest to o in -4, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 7:54 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2241131?\nAnswer: 859, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -65*w + 1691. Let d be v(26). What is the nearest to -0.1 in 1\/4, 396, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29941 + 29940. What is the nearest to 4 in k, -2\/3, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + a + 15 + 24, -4*u + 57 = 5*a. Suppose u*c = 1470 + 1158. Solve 0 = -k - c + 142 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(1539) + 1 + sqrt(1539) + 3 + (sqrt(1539) - (-3 + 1 + sqrt(1539))))*5*-5)**2.\nAnswer: 135900*sqrt(19) + 3870301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94683.57 kilograms in tonnes?\nAnswer: 94.68357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471937?\nAnswer: 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*j - 10699 + 3351 = 0 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:33 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 12*v. Let w(t) = 16*t - 6. Let h(u) = 42*u - 21. Let b(q) = -4*h(q) + 14*w(q). Determine b(m(p)).\nAnswer: 672*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871351?\nAnswer: 13, 97, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*s = -611*s - 144142 - 32507 for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2161, 3852, 5077, 5836, 6129, 5956, 5317?\nAnswer: 4212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, 1 y, and 1 w when four letters picked without replacement from kyjyywq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((-2)\/21*2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 16 - 14)*(-47 - 3*j + 27 + 22).\nAnswer: -81*j + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -12, 9, -2\/3, 1.3, 0.34?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkdvvlvvwvlwvkvdv. What is prob of picking 2 k, 1 d, and 1 w?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 31, 55, 79, 97, 103, 91, 55?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22674 divided by -6\nAnswer: -3779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -15*h + 3. Suppose 9 = 6*w - 27. Let p(q) = 30*q - 7. Let l(s) = w*p(s) + 13*b(s). Let n be l(-1). Solve 4 + n = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 701 times 259\nAnswer: 181559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 + 0*s**4 + s**5 + (-2*s + 4*s - s)*(0*s**2 + 0*s**2 + s**4) + 2*s**5 - 1 + 1 + (4*s + 3*s - 3*s)*(-8*s**4 + 15*s**4 + 8*s**4).\nAnswer: 64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 7. Suppose x*m + 22 = 58. Calculate the lowest common multiple of 4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -11*z**8\/28 + z**4\/4 - 2*z + 19. Let s(f) be the first derivative of q(f). Find the third derivative of s(b) wrt b.\nAnswer: -2640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {b: 2, f: 3, v: 1, h: 7, y: 1, u: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*r + 145513, 4*a = 335*r - 331*r + 116412. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**4 - k**4 - 4*k**4 - 7 + 7 - 6*k**4 + (-2*k + 2*k - k)*(-3*k**3 + 4*k**3 + k**3) as u*k + c*k**3 + h + m*k**4 + q*k**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let f(u) = -u**3 - 7*u**2 + 8*u + 4. Let q be f(-8). Let s(h) = -h + 3*h - q*h. Calculate s(p(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 55156761.\nAnswer: 661881132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let s(c) be the third derivative of -13*c**7\/5040 + c**5\/5 - 9*c**2. Let w(x) be the third derivative of s(x). Give w(y(o)).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -34124, 7, 51, 4 in descending order.\nAnswer: 51, 7, 4, -34124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -192 + 217. Suppose -q*o - 763 = -32*o. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2838)\/990 - (2\/(-2) + -4 + 2). What is the nearest to -1 in m, 0.8, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + 6601\/28 + -3. What is the units digit of h\/1 + -5 - (1 + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52245505 and 85.\nAnswer: 52245505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -103*k**2*x**3 - 15*k**2 + 204*k*x**5 - 2217*x wrt x?\nAnswer: -618*k**2*x + 4080*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/24)\/(-9)*(-8)\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u**(-3\/2)*u)\/u))\/u*u*u**1)\/(u**(-1\/4)\/u)**(13\/7) assuming u is positive.\nAnswer: u**(163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -5*k - c + 2*c, -k - 11 = -4*c. Let p be ((-1)\/(-5) + -1)*k. Solve 0 = 3*o + p - 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 6933*o**3 + 34611*o**2 - 48435*o + 20754 = 0 for o.\nAnswer: 1, 3, 2306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 245 - -302a?\nAnswer: 3274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1092090?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n - 2*n. Is -2\/3 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162 - 1\/2*p**2 - 18*p.\nAnswer: -(p + 18)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -64893 and 24857.\nAnswer: -40036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/13464 and -19\/126.\nAnswer: 94248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 197*g - 195*g + 8614, -2*m + 8600 = 5*g. What is the highest common factor of m and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215 = 367*n - 502*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.56 + 1.85. What is the third smallest value in -0.2, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 74, 169, 302, 473?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) + ((sqrt(70)*-2 - sqrt(70)) + sqrt(70))\/sqrt(10)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21418?\nAnswer: 2, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 14) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/8, -2.52, -7408\/9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 3*w, -3*w - 26 = -2*w + 5*m. Let p = w + 3\/2. Let o = -9 - -7. Which is the smallest value? (a) o (b) 2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34624 is divided by 17157.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560020633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1409.644 - 1410. What is a rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 441.17888 + -441. Let q = -0.18 + y. Round q to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 8:04 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61138, 61184, 61230, 61276, 61322, 61368?\nAnswer: 61414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-5 - (-6 - -3)). Suppose 3*j + 6 = -g. Let y(k) = -8*k**2 - 8*k - 13. Let x(a) = -2*a**2 - 2*a - 3. Let d be (9\/2)\/(24\/48). Give d*x(u) + j*y(u).\nAnswer: -2*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 9:51 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014502 rounded to seven decimal places?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and 3.4.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 8*d**4\/3 + d**3\/3 + 67*d**2\/2 - 104*d + 1. Differentiate w(a) with respect to a.\nAnswer: 64*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74c + -85?\nAnswer: -7d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -73, -90, -107, -124?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 45 = -5*z, -2*q + z = 3*q + 63. Suppose 4*c + 25 + 150 = -3*x, 2 = -2*x. Let b = q - c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20395999.\nAnswer: 13, 1568923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113786 = 24405*k + 332747 + 341025 + 172164 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**2 - 138*f + 227. Let v be l(-14). Suppose -6\/11*p**2 - 2\/11*p**v + 8\/11 + 0*p = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 115, 155, 205, 271, 359, 475, 625?\n\"Answer: g**3 - g**2 + 36*g + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**3 + 5*l. Let j(p) = 16*p**3 - 6*p + 2*p + 9*p. Let k(i) = -4*j(i) + 3*m(i). What is the second derivative of k(d) wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**3 - 8*s**2 + 6*s - 6. Let b = -1093 + 1771. Let f = 667 - b. Let v(l) = -12*l**3 + 15*l**2 - 11*l + 11. Give f*t(z) - 6*v(z).\nAnswer: 6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.5938849 rounded to zero dps?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 30*f - 754 = 0. Is 28 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 142, 540, 1602, 3658, 7038, 12072?\n\"Answer: 55*j**3 + 2*j**2 + 7*j + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let h = 7073 - 42433\/6. What is the closest to 0 in 1\/3, k, h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11971*j**2 - j - 3198*j**2 + 2 + 13417*j**2 - 4691*j**2. Let d be z(-2). What is d rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a + 1 - a**2 - a + 0*a. Let v(b) = 7*b - 33. Let i be v(4). Determine p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t - 6. Let v(o) = -o**3 - o**2 - 2*o - 4. Let f be v(-3). Suppose -3*w - w = -f. Put t, -2, w in descending order.\nAnswer: w, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 34*w + 5 = 29*w, -15 = -3*a - 4*w. Let k(j) = -4*j - 4 + 2*j**2 - 6*j + 9. Calculate the lowest common multiple of 11 and k(a).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 150385, 300764, 451145, 601528, 751913, 902300, 1052689?\n\"Answer: q**2 + 150376*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*m - 258 = 0, 4*s = -0*s - 4*m + 372. Suppose 6*t + 3*g = 11*t - 279, -4*t - 56*g + 632 = 0. Calculate the greatest common factor of s and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 11 - 60 + (-12 + 16 + 16)*(-3 + 5 - 3))*(-z**3 - 3*z**3 + 3*z**3)*(2*z + z - z).\nAnswer: 148*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 + -20.87. Let g = 17.3 + m. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19455 and 2430?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6063000 rounded to the nearest one hundred thousand?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 - 7*k - 2. Let f be y(-9). Let s = f + 1463\/8. Calculate the common denominator of s and -55\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200) + 1*sqrt(3200) + sqrt(3200) + sqrt(3200))*1 + sqrt(3200))\/(-1*-2*sqrt(10)*5).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 215975082 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 33. Give g(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65235912 - 2?\nAnswer: -65235914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.487689m to micrometers.\nAnswer: 5487689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*(-2 + 1 - 3)*(-3864 + 3864 - 116*b**4) + (-b**3 + b**2 - b**2)*(4*b - 2*b - b) - 4*b**4 + 3*b**4 - b**4.\nAnswer: -1859*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32163266?\nAnswer: 2, 16081633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098.092 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 15\/8 (b) 15 (c) -0.4 (d) 4 (e) 80\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2210\/273*-3)\/(-8*35\/(-784))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -3113, 5, -1, 1 in descending order.\nAnswer: 5, 1, -1, -2, -3, -3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 7. Let z be o\/(-6) + (-2)\/(-6). Let 0*i + 14\/3*i**5 + 5\/2*i**3 - 6*i**4 + 0 - 1\/3*i**z = 0. Calculate i.\nAnswer: 0, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-9 + 2 - (226 - 326)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 17. Let r be c(-5). Let f be 2 - 2 - (-24 + r). What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*a - 2 = -8, 0 = -5*x + 3*a + 6. Suppose -x*i + 4*i - 2 = 0. Is 1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48bc7 (base 13) to base 10.\nAnswer: -133842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 divided by 1.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10573 - -20191. Let k = q + -430925\/14. Let l = 1609\/56 + k. What is the common denominator of -49\/12 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135.819 hours to minutes.\nAnswer: 68149.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 9294*l**3 - 14*l**2 - 11*l - 4. Let p be h(-4). What is p rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080961351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-27))\/(14\/(-6)). Which is the smallest value? (a) -5 (b) h (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6654.\nAnswer: 2, 3, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 19*w + 2. Let r be v(4). Let u = r - 33. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + -9. Let c = -16 - s. Is (-2 - -3) + 33\/c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 14*z**2 - 19*z - 14. Give u(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/21 + (-83)\/(-21) - 3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -813 (base 13) in base 8?\nAnswer: -2530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 11. Let l(g) = -80*g + 122. Calculate l(p) - 14*m(p).\nAnswer: -94*p - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 3*s**2 + 14*s + 2 + 4 + 4 - 15*s to the form c*s + j + m*s**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + 17*j + 20 = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -3 + ((-37)\/3 - 96\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:27 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 58.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**8\/1176 - 116*h**7\/735 - 47*h**6\/84 - 59*h**5\/105 + h**2 - 128. Factor k(a).\nAnswer: 2*a**2*(a - 118)*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*i + 450 = 106*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 - -49. Which is smaller: c or -31?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -5*x. Let m be 1\/((-3)\/(-12) + 0). Put x, 5, m in increasing order.\nAnswer: x, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -828*g + 804*g + 1329, -16*t + 17*t + 53 = g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/260*(1260\/112)\/(3\/10).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose 0 = -3*k - 5*m - 133, 3*m = -k + l*k + 21. Let x be (24\/k)\/((-4)\/18). Solve x = h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -110751 in 0.2, 4, 2\/129, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -382.8091382 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4315 - -4499. Calculate the remainder when v is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n - 1. Let x = -1 - -1. Suppose 5*v - 1 + 6 = x. Let w = v - -4. Give b(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 17 = -6*p. Suppose -a = 5*z - 4212, -p*a - z = -2*a - 8442. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06874201 and 0.2701?\nAnswer: 0.33884201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57671*a + 29625*a + 29410*a to the form p*a + g and give p.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 995, 1985, 2975, 3965, 4955?\n\"Answer: 990*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48541 + 406.6215237.\nAnswer: -48134.3784763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - -4) + 13 - 1*4. Suppose 0 = 4*t - a*t - 3*g - 84, -52 = -3*t + 5*g. Solve -3*y - j - 4*j - 8 = 0, -5*j = -y + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4042 - -3100322?\nAnswer: 3041230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9510 - 1810 = 25*h. Does 126 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 104*c - 513. Give d(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2782*b - 2787*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/8))\/q**(-1))\/((q*q\/q**(-1))\/(q\/(q**(-5)\/q))) assuming q is positive.\nAnswer: q**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-2 - (-1 + 1)). Suppose f*w = -8, 3*w - 6 = -3*d + 9. Let q = 17 - d. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 3*x + 2. Let z be n(2). Suppose -f + 0*f = 3*a - 42, 5*a = -f + 70. Let t(v) = v**2 - 13*v + 6. Let y be t(a). Solve z*o + 0*o = -y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257 divided by 1109?\nAnswer: 257\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2983716089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 10, -16, -60, -122, -202, -300?\n\"Answer: -9*p**2 + 19*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 10:34 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (20 - (36 - -19))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -723 - -1?\nAnswer: -722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 270*c**2 - 210*c - 60. Let y(g) = -45*g**2 + 35*g + 10. Let p(x) = 4*l(x) + 25*y(x). Let p(f) = 0. Calculate f.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10851437 = -14311*f + 14268*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 53 - 37 - 342*x - 264*x.\nAnswer: -606*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/28*5\/(-15).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-4)*m)\/m)**(-37)*m**2\/m**5 assuming m is positive.\nAnswer: m**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12598843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 12*a - 11 = 9*a, 2*w - 6 = 2*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:50 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-66)\/(-55)*15\/(-12)*-2. Solve -b = 2*w - 5*c, -c - 8 = -2*w - 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*v + 30 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:06 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k - 27. Let b be l(-18). Calculate the greatest common factor of b and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20815639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v + 161. Let l(p) = 35*p - 481. Give 6*l(b) + 17*t(b).\nAnswer: 23*b - 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 162. Let i be ((2 - 3)*97)\/1. Let w = i - c. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of ((-27)\/(-108))\/(2\/2432)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 16*g - 8. What is the remainder when o(6) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 3*c + 2*c)*(2*c + 2*c**4 - 2*c) + (-4*c + 5*c - 3*c)*(-c + c - c**4) + 2*c**5 - c + c + (-c**4 + 0*c**4 + 0*c**4)*(2*c - 2*c + 5*c).\nAnswer: 3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/20*(-11 - (5 - 10)). Which is the second biggest value? (a) -2\/5 (b) 5 (c) -2\/11 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1281*i - 1130?\nAnswer: -1281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.7352486 - 4.\nAnswer: 11.7352486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5. Let s = -1.07 - -5.07. Is d smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-9))\/(4 + (-194)\/48). Suppose 2*o + f*b = 3*b + 23, 5*b + 73 = 2*o. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 0*j**3 + 2542*j**2 - 2542*j**2 - 2*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 + -0.38. Let n = -7 - -2.5. Let q = n - -0.5. Sort b, q, -1\/2 in increasing order.\nAnswer: q, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23213 - 11606 - 11607 + 96972*n.\nAnswer: 96972*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 4*d**2 - 3*d. Let p be m(3). Suppose 5*g + 11 - 1 = p. List the prime factors of -3*(g - (-3 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 331856 = 4*l, -80*l = -83*l - 3*g + 248934. List the prime factors of l.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 2.2. Let k = 2 - m. Which is greater: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-783)\/638)\/(((-260)\/55)\/13).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlh when three letters picked without replacement from hhlloholloh?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -43.4. What is the closest to -2\/9 in -6\/7, a, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 2*k**3 + 3*k**3 + 8 + 9*k - 8*k**2 + 3*k. Let d = 12 - 5. What is the units digit of h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 12:32 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -16. Let k = z + 15. Let u = k - 5. Which is the third biggest value? (a) -0.2 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 + 30*t + 96. Let g be f(-5). Calculate the greatest common factor of 74 and g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 5*g**2 + 2*g + 10. Let w be p(4). Let x = -19.3 - -19. Let d = 0 + x. Put w, -3\/4, d, 1\/2 in increasing order.\nAnswer: -3\/4, d, 1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -163204, -326410, -489620, -652834, -816052, -979274, -1142500?\n\"Answer: -2*h**2 - 163200*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:37 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -157, -110, -43, 32, 103?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11427239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -376135 - -143375. Round k to the nearest one thousand.\nAnswer: -233000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1369557901?\nAnswer: 137, 373, 26801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53.06 + -985.66. Let q = -932.900032 - n. Let w = 0.3 + q. Round w to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -50*c. Let p(z) be the second derivative of -5*z**4\/6 + 2*z - 3. Determine l(p(x)).\nAnswer: 500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 2 = -z. Let s = z + 7. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9, 2, -11, -30, -55, -86, -123?\n\"Answer: -3*v**2 + 2*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14968 - -15213. What is the greatest common factor of c and 1176?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**7\/294 + 2*x**6\/35 + 27*x**5\/70 + 9*x**4\/7 + 27*x**3\/14 + 7*x. Factor r(o).\nAnswer: o*(o + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2296 - 450. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 14*v**3 + 4*v**2 - 2*v + 10. Let f be b(4). Let l = f - -426. List the prime factors of l.\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w**(1\/6))**(-34)\/((w*w**3*w)\/w**1*w**(-1\/3)\/(w**6\/w)) assuming w is positive.\nAnswer: w**(395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 170218247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 116 + 96 = 0. Let x = -31 - -33. Suppose -3*t = -x*t - 3. Solve -23 = h*b - p, t*b - 2*p = b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/9 - 154*k**4\/9 + 2906*k**3\/9 - 20254*k**2\/9 + 57644*k\/9 - 55120\/9 = 0.\nAnswer: 2, 4, 5, 13, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97760297 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248710848.\nAnswer: 2, 3, 1295369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85245 + 35522. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/20 + k**4\/3 - k**3\/2 + 35*k**2\/2 + 80*k. Let z be v(5). Sort 4, -4, z, 1.\nAnswer: z, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 0, -1 + 10 = 3*j - 4*v. Solve 0 = 2*c - c + j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i**(-2\/13)\/i))\/i)\/((i*i*(i**(-2)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(54\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -3.21193?\nAnswer: 0.78807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*c + 96 = 0. Let j(v) = v**3 - 7*v**2 - 3*v + 6. Let l be j(4). Let d = l - -78. Calculate the highest common divisor of c and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 64 - 26 = 0. Suppose 3*k = 4*p - 2*k - 927, m = 3*k. What are the prime factors of p?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) - (sqrt(1792) - sqrt(1792)*-2)) + (-1*sqrt(2268) - sqrt(2268)))\/(sqrt(12)\/(sqrt(9)\/sqrt(3)*1)).\nAnswer: -41*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -499292 or -499290?\nAnswer: -499292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(425) + -1 + sqrt(425) + (4 + sqrt(17) + 0 - (-5 + sqrt(17) + sqrt(17) + 0)).\nAnswer: 7 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v = d - 69, 9 = 5*v - d - 13 - 8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5731, -5518, -5305?\n\"Answer: 213*p - 5944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(((s*s\/s**(8\/11))\/s)\/s)*s**(15\/7)*s)**(2\/53) assuming s is positive.\nAnswer: s**(904\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23165 is divided by 446.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183751368*y**2 + 367502745*y**2 - 183751375*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -74.28 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -78 (b) 4 (c) 0.3 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**5 + j**4 + j**2 + 2*j + 1. Let k(g) = -114*g**5 + 2*g**4 + 10*g**2 + 4*g + 4. Let z(h) = k(h) - 2*v(h). Find the third derivative of z(r) wrt r.\nAnswer: -6960*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/30 - 2*y**2. Let j(t) be the second derivative of t**4\/6 - 7*t. Give h(j(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -q - 2*q. Suppose q = t + 1. Is 18 a factor of 182\/t - 6\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**2\/2 + 9388*t + 2286537\/2 = 0. What is t?\nAnswer: -121, 18897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20.80519l?\nAnswer: 20805.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22785181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/(b\/(b*(b*b**1)\/b*b)*b))\/((b**6\/b)\/(b*b**(-4)\/b*b)) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 444671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 647636 and 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40375 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276981326.\nAnswer: 2, 138490663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -276 - -298. Let o(k) = 20*k - 105. What is the tens digit of o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 581, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-182)\/(-56) + 7 + -14)\/(1\/(-4)). Calculate the greatest common divisor of h and 1030.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 23. Suppose 24 = -a + u*a. Suppose 0 = 3*h + 2*v - 4, -h + 2*v = -a*h + 4. Solve h = -7*o + 4*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/5))**6)**33)**(-15) assuming r is positive.\nAnswer: r**(-1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1794361.97 to the nearest 10000.\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 43 - (1 + -23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1965?\nAnswer: -2\/1965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**5\/4 - 69*m**4\/4 - 120*m**3 - 222*m**2 + 60*m + 300 = 0.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83470 divided by 19.\nAnswer: -83470\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -2\/11 (c) -0.2 (d) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003400007 rounded to six dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) -9 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 38 = r + 2*g, -20 = -r + 3*g. Let w(p) = -p. Let z(y) be the first derivative of -6*y**2 - 2. Calculate r*z(h) + 3*w(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24506883 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2002*k**2 + 132342*k - 132342*k + (3*k + 0*k - 5*k)*(2 - 2 - k) to d + v*k + o*k**2 and give o.\nAnswer: 2004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401685009 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3) + 0) - sqrt(3) - sqrt(3) - (sqrt(432) + 2))**2 + (3*3*sqrt(147))**2.\nAnswer: 72*sqrt(3) + 12883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (11 + -20) - 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764690 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1811 = z - 486, -5*h + z = -2207. What is the highest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 21772932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 9 = 2*h, -2*t - 20*h = -25*h - 18. Let y = 7 - 5. Suppose -y*c + 3*i + 22 = 0, 2*c - 5*i = -3*i + 18. Put c, t, -2 in ascending order.\nAnswer: -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + 3925\/360 + -8. Suppose 2*w - 2 = 2*r, r + 5 = 2*w - 0*w. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*n**4 - 216*n**3 + 16*n**2 + 688857*n.\nAnswer: -168*n**2 - 1296*n + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 9. Let x be t(7). Suppose -x*b - 2 = -7*b - 3*v, -4*b - 16 = -2*v. Let a be 198\/15 - b\/(-10). What is the greatest common factor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 19 = -4*g + 3*o, -3*g - 3*o + 6 = 0. Suppose 0 = 5*p - 20, 6*p = -4*u + 2*p + 12. Let n = u - -1. Solve -g*d - 10 = -n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -303430*v**3 - 4175*v - 1 wrt v.\nAnswer: -1820580*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 15 = -5*s - 4*m, 3*m = s + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107931853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*t + 967*t - 3919*t + 974*t + 1006*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 11:23 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-82)\/4)\/(46\/184). Is -82 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25, 2\/7, -0.1, -217 in ascending order.\nAnswer: -217, -25, -5, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1254*y**4 + 32*y**2 - 100*y + 30221422?\nAnswer: 5016*y**3 + 64*y - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + -4 + -1 - 13294\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k)*((-5*k + 2*k + 4*k)*(-1 + 1 + 2*k) - 7*k**2 + 3 - 3 - 3 - k**2 + 3).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - x + 6. Is d(-7) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2538 - 58?\nAnswer: 24b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91341326.1 rounded to the nearest 10000?\nAnswer: 91340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 91\/5 (c) -16 (d) 2\/21 (e) 0.1 (f) -0.3 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 53698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149436 divided by 49812?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j = 2*j - 206530. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from tysimmysygss?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (12 - 15) - 29) + -13.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 747\nAnswer: 5\/747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-6)*-1)\/(-14))\/(235\/5640)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.3, -7, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 8505?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6409*k*s**3*x**2 + 3*k*s**3*x - 7*k*s*x**2 + 445*k*x**2 + k - 126*s**3 + 2*s**2*x + 48*s - x**2 wrt s?\nAnswer: 38454*k*x**2 + 18*k*x - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420 = 8*j - 13*j. What is the greatest common divisor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 4:11 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 100 = -103. Let r(v) = 28*v**2 + 2*v + 1. Let j be r(a). Round j to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39215 and 710930?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 92\/598 - -16*187\/(-13). Let q = i - -232. What is the nearest to 1 in -2\/3, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - -26*(-1)\/(-4). Is s at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -28. Suppose 0 = 4*c - 5*f - 23, 1 = -2*c - 2*c - n*f. Solve -3*b - 9 = -r, 16 = -2*b + 2*r + c*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-31)*(i\/(i*i*i**1))**(-2) assuming i is positive.\nAnswer: i**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 - m**5\/60 + m**4\/4 + 25*m**3\/6 - 5*m**2. Let k be q(7). What is the highest common factor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111646121 - 5?\nAnswer: -111646126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1367 + -1372. Which is the closest to -1\/4? (a) 2 (b) 16 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, 3863, -74 in ascending order.\nAnswer: -74, -7, -1, 3863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 - 2*y**2 + 2*y**2 + (3*y - 2*y + 0*y)*(-y - y + y) + 0*y**2 - 3*y**2 + 2*y**2 - 98 + 198 - 34*y**2 - 2*y - 102.\nAnswer: -38*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 2*k**2 - 3*k + 1. Let w be f(3). Which is the smallest value? (a) 2 (b) -0.22 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 95 = 5*b, -4*b - 71 = -3*n - 0. Suppose 3*a = 280 - n. Let u = 166 - a. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - 52 - (1 - 14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 1. Let x = 5695 + -5700. Let s(g) = -4*g - 1. Calculate x*s(y) + 7*z(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let y be 64\/44 - (-18)\/(-21)*(-196)\/308. Let h(s) be the first derivative of -33 + 8\/3*s**3 + 0*s + 0*s**y. Calculate d(h(w)).\nAnswer: -128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1113 + 1112.95. What is the closest to 4 in -0.4, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*t**2 + 108*t**2 + 15*t**2.\nAnswer: 179*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 211*x**4\/2 + 619*x**2 + 46*x - 1. Differentiate u(c) wrt c.\nAnswer: 2532*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.605424225 rounded to 3 decimal places?\nAnswer: 0.605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3204003 (base 6) to base 12.\nAnswer: -76603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5037\/365*570\/(-171).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-13 + (-1 - -23) - (1 + -9))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -158 - (-42 - (-13 - (24 - (9 - -11))))?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 216 + 180. Calculate the greatest common divisor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 2*g**3\/39 + 5*g**2\/13 + 12*g\/13 + 9. Factor r(f).\nAnswer: 2*(f + 2)*(f + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 6*k**2 + 74*k + 11. What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bba (base 16) to base 8.\nAnswer: -15672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4259 a factor of 203303793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o = -3*m - 21, 9 = -o - 3*m. Let c(j) = j**2 - 2*j. Let q(v) = 38*v - 68. Calculate the least common multiple of c(o) and q(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 6:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 3*u + 10. Calculate n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -12. Suppose -2*k + 65 + 23 = b. Suppose w + 4*r = -3*w + 12, 4*r = -3*w + 8. What is the greatest common divisor of k and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 5. Let w be z(-3). Suppose w*t - 5*t = -24. What is the highest common divisor of t and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 17*u + 39 = 0. Let n = u + -8. Suppose -n*r = 4*b + 296, -2*b + 2*r - 178 = -12. Round b to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*l + 29 + 14, 3*l = -2*x + 5. Let c be (-4)\/18 + x\/18. Let q = -7 + 7. Which is smaller: q or c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 210*q - 7982. Give v(-217).\nAnswer: -6463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 25*z**2 - 50*z + 106. Give t(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*f - 3 = -21, -f = 5*y - 17. Solve 5*w - t - 4 = 9, -2*t + 2 = y*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 10:46 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 4, -5.\nAnswer: -120, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + 26. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 + q - 8. Let a(p) = 6*p**2 - 7*p + 7. Let j(n) = 10*n**2 - 13*n + 14. Let t(f) = 11*a(f) - 6*j(f). Give -5*i(z) + 6*t(z).\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 12, 5*s + 15 + 4 = 3*l. Let i be (6\/(-4))\/(1\/s). Suppose 28 = c + 4*r + r, 4*c + i*r - 27 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 12*l**2 - 8*l - 2. Let g be 8\/36 + (-202)\/18. Let j be f(g). Let r = j + 42. What is the remainder when 20 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745752 is divided by 5180.\nAnswer: 5012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.142*-3.\nAnswer: 0.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g - 10. Solve -g + 10 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 36 = o - 2, 2*o - 2*a + 8 = 0. Let q(y) = 6*y**2 + 16*y + 31. Is q(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1396*d**2*x**2 - 2*d*x**2 + 145*d*x + 5*x**2 wrt d.\nAnswer: 2792*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/1)\/((-386)\/579)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 4*o**2 + 30*o - 6. Let k be b(6). Suppose z - 126 - k = 0. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 274\/(-685) - 9\/(-35). Is -0.0745 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-280))\/(489\/(-5216)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*g*h**3*v**3 - g*h**3*v**2 + 518*g*h*v**3 - g*h*v**2 - 1086143*g*v**2 + h*v wrt v.\nAnswer: 1248*g*h**3 + 3108*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-5)\/(150\/8))*252\/315.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -41194500*f**3*t - 271774510*f**3 - f*t - 4*t + 2 wrt t?\nAnswer: -41194500*f**3 - f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(117) + sqrt(117)*-1))\/((sqrt(99)*-1)\/sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:08 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(32) + sqrt(32)*2))\/(sqrt(900)*5*1 + sqrt(900)).\nAnswer: sqrt(2)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2*s*s)**(-44)*s\/(s\/(s*s**(-7)))*s**(-1))\/((s\/s**5*s**(3\/4)\/s)\/(s**2*s*s**(7\/3))) assuming s is positive.\nAnswer: s**(-497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*c. Suppose 2*b + 3*j + 1 = b, c*b = 3*j + 9. Suppose -b*a + 79 = -95. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 41811*f - 334543. What is h(8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -734*u**3 - 2948*u**2 + 15366*u + 252 = 0.\nAnswer: -7, -6\/367, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42397583 and 2389.\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -795*i**3 - 13*i**2 - 61*i - 60. Does 26 divide n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -850*c**2 - 843*c**2 + 829*c**2 - 7 in the form k + i*c**2 + p*c and give i.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 2*h**2 + 313*h + 919. Calculate y(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - k = 5771, -5*u = -u + 3*k - 4613. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**7\/5040 - 23*k**6\/240 + 5*k**5\/6 + 3*k**2. Let x(s) be the third derivative of p(s). Let z(c) = c. Give x(z(o)).\nAnswer: -o - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -77748.89 and -910.33?\nAnswer: 76838.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -4, -0.03, 98, -5\/3, 9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r + 58 - 30*r - 56. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2*o + 2*o + 7*o**4) - 3 + o**4 + 3 + (3*o**2 - 2*o**2 - 3*o**2)*(3*o**2 + 2*o**2 - 3*o**2) + o**4 - o**2 + o**2 + 6*o**4 - 3*o**4 - 5*o**4.\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157757283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -3)*(1 + -2). Let t(r) = 2*r**2 + 2*r - 1. Let i(d) = d**2. Let y = -32658 + 32662. Determine o*t(j) + y*i(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**2 - 1864*a + 217156 = 0. What is a?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3645599 is divided by 1120.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -239667*d**2*g - d**2 + 676744*d*g wrt d.\nAnswer: -479334*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464185 = -5*t + 464180, 3*p = -3*p - 2*t + 46 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16349 + 16351. Let a(p) be the first derivative of 15\/2*p**m - 5\/3*p**3 + 0*p - 30. Find the second derivative of a(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d844f (base 16) in base 13?\nAnswer: -108b403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625274.5 rounded to the nearest 1000?\nAnswer: 1625000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21192 + -11164. Is 92 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/959884 and -83\/1044.\nAnswer: 250529724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -66*w + 1322. Let y be f(20). Which is the closest to 1\/11? (a) -0.3 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 + 0.03. Let b = -98649 - -98650.5. What is the second biggest value in 2\/7, b, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 3, -23, -20, 2, 11 in ascending order.\nAnswer: -23, -20, 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - 366*k**2 - 367*k - 99. Calculate the remainder when u(184) is divided by 63.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343 (base 5) in base 13?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924*s - 100889 - 130331 = 534*s + 19496 for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)\/a**22)\/((a*a**(-3\/2))\/a**(-4\/5)) assuming a is positive.\nAnswer: a**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 8160*n + 409444.\nAnswer: -4*(n - 2089)*(n + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.932 - -38. Let d = r + -0.06854. Round d to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -1\/2*u**2 + 4*u + 1\/3*u**4 + 0 + 0*u**3. Differentiate y(b) with respect to b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 240. Let l = -73.8 - d. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 23 - 10*l + 27 - 14 + 25*l - 14*l.\nAnswer: l + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 2096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 61\/(-732) + 61\/12. Let j be (1\/2 + -1)*-22. Solve -j - 14 = x*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*y, 0*p + y - 18 = -4*p. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143124 * -2\nAnswer: -286248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45017894*d**2 + 45017894*d**2 + 30111*d**3.\nAnswer: 30111*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + d**2)*(-3*d + 3*d**3 + 3*d) + (-2*d**3 + d**3 - d**3)*(-6*d**2 + 5*d**2 + 0*d**2).\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -229, -227, -225?\n\"Answer: 2*d - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 117408787*z. Let k(v) = -19888*v. Calculate -29517*k(b) - 5*t(b).\nAnswer: -9839*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -668.2542536 to 2 dps.\nAnswer: -668.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 12:32 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-951)\/3487 - ((-64)\/(-34) + -1)\/11?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 729, 698, 595, 384, 29?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -167 and 2\/709 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019388223 rounded to 5 dps?\nAnswer: -0.01939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4526773, -4526808, -4526875, -4526986, -4527153?\nAnswer: -4527388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/4 + g**3\/3 + 13*g. What is the second derivative of q(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -401*i**3 + 412*i**3 - 3*i**4 + 2*i**2 - 1 - 3*i**2 + i + 1 as v*i**4 + f*i + y + c*i**2 + k*i**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 23790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 25 - 25)*(-1 + 0 + 0)*(-10*a + 8*a + 37 + 3).\nAnswer: -8*a**2 + 160*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-6 + -2 + 2 - -4)) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1045 - 2*r - 1151 - 876 - 347 - 1041.\nAnswer: -2*r - 2370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -6. Suppose -2*r - 5*o + 15 = 0, r - 3*o + 15 = 2*o. Let t(c) = c**3 + c**2. Let q be t(r). Solve q*s = h*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119.2 + -119. Let f = -0.5 + 0.7. Let v = f - n. Which is the third biggest value? (a) v (b) -0.3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**4 + 12404*k*m + 52168*m wrt k?\nAnswer: 4*k**3 + 12404*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2784, -3827, -6648, -12135, -21176, -34659, -53472?\nAnswer: -78503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/7 + 8*t**3\/7 + 8*t**2\/7 - 32*t\/7 = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -37*i - 7. What is the remainder when l(-5) is divided by 68?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135942225 divided by -1\nAnswer: 135942225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3000 = -3*z. Suppose -v - 2*f = 376, -z = 2*v - 3*f + 131. Is (-3)\/7 - v\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71775.\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 5\/2*o**3 + 4\/105*o**7 + 0*o - 5*o**2 + 1\/12*o**4 + 3 + 0*o**6 + 0*o**5. Differentiate t(n) wrt n.\nAnswer: 32*n**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.763 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329 - 257. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 6*j**2 - 4*j - 17. Determine q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s + 1. Suppose -3*c - 3*n - 18 = 0, 2*c = -0*c + 2*n + 8. Let k be w(c). Suppose 4*f + k*o + 4 = 0, -3*f - 2*o = 3*o + 3. Sort f, 3, -1\/2.\nAnswer: f, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(1 + 3 - 3)*(-b**3 + b**4 + b**3).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -167, -182, -141, -8, 253?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 384 = 1207 + 407. Let q(h) = -h**3 - h**2 - h + 1702. Let n be q(0). What is the greatest common divisor of f and n?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/(-15) + 2)\/(10\/(-3050)). Let t = a + 149. What is the remainder when 105 is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -273, -262, -251, -240, -229, -218?\n\"Answer: 11*x - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 4*l + 26 = -3*y, 0 = 4*y + 2*l - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*p + 77 = -35*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 813 and 180042644.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12*n - 2. Let s(r) be the first derivative of -2*r**2 + r - 170. Determine -3*d(b) - 8*s(b).\nAnswer: -4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 291605502 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*u + 183 + 158 = 0, -114 = -b - 5*u. Let k = -47 + b. What is the common denominator of 31 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*y + 10, 14 = 2*u - 2*y - 0*y. What is the biggest value in -1\/2, 1, 0.05, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3688\/345 - 1191\/115. Factor 14\/3*u + 0 - m*u**2.\nAnswer: -u*(u - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2.847388?\nAnswer: 0.2847388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 340022?\nAnswer: -340020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29560197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 43 and -349.\nAnswer: -15007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103511853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*q**3 - 27*b**2*q**3 - b**2 + 2*b*q**3 - 4*b*q + 1 wrt b?\nAnswer: 6*b*q**3 - 54*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iry when three letters picked without replacement from gxgrgiiegiyyxxe.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 103.34737 times -0.5\nAnswer: -51.673685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 8cd79?\nAnswer: -8cd77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.43 at most as big as 192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1653 - -1655. Solve -4*c = 4*f - 2*c - 6, 0 = f + v*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 60 = 3*c, 5*c - 31 = -q + 46. Let n(x) = x**3 - 16*x**2 - x + 16. Let v be n(c). What are the prime factors of (-2 + 36\/(-8))*(-2 + v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**4 - 2*j**4 - 3*j**4 - 2*j**4 - j**4 + j**4 + (j**4 + 3*j**4 - 2*j**4)*(1 - 2 - 1) + 35*j**4 - 215*j**4 - 86*j**4.\nAnswer: -271*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 203601 and 0.034.\nAnswer: 203601.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548132 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 7. Let y = -5 + d. Find the second derivative of -y*g + g + g**5 + 3*g wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/((3 - 0) + -4). Suppose 2*c + v*c + 4*b = 72, -3*b + 99 = 3*c. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d - 152. Let n = -28 - d. Find the third derivative of -10*r**2 - n*r - 9*r**4 + 10*r + 3*r**2 wrt r.\nAnswer: -216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 910 - 905. Solve -390*a + p = -391*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(236\/(-238) - -1). Let w = p - -40. Let r = 82 + w. Solve -r*s - s = -12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 621, 612, 581, 522, 429, 296, 117?\n\"Answer: -m**3 - 5*m**2 + 13*m + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -4. Let d = -27 + m. Let q = d + 12. Which is bigger: q or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105413396 a multiple of 2881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 9. Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4196 + 2191 = -624*h + 7355 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146068.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -790\/552973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 126046635.\nAnswer: 126046635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**4\/3 + 4*u. Suppose -5*d - 12 = m, -5*d - 9 = -m - 3*d. Calculate the remainder when h(1) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10340.53491 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let r = -3.9 + -0.1. Let p = r - -8. What is the nearest to y in p, 5, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -381*l**3 - 556*l**3 + 1141*l**3 - 455*l**3 - l + (-6*l + 0*l + 4*l)*(0*l**2 + 6*l**2 - 3*l**2).\nAnswer: -257*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4570884 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: What is the third biggest value in -245, 3\/2, -3, 8255, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*a + 4087*a**2 - 9 - 3 - a.\nAnswer: 4087*a**2 + 4*a - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -100*h - 1. Let p be l(-1). Let w = 130 + -94. What is the greatest common factor of w and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/5665 and 19\/135?\nAnswer: 152955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*u + 458. Which is greater: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 175694968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00224917966 rounded to six dps?\nAnswer: -0.002249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -4313*x**6\/30 + x**4\/3 + x**3\/3 - 15*x**2\/2 + 98*x - 20. What is the third derivative of g(w) wrt w?\nAnswer: -103512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5945840.74 to the nearest ten thousand.\nAnswer: 5950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -1\/10*w**5 + 0*w**3 + 37\/4*w**4 + 2*w + 2*w**2 - 1\/42*w**7 + 0 + 0*w**6. Find the second derivative of y(d) wrt d.\nAnswer: -60*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402004847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 1. Let i be -6*(64\/3 - -4). Let c be (i\/(-16) + -11)*2\/(-1). Calculate a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1278469\/140 + -36521\/4. What is the common denominator of 33\/28 and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 117 - 42 + 45 = 0. Solve -2*v - 10 = a*g, 12*v + g = 16*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**3 - g. Let v be z(1). Suppose 49 = 3*a + 4*r, 4*a - 41 = r - 1. Suppose 13 = v*b - a. Solve -13 = -b*n - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405275 is divided by 1608.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-18)*9*-3)\/(21\/(-126))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 11*h + 33. Let s be b(13). Calculate the highest common divisor of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgt when three letters picked without replacement from {g: 2, t: 2, w: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502482 and 2822?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 + -62. Suppose -x + f = d, -33 = -2*d - x - 2*x. What is the smallest common multiple of 4 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10343874323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 884779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 960, 1954, 3616, 5952, 8968?\n\"Answer: w**3 + 328*w**2 + 3*w + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36092845 divided by 7218569\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/52 and (-1027)\/52*(-5)\/(-20).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -393, -1, -15.\nAnswer: -393, -15, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188461 and 2223?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20032\/(-81380))\/((-4)\/(-5))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = -1 + 14 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*b + 501 + 1889 = -126 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) -0.2 (c) -5 (d) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 4*b**3 - 14*b**2 + 40*b - 24.\nAnswer: 2*(b - 2)**2*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*s**5 + 7*s**4 + 4*s**3 - 15*s**2 - 6*s - 93?\nAnswer: -1560*s**2 + 168*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**13*d)\/(d\/d**28*d))\/((d*d**(-1\/3))\/(d\/d**(-21))) assuming d is positive.\nAnswer: d**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, 4\/3, 0.1, -5, -111.5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*d + 9. Suppose -7*i = -d*i - 260. What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-5) + (-8)\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -4.26. Let i = 0.04 - h. Let w = 5.4 + -5. Which is the nearest to 0.2? (a) i (b) w (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618.\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + p = 4*t - 37, -2*p = 2. Suppose 4*f = -4*n + 4, -10 = -2*n + 3*f + t. Which is the closest to -0.1? (a) 4\/3 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-20 + 34)) + (5 - 8 - -9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3 + 3*i**3 + i**2 + 3*i**3 - 5*i**3 + 3*i**2. Let z be n(-4). Let d = 0.5 - 1. Which is the nearest to z? (a) d (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21894*y**2 - 516*y**2 - 397*y**2.\nAnswer: -22807*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/398*((-3)\/1)\/(8613\/1914)?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-22)\/(a*(a**(-37)\/a)\/a*a))\/((a**(11\/3)\/a)\/(a\/((a**(-30)*a)\/a))) assuming a is positive.\nAnswer: a**(130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 892090 > 892090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 965.\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156.8 + -157. Which is the smallest value? (a) -4 (b) 0.23 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-1001)*14\/4. Let g = 67\/120 - 13\/30. What is the nearest to 2 in g, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fegdatfa. Give prob of sequence aa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5179, -10333, -15487?\nAnswer: -20641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**4 - 2*u**3 + 2*u. Let y(a) = 25*a**4 + 17*a**3 - a**2 - 17*a. Let j(c) = 51*v(c) + 6*y(c). What is the third derivative of j(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - n + 1. Let z(l) = -9*l**2 - 4*l + 5. Determine 5*j(d) - z(d).\nAnswer: 4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-70)*(-255)\/357?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 7:07 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 534 + -532. Solve r + 3*r = 5*y + 25, 3*y + a*r - 7 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4191406?\nAnswer: 2, 139, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -892 + 2925 = 4212*i - 4174*i - 817 for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34533911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j - 5. Let l be b(-4). Suppose 0 = -5*o - 3*p + 116, 0 = 3*o - 5*p + p - l. Calculate the remainder when 98 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.57, -4, -0.0631?\nAnswer: -0.0631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miiriirgimirrmmigr. What is prob of picking 2 m and 1 g?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/108 and 11\/120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-706971)\/(-35796) - (-38)\/(-2 + 0).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 359.8 (b) 5 (c) 2\/7 (d) 1\/5 (e) 1253\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1842 - -399. Does 40 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 + 9280*g + 8263236 = 0.\nAnswer: -687, 3007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2159, 2\/5, 5?\nAnswer: -2159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 6 = 2*o. Let k(m) = m. What is k(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2441 divided by 81.\nAnswer: -2441\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1*(1 + -1). Suppose -3*f = p*v + 2*v - 60, v - 30 = 3*f. Suppose -4*q - 43 + v = 0. Let l(h) = h**2 + 6*h + 3. What is l(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4304 divided by 2152.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(2\/7)*l)*l))**(-49)\/((l*l\/(l*l**(-1\/3))*l)\/(l*l**(4\/5))) assuming l is positive.\nAnswer: l**(-218\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.0356 - -0.0356. Which is the nearest to 5? (a) f (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*b + 69666 = 2*d - 61*b, b + 139244 = 4*d. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, 44, 126, 246?\n\"Answer: 19*b**2 - 13*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 2*x**2 - x**2 + (0 + 0 + 1)*(4*x + 2*x**2 - 4*x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4423002124 + -2?\nAnswer: 4423002122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*q = -21 + 9, 0 = -2*k + q + 24. Suppose -4*t - 37 = -1. Let z(o) = -o - 3. Let j be z(t). What is the highest common factor of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1859688 and 46043?\nAnswer: 76247208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 475043 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = 27*z - 30*z, -z = -2*n. Let l(j) = -j**3 + 7*j**2 - 5*j - 4. Let q be l(6). Let x = 1169\/5 + -233. What is the nearest to n in x, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -799 + 1135. Suppose 0 = -0*n + n + 2*z - 177, 2*n - 5*z - g = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27190305247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/32226 and -81\/16.\nAnswer: 257808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 430162.1l?\nAnswer: 430162100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-3)\/(-6)*6). Let q = k - -1. Solve -5 = d - q*f - 13, -5*d + 3*f + 26 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 26*n = -23*n - 10, -5*s + 4*n = 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.2 - -7. Let p = 1.26 - w. Let o = p - 1.22. Round o to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18404 (base 10) to base 9.\nAnswer: -27218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -3\/70*r**5 - 14*r + 0*r**3 - 1\/70*r**6 + 0*r**2 + 1 - 1\/28*r**4. Suppose i(n) = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1006 - -1469. Suppose -z + d = 2*h, 3*h + 2*z - 708 = 5*z. Suppose 4*i - h = 387. What are the prime factors of i?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 8, -d = -0*d - 3*x - 10. Let l = -3 + d. Which is the closest to l? (a) -1 (b) -2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - sqrt(209)*1)*3 - sqrt(209)*-1*-1)\/((sqrt(275) + sqrt(275) + sqrt(275)*-1)*-2).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7147 - 215*p + 7147)*(24 - 11 - 11 - 4 - 50 - 21).\nAnswer: 15695*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 3. Suppose -5*u - 3*r - r = -3, 9 = -2*u - 5*r. Solve 4*t - u*d - 3 - 8 = 0, 0 = -4*t + d + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108647897, -217295796, -325943695, -434591594?\nAnswer: -543239493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 406)\/(15\/(-3) + 0 - -3). What is the highest common factor of 6834 and n?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022815188 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 315? (a) -2 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3880 and -101\/776.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 57*b = -24. Find the third derivative of -g**2 + 28026*g - 28026*g - 20 + 22*g**b wrt g.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5054755\/132 + -38293. Calculate the common denominator of 79\/198 and z.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*x - 5*x + 14*x + 3 + 10*x - 5*x - 2 + (1 - 3 + 1)*(-x - x + 3*x) to the form m*x + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 86227 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: What is next in -34591, -64700, -94811, -124924?\nAnswer: -155039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 + (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-197)\/87 - 1071\/(-459).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**4\/4 + 5*m**3\/3 - m**2\/2 + m + 1. What is the lowest common multiple of c(-5) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1352741121?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3339804361\/13111 - 254733. Let l = x + 1271787\/131110. Calculate the common denominator of l and 14\/8*17\/(357\/318).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90 + 16 + 4)*(-2*j**2 + 2*j**2 + 2*j**2) as y*j + g + n*j**2 and give n.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)\/(sqrt(99)\/sqrt(9)))\/sqrt(3200))**2.\nAnswer: 11\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*v + 213 = -2313, 0 = -2*k - 4*v - 1682. Let m = k - -1400. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r + 114. Does 58 divide y(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/105 + (-11)\/(-15). Let h = 44\/7 - 6. Which is the closest to 1? (a) h (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10934*f**4 + 120*f**3 - 30*f - 4913 wrt f.\nAnswer: 131208*f**2 + 720*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2218.969g?\nAnswer: 2.218969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531942263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17362 = -359*i + 5074 - 12842 for i.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153594 by 1449.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 - -70. Suppose -o*h + 5*r = -175, 35 + 3 = h - 4*r. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 take away 0.04604036173607?\nAnswer: -114.04604036173607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(1*sqrt(900) + sqrt(900) + sqrt(900) + sqrt(900) + sqrt(900)))\/(sqrt(1323) - sqrt(1323)*-2).\nAnswer: -500*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(108))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + -26.7. What is the nearest to 1 in 2, o, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000166911301 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*z + 33*z - 385844*z**3.\nAnswer: -385844*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h**2 - 2*h + 2. Let z be q(2). Suppose -4*k + z = -18. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (90\/(-90))\/((-3)\/462663) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1822*i + 80188. Give m(-44).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.06 + -1. Let r = 0.24 + s. Let f = 3.475 - 1.475. What is the closest to -1 in 5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 174\/(-462). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409216780 divided by -1?\nAnswer: 409216780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = i. Let a be -6*(6\/4)\/i. Let c = a - -6. Solve c*p - 3 = 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n - 63*n + 30*n = -3*c + 9, 13*c - 19 = 3*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -12*m**2 + 87*m - 171. Calculate w(2).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 461395.\nAnswer: 42\/461395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2693, 22993, 78509, 186851, 365629, 632453, 1004933?\n\"Answer: 2935*f**3 - 2*f**2 - 239*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84, -91, -98?\n\"Answer: -7*v - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -5*o**4\/8 + 5*o**3\/4 - 5*o**2\/8 - 2. Factor z(m).\nAnswer: -5*m*(m - 1)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjtttttjbbjjtbjtbyjj. What is prob of picking 2 t?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 19*l**2 - 11*l**2 - 11*l**2 + 11*l**2 - 12*l**2. Let d(m) = -59*m**2 + 8. Let h(f) = 39*f**2 - 5. Let p(s) = -5*d(s) - 8*h(s). Calculate q(p(t)).\nAnswer: -1156*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 14*c. Suppose 3*x = 2*g - 5, -4*x + 7*x - 9 = 0. Suppose 4*k + 108 = 26*i - 24*i, 0 = 3*i + k - 148. What is the remainder when j(g) is divided by i?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + 20. Let t be 1\/((-65)\/(-26)) + 189\/15. What is the greatest common divisor of t and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 + 1 = 0. Let n be (-5)\/30 + o\/(-30). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 5*i**2 + 6*i - 3. Let j be g(-3). Let y(v) = 3 - 3*v**2 + 2*v**2 + 2*v**2 + 5*v. Let n be y(-4). Sort j, n, 3 in increasing order.\nAnswer: j, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -15, -5, 3 in decreasing order.\nAnswer: 5, 3, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + 9*v - 9. Let p be f(-4). Suppose z = 5*z - 2*o - 10008, -p*z + 4*o + 7501 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.10432 and -112.\nAnswer: -11.68384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kx when two letters picked without replacement from kaax?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 45 - 55 = g, 86*c - 3*g = -3*g + 2*g - 1466 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92182*n**3*w + 2*n*w + 16492*w + 2 wrt n.\nAnswer: -276546*n**2*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*o + 2 + 97*o - 4*o**2 - 154*o + 80*o**5 - 395*o + 55*o**5 wrt o?\nAnswer: 2700*o**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -105*f**2 - 49*f + 49. Let p(r) = 13*r**2 + 6*r - 6. Let t = -45 - -94. Let h(q) = t*p(q) + 6*v(q). Let c(s) = -2*s. What is c(h(l))?\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-839 - -839) + 26 + 0\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379637.\nAnswer: 71, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccs when three letters picked without replacement from {c: 5, y: 2, s: 4}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12111516503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i - 4*i - i + 8*i to r*i + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170509\/20 + -8531. What is the common denominator of n and 12\/(-39) + 29024\/(-174720)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 8 - 2*a)*(1 + 2*a - 1)*(a + 1 + 0*a - 2*a).\nAnswer: 4*a**3 - 12*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8*z - 252 = 0. What is the units digit of (-87)\/2*28\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*(0 - (-1)\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-1)\/11) + -4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -132, -85 in descending order.\nAnswer: 4, 0, -85, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 13) to base 15\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 24672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1246892 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 6. Let t be c(-9). Suppose 3*v + 0*v = t. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -67. Let z = j + -29. Suppose z*k = 18*k - 410. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/27)\/m)\/(m**(-30)*m)*m**(-9\/8)*m*m\/m**(-2\/9)*m assuming m is positive.\nAnswer: m**(6493\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - p**4 + 0*p**4 + (4*p**4 + 0*p**4 - p**4)*(4 + 0 - 5).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/5 - 372*u**3\/5 + 1440*u**2 - 39744*u\/5.\nAnswer: 4*u*(u - 69)*(u - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 5*c = -25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455096191 - 23.\nAnswer: -455096214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sddsdsdsdssss.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.1586 (b) 2\/11 (c) -9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.5961 micrometers in meters?\nAnswer: 0.0002535961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2306986.\nAnswer: 2, 11, 9533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 38 in -2\/19, 0.17, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1378121 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - 8. Suppose 0 = 5*s + 2*y + 12, 5*y = -2*s - 14 + 5. Put -1, s, t in increasing order.\nAnswer: s, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/503142 and 83\/22473676?\nAnswer: 67421028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37288 smaller than 32589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.3 - 28.3193. What is d rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o**2)\/((((o**(2\/3)*o*o*o)\/o)\/o*o)\/o**8) assuming o is positive.\nAnswer: o**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**3 + 378*i**2 + 5832*i = 0.\nAnswer: -108, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*j*n**3*t**3 + 2*a*j*n*t**3 - a*j*n + 23*a*n**2*t - 2*a*n*t**3 + 22*j*n**3*t + 2*j*n**2*t**2 wrt n?\nAnswer: 24*a*j*t**3 + 132*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a factor of 1283395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, l: 12}. What is prob of sequence tlll?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2952 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 7:03 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2642860 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -82 - 14. Suppose 4*q = 4 - h. Sort -15, 2, q.\nAnswer: -15, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5371, -5374, -5367, -5344, -5299, -5226?\n\"Answer: u**3 - u**2 - 7*u - 5364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/2 - (-2 - -5). Let m be (1 - t)*(-8)\/(-16). Solve -5*r - 4*p = m, r - 2*r - 5*p + 21 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14064 times 5\nAnswer: -0.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14561 divided by 12\nAnswer: 14561\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {w: 1, j: 1, m: 1, r: 1, q: 2, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let l = w - 0. Let f(n) = n**2 - 3*n + 3. Let a be f(l). Solve -a*t = 2*t + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241 - -244. Let y(l) = 38*l**3 + 4*l**2 + 3*l - 5. Let c be y(j). What is c rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/(-10))\/((-9)\/6). Let r be (m - (-49 + -3)) + 3. Let u = 78 - r. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*x**2 - 4*x**3 - 10*x**2 + x**2.\nAnswer: -4*x**3 + 79*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (-355138)\/21. Let n be ((-3)\/114)\/(63\/o). Let u = 10\/1197 - n. What is the common denominator of u and -121\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 - (-845)\/(-52))\/(6\/1). What is the smallest value in 2920, 3, -1\/3, d, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, j: 5}. What is prob of sequence jaaj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, -158, -377, -624, -899, -1202, -1533?\nAnswer: -1892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102439.\nAnswer: 89, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 + 1 = 0. Suppose -272 = -c*v + 2*i, -i = 2*v - 3*i - 104. Calculate the highest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602427781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000421756 rounded to seven dps?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0*v + 0*v)*(1 - 2 - 1) + 34 - 34 + 11*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116*z**4 - 42 + 118*z**4 - 234*z**4 - 8*z**2 - 637*z**6 wrt z.\nAnswer: -76440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2772.2 + 2769.2. Is p less than or equal to 1360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 1. Let f be (0 + 11\/3)*(0 + 6). Let k(h) = 8*h**2 + 11. Calculate f*w(z) - 2*k(z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 7. Let i = -124 + 71. Let u = i + 53. Give r(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -f + 3*q, 130*q + 26 = -3*f + 128*q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 - 38. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 624 and 8750508?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/20 + g**4\/3 - g**3\/3 - g**2 - 21*g. Let f be s(2). Solve -10*j - f = -9*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1568*b**2 + 462*b**2 + 23*b**2 - 249*b**2 in the form v*b + q*b**2 + m and give q.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 4182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2269.413 to the nearest integer.\nAnswer: -2269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -2. Suppose 4*q - f = n, -5*q - 4*f + 0 + 23 = 0. Differentiate -q + 5*t + 5 - 4*t wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 5. Let u be t(-5). Let h = 13.9 + -16. Let m = h + 1.7. What is the smallest value in u, m, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.2 (c) -2\/7 (d) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b**3 - 6*b**2 + 2*b + 2. Let c be p(-2). Suppose 1 = -2*f + 3*r - 4*r, 4*r = -4*f - 12. Solve -5*x = -f + c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 10. Let m be q(8). Let f = m + 15. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144\/152 + -1 - 0\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.782586244 rounded to three decimal places?\nAnswer: 2.783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 78?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j = 42. Let u = -35 - j. Differentiate u*f**4 - f**4 + 168 + 9*f**4 - 173 with respect to f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5548782 and 85542.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(4 - (2 + 4)). Suppose b - 787 = -2*h, 0*h = h + o*b - 391. List the prime factors of h.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3 and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 less than 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 (base 7) in base 14?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from wsggggsgswdsgwqgggws?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, y: 1, n: 1, l: 2}. Give prob of picking 1 n, 1 s, 1 y, and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1128 and 95\/333144.\nAnswer: 15657768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 4, a: 2, r: 1, f: 2}. Give prob of sequence ia.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a71614 (base 11) in base 9?\nAnswer: 3203562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -48c6abd?\nAnswer: -48c6ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:46 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 8256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(3\/9)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = 35*v + 39010. Is v smaller than -831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/4)\/(3\/12). Suppose -1 = -2*s + p. Solve 4*w + s = 5*d, 7*w + 8 = 2*d + 3*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.898272 centuries in years?\nAnswer: 489.8272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 304 and 1488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 194550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35920 divided by 11198?\nAnswer: -17960\/5599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let b(o) be the second derivative of 1\/4*o**4 - 53\/6*o**3 + 0*o**2 - 68*o + 0. Determine k(b(p)).\nAnswer: -6*p**2 + 106*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 41 = 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*q = -0*o + 3, 10 = -5*q. Solve 5*r - 7 = 2*b, -5*b - 2*r - 4 = -o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3614355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(-1 - 3 - 2) - x - 5*x - 3*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onno when four letters picked without replacement from {q: 3, t: 1, o: 6, n: 8}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -691 + -0.03.\nAnswer: -691.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b30b5 - 5?\nAnswer: 3b30b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50172501, 50172499, 50172495, 50172489, 50172481, 50172471?\nAnswer: 50172459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2344258 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 13102354?\nAnswer: 2, 6551177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 243*r**2*t - 7893*r**2 - 46*r*t - 12*r - 1606 wrt r.\nAnswer: 486*t - 15786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y**2 + 2*y - 11. Let f = -23 - -35. Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1449 is divided by 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 15 = 2*o - 41, -4*j + 13 = o. Suppose -21 - 5 = -o*y. Calculate the highest common divisor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -78. Let c = 28 + h. Let f = 104 + c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1917443\/8708 + -115\/1244. Is x less than or equal to -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*r = 732*r - 50 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 19*f + 14. Let b be w(18). Is b less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2652 - 2569. What is the remainder when 333 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c**2 - 4*c + 16. Determine g(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 268383 and 3288?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + 19*y + 40. Let p be t(10). Let q = -37 - p. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/4)\/(12\/24) - -1302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljl when three letters picked without replacement from {l: 3, j: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 8*h**2 - 40*h + 1. Determine k(5).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 415016 (base 11) to base 5.\nAnswer: 132244032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3985?\nAnswer: 5, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d - 4*h + 28, 40 = 5*d + 5*h. Suppose 4*l - d = 136. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 - 2)*1. Suppose -s*g + 117 = 9. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(65) - (sqrt(65) - sqrt(65)*2)) + (sqrt(65) - sqrt(65)*1*-3))*6)\/(4*sqrt(245)*-2*6).\nAnswer: -3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 - 217943552829?\nAnswer: -217943552828.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - ((1*sqrt(1584))**2 - sqrt(1584))) + (1 + sqrt(99))**2.\nAnswer: -1484 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 213867.\nAnswer: 1497069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/10274 and -97\/1868.\nAnswer: 20548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -708.804 + -84.176. Round y to the nearest 10.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) -0.12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 n when four letters picked without replacement from nknnkhhknkk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -391.2177?\nAnswer: 390.2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*(0 + -4*sqrt(1088)))**2 - (-5 + -5*(sqrt(1088) + 2 + sqrt(1088))))*4.\nAnswer: 640*sqrt(17) + 139384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -116, -233, -350, -467, -584?\n\"Answer: -117*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 8.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344869\/75699 - -2\/8411. Let w be (2\/(-3))\/(17\/13770). Find the common denominator of 4\/(-6) - (-2853)\/w and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(320) + 5 + sqrt(320))*-4*2 - (sqrt(405)\/sqrt(36))\/(sqrt(441)*2)*3)**2.\nAnswer: 60*sqrt(5)\/7 + 1254445\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12316351 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**6*h*h*h*h)\/(h*h**5))**(-2\/107) assuming h is positive.\nAnswer: h**(-12\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340 + -329. Suppose 16 = -4*g + b*n - 7*n, -3*g + 2*n = 8. Solve -3*l + 6*l = g, -3*l = -p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 7:34 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19155*v - 38157*v - 20 + 19138*v)*(-2*v - 2*v + 0*v).\nAnswer: -544*v**2 + 80*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 17 + 23 + 72*x**2.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - 3806.\nAnswer: -3829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, e: 1, y: 1}. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + h + 15. Suppose -150 = -4*o - 3*u - 42, h*o - 135 = -2*u. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42584431 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let r(c) be the second derivative of -100*c + 0 - 13\/6*c**3 + 0*c**2. What is a(r(p))?\nAnswer: -169*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**2 - 13071*l - 10637226 = 0. What is l?\nAnswer: -3274, -1083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 144 - 69 - 75 + 119*u as y + z*u and give z.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -181, -266, -353, -442, -533, -626?\n\"Answer: -m**2 - 80*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*a + 4*q, -8*a - q = -4*a - 98. Solve 5*i - a = -0*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38510 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 10. Let n be g(6). Suppose -l - 4 = -4*f, -2*f + 4*f + n = 2*l. Let t(o) = -f*o**2 + 3 - 3 - o**2. Let a(d) = 2*d. Give t(a(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 531 and 245675292?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 298*z**2\/3 - 295*z\/3 - 198.\nAnswer: -(z - 297)*(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26556 and 13788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 3210?\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, r: 3, e: 2, b: 4, l: 2, w: 1}. Give prob of picking 1 j, 1 b, and 1 r.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -44. Let k = -10 + 22. Calculate the remainder when k is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*sqrt(1377) - (sqrt(2448) + sqrt(2448) + 2 - sqrt(17) - -1*(sqrt(17) - (sqrt(17) + sqrt(34)\/sqrt(2)))))**2.\nAnswer: -776*sqrt(17) + 639816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13576561 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 392.8 - 327.68. What is s rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 10 + 4 + 6.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2655, -5302, -7947, -10590, -13231, -15870, -18507?\n\"Answer: r**2 - 2650*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3078 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 904874*d*n**2 - 2*d - 2*n**2 + 2898943 wrt n?\nAnswer: 1809748*d*n - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10 - ((9 - 6) + 6 + -1). Solve -2 = 2*g, 4*a + f*g - 14 + 16 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**4*p**(-1\/11)\/p)**(-21)\/(p**(-6\/11)*p\/(p*p\/p**(1\/8))*p*p**(2\/23)\/((p*p**3*p)\/p)) assuming p is positive.\nAnswer: p**(-114877\/2024)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 1805 - 1789. Factor 2*f + 2\/3*f**y - 8\/3.\nAnswer: 2*(f - 1)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:31 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3876.999991405 - -3877. What is m rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 19*c - 54. Let p(a) = a**2 - a - 2. Let t(d) = 6*p(d) - x(d). Is 3 a factor of t(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 12:03 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-988 - 51*f + 988)*(-3 + 3 + 2) + f - 3*f - f)*(2*f**3 - 7*f**3 + f**3) to j + l*f**4 + w*f**3 + c*f + y*f**2 and give l.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 581?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -89.7. Let d = u + -3.6. Which is the second smallest value? (a) 8 (b) 3\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00037143 to five dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*w - 1585 = 0, k - 634 = -k + 5*w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(121)\/sqrt(176) + 2 - ((sqrt(121) + 1*sqrt(121))*-2)\/((sqrt(33)*-2)\/sqrt(3)).\nAnswer: -7*sqrt(11)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 11 + 2*((-618)\/(-30) - 248\/155)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -5, -412, -2\/23, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44785, -89568, -134351, -179134, -223917?\n\"Answer: -44783*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/196*-12)\/(6\/21)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 980050.1 millimeters to micrometers.\nAnswer: 980050100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2256 = 94*a + 6110 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(9\/(-2) - -3). Let w be (t\/6)\/(2\/12). Solve -128\/7*i**w - 96\/7*i**2 - 24\/7*i - 2\/7 = 0 for i.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 305*g - 801*g - 15*g**3 + 16*g**3 + (-4 + 7 - 2)*(-4 - 6*g**3 + 3 + 3*g**3) as o*g + s*g**2 + q*g**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2871324 and -23\/24.\nAnswer: 5742648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntc when three letters picked without replacement from {c: 1, m: 1, n: 2, t: 3, z: 5, e: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n - 3. Let m(t) = 11*t + 7. Let r(p) = -5*b(p) - 2*m(p). Let s be r(1). Suppose -3*h - 468 = -4*d - 0*h, d - s*h - 104 = 0. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 4*w**2 + 3*w + 1. Let v be p(-2). Let x(n) be the third derivative of n**6\/120 + n**5\/15 - 5*n**4\/24 - n**3 - n**2. Calculate x(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -763692 divided by 138?\nAnswer: -5534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2745777*n**6 + 13*n**2 + 18*n - 1446.\nAnswer: 329493240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-40) - (-8)\/(-16)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**4 - 585*p**3 + 60*p**2 + 7100*p + 9360 = 0 for p.\nAnswer: -117, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 263*r**3 + 7*r - 58*r**3 - r**4 + 2*r**2 + 12 - 18*r + 7*r to v*r**2 + a + l*r + k*r**3 + t*r**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-56))\/((-268)\/(-469))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -35. Suppose -2*q + 4*q - i = 0. Suppose 8*v - q = 6*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 425761*s + 58615 with respect to s.\nAnswer: 425761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7416 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - (120 + -271)) + 73 + 1\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22032 and 47736?\nAnswer: 286416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen sixteenths of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 364\/5*c + 8\/5*c**3 - 122\/5 + 494\/5*c**2 = 0.\nAnswer: -61, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 8:19 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -103869 - -14?\nAnswer: -103855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 38929209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.170402 or 27\/4?\nAnswer: 0.170402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 16 = 56. Let d = 13 - q. Solve -2*y = -d*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162756.9258 rounded to the nearest ten?\nAnswer: -162760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -309, -310, -311?\n\"Answer: -k - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6976 divided by 2\nAnswer: 3488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -c - 18. Let z(u) = -u**3 - 3*u**2 - 2*u - 2. Let p be z(-3). Find the third derivative of -2*q**c + 5*q**2 + q**p + q**4 - q**4 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*f + 14. Let n be f\/(-6)*(-6)\/(-4). Which is bigger: n or 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.62347976 to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -3. Suppose -u = -5*g + 3. Let k be (-2)\/3*(-6)\/(-14). Which is the closest to 0.1? (a) 4 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*q**2 + 13 + 3 - 16 to the form u*q**2 + p + s*q and give u.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*j - 4*j - 5 = 0, 0 = -n + 2*j + 8. Let c(p) = 23*p**2 + 14*p**2 - 17*p**n. Let s(k) = -k. What is s(c(q))?\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -3 - (-3007 - (-3 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*a + 4*a - 1616, 3*a - 2430 = -3*f. Let w = a - 555. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219.215 + 220. Let m = 0.025 - x. Let f = m + 1.46. Which is smaller: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65696 is divided by 1203?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(-154)*(-218)\/(-20). Let g be ((-4)\/42)\/((-5)\/(-3)). Let r = g + q. Which is the biggest value? (a) -2 (b) r (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -68 (b) 5 (c) -2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i - 87 + 146 = 455 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 10 = -h - h, 5*w - 20 = -4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/7 and -6356\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -93*b - 40. Let t(y) = -44*y - 21. Calculate 6*i(d) - 11*t(d).\nAnswer: -74*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:46 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let z(h) = 15*h - 52. What is z(f(r))?\nAnswer: 15*r - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:39 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7486790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -154*l + 151*l, 0 = -3*k - 4*l + 100. Solve k*p = -27*p + 63 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 5?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -5) + -5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35377?\nAnswer: 17, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u - 91 + 4 - 86 + 173.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18532422 and -35\/216.\nAnswer: 74129688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of -1*(-11)\/((-11)\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/11)*n\/(n\/n**(-11)))**(-36))**(1\/4))**(3\/5) assuming n is positive.\nAnswer: n**(3213\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1203609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(187)*-6)\/(-1*-2*sqrt(275)).\nAnswer: 18*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1235 = -2*k - 3*k. Let u = k - 68. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -61911 (b) 0.4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50706, -202790, -456262, -811122, -1267370, -1825006?\nAnswer: -2484030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 415995201 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45092051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from ciwxumwwwwwmucmmw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t. Let o(g) = -4 + 2*g + 4. Determine o(v(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 18*n = -3*c - 25, 0 = -6*c - 2*n - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, b: 3, d: 6}. What is prob of sequence blbd?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 65. Let i be 2 + (0 + -1 - -1). What is the closest to -2\/3 in -2, u, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110201202 (base 3) to base 2.\nAnswer: -10010001000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2579, -7069, -14545, -25007, -38455?\nAnswer: -54889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1917*p - 47705 = -6384 + 50695 for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22454614 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83074.\nAnswer: 2, 73, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 17*a**2 - 20*a + 118. Give s(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvy. What is prob of picking 1 v and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1703097, -1703304, -1703511, -1703718?\nAnswer: -1703925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nff when three letters picked without replacement from {f: 3, p: 1, n: 1, w: 1, o: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/3*i**2 + 0 + 2\/3*i**4 - 2\/3*i**3 + 2\/3*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 49*a**2 + 571*a - 242. Calculate d(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1048608, -1048598, -1048588?\n\"Answer: 10*o - 1048618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + sqrt(5)) + sqrt(20)\/sqrt(4) + 1.\nAnswer: -2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.02, 3, -44?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n**2 + 4. Let y(t) = -t + 7. What is the remainder when m(-4) is divided by y(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 11*o**2 - 6*o - 4. Let w(z) = 12*z**2 - z - 3*z**3 - 1 + 5 + 7*z. Suppose -9 = -4*l + 7*l. Let u(f) = l*w(f) - 4*p(f). What is u(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 259*n + 255*n + 49, -5*m + 69 = 4*n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - -1. Suppose -2*m - 2*a - 6 = -0*m, 4*m - o = 3*a. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 4*u, 14 = -2*u + 7*u - m. Which is the nearest to 0? (a) -12 (b) 0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o - 2 = 0. Suppose 12 + 130 = -o*k. Let n = k + 121. What is the greatest common divisor of n and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22612 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 10:29 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 24*n**2 + 2. Let c(w) = 6*w**2 - 2*w - 2. Let p be c(-1). Let l be f(p). Solve -1\/8 - 1\/8*j**3 + 1\/8*j**l + 1\/8*j = 0 for j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*m - s, 3*s - 1 = 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112304773 to the power of 1\/2, to the nearest integer?\nAnswer: 10597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**6\/3 - y**3\/3 + 4. Find the third derivative of f(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-24)\/11 - (-12)\/66).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**6\/240 - 13*b**5\/60 + 27*b**4\/16 + 42*b**3 + 3298*b**2. Find w such that t(w) = 0.\nAnswer: -3, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + r - 458 = 2*k, -3*k - 660 = -3*r. Let t = 330 + k. Suppose -n = -424 + t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Suppose m*u = -u. Let h = 12 - -8. Solve u = 4*g - 0 - h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-12)\/(-3) - 54. Let l be 2\/4*v\/(-39). Let j = -937\/1365 + l. Is 1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 1. Let l(a) = -2*a**2 - 5*a + 9. Calculate l(o) - 2*t(o).\nAnswer: 2*o**2 - 5*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 + y - 1. Let g be o(-2). Solve 4*h - 3 = g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02553 - 1.41947. What is o rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 18 + -2)\/(6\/(-12)*6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 602*w - 13167. Give i(22).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-50)*(33\/(-18) - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8927 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.41823mg?\nAnswer: 8418.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**6)**28\/((f*f*f*f\/f**4*f)\/(f\/f**(2\/81))))**(-1\/7) assuming f is positive.\nAnswer: f**(-15874\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**3 - x**2 - 2*x - 11. Let p be s(-3). Let w = 153 - p. Solve 0 = 2*m - 8, -4 + 20 = 4*c + w*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2926*g**4 - 1223300*g**3 - 4942424*g**2 - 380848*g + 13248 = 0 for g.\nAnswer: -414, -4, -2\/19, 2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1176*g**2*s + 148*g**2 + 4 wrt s?\nAnswer: -1176*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4*x - 11. Let l be y(-11). Let z(d) = d**2 - d + 2. Let b = 8 + -4. Let p be z(b). What is the greatest common divisor of p and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 3*p**4 - p**3\/3 + p**2 - p + 1. Let g be ((-26)\/6*3)\/(-1) - 3. Suppose 3*k + 11 = -h, -h + 11*k = g*k - 5. Determine n(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194797 is divided by 84?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p - 9 = 0. Suppose 413 = -4*l - 387. Let h = 1003\/5 + l. What is the second biggest value in h, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/17 and -32\/625?\nAnswer: 10625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 4*x**2 - 7*x - 3. Suppose -4*l - 10 - 42 = 0. Let z = l + 8. Is p(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3) - ((-1)\/(-3))\/1. Suppose -5*x + 3*b = -3, 2*b - 8 = -0*b. Let m(a) = 5*a**3 - 3*a**x - 7 + a - 3*a**3. Calculate m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24264*b + 4025*b + 4023*b + 4127*b + 4031*b + 4030*b + 4029*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33275\/314 greater than or equal to 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 15*w**2 - w - 9. Let s(f) = 4*f**3 + 14*f**2 + 2*f + 9. Let a(j) = -5*s(j) - 6*z(j). Let n be 10 + 4\/8*-2. Is 15 a factor of a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3612 - 1429. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736 divided by -434?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2516 - 45275\/18. Let l = s - 1\/18. What is the nearest to 0 in 2\/15, 1\/6, l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.4, 21, -1\/11, 37498 in descending order.\nAnswer: 37498, 21, 0.4, 1\/5, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -20.2. Let t = p - -50. Round t to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = 3*d, -4*d + a = -d - 18. Let t = -4 + d. Factor -2*i**5 - t*i + 3*i**3 - i**3 + 2*i**3 + 0*i**3.\nAnswer: -2*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6*b + 2)*(3*b + 2*b - 2*b) to the form i*b + m*b**2 + g and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1)\/(-9 + 8). Let h(u) = -3*u**3 - u**2 + 2 + 3 - 3*u**l + 5*u**3. Suppose -12 = 5*z + 4*p, 3*z + p - 1 = -4. What is h(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 10*w - 44863 = 0. Let h = w - 3050. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101549*j**2 + 4238*j - 4238*j - 49855*j**2.\nAnswer: -151404*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -58. Let u be (-2)\/(-6) - (-1008)\/w. Let j = u + 43. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) 0.1 (c) 653 (d) -2 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 24 = -75. Suppose -3*g + p = -v, -4*p = -2*g + 11 + 17. Let x(r) = r**2 - r + 2. Let m be x(0). Put 12, g, 3, m in descending order.\nAnswer: 12, g, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10098*g + 0*g**3 + 40390*g - 10100*g - 10094*g + g**3 - 10098*g.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 39*g = 54*g - 686 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/21))**(-7\/3) assuming g is positive.\nAnswer: g**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30036 = 3*b + 5*p, -4*b = -2*b + 5*p - 20029. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*z**2 + 94*z**2 + 42*z - 45*z.\nAnswer: 10*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-12) + (-7)\/(-6). Suppose 2*w + l = -3*i, 18 = 2*w - 5*w + i. Let c = -4 - w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.319 less than -946214?\nAnswer: -946214.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 479. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588996 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266740 (base 8) to base 10.\nAnswer: -93664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(3*sqrt(200)))\/(sqrt(45) - sqrt(225)\/sqrt(5) - 3*sqrt(20)).\nAnswer: -sqrt(2)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 2, i: 10, g: 1}. Give prob of picking 4 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 + -154. Calculate the common denominator of 79\/18 and (-4)\/(-10) - y*(-67)\/150.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 116*m + 2336\/5.\nAnswer: -(m - 584)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 101959*l - 1631348. Let m be r(16). Let j = 17 - 6. Let x = j + -7. Sort m, x, -5, 3 in increasing order.\nAnswer: -5, m, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**4 - 4*b**3 + 2*b**2 + 51*b.\nAnswer: 144*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126411 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 1 = 0, 11 = -5*c - 4*l - 13. Let v(k) = 2*k**2 + 1 + 2*k - 11 + 5. Is 5 a factor of v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 5. Let v be w(0). Suppose i - 35 - 5 = 5*s, -4*i + 160 = -5*s. Suppose -v*k = -k + i. Is k greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, h: 1, g: 1, v: 1}. What is prob of sequence pv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 2\/11, -3, 16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1157527?\nAnswer: 4\/1157527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*s = -10*g + 24, 4*s - 24 = -4*g. Suppose -z + g*z + 102 = 0. Let v = -18 - z. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r - 15, 23 = -s + 3*r. Suppose -3*p = 2*h - 259, -h - 81 = -p + h. Let x = s + p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 38. Determine f(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-8 - (-11 - -4)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304\/4765 or 0?\nAnswer: 304\/4765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 6*c**2 + 2*c - 5. Let s(m) be the second derivative of m**5\/10 + 7*m**4\/12 - m**3\/3 + 5*m**2\/2 + 932*m. Give 7*b(a) + 6*s(a).\nAnswer: -2*a**3 + 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 57*g**2 - 29*g + 10. What is the tens digit of f(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -1390*m**2. Let l(f) = 1863*f**2. Calculate n(l(z)).\nAnswer: -4824368910*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*i, -2*i = 8*y - 3*y. Solve 2*g = -y*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from wxwwkwwbxwkw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 17*s**2 - s + 1. Let u be c(0). Which is greater: u or 1\/412?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144940 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83 + -74 + (0 - (2 - 0)) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -91. Solve 3 = -5*v - o*f, -v + 3 = -4*f - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 614240.\nAnswer: -3\/122848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-2)*(-8)\/3. Let g(h) = -h**2 - 7*h + 11. Let n be g(-8). Suppose 0 = -d - n*d + x. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqtftqqf. Give prob of picking 1 f and 1 t.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.82 + -21. Let w = 259 - 259.1744. Let d = r - w. What is d rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 83*f + 1653. Determine m(-72).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, s: 7, c: 4}. Give prob of picking 1 s and 1 e.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 u when four letters picked without replacement from {d: 2, u: 10, q: 3}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6595 + 6595 + 19*v + (3 - 4 + 0)*(-v + v + v) + v - 4*v - 4*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = -3*x, 0 = -5*x - 0*x + 25. Let d(u) be the second derivative of u**4\/12 - u**3\/3 - 5*u**2\/2 - 69*u - 1. What are the prime factors of d(f)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**3 - 3*t**3 + 0*t**3)*(3*t - 4*t + 3*t)*(0 + 1 - 4) + 42*t**3 - 42*t**3 - 10*t**4 as h + v*t**2 + w*t + z*t**4 + f*t**3 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 15*f - 12. Suppose 9 = -3*y + 3*g, -33 = -0*y + 4*y + 3*g. Let r be u(y). Let d(l) = r*l - 21 + 21. Let p(v) = 3*v. Determine d(p(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7419?\nAnswer: 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.3197257 rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:15 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + (-2082)\/48 + 31. Let k = 0 + -2. Let q(p) = p**3 + 3*p**2 + 2*p. Let s be q(k). Which is the smallest value? (a) -1 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-5 - -3 - -24). Let h = 40 + k. Let n(w) = -w + 49. What is the lowest common multiple of n(28) and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/470 + 8576\/705. Let u = 1954 - 11795\/6. What is the common denominator of u and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 - 265 = 47*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c + 951?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/12)\/((-1)\/(-39)). Let i = 35 + g. Suppose -8*v + 5 = -27. What is the least common multiple of i and v?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 7 = 25. Let w be 30\/42*7 + 2\/g. Solve 2*v = -w - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/304 and 55\/1968.\nAnswer: 37392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -723 + 0?\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 44*x + 112. What is the units digit of b(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 69.9984. Round j to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m + 153694 = 152938 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -52\/89, 6, 4, -39 in descending order.\nAnswer: 6, 4, -52\/89, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -393991886, -393991891, -393991896, -393991901?\n\"Answer: -5*s - 393991881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*n**3 + 3246*n**3 + 484*n**3.\nAnswer: 3973*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/12, 6\/5, 31.31?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1426554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*v = 610*v - 181*v - 14060 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/7 - 6798*t**3\/7.\nAnswer: -3*t**3*(t + 2266)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1678774, -3357600, -5036426, -6715252, -8394078?\nAnswer: -10072904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -1. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**3 + 4*m**2 + 3*m - 8. Suppose -16 = 4*v, 5*v = -q - 4*q - 10. Suppose -4*w = -2*x - 10, -3*x + q = 3*w - 10. Is u(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/37)\/u*u)\/(u**28\/u) assuming u is positive.\nAnswer: u**(-998\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 + 0*r**2 + 0*r**2 + (-3*r + 3*r + r)*(-1 - 2*r + 1) + 2*r**2 - 3*r**2 + 2*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 1.3. Which is smaller: y or -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 8:16 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 4680 + 4491 = b, -5*h - 186 = 4*b for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 22. Let c be l(-11). Let w = -56 + 298. Calculate the highest common factor of c and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*m + 500 - 475 = 0, 0 = -2*g - 5*m + 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -40\/1077809?\nAnswer: -40\/1077809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2 + -2 + 32\/(1920\/(-495)) + 12)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - b = 18. Suppose 0 = -u - b, x - 5*u - 16 = -u. Solve 0 = 3*i - 4*n - x, 0 = 3*i + 2*i - 4*n - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 35.1388 and 0.88903934.\nAnswer: 36.02783934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - s**2 + 18 - 46.\nAnswer: -s**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide (157 - 162)\/((-5)\/6878)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7074, -28305, -63688, -113223, -176910, -254749, -346740?\n\"Answer: -7076*o**2 - 3*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684189 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 7. Let l be g(-7). Let x = l - -12. Suppose 0 = -5*i - 19 + 64. Calculate the remainder when x is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 1)*(-325 + 730*x**2 - 732*x**2 - 18) + 2*x**2 - 3*x + 7*x + x**2 as u*x**2 + w*x + p and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*v = 144, 5*s - 3*s - 4*v = 302. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = -4*n + 17, -3*m + 14 = 5*n. Let z(u) = 9*u - 6. Let s(r) = -28*r + 19. Let o(v) = 2*s(v) + 7*z(v). What is the units digit of o(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002212112 - -20210?\nAnswer: -1002121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k - 26. What is j(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.62 + 2.22. Let o = -0.33 - -0.3. Put 0.5, -4\/7, p, o in increasing order.\nAnswer: -4\/7, p, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 + 164 - 336 - 3*l + 4*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 112866969 to the power of 1\/2, to the nearest integer?\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 531 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1079154 divided by 1002\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, -1, 75, 2 in decreasing order.\nAnswer: 75, 2, -1, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 151 + 52 = 21*s, 0 = 3*s - 5*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3781831\/16 or 236363?\nAnswer: 3781831\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by -44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6383, -7342, -8299, -9254, -10207?\nAnswer: -11158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 7:17 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, -5, -2 in ascending order.\nAnswer: -5, -2, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y + 3. Let r be -65 - (-5)\/((-5)\/3). Let i be 2\/12 + r\/(-24). Solve -4*d + y - i = -2*u, -3*u = -d + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/21*220\/(-480)*-56?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 7*v. Let s(l) = 3*l. Let i(m) = 4*g(m) - 9*s(m). Determine i(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26671347 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 f when two letters picked without replacement from {f: 5, z: 1, t: 1, m: 2, l: 1, i: 3}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36270898 and 3028.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1079682465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851968029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -3\/7, 1, -1\/14 in decreasing order.\nAnswer: 1, -1\/14, -3\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1.2, 5, -2\/203 in ascending order.\nAnswer: -4, -2\/203, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180 and 1.1.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10968113, 21936211, 32904297, 43872371?\n\"Answer: -6*j**2 + 10968116*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -354.854 - -355. Let s = j + -0.146. What is the closest to -2\/13 in 3\/7, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 110. Let w be (3\/4)\/((-16)\/k). Let f(t) = -2*t**2 + 1. Let s be f(w). Is s < 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2715591 or -2715593?\nAnswer: -2715591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.743 take away 588226?\nAnswer: -588256.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chqcqqcqqqoqchcqqqq. Give prob of picking 2 h, 1 o, and 1 q.\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -40*5\/(-20) + (30\/2)\/3. Solve -160 + 166 = -3*k - 2*l, -5*l - a = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Let m(y) = 7*y - 3. Suppose 0 = n - 4*a - 8, -4*a - 7 - 1 = 5*n. Suppose 3*z + 6 = -n. Let t(c) = 6*c - 2. Give o*t(v) + z*m(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-9)\/(-279))\/(-3)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**2 + 4*c + 2. Let p be m(-3). Let l = p - -160. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*b - 46, 0 = -j - 4*j - 4*b - 47 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 273323205 + 0?\nAnswer: 273323205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 37462 + 35*v**2 - 37462 + 6*v**2.\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3\/2*t**2 - 2 + 3*t + 0*t**3 - 1\/4*t**4. Let q be o(-2). Solve 5 = q*g + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11420*a**2 - 3*a + 2164 wrt a.\nAnswer: 22840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4339? (a) -5 (b) 3\/8 (c) 2\/9 (d) -321\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-288)\/390 - (-18)\/(-39))*(-21 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - -3*(sqrt(121) - sqrt(121)*4))\/(sqrt(891) + -2*sqrt(891)).\nAnswer: 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 - 139 = -9*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = n + 16 - 18, -5*n = u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5320748 to the nearest integer?\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2\/7*r**2 - 74\/7 + 72\/7*r = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 2 + (62 - 63)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmcnhnnhhnvnncnccvpm. Give prob of picking 1 c and 2 m.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, 0.45, -10\/49, -84.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -30336\nAnswer: 7\/30336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(132)*-1)\/((3*sqrt(84) - sqrt(84))\/sqrt(7)))**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**3\/9 + 20*w**2\/3 - 52*w - 7436\/9 = 0.\nAnswer: -13, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 72*o**2 - 193*o + 428. Calculate k(2).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 15349.\nAnswer: -1\/15349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 14 = 2. Solve b*i + 2 = -4*m, 0 = m - 3*m - 5*i + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (2847\/(-146))\/(-4 - -1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 274488.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-95)\/38 - -14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.262 + 0.462. Suppose -5*s = -4*k - 83, -s + 6*k - 9*k + 28 = 0. What is the second biggest value in s, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-6))\/((-1204)\/(-13416)). Solve -z*d + 242 = -122 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b (base 16) to base 15.\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**4 + 2*i**4 + 0*i**4 + i**4 + 2*i**4 - 4*i**4 + (-2*i**3 + 3*i**3 + i**3)*(23*i - 23*i - 39*i).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35645\/21 - 1700. Let f be 4\/(-14) + 10792309\/1848. Let u = 5842 - f. What is the common denominator of j and u?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1017*l**3 - 3*l**2 + 9*l - 5. Let g be 198\/24*(-4)\/18*-12. Suppose g + 3 = -5*p. Let d be u(p). Round d to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Suppose 4*k + 2*s - 7 = -k, -k - w = 2*s. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:18 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + d + 29. Let s be y(5). Let b(i) = 11 - i + 3*i**2 - s - 2*i**2. What is b(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27887847?\nAnswer: 3, 13, 715073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2659951 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 27*v**6 + 4723*v**4\/24 - 1338*v**2. Find the second derivative of z(t) wrt t.\nAnswer: 19440*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-4) + (-359)\/90. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 39*h**2 - h - 5. Let y(m) = 3*m**3 + 40*m**2 - m - 5. Give -4*f(r) + 3*y(r).\nAnswer: r**3 - 36*r**2 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 725.7233 weeks?\nAnswer: 7315290.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -566, -694, -906, -1202?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20136136858 - 0.3.\nAnswer: 20136136857.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373056280?\nAnswer: 2, 5, 73, 251, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3958.999378 + -3959. What is x rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11767 by -5.\nAnswer: -11767\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6753*v - 883*v + 2000*v.\nAnswer: -5636*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0523 take away 1?\nAnswer: -0.9477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.143816 + -989.1.\nAnswer: -989.243816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1050\/((-4)\/(-246400) - 0). Suppose 6*c = -c + j. Round c to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4128 and 95\/344.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 + 5 - 63 + 4*m + 10 - 5*m + 17*m = 0.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**4 + 13*y**2 - 8*y**2 + 0 + 1 + 2*y - 4*y**4 to x*y**2 + l*y + w*y**4 + g + q*y**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133110 (base 4) in base 11?\nAnswer: 18a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = t - 5*s - 8, -14 = t + 5*s. Let p(j) = 9*j - 7 + 4 - t - 4*j. Let q be p(1). What is the highest common divisor of q and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 (base 7) in base 16?\nAnswer: 12d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(3*(6 - 7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 905*r - 912*r + 21. Solve -r*l - 3*p - 24 = 0, 2*p + 12 = 6 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 112 = 12*g. Solve 5 = 4*v + 3*d - 2, -3*v + 2*d - g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/10728 and -75\/88.\nAnswer: 118008","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1)**2 + -5 + 2*sqrt(7) + sqrt(7) + 0.\nAnswer: 2 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n - 39. Let i be y(-4). Solve 8*z - 6 = i*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20970?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 69 = -15*b. Let u(k) = 11*k + b*k + 7 - 27*k. Does 7 divide u(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c**3 + 323*c**2 + 287*c + 1. What is m(-26)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2309056*z. Let a(i) = -2*i. Determine a(h(d)).\nAnswer: 4618112*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 11) in base 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13851402*d**2 - 24231171*d.\nAnswer: -27702804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*w + 6, -2*c + 3*w = -c - 5. Solve -2*a = -4*v + 4, 2*a = v - c*v - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 3*f)*((6 - 3 + 3)*(0*f + 0*f - 2*f**2) + 2536*f - 2536*f - 47*f**2).\nAnswer: -118*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1810 + 3223. What are the prime factors of f?\nAnswer: 7, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 4*g**2 - 5. Let x be l(-4). Let b(d) = 13*d - 1. Let k(t) = 6*t - 1. Let s(q) = x*k(q) + 2*b(q). Is s(-3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/3762060 and 173\/150.\nAnswer: 18810300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 1\/5122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*f + 41*f + 109954. Suppose -31*l = -f - 38520. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -662 - -662.1. Let y = -6 - -5. Let b = 3 - y. Put t, 1\/5, b in ascending order.\nAnswer: t, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 186\/7*l + 0 + 188\/7*l**2 + 2\/7*l**3.\nAnswer: 2*l*(l + 1)*(l + 93)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -0.12. Let q = 1.7 - 1.2. What is the nearest to p in -0.04, 4, q?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((2\/(-5))\/(70\/(-25))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -88 + 42 + -50?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/420 - 11*v**5\/105 - 121*v**4\/84 + 2*v**2 + 5*v. Factor o(p).\nAnswer: -2*p*(p + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5551132160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q + 20. Let y(a) = -3*a - 11. Let c(v) = -2*v - 10. Let l(i) = q*c(i) + 3*y(i). Suppose 0 = -4*k - 2*k. Give l(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-17)\/12 + 2)*(-78)\/(-364). Which is the nearest to -0.1? (a) t (b) -1\/8 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - o - 1. Let v(a) = 3*a**3 - a**2 - 5*a - 9. Suppose -5*p + 54*z + 55 = 49*z, -p + 2*z = -17. Give p*u(r) - v(r).\nAnswer: 2*r**3 + r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24722 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: Let v(z) = -13*z + 3. Let a(y) = -23*y + 6. Let n(j) = -3*a(j) + 7*v(j). Let c(u) = 969*u - 133. Let k(q) = 3*c(q) + 133*n(q). Let i(s) = -s. Give k(i(r)).\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1664923 is divided by 395?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.98891 and 4.\nAnswer: 3.95564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1741514938 - -1.1.\nAnswer: -1741514936.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24451.\nAnswer: 7, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(3*q + 6 - 29 - 3)*(17 - 733*q - q**4 + 733*q).\nAnswer: -3*q**5 + 26*q**4 + 51*q - 442","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4688 and 56073.\nAnswer: 262870224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -1104?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 4*t + 6. Let v be x(-5). Suppose 2*a = 3*a + 23. Let g = a + 26. Solve -p + v = -7*z + 3*z, -5*p + 22 = -g*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (1*1*sqrt(44))\/(sqrt(20)\/sqrt(5)*-1))*6.\nAnswer: -36 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 16 = -4*u, 5*w = w + 8. Factor 16*g - u*g - 11*g - 2*g**2.\nAnswer: -2*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681436 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**7\/294 - 11*y**6\/42 - 215*y**5\/28 - 9125*y**4\/84 - 2500*y**3\/3 - 25000*y**2\/7 - 391*y. Determine z so that n(z) = 0.\nAnswer: -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-1\/4)*c*c)*c**(-6))**(3\/10)\/(c**3\/(c**7\/c))**(6\/5) assuming c is positive.\nAnswer: c**(51\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 20*p**5 + 3*p**4 + 3*p**3 + 73*p**2 - 3. Let k(h) = -h**5 - h**4 - h**3 + 1. Let a(f) = 3*k(f) + x(f). Find the third derivative of a(n) wrt n.\nAnswer: 1020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a8 (base 11) to base 5\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -18, 96 in descending order.\nAnswer: 96, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -14*t - 21. Let g be y(-4). Suppose 0 = 31*i - g*i. Solve i = -4*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 2\/25 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24880523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q + 1 - 7*q - 20055*q**3 + 20039*q**3.\nAnswer: -16*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447458 and 132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4432\/13 + -4365546\/12805. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 1 = 143 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 1. Let f(x) be the first derivative of -2*x**2 + 2*x + 2950. Calculate -2*d(t) + 3*f(t).\nAnswer: -4*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 256536546 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 13*k**2 - 15*k - 9. Let w be a(-14). Let i(l) = -w*l - 43 + 43. Let s(p) be the second derivative of p**3\/6 - 2*p. Calculate i(s(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 655704 and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*n**2)*(1 - 4 + 2)*(-3*n + 2 - 2)*(44 - 109 + 5)*(5*n + n - 5*n).\nAnswer: 360*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - 2.96. Let o = -65 - -201. Let m = o + -150. Is x at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 42, 2 in descending order.\nAnswer: 42, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97361*i**3 + 192 - 3647 + 97363*i**3 to y*i**3 + k*i + f*i**2 + r and give r.\nAnswer: -3455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 4 + -6 + 6. Suppose -v*s = -3*s - 40. Let i = 33 + -15. What is the remainder when i is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -284, -13, 1 in increasing order.\nAnswer: -284, -13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 67700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.515654 - 3.52. Round x to four dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**3 - 23*v**2 - 3*v + 1. Let u be q(-3). Sort 7, 2, u in decreasing order.\nAnswer: 7, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111 in 0.5, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*k - 2*k**2 + 2*k)*(7*k - 12 + 12).\nAnswer: -14*k**3 - 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464766567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -233333*s**3 - 2*s**2 + 4*s - 3. Let n be v(3). What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 11:33 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 10. Let o be j(-6). Let w(u) = u**2 + 3*u + 3. Give w(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, h: 5}. What is prob of picking 2 h?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 57029.2 or 2?\nAnswer: 57029.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from kklkllkllk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294299*s + 2588534*s - 1294232*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 82565946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 28. Solve -2 = -6*f + r*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vocp when four letters picked without replacement from cipvcpvoiotc.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22752)\/216)\/((2484\/81)\/23).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {v: 1, w: 1, p: 1, f: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 11:52 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 9*z + 2. Let k = 63 - 72. Is n(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111110011000100 - 101?\nAnswer: 101111110010111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 10. Suppose -4*i + 2*s - 10 = 0, -2*i = -3*i + s - 2. Let y(z) = -z**2 - 5*z + 1. Let p be y(i). Let f be h(p). Solve f*l = -l - 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1396 = -18*l + 52*l + 433 - 197 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76\/3 or -24?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*x - 2*x + 5, 2*x = -2*l - 4. List the prime factors of 2 + l\/2*8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**6\/120 - y**5\/10 - y**4\/6 - y**3\/6 - 16*y**2. Let x be 54\/(-10) - 4\/(-10). Calculate t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267 + 31*k**3 - 24*k**3 - 6*k**3)*(0 + 0 + 2).\nAnswer: 2*k**3 + 534","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5368e (base 16) to base 6\nAnswer: 11153410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-45)\/30*2\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykjkjiykiykyyj. What is prob of picking 2 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 5*30\/(-25). Solve -3*n - 6 - 7 = a, -3*n = -h*a - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6680)\/(-2505))\/((-4)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.5 + -31. Let a = 1903 + -1904. What is the second biggest value in -2, 2, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110*8\/(-80) - 25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.1 (c) -57448 (d) -113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -67.66. Let p = -0.66081 - j. Round p to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -41, 2\/9, 1, -5, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51 - 43. Solve -t = 5*o - 23 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169976 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*1\/(-3)*1. Let p be c\/((-6)\/(-4)) + 5. Suppose 12 = r + p*r. What is the remainder when 11 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/2*(-579)\/965. Suppose 2*t = -5*b + 3*b, 0 = 4*t + 2*b - 4. Solve t = -2*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (-3 + (sqrt(320) - ((sqrt(320)*-2 - sqrt(320)) + sqrt(320)))) - ((sqrt(320) + 0 - sqrt(320)) + 1))**2 + 2 + -4*(sqrt(320) + 4*sqrt(320)).\nAnswer: -224*sqrt(5) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28678 + -8707. List the prime factors of c.\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 + 47*d**2 - 26*d + 44. Determine o(23).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -94277, 0.11.\nAnswer: -94277, 0.11, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21949272 to the nearest integer?\nAnswer: 4685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or -1\/4?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023836121 - 76276?\nAnswer: -76275.976163879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 255709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5 - 4 - 3*a + 7*a. Let b = 4 + -6. Let c(r) = -r - 1. Suppose 17 = 3*z - 3*k + 8*k, 8 = -4*z + k. Calculate b*c(t) + z*y(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.78*102389\nAnswer: -182252.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43776 rounded to 2 decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2723487 + 7669688. Let d = 260 - 257. Suppose -f - d*k = -10300009, 0 = f - 2*k + s - 12378629. What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-16) - (-33)\/12. Suppose -c - 3*c + 2*x - 4 = 0, 0 = g*c + x - 2. Solve -3*b - b + 20 = c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 19*k**2 - 4*k - 4. Let i(j) = -18*j**2 + 3*j + 3. Let p(x) = 4*i(x) + 3*v(x). Let c(u) = -u. Let t(y) = 8*y. Let h(q) = -6*c(q) - t(q). Give p(h(m)).\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v + 278. Give a(21).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**7\/21 - 333*g**6\/5 + 249999*g**5\/10 - 249001*g**4\/6 + 4*g - 82. Solve a(f) = 0 for f.\nAnswer: 0, 1, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 3)\/(6\/(-4)). Let 5 + 2 - 3 - o*m**2 + 2*m = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 38*g - 2. Let m(h) = 13*h**3 - 113*h + 6. Give 6*m(n) + 19*z(n).\nAnswer: 2*n**3 + 44*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 23. Suppose -6084 = -2*s + 2*u, -3*s - 2*s - 3*u + 15170 = v. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-20)\/16) + -240 + 242\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 581150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + (-10 - -1) - (3046 + -3129)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97 - (0 + 3 + 6\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188039.5 to the nearest one hundred.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + o)*(-3*o - 2*o + 2*o)*((0 + 7 + 1)*(-1 + 2 - 4) + 21 + 28 + 29) - 2*o**2 - 3*o**2 + 4*o**2.\nAnswer: -163*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19969 is divided by 19955.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 - 4*j**2 - 10*j**3 + 8*j**2 + 115 + 8*j**3 to m + d*j**2 + g*j**3 + i*j and give m.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-162)\/135)\/3)\/(12\/1590).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 7*v**2 + 6*v + 1. Let h be s(6). Let d(j) = j + 1. Let p(i) = 21*i + 18. Let w(c) = h*p(c) - 6*d(c). Is w(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 11*d**4 - 396696*d**3 + 4*d**2 + 396696*d**3 + (-d**2 - 3 + 3)*(-4*d**2 + 3*d**2 - d**2).\nAnswer: -9*d**4 + 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/5 (b) 20 (c) -0.6 (d) 69 (e) -2 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 74038 and 78404.\nAnswer: 2902437676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20719 or 18905?\nAnswer: 18905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - n + 855 = 2*i, 5*i + 5*n = -885. Let p be i\/(-22) + (-22)\/(-121). Let w(j) = 41*j + 11. Is w(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157680940*q**3 - 57451804.\nAnswer: -473042820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 - 185*z**4 - 9623*z**3 - 94483*z**2 + 86688*z + 865332 = 0. What is z?\nAnswer: -86, -13, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2286 = -112*y - 850 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05104*0.2\nAnswer: -0.010208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60751 - 54664.9. Round s to the nearest 10.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1140)\/72 - 1\/6. Let h be (9\/2 - 4)\/((-14)\/y). Find t, given that -h*t**3 + 0*t + 0 - 2\/7*t**4 - 2\/7*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*z - 13167 = -14965 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 3*k - 9, 0*p = -p + 2*k - 1. What is the remainder when 19 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l**3 - 9*l**2 + l + 3. Let o be x(-3). Suppose o = 2*c - 17*c + 270. Let a = -10 - -18. Calculate the least common multiple of a and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 3 + 2)*((0 + 0 - m)*(2*m**2 - m**2 + 2*m**2) - m**3 - m**3 - 3*m**3) to w*m + q + c*m**2 + y*m**3 and give y.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 1\/6*c**4 - 10\/3*c**3 - 1\/2*c**2 + 11*c + 0. Is m(14) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1796230 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.940064 nanograms?\nAnswer: 0.000004940064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.2. Which is the closest to -2\/13? (a) 0.5 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 2*u + 14*u**3 - 8 - 16)*(2*u**2 - 2*u**2 + 2*u**2) + 0*u**4 - u**5 + 0*u**4.\nAnswer: 27*u**5 - 4*u**3 + 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031318 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.5 - 13.4. Let g = -6 - r. What is the closest to g in 1\/5, 3, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1) + -19 + (6 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 962 = -3238. What is the lowest common multiple of 60 and r?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -b + 500, 7*b - 5*b + 638 = 5*q. Calculate the highest common factor of q and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:06 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5)*o)\/(o*o**(-4)))\/(o**(-3\/8)*o**(1\/5)\/o*o) assuming o is positive.\nAnswer: o**(183\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303 - -21032024?\nAnswer: 21031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 23*a**2 - 24*a + 24. Is 10 a factor of r(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72540 divided by -39\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 194 = -5*u + 211, t = 5*u - 93. Let h = t + 85. Let i(b) = -2*b**2 + 14*b + 2. Let c be i(h). Solve 4 - 2 = d - 5*l, -c*l = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/15 - 6\/(-10). Let f be ((4\/8)\/1)\/(9842\/644). Let x = 9\/37 - f. Is x at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 38*q**3 + 28*q**2 + 13*q. Let h(o) = 19*o**3 + 13*o**2 + 6*o. Calculate 13*h(u) - 6*l(u).\nAnswer: 19*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from tzxxbyt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.336 or -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1538 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 6*k**2 + 8. Let c be g(-6). Suppose 5*s + 93 = c*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 10*y**2 - 2*y - 1. Let f be k(-1). Let g(q) = -3*q**2 - 8*q + 21. Let i be g(f). Let d be (i\/3)\/(((-3)\/3)\/90000). Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -111. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 3*j + 3*j)*(5 - 2*j**3 - 5) + j**5 + j**3 - j**3 + (5*j**4 + 3 - 3 - 3*j**4 + j**4 - 2*j**4 + (-3 + 4 + 2)*(1 - 1 - j**4))*(j - 6*j + 19*j).\nAnswer: -25*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -654190 plus -0.81?\nAnswer: -654190.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 1 + 17*f - 3*f to u*f + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.3 - 26. What is g rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 - 5*g + 8. Let b = -3 + -3. Let l be k(b). Let c = 3 - l. Solve c = -q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence comb when four letters picked without replacement from mmwwwmcwbowwmmm.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 498892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.1, 15\/7, -238 in decreasing order.\nAnswer: 15\/7, 0.1, -1.2, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + f - 3. Let c(q) = -q**3 - q**2 - q - 6. Let i(m) = -10 - 1 + 9*m - m**2 - 9. Let v be i(6). Let u be c(v). Determine k(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Let r(p) = -p**3 + 2*p**2 + 3*p - 4. Calculate r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 50*y - 5*s + 148, 2*y - 2*s + 0*s = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 20 = 4*i, -4*i - 32 = -2*y - y. Suppose -j + 11 = -2*x + 1, -y = 4*x. Solve 5*u - 6 = 4*m - j, 4*u + 2 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-28\/9)*i*i\/i**26)\/(i**20*i)**(19\/4) assuming i is positive.\nAnswer: i**(-4307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vlhvllvlhvllb. Give prob of sequence vv.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 20*f**2. Let m = 18 - 18. Suppose m = 3*l - 4 - 11. Let j(v) = -5*v - 4. Let x(o) = 6*o + 5. Let t(n) = l*j(n) + 4*x(n). Calculate t(k(u)).\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -6 (c) -1\/4 (d) -3 (e) 4 (f) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 860\/(-11610)*(-675)\/125.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6213 or 15364?\nAnswer: -6213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 160 = 15*m. Suppose m*k = 25*k - 4080. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -194 - -385\/2. What is the closest to 3\/7 in u, 3\/5, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2810 = l + 2799, -k + 3*k + 34 = 2*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 4*w**2 + 240*w - 4. Let o(a) = 3*a**3 - 21*a**2 - 1200*a + 21. Let m(z) = -21*b(z) - 4*o(z). Find the second derivative of m(t) wrt t.\nAnswer: 54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*v = -19 + 5, -5*k = -v - 70. Suppose 3*m - 1 = 5. Solve -y + m*x + k = y, 25 = 4*y - 3*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 = -4*r, -2*a = -7*a + 10. Solve w**4 + 7\/5*w**r + 0 - 1\/5*w**5 - 2\/5*w - 9\/5*w**3 = 0 for w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Let k(g) = -10*g**3 - g**2 + 1. Let z be k(-1). Let b be 5*(6\/z)\/3. Let m(x) = x. Give b*c(n) + 2*m(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64186 or -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50889 + -114596. Round l to the nearest 1000.\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**2 + 2*u**2 - 5*u**2)*(1812 + 1457 - 7534 - 25097 - 16746 + 5259) to the form p + m*u + h*u**2 and give h.\nAnswer: -81698","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 3*p**2 + 7*p + 4. Let b be u(-5). Let h = b + -13. Solve -h = -3*z - 0*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/140 and -113\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 11 = 14. Suppose -2*p = 11*k - 6*k - 1980, m*k + 5*p - 1980 = 0. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -814, -3394, -7684, -13684, -21394, -30814, -41944?\nAnswer: -54784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476986551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4655 - -1996222.1366\nAnswer: 2000877.1366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72846265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/5 - 735\/98*28\/(-3))\/(-8).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 + 224 = 57*t. What is the highest common divisor of t and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-175)\/21 - -4 - (1 - ((-20)\/5 + 11)). Factor -v*a**2 + 4 + 2\/3*a + 1\/6*a**4 - 1\/6*a**3.\nAnswer: (a - 3)*(a - 2)*(a + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Suppose 4*l - 2*j = -34, -3*l - 2*l - 4*j - 49 = 0. Let v(p) = -5*p. Let b(s) = l*y(s) + 2*v(s). Let a(g) = -3*g - 1. What is a(w) - 5*b(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 2*w**3 + 4470*w**4 - 3*w - 4489*w**4 in the form l*w**2 + o*w**4 + t*w**3 + u*w + g and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b8352 (base 13) to base 15.\nAnswer: 4c88a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 6266*d**3 + 10767049*d**2 - 2980610880*d + 226271462400.\nAnswer: (d - 2973)**2*(d - 160)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 9*p**2 + 7*p - 8. Let f be t(5). Suppose 166 = x + 4*l, -292 = -5*x + f*l + 648. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 5 (c) -1\/4 (d) -3\/7 (e) -33 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y. Let l be (1 + -2 + y)*0. Solve l*j - j = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 169*o**2 - 3*o - 3. Let g(n) = -3*n + 17. Let q be g(6). List the prime factors of m(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.9. Let r = 1 + -1. Let w be r\/1 + -5*4\/(-80). What is the nearest to g in w, 3\/7, -2\/9?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8950\/900 - 38*4\/16) + (-1139)\/(-9)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125bcc (base 13) to base 9.\nAnswer: -742464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98307026 and 568?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237007 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 112. Solve 2 + 2 = -4*v - p*h, 3*v + 4*h = 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 <= -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 486465880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 504364948\/2123 - 237572. Let k = u + 2\/193. Let g be 2 - 32\/14 - 0. Which is the second biggest value? (a) 0.4 (b) g (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -389.12*-1.6\nAnswer: 622.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006984 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32161394773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.104652 years in centuries?\nAnswer: 0.01104652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - (-9 + -9 + 22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlrk when four letters picked without replacement from {r: 3, k: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o - 18. Determine m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k**2 + 3. Let x be (-6)\/24*18*4\/(-6). Let m(d) = -1. Give x*m(i) + c(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 32\/5*v - 16\/15*v**3 + 0*v**2 + 0*v**4 + 5 + 2\/25*v**5. Solve n(a) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67083834 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 265.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2.05 (c) -4 (d) -5 (e) 123\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26290 equal to 26290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26278332 is divided by 839?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6. Let l(z) = -13. Let a(v) = 38. Let c(h) = a(h) + 3*l(h). Calculate 14*c(q) + 2*j(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -56. Let y = a + 5. Suppose s - y = -19. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-y**4 - 2*y**4 + 6*y**4) - 363*y**2 + 9*y**4 + 363*y**2.\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11*(-5 + 6))\/((-1)\/(-2)). Suppose 5*f + 5 = 5*p, -f + n = 5*p + 5. Solve 7*t = p*t + 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230657 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3910.4 and 5.\nAnswer: -19552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101000 + -1011001101110011?\nAnswer: -1011010011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -2)*-1*3. Let m(x) = -4*x - 2. Let i be m(-1). Solve 0 = -i*t - y + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 6)\/3 + 2. Suppose -2*x = p + 6, 8 = 2*p - i*x - x. Suppose -p*o + 4 = 2*o, -j + 4*o = 1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233940208.\nAnswer: 2, 163, 271, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2695275 and 1225125.\nAnswer: 13476375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 1, w: 3, v: 6, d: 1}. Give prob of sequence vv.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 - 9*i**4 - 2 + 0 + 6*i**4 - i in the form a*i**4 + k + t*i**3 + d*i**2 + j*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 71*v**2 - 265*v - 199. Let q be d(67). Solve q*w = 40 - 44 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(264)*-2)\/(sqrt(12) + (sqrt(12) - -2*sqrt(108))))\/((sqrt(2) - sqrt(32))*6 - sqrt(96)\/sqrt(3)).\nAnswer: -2 + sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s - 48 - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -8*i + 136. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -n + 6*n - 9, -o - 5*n = -2. Let l = 9 - o. Solve 0 = l*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21637872 a multiple of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -21. Let a be (120\/(-105))\/(2\/(-7)). Is j + 8\/a + 1360 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607 - 12*i - 8*i - 13*i + 30*i + 184.\nAnswer: -3*i + 791","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 191*v**3 - 7*v**2 + 2*v - 3. Let u(t) = 95*t**3 - 4*t**2 + t - 2. Determine 3*b(j) - 5*u(j).\nAnswer: 98*j**3 - j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 288?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-18))\/c)**(-4\/3)*(c*(c\/(c*c**(-1\/17)*c))\/c)**(-14) assuming c is positive.\nAnswer: c**(-184\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 + 39*r**2 - 224*r = 0. Calculate r.\nAnswer: 0, 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - i = 15, 336*r - 7 = 337*r + i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 219119766*k**2 + 399112325*k?\nAnswer: 438239532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - r**3 + 7*r - 12*r + (-4 - 10 + 5)*(-2*r**3 + 5*r**3 - 2*r**3) as z*r + g*r**2 + j*r**3 + o and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 484057657*r**6 + 10336342*r**2 + 7*r wrt r.\nAnswer: 58086918840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 5 (c) 3\/2 (d) -3\/4534 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25168174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528867247 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*8824048.\nAnswer: -52944288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -462863604 divided by 868\nAnswer: -533253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a - 1. Let q be h(-1). Let o be 24 - (q\/3 - 1). Suppose 2*w + u - o = 0, -2*w - 5*u = -46 + 8. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263887.3 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 123, -2, -157, -342?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108774682 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 18. Suppose 13 = 4*p - v. Suppose 0 = p*d - 25, l + 4*d = 4 + 47. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49065, 97728, 146441, 195204, 244017?\n\"Answer: 25*q**2 + 48588*q + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - 7*-4 - 4\/(-1). Suppose -h*d + 25*d = -5*l - 163490, 0 = 4*d - l - 217998. What is d rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3290 - -32843\/10. Let s = 33 + -36. What is the common denominator of l and ((-104)\/(-12))\/((-5)\/s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**3 + 14*b**2 + 4*b + 29. Suppose 0 = -11*d - 45 - 32. Let n be f(d). Suppose -4*p = -5*p + 2. Solve a - n = -p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 + 34*f**4 - 57 + 2*f**4 - f**4 - 2*f**4 + 2*f**4 + 3 - 3 + f**2 - f**2 - f**4 + (0*f**3 + 3*f**3 - 4*f**3)*(-7*f + 2*f + 3*f) - 3 + 2*f**4 + 3.\nAnswer: 38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 96 = 3*l, -2*l = -0*l + 4. What is the remainder when r is divided by (204\/(-6))\/(-3 + 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 - 8*b**4\/3 - 32*b**3\/3 - 29*b**2\/2 + b + 45. Is d(-30) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**5\/10 - b**4\/12 - 7*b. Find the third derivative of p(z) wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4734885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 15 + -16\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**4 - t**2 + t - 1. Let o(p) = -4 + 0*p**2 + 0 - 4*p**2 + 2*p + p**4. Let j(d) = -o(d) + 4*w(d). Find the second derivative of j(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 + 619. Suppose -3*z + 3*j = -24 - 1293, z + 5*j - b = 0. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)*a*a**(-2\/9)*a**2*(a**(-2\/7)\/a*a)\/a)\/((a\/(a\/(a\/a**0)))**(-39))**13 assuming a is positive.\nAnswer: a**(31972\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 65. Suppose -12*s = -5*s - v. Let k(n) = 4*n + 10 - s + 0*n. Let a(l) = -7*l. What is k(a(w))?\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9))**(1\/2)*((d*d*d**6)\/d*d)**(-3\/10) assuming d is positive.\nAnswer: d**(-113\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-64)\/(-180) - (-4)\/120*-4)*2259 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010222010 - 112?\nAnswer: 1010221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(112)\/sqrt(7))\/(sqrt(968)*2))**2.\nAnswer: 25\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249750 and 208125.\nAnswer: 1248750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (-3 - -3) + (-4)\/2. Let c(u) = 4*u**2 - 24*u + 11. Calculate the remainder when 30 is divided by c(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 36. Let j be ((-6)\/(-9))\/(16\/72). Calculate the greatest common divisor of h and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 5. Suppose -7*x + 60 = 5*x. Let v(p) = -p - 8. Determine x*v(s) + 7*c(s).\nAnswer: 2*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -8, 22, 74, 154, 268?\n\"Answer: u**3 + 2*u**2 + u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = c, -3*c + 6*c - 28 = -4*y. Let k be 3\/(6*c\/8). Solve 4*s - 5*a - 1 + 2 = 0, k = -s + a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -5*l + 3*p, 57 = 2*l - l - 4*p. Let j = l - -443. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1369, -1519, -1669?\n\"Answer: -150*h - 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6425, -12918, -19411, -25904, -32397?\n\"Answer: -6493*q + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -11*n**3\/3 - 3*n**2\/2 + 5*n + 64. What is h(1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1150*1571.49.\nAnswer: -1807213.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 5*q + 5*q + (-1 + 5 - 2)*(0*q + 3*q - 4*q) + 3*q + 0 + 0)*(7 + 0 - 1).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*a**2 + 31.\nAnswer: 152*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7109775.\nAnswer: 3, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -116826 = 14667*w + 2151*w - 4962*w + 7615*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 340, 774, 1382, 2164?\nAnswer: 3120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6210726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*w + 46*w = -5*n - 24, 4*n = 12 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 8*v**2 + 7*v + 5. Let p be b(-7). Let q(c) = 2*c - 2. Let o be q(7). What is the units digit of p\/10 + o\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + (-6 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -64, -38, -2, 44, 100, 166?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154651, 309441, 464231, 619021, 773811, 928601?\nAnswer: 1083391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f592 (base 16) to base 7.\nAnswer: 1043231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38558 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u**1)\/((u\/(((u*(u**(1\/3)\/u)\/u*u)\/u)\/u*u*u))\/(u\/(u*u**(2\/7)*u)))*u**(-4)\/u**(-2)*u**(-4\/7)\/u**(-2\/5) assuming u is positive.\nAnswer: u**(-328\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 647330587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7\/1501617 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/2))**(-6\/23)\/(r**(19\/4)*(r**(-3\/13)*r)\/r) assuming r is positive.\nAnswer: r**(-5873\/1196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1198555?\nAnswer: -1198557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 12.7. Let v = 46 - 47. Which is the third smallest value? (a) v (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3918228 and 1190?\nAnswer: 137137980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(2268) + sqrt(28) + sqrt(308)\/(sqrt(33)\/sqrt(3)))\/(-2*3*sqrt(400)).\nAnswer: -5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/(-7) + -6 + 4\/7. What is the tens digit of 3\/(y\/(-4) - (-775)\/1490)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-3) - 13\/((-130)\/(-62)). What is the third smallest value in -3, k, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s**2 - 5*s**2 + 15*s**2 + (11*s - 2*s - 2*s)*(0*s - 2*s + 3*s)*(6 - 1 - 4) as i + h*s**2 + t*s and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r - 15456 = 63*r. Do r and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -676 + 676. Let o(x) be the second derivative of 0*x**3 - 19*x + 11*x**2 + 11\/10*x**5 + 0*x**4 + v. Differentiate o(j) with respect to j.\nAnswer: 66*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddd. What is prob of sequence ddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 126\/(-24). Suppose 0*y - 27 = j*s - y, y + 33 = -5*s. Is 584\/10 - s\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -79*g - 6*g**2 + 79*g + 4*g**2 + 4*g**2. Let t(w) = 4*w + 13. Give t(y(x)).\nAnswer: 8*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b + 24. Let c(z) = -2028*z + 321. Let d(p) = -c(p) - 6*s(p). Differentiate d(w) with respect to w.\nAnswer: 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 4 - (35 + 18 + -29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x - 8. Suppose -3*v + 4 = 2*z - 43, z + 5*v - 6 = 0. Suppose -5*c - 3*p = 33, 0 = c + 4*c + p + z. What is b(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9022 + -0.4022. What is the closest to -1 in -0.019, -1, s, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, s: 5}. What is prob of picking 4 a?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 70*u**2. Let l(n) = -54*n**2. Let b(a) = 4*l(a) + 3*r(a). Let s(k) = 558*k. Determine b(s(j)).\nAnswer: -1868184*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 60388, -4, 0 in decreasing order.\nAnswer: 60388, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1943, 3, 0 in increasing order.\nAnswer: -1943, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrlj when four letters picked without replacement from wrllrrjjldjwwrrrh?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 13) in base 16?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1477*i - 1944. What are the prime factors of s(3)?\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16278, -32432, -48592, -64758?\nAnswer: -80930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of (-1182)\/14775 + 1740804\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2\/2 - 42*o - 78 = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9137 - 243923*b + 9137 + 243958*b.\nAnswer: 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 927360 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.605889 litres to millilitres.\nAnswer: 8605.889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2 - -5.2195. What is f rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 10*k - 2*k)*(2*k - 3*k + 2*k - 5*k + 3*k + 4*k + (3 - 2 - 3)*(1 + 2*k - 1) + 6*k + 1 - 1 + (1 + 2 - 5)*(-k - k + k)).\nAnswer: -84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/10)\/(i**(-5\/4)\/i)*(i**(-39)*i)\/(i*i**(-5\/4)))**(-34) assuming i is positive.\nAnswer: i**(6086\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**0\/w)\/w)\/w)**(-9)*w**6\/(((w**(4\/11)\/w*w)\/w)\/w)*((((w**8\/w)\/w)\/w)\/(w\/(w*w\/(w\/w**10))))**(-2\/43) assuming w is positive.\nAnswer: w**(16053\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 222 and 11.44.\nAnswer: 233.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 4*k + 18, 0 = 3*k + 9. Suppose 10 + 2 = o + f, 0 = 3*o - 4*f - j. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63566.53 nanograms in milligrams?\nAnswer: 0.06356653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1041 times -0.047?\nAnswer: 0.0048927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*3 - sqrt(147))*-3)**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 762711, 762712, 762713, 762714?\n\"Answer: y + 762710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/12 - (-1)\/(-4). Let f = 9 - t. Let c = -2073 - -2078. Solve f*m - 4*m - 12 = 2*b, -3*m + c = b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 5*k + 7, -5*k - 10 = -4*y. Suppose 6 + y = 2*p. What is the third derivative of 8*q**2 - 17*q**3 + 3*q**p - 2*q**2 wrt q?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 152*y + 1514. Give h(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -372 (base 11) to base 6\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 222\/(-252) + 30\/42. Sort 0.4, 119, -5, j in descending order.\nAnswer: 119, 0.4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6425 is divided by 189?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(4 - (-25)\/(-7)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from iflfflfwffffllf.\nAnswer: 144\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose -4*l = -3*l - h. Suppose l*k - 11 = 4. Solve -13 = 3*a + 5*s - 4, 9 = -k*a + 4*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -125001*u. Let a(t) = 87*t**2. Determine b(a(v)).\nAnswer: -10875087*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 9207802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**3 - 2. Suppose -25 = -5*g + 5*q, 2*g + q = 33 - 23. Let l(s) = -3*s**3 + 2. Calculate g*z(r) + 6*l(r).\nAnswer: -3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 60 = -5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/156*64*2\/(-8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1178\/121 - 305689\/30492. What is the common denominator of q and 75\/56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (7 - 12) + -1 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:09 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 15*f**2 - 19*f + 131. What is the units digit of w(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3501679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 + 7*j**2 + 22*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 1. Let l be w(-4). Suppose -91 = l*x - 8*x - y, 4*x = -4*y + 60. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezre when four letters picked without replacement from erehz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 336 = 2*u, -u - 5*x + 22 + 155 = 0. What is the remainder when u is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3849966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - t - 1. Let z(k) = -39 - 5*k + 40*k**2 + 34 - 34*k**2. What is 5*u(a) - z(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/28 and -2*510\/1584 - (-6)\/9.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 0*x - 20 - 11 - x - 15 as b + y*x and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 469597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 14) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 3699?\nAnswer: 295920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -171690842.816?\nAnswer: 171690845.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 0.3, 0.108?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert ae7 (base 16) to base 4.\nAnswer: 223213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -30*w + 63 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16577*l**3 - 50832*l**3 - 13272*l**3 - 15297*l**3.\nAnswer: -95978*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 66*y**3 - 7*y**2 - 5*y**2 + 14*y**2 + 2 to the form b*y**3 + t + z*y + g*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 342. Solve -17*m + c*m + 6 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5232592 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 40. What is the remainder when 59 is divided by a(-9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41189437\/14 + 2943395. Let j = -1293 + k. Calculate the common denominator of 325\/(-90) + 1 + -2 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11713 - -17372. List the prime factors of d.\nAnswer: 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5bc8 - a?\nAnswer: -5c05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*i = 4*l - 6, 0 = 4*l + 3*i - 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2232*z - 1 + 1954*z + 5 to x*z + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -4, 3, -1160.\nAnswer: -1160, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + w = -3, -4*x - x + 15 = 5*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 1035\/(-10)) + 2\/(-4).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1362*x - 8533*x - 11910 + 11910 to the form s*x + n and give s.\nAnswer: -7171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -62770498225 plus -517?\nAnswer: -62770498742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -11*l**2 - 2*l - 4. Let s(y) = 5*y - 5*y + 2 + 8*y**2 + y - 3*y**2. Calculate 6*d(h) + 13*s(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.155737?\nAnswer: 0.155737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13473 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 1714155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13019 + 13024 - (-13 - (-2 + 2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 4*v = 34, -2505*z + 2506*z - 33 = 4*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*z = 18, -5*z - 253 = 5*x - 243. Solve x*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186.733357+-4.6\nAnswer: 182.133357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -13 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -25, 108 in decreasing order.\nAnswer: 108, -25, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 17*q**2 + 22*q + 13. Suppose a + 6 = 8. Suppose -x = a*m + 3*m - 91, 5*m = -2*x + 92. List the prime factors of t(m).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46977140?\nAnswer: 2, 5, 7, 307, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:58 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6682 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 16 = 11*i - 2*y, i + 10 = 3*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**3 + 16*q**2 - 3*q - 4224. Let a(f) = -16*f**3 - 31*f**2 + 5*f + 8448. Let i(v) = 3*a(v) + 5*c(v). Find the first derivative of i(x) wrt x.\nAnswer: -9*x**2 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = 4*s, -s = -p + 2*s + 16. Suppose -3*o - 97 = 5*u, -u = 4*o + p*u + 126. What are the prime factors of (-1 - o) + 1\/1?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 26301.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v. Let r(d) = 4*d - 6*d + 4*d + 0*d. Calculate b(r(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + -10 + (0 - 6) + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -111 + 110.7. What is the biggest value in -0.1, -39\/8, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + j + 22 = 0, 8827*b - 8832*b = j - 140 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -30*(2 + 3 + 22\/(-4)). Let k(l) be the first derivative of -1 + 9*l**2 + 8*l - z*l**2 - 2. Find the first derivative of k(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*j - 31772 - 38053 = 77*j. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13492.\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-64))\/(-7*(-2)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28842982?\nAnswer: 2, 7, 17, 121189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -122 (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*k = -3*i - 4, 5*k - 3*i - 2 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (159\/106)\/(5\/(3080\/(-14)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 2. Let n(r) = 6*r + 1. What is n(c) - 4*u(c)?\nAnswer: 2*c - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -5, 33, 107, 229?\n\"Answer: 2*x**3 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1439 + 0.133. What is g rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -50. Is 4\/12 - (2014\/(-6) - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 9\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3507, -3506, -3505, -3504, -3503?\nAnswer: -3502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/4 + u**4\/2 - 17*u**3\/2 - 8*u**2 + 153*u\/4 - 45\/2 = 0. Calculate u.\nAnswer: -6, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -53 - 20*z**2 + 7*z**2 + 24*z + 42. Let u(p) = -7*p**2 + 12*p - 5. Let d(t) = -3*j(t) + 5*u(t). Factor d(f).\nAnswer: 4*(f - 2)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 2:00 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30a50 + 1b8?\nAnswer: 30c28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujujujujjjjuuumuuu. Give prob of sequence jm.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086982680 a multiple of 2305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 604, 605, 606?\n\"Answer: o + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 1, v: 2, d: 4, c: 10}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 y when three letters picked without replacement from ylyzyucuzluluuc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 437 = 4*z, 2*r + 11 = 5*z - 541. What is the greatest common factor of z and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 5\/2*g**6 - 25 + 0*g**5 + 0*g**2 + 0*g**4 + 0*g + 16\/3*g**3. Find the third derivative of a(o) wrt o.\nAnswer: 900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-1\/4)*s)*s*s**5*(s**(1\/10)\/s)\/(s*s**(-3\/5)*s) assuming s is positive.\nAnswer: s**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8299 rounded to one dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60, -4, 18, 37 in decreasing order.\nAnswer: 60, 37, 18, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(5\/2)*5)\/((-24)\/(-132)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1306216480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6\/g)\/g*g\/(g\/(g*g**(-9)\/g))*g)\/(g*g**(-15)*(g\/(g\/g**(-19)))\/g) assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 983. Let h(c) = -c. Determine g(h(p)).\nAnswer: -p + 983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5590630*r**2 - r - 5. Let h be p(4). Let n = -51209127 - h. Suppose n = -5*l - 25259038. Round l to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -37*l - 1776. Let a be w(-48). Find z, given that a - 2\/3*z + z**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -365 - -379. What is the remainder when 123 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123.2 - -126.2. Sort 0.3, -0.5, g, -2\/7 in ascending order.\nAnswer: -0.5, -2\/7, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 388 = -5*o, 2*c - 185 = 4*o + 121. Let f = -48 - o. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 190974421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 12:30 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 594283459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*0.1.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v - v - 3*v - v + 3 - 3 + (-v - v + 4*v)*(-4 + 3 - 1) + 35*v + 11*v - 16*v.\nAnswer: 29*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/3 - 130*d**3\/3 + 44*d**2.\nAnswer: -2*d**2*(d - 1)*(d + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361620.\nAnswer: 2, 3, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by 3\nAnswer: 212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*3 + 0 + sqrt(200))**2*-2 + -3 + sqrt(200) + -2 + 1.\nAnswer: -6404 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -39*b + 34. Let r be o(-25). Let l = -805 + r. What is the greatest common factor of 68 and l?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 816093. Let i(y) = -3*y - 40. Give z(i(l)).\nAnswer: -9*l + 815973","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -8 + 21 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2107, 16738, 56447, 133774, 261259, 451442, 716863?\n\"Answer: 2090*t**3 - t**2 + 4*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*((-1*sqrt(75) - sqrt(75)) + 1) + 5*(sqrt(75) - 2*sqrt(75))*3 + 1)**2.\nAnswer: -1470*sqrt(3) + 33124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -9*v - 11. Let x be (1\/v + 1)*(84 + -74). Solve 5*r - 5 = -x*c, -c - 5 = 3*r - 2*c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 2*f - 6. Let p be u(2). Let m be p\/8 + 207\/36. Solve -21 = -m*w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40463.95ns to milliseconds.\nAnswer: 0.04046395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17476718.\nAnswer: 2, 7, 1248337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 475734.822428 and -1191.\nAnswer: 474543.822428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/((-5005)\/(-78))*((-4)\/(-28))\/(6\/10)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (10\/(-6) - -1). Let f = -18 + 24. Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 176*t**2 - 360*t.\nAnswer: 2*t*(t - 90)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12976 by -560.\nAnswer: 811\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 5 - 106 - -7 - (541 - 523)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -773*c**4\/12 + 271*c**2\/2 + 2*c + 34. Differentiate w(n) with respect to n.\nAnswer: -1546*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90375143 divided by -5.\nAnswer: 90375143\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 6*q = -544. Suppose 2*c - 4*a - q = -2*c, 4*c = -2*a + 106. Let r = 102 - c. What are the prime factors of r?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Suppose -m - 1 = -n. Suppose -17 = -q - 5*i, -5*i = -4*q - i - m. Which is the third biggest value? (a) -0.5 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-7)\/(-1) - -9. Solve 0 = -v*r + 3*x - 3, 3*r - 2*x - x = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 6325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2265 by 151.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*v + 14, 0 = 2*n - 5*n - 5*v + 27. Let g = -130 + 193. Let u = g - 54. Which is the nearest to 0? (a) n (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703935.792 microseconds to weeks.\nAnswer: 0.000001163915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17244467*z = 17244305*z + 486 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 22. Suppose -5*m + v = -m. 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 -3*t - 2 = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -330171*m + 20. What is j(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.0631477 to zero dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 1\/27, -15.6, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -243*s. Let b(a) = 2*a + 5 + 2 - 7 + 0*a. Calculate b(n(m)).\nAnswer: -486*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 1\/4518 (c) 4 (d) 0 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 2*x**3 + 5*x**3 + (3*x + 2*x - 4*x)*(11*x**2 + 3*x**2 - x**2))*(2 + 0 - 1).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.026 * -0.3.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 133 = 72 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 2*w**2 - 6*w**2 + (3 - 3 - w)*(1 - 1 + w) - 2*w**2 + 4 - 4 - 4 + 4 + w**2 + w**2 + 2*w**2 + 2*w**2 + 3*w + 3*w - 8*w + 15*w**2.\nAnswer: 16*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-50)*-1*-5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5*z - 16, 0 = -2*s - z + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34\/129 - 2999\/774. Calculate the common denominator of d and -6 - -5 - (-393)\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 52*v**2 + 20577 - 20582 + 2*v**4 + v + 7*v**2 to the form g*v**3 + i + m*v + k*v**4 + u*v**2 and give u.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3173 = 10*c - 3013 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -25, 0.11, 0.05, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 21 = -5*o, 3*i - 32*o + 3 = -29*o for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -25. Let u = 0.21 - 8.21. Let g = u - -8.3. What is the nearest to -0.1 in z, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 + 4*l**2 + 0*l**3 + 7\/10*l**5 + 0*l**4 - 15*l. Differentiate o(v) with respect to v.\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = 37 - 97. Suppose 22*u = -x + 69. Solve d + u*v = -4, 2*v + 3 + 13 = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i - 22*i - 24*i = -1150. Solve -i = -6*f - 91 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(149\/8 + -19)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29511 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115880, 231781, 347684, 463589, 579496, 695405?\nAnswer: 811316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**4 - f**4 + 2*f**4 - f**4 - 4*f + 3*f**4 - 5*f**4 + (-2*f**3 + 0*f**3 + f**3)*(f + 7*f - 2*f).\nAnswer: -8*f**4 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -12440 divided by -20?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from {r: 5, n: 8, e: 4}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 11*m**2 - 3*m - 72. Is y(6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m - q, -35 = -5*m + 4*q + q. Let t = 4 - 4. Suppose t = -3*x - m*x. What is the third smallest value in x, -0.01, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnccsssc. Give prob of picking 1 s and 2 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19705464 divided by 4926366?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4930 + -3170. Does 1761 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -9. Let v be (0 + n + 2)\/((-15)\/45). Solve v*f - 4*j = -3, j = -3*f + f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + x - 2, 3 - 9 = -3*h - 4*x. Let p(r) = r - 8. Let f be p(8). Suppose f = h*w + w. Sort 1\/3, -1, w.\nAnswer: -1, w, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*o + 83, -74 = -4*o - 3*m + 32. Let w be (3 + -2)\/(1 - 0)*o. Let t be (0 - (-8)\/(-2))\/(-2). Solve 5 = y + 3*u, -u = 5*y + t*u - w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*h + 13. Let r = 12 + h. Suppose j - o - 6 = r, -2*o = j + j. Solve -5 - 1 = j*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 684\/180*-1*40\/8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 32. Let i be o(-14). Suppose 40 = 5*k - 5*a, 16 = 2*k - 0*a - a. Let j(z) = -z**2 + 10*z - 11. Let r be j(k). Solve -r = -3*u + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a**2*f**3 + 1273*a**2*f**2*g**2 + 2*a**2*f*g - 2*a*f**3*g**3 - 78*a*f**3*g - a*f**2*g**3 wrt f?\nAnswer: 66*a**2 - 12*a*g**3 - 468*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 33*f**4 + 9*f**2 - 282*f + 21. Let v(q) = 11*q**4 + 3*q**2 - 94*q + 6. Let d(t) = 7*v(t) - 2*x(t). What is the second derivative of d(g) wrt g?\nAnswer: 132*g**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (0 - -13) - 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, -2, 190, 0.3, 69, 1\/133, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -15*b**3\/2 - 5693675*b**2\/2 - 151809730*b + 102471750 = 0.\nAnswer: -379525, -54, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*x**2 + 36777*c*x - 28795*c*z**2 - 72*x**3*z**3 + x**3 + 4 wrt z.\nAnswer: -57590*c*z - 216*x**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3)\/(7\/(21\/(-6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366, 832, 1418, 2118, 2926, 3836, 4842, 5938?\n\"Answer: -k**3 + 66*k**2 + 275*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2541336 divided by 317667\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 8*k + 12. Suppose 0*x = x + 5, -5*t + x + 30 = 0. Suppose -t*g = -0*g - 40. What are the prime factors of r(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 10. Let u(j) = -2 - 3 + 1 + 3. Determine -a(o) - 10*u(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/51)\/(3*-1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48490283?\nAnswer: 43, 53, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3456855?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/193 or 0?\nAnswer: 2\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139755963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1417 - 1207. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2 + 97805*f - 587010 = 0. Calculate f.\nAnswer: -19567, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -678 or -680?\nAnswer: -678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(243) + 2*sqrt(243) - (0 + sqrt(243))*-6)**2*-4.\nAnswer: -78751 + 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4080516, -4080522, -4080540, -4080576, -4080636, -4080726, -4080852, -4081020?\n\"Answer: -b**3 + b - 4080516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**6\/(a*a*a**1))\/(a**(2\/7)\/a)**(4\/17))**(3\/20) assuming a is positive.\nAnswer: a**(1131\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 7. Let p(a) be the second derivative of -7*a**3\/6 - 13*a**2\/2 - 65*a - 2. Give -9*n(c) - 4*p(c).\nAnswer: c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.04 - -5.96. Let v be 11\/2 - 20\/40. Put -4, v, r in ascending order.\nAnswer: -4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27269 - -38679. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 41652 - 161642 = 0. Suppose 0*l + l + 150005 = -5*d, -2*l = -4*d - k. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133289 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 698?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 81.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 31 = -3*r - 3*j, 9 = -4*r + 5*j. Suppose d = 2*f - 3*f + 19, d = -r. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 + z + 10. Let g be c(-5). Suppose -2*q - 2*d - g = -3*q, -4*d = -4*q + 12. Let v(l) = -q + l - 1 + 3*l - 1. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 5. Let n be r(-7). Let q(h) = 0 - h + 3*h**2 + 32*h**3 + 1 - 2*h + 0*h. Is q(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -40\/3 (b) -201 (c) -0.5 (d) -3 (e) 4 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.20391503 to 1 dp.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 4\/8*-2. Suppose m = -2*i + 200 - 54. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let z(x) = x**3 + 4. Let p be z(0). Let c = 46 + -50. What is the third smallest value in s, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6900872 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 + 2*j + 5. Let u(n) = -3*n**2 + 8*n - 7. Let b be u(3). Let h be s(b). Is h not equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 32436.249145 and -830.\nAnswer: 31606.249145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zmzmmmzmmm. What is prob of sequence zz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1 + 3680\/(-256) and -41\/142.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 344, 683, 1022, 1361?\n\"Answer: 339*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxuxoxxuucuvux.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = 3*s - 2, -5*z = -3*s + 3. Suppose -5*k - 4 = -4*n + s, 0 = 5*n - 4*k - 4. Is 1 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -4, -0.3, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243.7579 hours to microseconds.\nAnswer: 877528440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345601807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 6:19 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226 divided by 29372?\nAnswer: 159\/2098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2673)\/3652 - ((-10)\/(-8) + -2). Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 386, 649, 1000, 1469, 2086?\nAnswer: 2881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 577294 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6868 + 170?\nAnswer: -6688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.3214923 to 3 decimal places.\nAnswer: 10.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1787 - -0.0377. What is the closest to 2 in -2, -5\/4, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:22 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7 = -13. Is 2 + t - (-90)\/3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10452 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**6\/180 + n**5\/30 + n**3\/2 + 2*n. Let o(d) be the second derivative of g(d). Factor o(z).\nAnswer: 2*z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -72*y + 3406. Calculate the lowest common multiple of 2458 and k(47).\nAnswer: 27038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22979.31g in kilograms?\nAnswer: 22.97931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3892738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*f - 30, -4*h + 3*f - f - 148 = 0. Is -38 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9329709 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 945762 to the power of 1\/2, to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 9*z**2 + 8*z + 4. Let y be p(-8). Suppose 46 - 14 = y*f. Let l(r) = -r + 18. List the prime factors of l(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(1138 - 105*y - 1138).\nAnswer: -105*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1200, 4903, 11086, 19755, 30916?\nAnswer: 44575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:31 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -1732 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.9859375 to 1 decimal place.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 6*k - k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n + 25. Let c be y(-4). Suppose 72 = -c*z - 353. Let a = 286 + z. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and 5520.\nAnswer: 5520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -5*y + y. Let o be 30\/y*(-18)\/(-12). Let c(r) = -1 - r + 0*r + 3. Give c(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 266*z**3 + 247*z**3 + 0 as b*z**2 + j*z + d*z**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -25. Suppose -2*r + 160 = r + 4*t, -r + 68 = m*t. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49828, 49686, 49544, 49402?\n\"Answer: -142*y + 49970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 84?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 + 1240*c**2 + 15044*c - 1497. Give k(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-24)\/72*-81?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c. Let k(b) = -3*b**2 - 9*b. Let z(y) = y**2 + 2*y. Let g(m) = -m**3 + 7*m**2 + 2. Let n be g(7). Let s(u) = n*k(u) + 9*z(u). Determine v(s(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*n - 52, 2*d + 2*d - 4*n - 48 = 0. Let l be ((-6)\/d)\/((-1)\/(-4)). Let h = -0.026 + -0.374. Put h, l, 1\/4 in descending order.\nAnswer: 1\/4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 6*w + 38. Suppose 4 + 50 = -9*t. Is s(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -156*s - 985. What is the remainder when 426 is divided by m(-7)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 14) to base 10.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) 7\/4 (c) 2 (d) 0.1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 4483356?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2574 divided by -11\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(35)\/sqrt(5) + 3 - (-3*(sqrt(7) - (sqrt(35)\/sqrt(5) - sqrt(7)))**2 + sqrt(7)) - ((-2*sqrt(77)*4)\/sqrt(11))**2*-6.\nAnswer: sqrt(7) + 2712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 2*y - 17. Determine u(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 - 1.999966\nAnswer: 0.900034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -503*s**4\/3 - s + 727. Let q(u) = 2*u. Give q(a(n)).\nAnswer: -4024*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u**3 + 356*u + 774202 - 774202)*(2*u + 2 - 2) to the form d*u**2 + q*u**4 + w*u + r*u**3 + a and give d.\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704652.4 litres in millilitres?\nAnswer: 704652400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = 4*i, -3*t - 3*i = -2*t - 7. Let v be t\/(-18)*(-1)\/2. Let g be (-45)\/(-6)*(-2)\/(-3). What is the closest to -1 in v, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602985 is divided by 100458.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -0.484\nAnswer: 0.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5220000 rounded to the nearest one hundred thousand?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o**4)*(-2*o + 0*o + 2 + o)*(-216 + 499 - 249).\nAnswer: -34*o**5 + 68*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 32 = 4*q, r - 14 = 3*q - 8*q. Suppose u = -a - 18, a = 4*a - 3*u + 30. Let h = r + a. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 217 - 495 + 0*v)*(0 + 0 - v)*(-2 + 7 - 3) to the form i*v + t + y*v**2 and give i.\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2\/3 + 650*g\/3 + 17575 = 0. Calculate g.\nAnswer: -555, -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 58*t + 293. Calculate j(23).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z + 0 + 7\/3*z**3 - 16*z**2 + 1\/10*z**5 + 0*z**4. What is the first derivative of w(x) wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 76184660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -6 - 15 - (-62 - -36 - -15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 63*s = -23*s - 185 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/6 - -3*2. What is the third derivative of k*f**4 + 17*f - 3*f**2 - 17*f wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254308 to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8865130 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 11138154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 53 + 105 - 15*u**2 - 52.\nAnswer: -7*u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.756295 days?\nAnswer: 324543.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83536.\nAnswer: 2, 23, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-2*f - f + f) + 3 - 3 + 2*f - 1 + 59*f - 23*f + 48*f in the form n + g*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.974337 seconds in hours?\nAnswer: 0.0061039825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4072*w + 16*a = 4072*w - 112, 3*w - 4*a - 22 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7986308.6 * 0.3\nAnswer: 2395892.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5420 = a - 15764. Suppose 15299 = 4*y + 5*q + 1518, -3*y - q + a = 0. Let f = -7749 + y. Round f to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/120 + m**4\/24 - m**3\/4 + 2*m**2 + 9*m. Find z, given that a(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -9*n - 253. Let h = -46 - n. Solve -4*y = h*r + 18, r + 4*y - 3 = 6*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24649 is divided by 2575.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 79707.56 - -9.150746?\nAnswer: 79716.710746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162840 and 240?\nAnswer: 325680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1314 + 3?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*u**3 + 2*u**3 + 0*u**3)*(-10*u - 2*u - 2*u) in the form a*u + d*u**4 + m*u**3 + h + k*u**2 and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -5\/4 (b) 7 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -144. Suppose 6*n - q + 295 = x*n, -3*q - 867 = -3*n. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - t - 7 = -12, -3*i = -3*t + 3. What are the prime factors of (-8490)\/(-20) - 10 - i\/4?\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2843117 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose 6*s = s - 4*x - 1, -o*x + 4 = 4*s. Let t(l) = -l**3 + 4*l**2 - 3*l + 1. Calculate t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 141474910 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-144)\/630)\/(10\/(-35)). What is the nearest to 2\/7 in 4, -3, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1858*p**2 + 2*p + 137221 wrt p.\nAnswer: -3716*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336740 and 1192?\nAnswer: 673480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-316)\/(-869))\/((-2)\/(-22))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*t**2 + 22*t**2 + 45*t**3 + 24*t**2 + 4 wrt t.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -k**6\/360 - k**5\/60 - k**4\/24 - k**3 + 2*k**2. Let m(t) be the first derivative of z(t). Factor m(g).\nAnswer: -(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 12*i + 28. Calculate the remainder when 305 is divided by c(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*i + 448*i + 473*i.\nAnswer: -64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 47, 83, 127, 185, 263?\n\"Answer: q**3 - 2*q**2 + 35*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjudujdjdujjud. Give prob of sequence jd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/2, 4, -1\/183?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - 16*o - 4. Let u(c) = 78*c + 1163. Let h be u(-15). Calculate n(h).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4952 - 4921. Solve c*l - 26*l + 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 3:54 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/12)\/(1 + 0). Solve -5*n + n - 16 = q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 44*u + 990. Let s be t(50). Calculate the highest common factor of 552 and s.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p. Let u(d) = 3*d - 61. Give u(a(y)).\nAnswer: 15*y - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4252.\nAnswer: 21260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-144)\/10)\/8*-85 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211031 is divided by 35162.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6231*p**5 + 2*p**4 - 10*p**2 + 11374200*p?\nAnswer: -124620*p**3 + 24*p**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 = -3. Sort z, -8\/11, -2 in ascending order.\nAnswer: z, -2, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 - 171.03. Let c = t - -0.03. Let j(i) = i**2 - 4*i - 5. Let a be j(5). What is the third biggest value in c, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 4, j: 9}. Give prob of sequence vj.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = -2*s + 2*s + 30884. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let l be (-4)\/8*n*1. Put -11, l, -4 in ascending order.\nAnswer: -11, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72757)\/(-155) - (-2)\/(-5). Does 38 divide 3 - (-2 - (-3 + j))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(48\/(-288)). Suppose 0 = -6*u + 2*u - 3*t - 6, -4 = 5*u + 2*t. Put -5, d, u, -2 in increasing order.\nAnswer: -5, -2, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f + 4. Calculate g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -3, 0.4, 3\/143, 0.2?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s**3 + s**2 - 1. Let y be r(-1). Let d = y + 7. Are -2 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z**2 - 2*z - 2. Let m be l(2). Let j = -7091 + 7091.1. Sort 2\/7, j, m, -4 in decreasing order.\nAnswer: m, 2\/7, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22954, -22911, -22840, -22741, -22614?\nAnswer: -22459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2130 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1556892 * 25.\nAnswer: -38922300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxo when four letters picked without replacement from oeexxex.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 339588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 454045 at least -414\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(4\/7)))**49\/(z**(-3\/7)\/z**(2\/11)) assuming z is positive.\nAnswer: z**(2203\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -288, -290, -292, -294, -296, -298?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of u*x**3 - 6*u*x - 87011*u + 38*x**3 + 4*x wrt x?\nAnswer: 3*u*x**2 - 6*u + 114*x**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -11.4. Let g = 22479.8 - 22480. What is the nearest to g in 0.1, 2, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 106\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110124331 (base 5) to base 7.\nAnswer: -4012045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7423 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**2 - 601747*j - 20225226 wrt j.\nAnswer: -12*j - 601747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + i**2 + 0*i**2 - i**3 + 4 - i**2 + 10*i. Let n be x(-8). Calculate the common denominator of -118*(-2 - -3)\/n and 123\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8)\/(2418\/(-248))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 323*h**2 + 25920*h - 26244.\nAnswer: (h - 1)*(h + 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16187*s - 142*s**3 + 16187*s)*(2*s - 3*s**2 - s**2 - 5 + 4).\nAnswer: 568*s**5 - 284*s**4 + 142*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 2204*a + 4416 = 0.\nAnswer: -1104, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 7}. What is prob of sequence kkqq?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3011*q - 1005*q + 277 - 1004*q - 996*q to z*q + h and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 18, 172, 1 in decreasing order.\nAnswer: 172, 18, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -406904*u**4 + 757794*u?\nAnswer: -4882848*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and -12.2822?\nAnswer: 0.982576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:37 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-8))\/((-48)\/(-128)). Suppose 4*p = 3*f - 20, 4*f - 3*p + c*p - 18 = 0. Solve s - 5*z = -14, 3*s + f*z = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 3, e: 2, m: 6, z: 2, v: 1, b: 5}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53380*n - 408 = -53404*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -14\/11, 0.5, -0.07?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j + 2. Let r(v) = 370*v + 13. Determine -6*o(a) + r(a).\nAnswer: 382*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -63*d - 321. Determine u(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5))\/k)\/k**(2\/3)*(k*k**(-2\/5))**(-7\/3)*(k*k*k*k**(-2)\/k*k)**(-2)\/((k\/k**(2\/5))\/k**3) assuming k is positive.\nAnswer: k**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70272 or 70270?\nAnswer: 70272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 3*b - 1. Let v be y(3). Let h be (1614\/(-9))\/v*3. Find the common denominator of -47\/4 and h\/(-28) + 2\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 25878*u**2. Let j(l) = 2*l. Calculate p(j(k)).\nAnswer: 103512*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*n + 144*n = 37*n - 8842 + 23842 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5 - 6\/5*m - 2\/5*m**2.\nAnswer: -2*(m - 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 104 = -2*j. Let q = j + 10. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 5, b: 3, q: 2}. What is prob of sequence ib?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645494 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/3)\/(j**(-2\/19)\/j*j*j)*((((j*j**0)\/j)\/j)\/j*j)**(-36) assuming j is positive.\nAnswer: j**(2020\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355 is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 8*s**2 - 7*s + 3. Let j be o(-7). Let b = 13 - j. 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 the thousands digit of 8317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -88 - (337 - 359).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (24 - 6) - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - 31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/57337 + -614384\/3382883. Let a = s - -1142996\/1239. Let b = a + -908. Calculate the common denominator of 41\/5 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**5\/15 + o**3\/9 - 10. What is r in v(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 - 3*m**2\/2 - m. Let t(u) be the third derivative of 5*u**4\/24 - 13*u**3\/6 + 20*u**2. What is -9*s(l) + 2*t(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.21995 + 0.15825. Let w = 1.36 - o. What is w rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -226 + 337. Let y = c - 54. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -70.64.\nAnswer: -70.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyaaayyyaaaaaa. Give prob of picking 3 y.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 38*c + 10 - 14*c + 9 - 2*c**2. What is the remainder when x(11) is divided by 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + b - 1. Let l be s(3). Let q(h) = 162*h - 114*h + 352*h. Let m be q(l). What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2. Let h(n) be the first derivative of -n**3 + 16. Determine h(f(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774092377.\nAnswer: 774092377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = 2*w. Let n = 3 + w. Suppose 7*t = n*t + 50. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16031 + 6575\nAnswer: -9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1\/9, -4\/5, 1.\nAnswer: -4\/5, -1\/9, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 2*b**2 - 2*b - 2. Let a be i(-2). Suppose a*d + 12 = 5*d. Suppose 32 = d*n + 4*l, 5*l + 68 = 2*n + 2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 14 + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 1. Let s = 3 - w. What is the lowest common multiple of 6 and (20\/16)\/(s\/16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(2\/19)\/m)\/m))**(7\/12))**(-13\/3))**(2\/27) assuming m is positive.\nAnswer: m**(-5005\/9234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10836 - -10843. Solve 3*g - 17 = -h, -2*h + 5*g + p - 17 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 353 + -353. Solve 7*h = 5*u + 9*h - 4, 3*u + 2*h = n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 8 = -2*a - 3*c, -3*a = -2*c - 25. Let y(i) = 45*i**2 - 2*i + 3. Calculate the lowest common multiple of y(1) and a.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238 by -84.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9182 by 309.\nAnswer: -9182\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 21. Let t(d) = -d**3 + 8*d**2 + 4*d - 37. Let j be t(8). Give y(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6633237 and 153103?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:35 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3014, -6033, -9062, -12107, -15174?\nAnswer: -18269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 2)*(-4 + 6 - 1)*(0 + 3 - 1)*(-6 + 5 + 3)*(-2*w + 2 - 2) to the form g*w + p and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**3 - 45*n**2 + 30*n. Let p(z) = -z**3 + 9*z**2 - 6*z. Let y(m) = -11*p(m) - 2*s(m). Factor y(o).\nAnswer: 3*o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3. Let j(v) = -v + 1. Let n(y) = -j(y) + p(y). Let f = -38 - -16. Let c be f\/6 + 12\/(-36). Give n(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2010 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -4*j - 13. Let n = 24 - j. What is the smallest common multiple of 7 and n?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g**3 + 3. Let i(l) = -226*l + 455*l - 229*l + 4 - 5*l**3 + 11*l**3. Suppose -3*x + 2*u = -u - 15, -2*u - 16 = -4*x. Determine x*i(a) - 4*o(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:52 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1105 + -662. Let c = q + -269. List the prime factors of c.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 18*s + 125. Let t be j(-16). Let o = 164 + t. Let z = 2.8 + -0.8. Sort z, o, 0.02.\nAnswer: 0.02, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/129955 and 9\/3619?\nAnswer: 1429505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50257 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0206056926 to six decimal places.\nAnswer: -0.020606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*(1408\/(-18))\/(-32).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1212 + -1211.994911. Let g = 1.325 - 1.33. Let h = g + w. Round h to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1908 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/(-245))\/(45\/35) - (-4)\/(-18). Sort 1\/4, 9, -3, -1\/4, a in decreasing order.\nAnswer: 9, a, 1\/4, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 1165\/3, -89\/4, -0.5 in decreasing order.\nAnswer: 1165\/3, 4\/7, -0.5, -89\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 + 18 = -15*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56.67321 weeks?\nAnswer: 9521.09928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(7\/8)\/u)\/u)\/u**(-3\/8) assuming u is positive.\nAnswer: u**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 72107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -348329*-1.1.\nAnswer: 383161.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 1793535.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1570\/(-628))\/(105\/3486).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1361, 0.2, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 351 and 36699.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.49.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, r: 1, b: 2, o: 1}. Give prob of sequence arab.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8429409809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247*-140.\nAnswer: 34580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g + 6. Let k be 3\/2*80\/30. Give p(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032576 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (510\/(-476))\/((-10)\/20)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638 = -23*z - 9*z - 7*z. Suppose 5*s - a + 1 = 2*s, 0 = -a + 4. Calculate the lowest common multiple of s and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/8 + 15*i**2 - 121*i\/8 = 0. What is i?\nAnswer: -121, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 715.606106 to 1 decimal place.\nAnswer: 715.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8189*n + 41157. Calculate z(5).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1648 * 3\nAnswer: 4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 24. Let f = c - -17. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3594629?\nAnswer: 19, 277, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2705 = -1993. What are the prime factors of l?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**3*v**3 - 9*s**3 + s**2*v**3 + 18*s**2 wrt s?\nAnswer: 12*v**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23535783 by -5.\nAnswer: 23535783\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68026?\nAnswer: 2, 7, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*t + 45*t + 1 - 2)*(3*t - t + 0*t).\nAnswer: -8*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015207 rounded to 7 dps?\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 7:31 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 2, n: 2, d: 3}. What is prob of sequence ua?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 9*u**4\/4 + 17*u**3\/2 + 30*u**2 - 35. Let q(k) be the second derivative of x(k). Differentiate q(h) with respect to h.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3349631 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31240512.\nAnswer: 2, 3, 101, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -16*k + 17*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -1813*x**3\/2 - 1173009*x**2\/2 - 584952*x + 646 = 0.\nAnswer: -646, -1, 2\/1813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -40\/3, 17, -5\/3, -3 in ascending order.\nAnswer: -40\/3, -11, -3, -5\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2653930472?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114457279 to seven dps.\nAnswer: -0.0011446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1917207995 to the power of 1\/2, to the nearest integer?\nAnswer: 43786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43940 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.304863+0.6\nAnswer: -0.704863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 + s + 2. Let a be x(0). Let m(c) = -2 - 3*c**a + 4 - 2. Let z(k) = -12*k**2. Determine z(m(d)).\nAnswer: -108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose 0 = -q + 3 + f. Find the second derivative of 6*d + 5*d**4 - q*d + 7*d wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2632 is divided by 1256?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(2\/(-24)). Suppose -q*d = 7 - 19. Let f(i) = -2*i + 7*i**2 - 2*i + 8 - 2 + d*i - i**3. Calculate f(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -18.11. Let m = 0.31 - w. Which is the nearest to 0? (a) 0 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2755 - 2781. Sort 1, f, -4, -2, 0 in decreasing order.\nAnswer: 1, 0, -2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s - 4 = 0. Let b = -4 - s. Suppose -4*y = -3*o - 81, o + 21 = y - b*o. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93852 and 544104?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*w**3 - 12*w**3 + 1 + 7*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1106)\/(-112) + -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as -85841881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 76 (c) -3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -171, -670, -1497, -2646, -4111, -5886, -7965?\n\"Answer: l**3 - 170*l**2 + 4*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -w + 155, 2*i + 0*i = -4*w + 656. What is the highest common divisor of 15 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-y + 0 + 0)*(-8 + 15 + 12) as f*y + l and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 4:16 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 892918554 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*b**3 - 2 - 29*b + 28*b - 22*b**3 to v*b + n*b**3 + m + y*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18449, 147602, 498167, 1180850, 2306357, 3985394, 6328667?\n\"Answer: 18451*i**3 - 4*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 e when four letters picked without replacement from mmmmememmmemme?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02335 and 12227.\nAnswer: 12226.97665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (16 - 18) + (5 - -4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 3:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + 3*((sqrt(13) - (-2 + sqrt(1573) + sqrt(1573)) - sqrt(13))**2 - 5*sqrt(78)\/sqrt(6)) + -5.\nAnswer: -279*sqrt(13) + 18885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**4 + 6*n**4 + 0*n**4)*(44 - 59 + 159) + n + n**4 - n.\nAnswer: 865*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*o - 72 = 145*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:40 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11022 - 11022. What is the nearest to 81 in -0.4, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50833, 68357, 97563, 138451, 191021, 255273?\nAnswer: 331207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*s - 738 = 0, 0 = q - 107*s + 105*s - 158. What is the greatest common factor of 6060 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18428 - -1\nAnswer: -18427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + -4 + 4 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -68365?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 417\/(-1529)*(40\/15)\/(-8)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*u = -u - 13, 0 = 4*w - 5*u + 11. Let d(n) = -n + 1. Calculate the remainder when 13 is divided by d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-1*3 - (2 + sqrt(98)*-4 - sqrt(98)))**2*1*-1.\nAnswer: -396 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 - 3.4. Let s = -3.6 - x. Let o = -397\/12 - -97\/3. Which is the second smallest value? (a) o (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88.32 + -11.24. Let z = m - 77. Put -4, z, 1 in ascending order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(1\/4)\/q)*q\/(q**(2\/7)\/q))**(1\/16)*((q**5\/q)\/q**(-6))\/(q**(-2\/17)\/(q*q*q*q**(-7)*q)) assuming q is positive.\nAnswer: q**(55857\/7616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118253\/59 or -2003?\nAnswer: -2003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 20, 14*g - 13*g + 20335 = 2*m. Calculate the greatest common factor of 107 and m.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5210, -5213, -5218, -5225, -5234, -5245, -5258?\n\"Answer: -f**2 - 5209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 + 10*i**4 + 2*i**2 - 58 + 43 - 72 - 16*i**4 as b + p*i + q*i**3 + g*i**2 + f*i**4 and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = 7*n + 273 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97b - 9f?\nAnswer: 8dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -5*x**4\/12 - x**3\/2 - x**2 + 6*x. Let u(k) = -k**2 - k. What is r(y) - 6*u(y)?\nAnswer: y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113445 = -7*y + 7311. Let u = 17\/866287 + -236323960193\/15593166. Let w = y - u. Calculate the common denominator of w and -137\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-40)*(-2)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-3 + sqrt(3))**2 - (sqrt(3) + sqrt(192)*4) - (6*(sqrt(243) + 2))**2*6.\nAnswer: -50829 - 7809*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700)*-2 + sqrt(700) + 3 + sqrt(700) + 1 + -4)**2 + 4 + (4 + (sqrt(700) - (sqrt(700) + -3)**2 - sqrt(700)) - sqrt(700)).\nAnswer: -1 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 10*y - 13. What is w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 7:06 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-17 + (-12)\/(-4)). Which is smaller: 16 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 - 71*u**2 - 34*u + 53. Give l(-35).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/14 - (-413)\/59?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -8. Let y be 1 - u - (2 + 0). Suppose 2 = y*s - 40. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13233 + -13236. Let s = 8.5 - 11. Which is the second biggest value? (a) s (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c + 5. Let k = 47 + -47. Suppose -4*p - 6 + 2 = 0. Sort p, c, k in descending order.\nAnswer: k, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14265+0.173\nAnswer: 14265.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43038.48 decades to millennia.\nAnswer: 430.3848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + -8 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.171436936 rounded to five dps?\nAnswer: -0.17144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i**3 + 466*i**2 - 1256*i + 636. Let q(x) = 9*x**3 + 464*x**2 - 1256*x + 635. Let n(y) = -4*q(y) + 3*t(y). Suppose n(c) = 0. What is c?\nAnswer: -79, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 4577610?\nAnswer: -32043270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(84))\/(2*sqrt(12)\/sqrt(4)) - (-1*(sqrt(2268) + sqrt(2268) + (sqrt(2268)*-1 - sqrt(2268))) + sqrt(2268) + sqrt(2268)))**2*-2.\nAnswer: -13454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -64*i - 2. Suppose 10 = -7*n + 2*n. Let t be q(n). Calculate the highest common factor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1593717 is divided by 30646?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4*c - 4*c)*(2 + 0 - 1) + 4*c**2 - 4*c**2 + c**2 + (-c - c**2 + c)*(0 + 5 + 2).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*k - 3*o, 0*k - 12 = 3*k - 2*o. Let t = k - -4. Suppose 3*z - 18 - 81 = t. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*f = -4*h - 1195*f + 29, -5*h = 4*f - 25 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let d(u) = -2*u + 8. Let s(t) = d(t) - 3*o(t). Give s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18246 and 32746 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 6, 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*x)*((3*x**2 - 6*x**2 + x**2)*(0 + 2*x + 0) + 4*x**3 - 4*x**3 - 2*x**3 + (-17 - 76 - 163)*(2*x**3 - 2*x**3 + x**3)).\nAnswer: -524*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1\/2, 2\/5, 0.1 in increasing order.\nAnswer: -23, 0.1, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 367622 or 367596?\nAnswer: 367622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 14*m**3 + 5*m**2 + 14*m - 3. Let q(r) = 3*r**3 + r**2 + r. Give b(u) - 5*q(u).\nAnswer: -u**3 + 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + 122 + 2*a - 3*a + 158 - 60.\nAnswer: -a + 577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*a = -4 + 80, 0 = 5*v - 4*a - 72. What is the least common multiple of 18 and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152748203.\nAnswer: 2297, 66499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f - f + f - 2*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from callaclaaaea. Give prob of picking 1 c and 1 l.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y**2 + 5*y - 20. What is u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82263*b**4*j - 2*b**3*j - b**2 + 6*b*j + 160*j + 4 wrt b?\nAnswer: 1974312*b*j - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 21 + (-3 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 5:49 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*h - h. Suppose 0 = -h*o - 0*o + 254. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.02. Let h = z - 3.02. Let s = -0.97 - -1.47. Which is the smallest value? (a) h (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g**2 + g)*(2 - 2 + 1) + (3 - 4 - 11)*(-40*g**2 + 18*g**2 - 49*g**2).\nAnswer: 851*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/3 + n**3\/3 + 2*n**2 + n. Let o(r) = 3*r**2 + r + 3. Suppose 2*y + y + 3 = -3*i, 2*i = -3*y + 2. Give y*x(v) - 6*o(v).\nAnswer: -2*v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - v**2 + v**2 + (-3 + 1 + 1)*(-51*v**3 + 115*v**3 - 55*v**3).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1541 and 231127.\nAnswer: 15485509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 8. Let n be i(6). Suppose 2*g - 644 = -n*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o - 3. Determine b(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 7:38 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c7 + 2287?\nAnswer: 2381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 42.6.\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -78 and 217752.7108.\nAnswer: 217674.7108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g - 4. Let l(b) = -7*b - 2*b - 4 - 1. Let m(q) = 4*q + 1. Let z be m(1). Let f(p) = z*l(p) - 6*v(p). What is f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*j = 6 - 3, 4*w - 2*j = 22. Suppose -5*l + 23 = w*f - 0*l, -3*f = -3*l + 3. Is f + -2 + 212 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a year in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 40*w**2 - 55*w + 13. Let t(y) = 20*y**2 - 30*y + 7. Let c(h) = 6*l(h) - 11*t(h). Let s(d) = 3*d. Calculate s(c(o)).\nAnswer: 60*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4 + 32. Let c = 16 + s. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(12\/(-2)))\/((-8)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1162, 2362, 3562?\n\"Answer: 1200*l - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131487 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -675358.3 rounded to the nearest 10000?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*((-17)\/(-6)*3 - 7). Let m be ((-3)\/(-2))\/(1\/(-1)). Which is bigger: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/7)*y**(-19\/4))\/(y**(-14)\/(y\/((y**27\/y)\/y))) assuming y is positive.\nAnswer: y**(-405\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 - 10*y - 1. What is the units digit of m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1527614 is divided by 1527614.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**8*r)*r**(-1\/14))\/(r**6\/r*r**4) assuming r is positive.\nAnswer: r**(-239\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00013094 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 31. Let z(h) = -117*h**2. Determine p(z(o)).\nAnswer: 27378*o**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121283205 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3617, -7226, -10837, -14450, -18065, -21682?\n\"Answer: -k**2 - 3606*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 38. Let k = 2 + -3. Let f(p) = -105*p**2 + 629*p + 4. Let c be f(6). What is the nearest to 1 in h, c, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094829993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.98 - -2. Let u be (-3)\/(-15)*-3 + (-2)\/(-5). Which is the third smallest value? (a) w (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 16, 42, 80?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2310613835?\nAnswer: 5, 41, 163, 69149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-13)*(-4 + 66\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**2*t + 376*n**2 + 2*n*t + 22*n - 3*t wrt n.\nAnswer: 14*t + 752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as -2983944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s**4 + 0*s**3 + 0*s - 6 + 1\/5*s**5 - 1\/2*s**2. Find the second derivative of n(w) wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 8. Let z = -8 + 1. What is the units digit of x(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bssbbb. What is prob of sequence sbsb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -38*(1 + -7 + 0). Let b(n) = 21*n + 395. Let c be b(-17). Calculate the greatest common factor of c and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, 19, 248, 743, 1594, 2891?\nAnswer: 4724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547383511?\nAnswer: 109, 1229, 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2 - 4. Suppose 5*g - 7 = -z. Suppose 0 = -4*w - 5*k - g, -2*w - 3*k = -0*w + 3. Calculate the least common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - n + 40 = -3*n, 25 = -5*n. Suppose i = -4*i + f. Let c(b) be the first derivative of -2*b**3\/3 + 3*b**2\/2 - 3*b + 272400. Determine c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5*m + 45, 0 = -8*g + 6*g - 2*m + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 226000 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -2*z + 16, -4*q + 12*z - 9*z - 17 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2784\nAnswer: 11136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8084 + -7508. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 11.3\nAnswer: 4.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3622 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6655*m - 1015*m - 2512*m.\nAnswer: -10182*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155\/4 - 39. Let q = -1.1322 + 6.1322. What is the closest to q in x, -3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -340, -1099, -2566, -4975, -8560?\nAnswer: -13555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 7:00 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(15\/6))\/(-2))\/(3\/(-9))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1810161 (base 10) to base 8.\nAnswer: 6717361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/67160 and -97\/226.\nAnswer: 7589080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129 and 282?\nAnswer: 12126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 4:06 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*q**2 - 2*q**4 - 368\/3 - 200*q - 82\/3*q**3.\nAnswer: -2*(q + 2)**3*(3*q + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1303, 11458, 39059, 92830, 181495?\n\"Answer: 1454*w**3 - w**2 - 20*w - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(-4)*20\/(4\/(-4)). Suppose 2*o = 3*j + 76, -2*o + 2*j + 125 - u = 0. Calculate the highest common factor of o and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-203)\/(-35) - 2) + -4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 123 = -9*u. Let a = u - -73. Calculate the common denominator of 28\/(-22)*a\/(-133) and -93\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*f - 8, -3*f - 54 + 38 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35560 and 76.\nAnswer: 675640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601255 != 4601307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*h + 102 - 34 + 2*h**3 + 23*h**2 + 65*h.\nAnswer: 2*h**3 + 23*h**2 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 768079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 321*j - 23601. Calculate x(-114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494 - 604 - 185*k**3 + 150.\nAnswer: -185*k**3 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12904)\/(-8065)*(-10)\/56.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggugggu. What is prob of picking 4 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - -288. Let u = -21 + 47. Let k = o - u. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/110 and (-5)\/(-55) - 35*(-3)\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -1212?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15083 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45226?\nAnswer: 2, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 59, -128, -317, -418, -341, 4, 707?\n\"Answer: 15*w**3 - 91*w**2 - 19*w + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456151 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277 by 22017.\nAnswer: 277\/22017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.15 (b) 4\/3 (c) 1.9 (d) -65.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -531 (base 13) in base 8?\nAnswer: -1565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l + a = -40, 3*a = -3*l + 108. Let b be 0 + -1 + -1 + l. Let c = b + -17. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 + 8*v + 4. Let c(j) = -7*j**2 - 7*j - 5. Let u(z) = 2*c(z) + 3*r(z). Let o = -6 + -1. Calculate u(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 77*k + 28. What are the prime factors of d(9)?\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111343726.\nAnswer: 2, 13, 139, 30809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 156. Let n be x(-17). Let o = 305 - n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*((-28)\/(-49))\/(6\/7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.92 + -0.68. Let k(l) = 2 - l**3 - 9*l - 6 - 2 + 8 - 7*l**2. Let m be k(-5). Which is the second smallest value? (a) m (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3005974011 to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 11:17 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.3 and 31.\nAnswer: 28.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 107, 235, 411?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 6, -0.5, -4\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 4*a + 17, 3*a + 15 = 5*x - 23. Find the third derivative of -7*q**4 + 6 - 6 + x*q**2 wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*c - 12, 0*c + 20 = -4*c. What is the smallest common multiple of 20 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23010 and 7670?\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 4521043375 + 4521043375 + 3*t - 4*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sshh when four letters picked without replacement from {h: 7, s: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555755 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 1759, 2566?\nAnswer: 3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.88 + -0.08. Let l = s + -1. Let c = l + 0.20000155. What is c rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**2 - 111*f + 147. Let g be j(-29). Solve 2*b - g = -3*a, -7*b + 2*b = -4*a + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**6\/6 + 3*h**4\/4 - 6*h**2 - 35*h. Let q(d) be the first derivative of p(d). What is the second derivative of q(r) wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*l**6*p - 3*l**4*p**3 + 34*l**2*p**3 - 3*p**3 wrt l.\nAnswer: -8280*l**3*p - 72*l*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 + 0 = 13*f. Let i be ((-60)\/(-14))\/(1\/7). What is the greatest common factor of i and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -29, -23, -23, -29, -41, -59, -83?\n\"Answer: -3*o**2 + 15*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34352.47474 rounded to the nearest ten?\nAnswer: 34350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, 3, -2, 0.01?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133 + 110 + (40 - -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6057 - 4264. Suppose -4*c = 3*b + o + 667, -b + 3*c = 820. Round b to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x**4 + 50*x**3 - 4*x + 49558 wrt x?\nAnswer: -12*x**3 + 150*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flnnpko. Give prob of picking 1 n, 1 o, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -24 (b) 6.7 (c) 3\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:12 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 + 59*b**3\/3 - 236*b**2 + 2048*b\/3 + 2816\/3 = 0. Calculate b.\nAnswer: -1, 8, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, -5, 18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (14 - (8 + -20)) + -9?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k. Let p(z) be the third derivative of z**5\/12 + 9*z**2. Calculate u(p(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -43.4. What is i rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/10 + (-2261)\/(-190). What is the units digit of (((-4155)\/(-6))\/(-5))\/(n\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.025 - 34.975. Let b = -34.939 - a. Let p = 0.02 - b. What is p rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.5, 2\/9, -4.\nAnswer: -4, -0.01, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7972*p + 73. Is t(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:09 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63940, 111500, 159060?\nAnswer: 206620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1685\/25 - 3) + (-3)\/(-5). Suppose -50*y - 92 = -592. Calculate the highest common factor of y and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -v - 6, 3*g - 27 = 4*v - 2*g. Let x = 14 + v. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 19*i + 926. Let c be z(-49). Let s(d) = -d**3 - 3*d**2 + 9*d + 11. Determine s(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2 + 622503912*u + 32292593371275312 = 0.\nAnswer: -103750652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/19, -0.5, -1?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 - -5 - (8 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 5, y: 5, l: 5, h: 3}. What is prob of picking 1 q and 1 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 3*v. Suppose 5*b + v = n, 2*b = 5*n + 9 - 1. What are the prime factors of (-5)\/(-1)*(-3)\/b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 6. Let t(w) = 7*w - 30. Let z(g) = 5*r(g) + t(g). Let m(v) = -2*v**2 - 721*v. Determine m(z(p)).\nAnswer: -8*p**2 - 1442*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 382065927 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12218368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 1:07 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(49) + 3*sqrt(49))\/sqrt(7) + (sqrt(252)*-3 + -4 + sqrt(252) - sqrt(252)))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44540520?\nAnswer: 2, 3, 5, 29, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32.4985 + -32.4. Let j = -5 - -4.9. Let f = j + c. What is f rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 - 7*a. Determine q(-6).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108874.500079 + 108875.3. Let f = y - 0.8. What is f rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 513 - 548. Let c = y + 74. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 y, 1 e, and 1 w when four letters picked without replacement from eeeweywwhbw.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-18)\/(-228)*28\/6*(-336)\/(-392)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 6*q - 2*q + 14, -5*y + 15 = -5*q. Suppose 0*i - 4*i = -12. Suppose -i*f = -5*a + 25, -14 - 19 = -4*a + 5*f. Solve -a*t + y - 6 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 - 82*c**2 + 528*c = 0.\nAnswer: 0, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -40*n + 15*n + 13*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -57*z + 83. Let q(n) = 912*n - 1326. Let t(w) = -33*b(w) - 2*q(w). What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7907.706 days?\nAnswer: 189784.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3217 = -3*a + 59, 4*a - h = 4368. Suppose 32*b - 39*b + a = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -700048, -1400136, -2100224, -2800312, -3500400?\n\"Answer: -700088*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Let y(t) = -t**3 + 5*t**2 + 6*t - 2. Let b be y(6). What is the units digit of b\/(-6)*(a + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.365 to 1 decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*c - 2*c - 25, -3*c = 2*i - 25. Is i\/((-40)\/(-5196)) - (-1)\/2 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -34*(92\/(-5) + 8\/(-80)). Calculate the highest common factor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -442 - -445. Solve 0 = b + l*b - 2*f - 20, 5*b - 4*f = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.9 - 133527.7?\nAnswer: -133645.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3303133\/5148 - -8342\/13. Calculate the common denominator of z and 35\/22.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/11 and 6\/92*56\/12.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 2*j + 17. List the prime factors of y(5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*k**2*l**3 - 5*k**2*l**2 + 2*k**2 - 1134*k*l**2 + 4*k + 92*l**3 wrt l?\nAnswer: 198*k**2 + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a - 5. Let u be c(-4). Let d = 59\/2 - u. What is the closest to 1 in 1, d, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*v**6 + 3313*v**4 - 892975*v**2 wrt v?\nAnswer: -5880*v**3 + 79512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 614, -1020, -3648, -7192, -11574, -16716?\n\"Answer: 13*y**3 - 575*y**2 + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1842951383 to the nearest integer?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00238961 rounded to five decimal places?\nAnswer: 0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 5 - -7976 - (36\/27 - 3\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.08 and -0.007.\nAnswer: 0.00756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o**3 - 7*o**2 - 3*o - 18. Let y(a) = -19*a**3 + 11*a**2 + 4*a + 26. Let r(n) = -7*x(n) - 5*y(n). Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1158*s**3 - 2*s**2 - 16*s + 40 wrt s.\nAnswer: 6948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(4\/7)*a)\/(a*a**(-2\/7)*a))\/(a**(-4)*a**4) assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28704 = 4335*j - 118066 - 105713 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 12 + 12)*(0 + 1 + 0)*(-2 - 2 + 1).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddydydddjjjddd. What is prob of sequence ydd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218208.\nAnswer: 2, 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/28, -2\/11, -2\/51, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48069)\/98)\/(-109))\/((-72)\/(-1360)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 14*s + 37. Let m be g(-16). Suppose -10*k + 25 = -m*k. Suppose -f = -3*f - 4*r + 104, -3*r = -k*f + 286. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*c**2 + 185*c**2 - 415*c**2 + 15*c**2.\nAnswer: -925*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 11853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rp when two letters picked without replacement from {r: 3, k: 1, p: 2, c: 1, v: 3, o: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00057397 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38798 - 21002 = -683*i + 8815 - 94835 for i.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 16 = -4*i, 4*v + 12 = 3*i - v. Suppose -4*l - o = -14, i*l - 8 = 2*l - o. Suppose -53 = -l*q + 49. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let b(u) be the third derivative of 0*u + 8*u**2 + 5*u**3 + 0*u**4 + 1\/40*u**5 + 0. Let j(g) be the first derivative of b(g). Give j(f(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 43*w = -16*w - 1913. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**2 - 4*j - 5. Let z(g) = g**2 + g. Let w(k) = p(k) - 3*z(k). Suppose 4*y - t - 384 = -3*t, -480 = -5*y - t. Suppose 22*u = 6*u + y. What is w(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*b + 9*b - 4 = 0, 9 = 3*c + 3*b. Sort 0.4, -1, -1\/3, -3, c in increasing order.\nAnswer: -3, -1, -1\/3, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514 a multiple of 289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxjjpxox. Give prob of picking 1 o and 1 j.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v + 123. Let u be g(-18). Let f(c) = c**3 + 2*c**2 - 2*c. Give f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 218*q - 6 - 57*q - 7.\nAnswer: 161*q + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 58. What is z(-59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634*j - 458*j + 1 - 1.\nAnswer: -1092*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -635 - -635.19. What is the second smallest value in -13, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 38*q + 25. Give d(38).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 829608 a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -534, -556, -622, -756, -982, -1324?\n\"Answer: -4*o**3 + 2*o**2 - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 - (16 - 1 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*n + 2*n**4 - 2*n**3 + 5*n**2 - 165*n + 515*n in the form v + p*n + z*n**2 + o*n**4 + s*n**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = 0, -4*v - 7 = -s - 0*v. Let n = 1 - 1. Suppose -14*c = 11647 - 11661. Solve -5*d - 5*h + s = n, -3*h + 2 = d + c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7177709 * 0.5\nAnswer: -3588854.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685613*n - 5*x = -685615*n - 109, 0 = -5*n - 4*x - 355 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**2 + n**3 + 6*n**2 - 1. Let p be j(3). Suppose 0*k = -k - 4*s + 22, 0 = -k - 5*s + p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + v = -3, 16 - 4 = -4*g - 5*v. Let o be g\/(-4)*4 + 1. What is the third smallest value in o, 1\/10, -1.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p - 720. Let z(n) = n + 35720 - 35720. Calculate l(z(f)).\nAnswer: 2*f - 720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 136, 159, 192, 235, 288, 351?\n\"Answer: 5*j**2 + 8*j + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827849 to the power of 1\/2, to the nearest integer?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -545 + 1139. Solve 2*w + 604 = h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78080000 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -13482 smaller than -13450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2 + 4 + -1*1*sqrt(17))*-1 + -1.\nAnswer: -7 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/(w**(-5)\/w))**(3\/50)*((w**(1\/6)\/w*w)\/(w\/(w**(4\/3)\/w)))**20 assuming w is positive.\nAnswer: w**(-509\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 989 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68322, 136645, 204970, 273297?\nAnswer: 341626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a. Suppose -2 = -2*m - a*m. Let v(h) = -7*h**2 + 2*h - 1. Give v(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 20. Suppose -3*d = 3*q - 12, -2*d + 3*q + m = -8. Let u(a) = 0 - 6 + 5*a - 3*a**3 + d*a**2 + 5*a**3 - a**3. Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -13*o + 9*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 3*u**2 + 4*u**2)*(u**2 - 2 + 2 + (0 - 2 + 0)*(2*u**2 - u**2 + 0*u**2)).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 - 48*n**3 - 324*n**2 - 352*n + 726 = 0. Calculate n.\nAnswer: -11, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -613, -5, 3, 1 in decreasing order.\nAnswer: 3, 1, -5, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 z, and 1 k when three letters picked without replacement from {x: 1, k: 1, f: 6, z: 1, a: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + 5)*2.\nAnswer: 2*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 5*z**2 + 7*z + 6. Let j be h(-6). Suppose j = -3*c + 42 + 27. Solve -o - 3 = 0, 4*b + 1 - c = 2*o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-646)\/(-4)*13992\/(-118932)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 36*a**2 - 10*a + 342. What is k(36)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 222.99999759 + -223. What is n rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 136048, 136069, 136104, 136153, 136216?\n\"Answer: 7*y**2 + 136041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5790 and 4\/8019.\nAnswer: 15476670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u + 5 = 0. Let z be ((-2)\/2)\/(u\/2). Let t be z\/10*9\/(-3). Which is the second biggest value? (a) -0.1 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186772 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*t = 6. Suppose 0 = -4*s - 5*v + 6, 2 = t*s + 5*v. Suppose 4*f = s*i + i + 5, f + 3 = -3*i. Is -2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p - 2. Let r(d) = 28 + 27 - 54 - d + 670*d**2 - 669*d**2. Let a = 4 + -3. What is a*o(v) + 3*r(v)?\nAnswer: 3*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004469 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4953143843505 minus 0.5?\nAnswer: 4953143843504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:31 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 4)*(-6681*q**2 + 6681*q**2 - 8*q**3)*(3*q - 3*q - 2*q) to m*q**4 + g*q**2 + a + p*q**3 + u*q and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61.76 and -0.044.\nAnswer: 2.71744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 441*g**2 + 242*g + 106712. What is x(-441)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 9:43 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*w = 9510, 0 = 24*w - 19*w + 15. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2599 in -4, 1, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371130 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 59\/(3 + (-21)\/6). Let k be (a\/(-4) - -1)*2. Suppose -t - l + 24 = 0, -3*t + 11 = -4*l - k. Calculate the greatest common divisor of t and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16751203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 165, 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880))**2 + sqrt(20) + (sqrt(55) - (sqrt(880) - sqrt(55)) - sqrt(55))\/sqrt(11) + 5.\nAnswer: -sqrt(5) + 2885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3931701, 15726813, 35385333, 62907261, 98292597, 141541341, 192653493?\n\"Answer: 3931704*y**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*a + 24*a. Suppose -8*x + 3*x + 15 = a. Suppose 2*p - 16 = -3*f, -2*p + 9 + 7 = -3*f. Calculate the remainder when p is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7))**(-1\/20)\/(d*d\/(d\/(d\/(d*d**(2\/5))))*d*d*(d\/(d*d**(-1\/5)))\/d))**(-6) assuming d is positive.\nAnswer: d**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/13106 in -0.3, 4, -2\/3, -130?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*p**3 - 58*p**3 - 57*p**3 + (-p + 0 + 0)*(0*p**2 - 4*p**2 + 5*p**2) - p**3 + 0 + 0 to the form u*p + d + m*p**2 + g*p**3 and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26922 + -26826. Solve 42*i - 74*i = y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**10\/7560 - h**6\/360 - h**4\/4 + 5*h. Let r(j) be the third derivative of g(j). Find the second derivative of r(b) wrt b.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 0 + 13 + (1 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 13*c**3 + 7*c**2 + 13*c + 10. Let f(r) be the first derivative of 9*r**4\/4 + 5*r**3\/3 + 9*r**2\/2 + 7*r + 1320. Calculate -5*a(v) + 7*f(v).\nAnswer: -2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4943612, -4943577, -4943448, -4943177, -4942716?\n\"Answer: 8*i**3 - i**2 - 18*i - 4943601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 - k - k**2 - k**2 + 7*k**2.\nAnswer: 7*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 + 0.077.\nAnswer: -2.523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 404 + 274. Suppose -106 - l = -5*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0 (c) 0.8032074 (d) 4\/5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9065541 millilitres in litres?\nAnswer: 0.0009065541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 719496 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 2128 = -9*s. Find w such that 1413 - 445 + 216*w - s*w + 2*w**2 = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 + 83. Let u = j - 3.9. What is the nearest to u in -5, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23032 by 419.\nAnswer: 23032\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 + 290982*n**2 - 581961*n + 290980 = 0?\nAnswer: 1, 290980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 244557 >= 103.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 2*n. Let f(b) = 5*b**2 + 16*b - 6. Let s(r) = -f(r) + 6*i(r). What is s(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - 1 + 2*s**2 + 2*s**2 + (0*s + s - 2*s)*(-2 - 2*s + 2) + s**2 + 0 + 0.\nAnswer: 13*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b - 2*b + 3 + 5*b. Let v(a) = -2*a. Let q be v(3). Determine h(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9607.\nAnswer: 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 4*p + 3*p + 0*p + 0*p - 3*p + (3 + p - 3)*(-4 + 0 + 2) + (1 - 3 + 0)*(2 - 1 + 4)*(0 - 2*p + 0) + 3*p + p - 3*p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 31. Let o(t) = 108*t + 7. Is o(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16145 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 2 - (-1)\/1. Let h(c) = -2*c + 2. Let x be (-2)\/8*-6*-2. Let i(w) = 0 + w + 0*w - 9 + 8. Give o*h(y) + x*i(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1200 and 6816.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -64578279?\nAnswer: 64578278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let c be (-2 - 0) + 2\/(-1). Let y be ((-18)\/15)\/(c\/(-10)). Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 177 - 169 = 0. Let k(l) = 35*l**q - 38*l**2 - 105*l**2. Let t(r) = -r**2. Calculate t(k(f)).\nAnswer: -11664*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) 5 (b) 1\/2 (c) 22\/6027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206907 is divided by 346.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 556*z - 296*z - 301*z. Let b(g) = -3*g**2. What is b(v(q))?\nAnswer: -5043*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 q when four letters picked without replacement from aqabkbbbqbqba?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -8) + (119 - 126).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 - -2)) + (2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41053262 is divided by 25248?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pi when two letters picked without replacement from {i: 1, x: 2, c: 1, y: 1, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 - -84. Let i = -31 - p. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - 5. Suppose 3*j - 2*t = 14, 4*j + 3*t + 2 + 2 = 0. Suppose -a + j = -2. Sort 0, a, u in descending order.\nAnswer: a, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2 - 5*b - 4. Let y be w(-1). What is the tens digit of ((-855)\/20)\/(3\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 422 + 1346 = 0. Suppose -151*g + b*g + 14805 = 0. What are the prime factors of g?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52262852 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 521013.6km to micrometers.\nAnswer: 521013600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.518156 to one dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -50*b + 349. Let m be c(7). Put -4, 3, m, 10 in descending order.\nAnswer: 10, 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 19*b. Let y(g) = -10500*g - 1225. Let s(a) = -181*a - 21. Let n(d) = -175*s(d) + 3*y(d). What is o(n(q))?\nAnswer: 3325*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*8\/20. Let x be (20\/12)\/(1\/3). What is the nearest to -1\/9 in x, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0 + 36 = 0. Let q(s) = -312*s + 157*s + 152*s. Let b(u) = 13*u - 1. Let a(x) = -x + 6. Let r be a(8). Give k*q(w) + r*b(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 119? (a) 2 (b) 1 (c) -0.2 (d) 6497 (e) 5 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-82 - (-20610)\/225)\/((-3)\/(-10))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540180.\nAnswer: 2, 3, 5, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38107081267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -331418.66 to the nearest 100.\nAnswer: -331400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112710 and 210902?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15 + 42 - 9 - 1 + 75*z**2 + 8*z. List the prime factors of w(-4).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2923 - 1?\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/20*((-49060)\/(-924) - 53).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**5\/5 - 376*o**4\/5 - 31124*o**3\/5 - 332336*o**2\/5 - 855168*o\/5 = 0.\nAnswer: -262, -102, -8, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6449*z = 6443*z - 2*b - 262, -32 = z - 2*b for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*s + 8 - 8. Determine g so that 20\/3*g**2 + s + 2\/3*g**5 + 4*g**4 + 8*g**3 + 2*g = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 12*r + 1112000. What is r rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 100*p. Let h(j) = 11*j**2 + 10*j - 5. Let m(s) = -2*s**2 - 2*s + 1. Suppose 18*a - 7*a + 11 = 0. Let w(o) = a*h(o) - 5*m(o). What is q(w(d))?\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14936 is divided by 148.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 219895 and 10?\nAnswer: 439790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 1878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1372094 + 249720251\/182. Let s be (4 - 488\/112)*(-16)\/(-650). Let h = s - j. Find the common denominator of h and -113\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-102)\/(-8) + 6\/(-8). Solve -3*c = c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 + 3 + 4 + h + 0 - h**3 + 3*h. Determine d(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3535\/524?\nAnswer: -3535\/524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4258048 and -1195?\nAnswer: 4256853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/110 and -29\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-186 + 160 + 186)*(4 - 7 - 17)*(-4*p - 5*p**3 + 4*p) in the form i*p**2 + h*p + b + t*p**3 and give t.\nAnswer: 16000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 3*l - q + 3*q, 4*q - 76 = l. Calculate the remainder when 38 is divided by (972\/l)\/(3\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 363, 336, 227, -6, -405, -1012, -1869?\nAnswer: -3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-4)\/(-2))\/(9\/15). Suppose -t*d = 4*q - 156, -4*d = -2*q + 20 + 32. What is the greatest common divisor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:29 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 546.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4 = -4*h, -122*d + 121*d = -5*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 4. Let k be o(10). Let m(u) = 2*u - 4*u + 10*u - 5 + 2*u**2. What is the remainder when m(k) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171013 - 20 - (-4 - -20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/234 and 85\/10426.\nAnswer: 93834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 + 17 + -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, -7, -1305 in descending order.\nAnswer: 1, -3, -5, -7, -1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/180)\/((-16)\/(-96))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 71173 (base 11) to base 12\nAnswer: 50243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 476*p - 953. Is x(36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1447 - -64?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -a5c4a (base 13) to base 9\nAnswer: -504642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5 + 5. Let d be (4\/2)\/((-6)\/9). Let m = 17\/5 + d. What is the closest to h in -3\/8, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 77 + 59 = 0. Let c be (-4)\/a*(-120)\/(-16). Solve -c*t = -h + 8, 0*h - 2 = 2*h - t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4048.61 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 131990000 to the nearest 1000000.\nAnswer: 132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5*s - 20, 0 = -3*s + 18 - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -5)*(10\/(-4))\/(-1). Solve -7 = -m*a - 3*l, a + 2*l = -2*l + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12370429?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -ca (base 15) to base 8\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 131*w**2 - 2 + 60*w**2 + 3 + 7*w. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 2. Let z(u) = -5*u - 11. Let f be ((-15)\/(-2) + -6)\/((-42)\/56). Determine f*z(y) + 11*p(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25064253 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1083, 58, -1\/7, 12 in increasing order.\nAnswer: -1\/7, 3, 12, 58, 1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-4)\/40 - 73\/((-2920)\/240).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162249318.\nAnswer: 2, 3, 7, 11, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r**2 - 11*r. Let n(p) = -p**2 + 4*p. Let j(c) = -b(c) + 2*n(c). Let q(w) = 20*w**2. What is j(q(o))?\nAnswer: 2000*o**4 + 380*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**4\/3 - 28132*g**3\/3 + 123712*g**2\/3 - 157424*g\/3 + 14992 = 0.\nAnswer: 2\/5, 2, 5622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -7)\/(2 + -1). Suppose 0*t = -2*t. Which is the biggest value? (a) y (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 3. Let m be w(7). Let a(k) = -13*k - 5. Let i be a(m). What is the remainder when i + (-1 - -1) + -1 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02105 + 0.0210505914. What is t rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 248 and 2317560.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*j + 4 = -j, 2*j = 2*h - 10. Calculate the lowest common multiple of h and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/384*2\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 3*i + 5*i**2 + 3*i**2 - 4*i + 4*i - 4. What are the prime factors of x(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -14*b + 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 85 = 5*c, -3*j - 3*c = 276 - 9. Let q = -65 - -92. What are the prime factors of (j\/(-2))\/(q\/18)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -9 - (5 - -1 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) 2.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, 1.15, 126, 0.2, 0.5, -0.3?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 6:51 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 - 8360*f**4 - 4491808*f**3 - 129386048*f**2 - 1072617280*f - 1663491200 = 0.\nAnswer: -1030, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964 by 6.\nAnswer: 482\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzb when four letters picked without replacement from {e: 4, z: 4, b: 2, q: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519801783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -174*r**2 - 235*r. Let d(i) = 173*i**2 + 237*i. Let s(w) = 3*d(w) + 4*u(w). What is the second derivative of s(h) wrt h?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0 + 0*m + 8 + m. Let u be p(-6). Find the third derivative of w**4 + u*w**2 + 2*w - 2*w wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2406 - -2406. Let w = 20 + 6. Solve -3*p - 16 = m, a = -m - 5*p - 0*p - w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116*(1705\/(-680) - (-4)\/(-34)). Let f = i - -59075\/194. Is f bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -17. Let g(l) be the third derivative of l**4\/12 + l**3\/3 + 2*l**2. Let h be g(2). What is the greatest common divisor of d and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 2\/1 + 5. Suppose t*u + 3*p + 9 = 7*p, -2*u + 6 = -4*p. Is (-2)\/u - 126\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -146005100106.\nAnswer: -146005100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:56 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11489719?\nAnswer: 23, 59, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/3 (b) -0.5 (c) -0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 720 and 4500.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653604 is divided by 1224.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -1. Let d = 8 + -7.85. Let r = d - 4.15. Which is the closest to t? (a) r (b) -0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3972 - -7812. What is d rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325679 smaller than -325680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**2 + j + 4. Let o be w(3). Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -43, -21, -3, 5, -3, -33, -91, -183?\n\"Answer: -h**3 + 4*h**2 + 17*h - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 305414 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -147 + 147. Solve 16 = 4*u - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6*z**2 - 9*z + 6. Let b(f) = -21*f**2 - 25 + 10*f**2 - 11 + 49 - 17*f. Let k(s) = -3*b(s) + 5*i(s). Factor k(t).\nAnswer: 3*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2\/23 (c) 0.5 (d) -0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2479*k**2. Let d(n) = -22903*n - 22910*n + 45814*n. What is d(l(o))?\nAnswer: -2479*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15531*y**2 - 7017*y**2 - 7867*y**2.\nAnswer: 647*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*1*sqrt(176) + sqrt(176) + 2 + 3)*-6)**2 + 1.\nAnswer: -155520*sqrt(11) + 2085265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -221.515 + -164\nAnswer: -385.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r, -3*k + 0*r = -2*r - 8. Let d be (-54)\/15 - k\/5. Let z be 2*1 - (d + 6). What is the third biggest value in -8, 5, z?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62691.63 kilograms to nanograms.\nAnswer: 62691630000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.33 + -31.4. Let n be 17\/3*(-117)\/(-9). Let k = n + -73. What is the third biggest value in k, 5, u, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-4950)\/(-2970)*(-1)\/1090.\nAnswer: -2\/327","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 183. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101174.2944 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -710, -1430, -2150, -2870, -3590, -4310?\nAnswer: -5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5*u + 30, 5*y - 49*u + 52*u = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3751 - -41209\/11. Let u = -890 - -89889\/101. Let b = -1017\/707 - u. Calculate the common denominator of j and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 228, 368, 508, 648, 788?\n\"Answer: 140*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*u - 7*u. Solve -3*k = -5*j - 16, u*j + 10 = k - 2*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/40 - w**5\/12 - 7*w**4\/72 - w**3\/18 + 6*w**2. What is b in l(b) = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1514487)\/(-27) + ((-360)\/(-81))\/5.\nAnswer: 56093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 2*t**6\/3 - 5*t**2\/2 + 4. Find the second derivative of l(h) wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 872 - 519. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(153) - (sqrt(153) + -3)) + -2*sqrt(153)*1)**2 + -5*-5*(0 + sqrt(2448))*2.\nAnswer: 628 + 552*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/2 and 69\/316370.\nAnswer: 316370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 824578 divided by 412289.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 4. Let t be y(-4). Suppose t = 5*n - 6*n + 5. Let x(g) = g**2 + g + 2. Is 10 a factor of x(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**3 - 4*m**2 - m + 10. Let n(r) = 4*r**3 - 4*r**2 - 2*r + 9. Let c(j) = -4*n(j) + 3*q(j). Let o be c(4). Let d = 11 + o. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1047, 1019, 331, -1023, -3049, -5753, -9141, -13219?\n\"Answer: -n**3 - 324*n**2 + 951*n + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynoygnyoyvnyvvy. What is prob of picking 1 g, 2 y, and 1 o?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 14 + 0*c**3 + 1\/10*c**6 - 1\/42*c**7 + 2*c + 1\/12*c**4 - 3\/20*c**5 + 0*c**2. Find f such that g(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1383 and 238525.\nAnswer: 239908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6000 divided by 1500?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -158, -232, -308, -386?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-92)*(-30 - -32) - 1882\/46.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -92*n + 61 + 18. Let p(k) be the third derivative of -1\/8*k**4 - 4*k**n - 1\/20*k**5 + 1\/40*k**6 + 1\/70*k**7 + 0*k**3 + 0 + 0*k. Factor p(q).\nAnswer: 3*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 190*t**3\/3 - t**2\/2 - 306*t - 193. Find the second derivative of d(a) wrt a.\nAnswer: 380","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, w: 1, m: 2}. What is prob of picking 1 e and 1 m?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = -3*q, i + 4*q + 5 - 25 = 0. Let m be 12\/5 - 12\/30. Suppose s = 2*v - 71, m*v - v + 4*s - 40 = i. 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: Let z(a) = 10*a - 1. Let i(q) = 9*q. Let g(b) = -5*i(b) + 4*z(b). Suppose 2*c - 4*p = -22, -c + 0 = 2*p - 5. What are the prime factors of g(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1441*a**2*z**2 + 1380089*a**2 - a*z**2 + 5*a*z - 4*z with respect to z.\nAnswer: 2882*a**2*z - 2*a*z + 5*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8559693 months to millennia.\nAnswer: 0.000071330775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 246848112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 6*p. Suppose -3*c + p*c = 38. Suppose g = 3*g - c. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 78*o + 44. Give c(-75).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)*b)\/(b\/(b\/b**(-2\/7))) assuming b is positive.\nAnswer: b**(-131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 2, q: 4, i: 4}. What is prob of picking 1 f and 1 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5008104 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/5 + 24*o**3\/5 + 32*o**2\/5 - 24*o\/5 - 36\/5.\nAnswer: 4*(o - 1)*(o + 1)*(o + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 3*p + h - 0*h, 0 = -4*p - 5*h - 105. Let f = p - -55. Suppose f + 18 = 4*q. What is the remainder when 32 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24567?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 779383939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7783818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*j - 56*j + 5*d - 12, 2*j - 16 = 2*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2235 - 1755. Calculate the highest common factor of 840 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 268460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-82*(-5)\/(-20))\/(80\/(-160)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278775*v + 278785*v = -430 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r**(-1\/3)*r**(-5\/4)\/r**(-1\/3))\/((r\/r**2)**12)**(2\/173) assuming r is positive.\nAnswer: r**(-77\/692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g - 34*g - 51*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 467 = -2*x + 3*x. What is the remainder when x is divided by 58 + -3*(-242)\/(-66)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 5. Let a(b) = -3*b**2 - 2. Let u(h) = 9*a(h) + 4*j(h). What is the first derivative of u(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 68, 4, 5 in descending order.\nAnswer: 68, 18, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18) + (-2187 + 2140 - (-118 - 1))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001178135 to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-2)*72\/144?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -15*i + 57 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-47 + 16 + 15 + 9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 901 + 919 = -3*d, -4*d = -2*y + 38. Let v(i) = -5*i**2 - 2*i - 13. Let t(k) = -3*k**2 - k - 7. Determine d*t(z) + 6*v(z).\nAnswer: 3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012939104 to five dps.\nAnswer: 0.01294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 - x**2 - 3*x**2 in the form z + q*x**2 + s*x and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-15) + 3 + -1. Let s = -1012 + 1009. What is the closest to 1\/3 in 0.5, s, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 11. Let u be h(0). What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 p when four letters picked without replacement from pepeqep.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) - -1*sqrt(104)))*-4 - (sqrt(104)*-1*4 + sqrt(104)))\/(1*-2*sqrt(8) + (-2*sqrt(392) - sqrt(392))).\nAnswer: 9*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.167583112 to 4 dps.\nAnswer: -12.1676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -198, -220, -242?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 293*t + 236. Let w be b(-9). Let d = w + 3787. What are the prime factors of d?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 986 (b) -90 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 0 (c) 4 (d) 1551 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, h: 1}. What is prob of sequence qqq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9769 or -9762?\nAnswer: -9762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + k - 2. Let n be r(-3). What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37872.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 1\/8, -0.4, 2, -6\/161?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 5\/437923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**(-2\/17)\/((v\/(v*v*v**(-1\/5)))\/v*v*v*v\/(v*v\/(v**(-6\/7)\/v))*v*v))\/((v**(1\/9)*v)\/(v\/v**(6\/11))*((v**(-1)*v*v)\/v)**27) assuming v is positive.\nAnswer: v**(3533\/117810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14583176 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 5, 15, 0, 0.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(2*(sqrt(200) + 2) + 4 + 4) + 4)*3.\nAnswer: -180*sqrt(2) - 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.79 - -22. Let r = g - 1.21. Let p(u) = -u**3 - 2*u**2 + 2*u + 1. Let s be p(-2). Sort s, r, -4 in decreasing order.\nAnswer: r, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -117\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1082\/37 > -5\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 2. Let w be x(3). Let j be 0 - (w - 3 - 1). Solve 0 = -n - j + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483 != 3507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfnfne. Give prob of sequence fef.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -44 and -582\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/3))\/(a*a**5*a) assuming a is positive.\nAnswer: a**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.037 - 0.297. Let r = 0.74 - x. Sort 1\/12, 0.5, -1\/3, r in descending order.\nAnswer: 0.5, 1\/12, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 131, 192, 253, 314, 375?\n\"Answer: 61*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-24)*(-28)\/(-70)*3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 e when three letters picked without replacement from {e: 17, s: 3}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -41*j - 616. Let d be v(-21). Solve 26*x = 75*x + d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 + 52 + 81 + -59?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2435769 divided by 15129.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 76. What is i(-46)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {d: 1, r: 3, o: 3, l: 5, w: 1, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 2714?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**2 - 2*h - 313. Calculate d(0).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 - 1719*q**4 - 60660*q**3 + 404976*q**2 - 837216*q + 567216 = 0.\nAnswer: -39, 2, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 431\/5 - 12509\/145. What is the third biggest value in 0, -3\/8, -1, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -602859 - 14?\nAnswer: -602873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 - -0.3. Which is the nearest to j? (a) -3 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t - 3*c - 3, -t - 2*c = 2. Let q be (1 + t)*(3 - 2). Solve -4*y = -7 - q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 11 = -i, -3*y + 5 = 3*i - 16. Suppose 2*z + 9*b - i*b = -1, -31 = -4*z + 5*b. Let r be (-48)\/(-9) + 2\/(-6). Solve -r*j + z*j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14240 - 14042. Calculate the greatest common factor of 1364 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9196 times -11\nAnswer: -21.1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 144.79336\nAnswer: 43.438008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d - 3*x, -4*d = -5*x - 22 + 2. Suppose d*q = 2*q + 30. Solve -t = -5*l + 2*l + 5, 0 = -5*l + q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34*(-357)\/171666 + (-8)\/9.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 487*g**2 + 6122*g - 12. Give i(12).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (400\/(450\/(-45)))\/2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 + 64. Let h = 68 + b. What is the greatest common factor of h and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*q**3 + 32*q**2 - 1067 wrt q.\nAnswer: 18*q**2 + 64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65437 (base 15) to base 5.\nAnswer: 40242302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 3. Let c be (-1 + -3)*-1 + 1. Let g(q) = -8*q - 5. Calculate c*x(s) + 3*g(s).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 0.21.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000111011100110 (base 2) to base 15.\nAnswer: da047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1410397 - -0.258028872\nAnswer: -1410396.741971128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11634*v**6 - 66*v**2 - 15 wrt v?\nAnswer: -1396080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132\/3 less than or equal to 376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i - 1034 = -41*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b + 818. Let d be f(-68). Let x(i) be the second derivative of 9*i**5\/20 - i**4\/2 + i**2\/2 - i. Let y(v) = -3*v**3 + 2*v**2. Give d*x(s) + 7*y(s).\nAnswer: -3*s**3 + 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a + 8936 - 8936.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.21 - -0.41. Which is the nearest to -1? (a) -5 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6029473*p**2 - 39*p - 83*p + 6029392*p**2 to the form c*p + k + t*p**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.8 + 58.9. Let n = -25 + d. Let a = 8 + n. Sort 4, a, -3.\nAnswer: -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgfprf. What is prob of sequence gffr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71366, 142738, 214118, 285506, 356902?\n\"Answer: 4*p**2 + 71360*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31596912557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74654 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j - 3. Calculate t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**2 + q**3 + 7*q + 0*q**3 - 5 - 6*q. Let d be l(7). Solve -y + u = 0, 4*y = -d*u + 5*u - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 83494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 6*j + 4. Let x be w(6). Suppose 0 = -5*v + 5, -6*q - x*v = -3*q - 1. Let p = -4 + 2. Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 7 - 8 + 1.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149330?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.382 + 7.382. What is the smallest value in r, 2\/7, -2\/5, -5\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 9*h**2 - 39*h + 24. Calculate f(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - 2.49. Let g = f + 2.5. Let i = 9.75 + -9.65. What is the second smallest value in g, i, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9789 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -2 - (-353 + -1). Suppose k = 4*m - 42. Let v = 4 + 7. Calculate the highest common factor of m and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-33)*(x**(-1))**13*((x**0)**(-23))**6 assuming x is positive.\nAnswer: x**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 1504, 3376, 5996?\nAnswer: 9364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8400)\/3920)\/((-30)\/(-35)*2) + 1380\/16?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6731746 * 0.1\nAnswer: -673174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4399, 8798, 13197, 17596, 21995?\nAnswer: 26394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -1. Let x = 8 + 1. Let y be o\/(-9) + 20\/x. Solve -2*n + y = 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*h = -64*h - 7410. Let i = h - -100. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 650924019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 e, and 1 h when four letters picked without replacement from {h: 5, r: 2, e: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -105*f. Let v(k) = 69*k - 14. Let w(n) = -25*n + 4. Let h(d) = 2*v(d) + 7*w(d). Calculate h(b(y)).\nAnswer: 3885*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from yyzyzyzzhyyyzyyyz.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w - 156 = -9*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 53*z - 50*z + 2853, 2*b - z - 1907 = 0. List the prime factors of b.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + c**2 + c - 13. Let p be r(0). Let z = p + 23. What are the prime factors of z\/(-15) + 28\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5bb5 (base 13) in base 4?\nAnswer: 3023000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*(sqrt(475) + sqrt(475)*4 + sqrt(475)) + sqrt(475) + -4 + 0)**2*-4.\nAnswer: -1597904 - 1160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = 7. Suppose -23 = -5*q - b. Solve 4*x - 2*g + 6 = 0, q*x - g + 6 = -0*g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llluuuuuuululullll. What is prob of sequence uu?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*f**5 - 1023973*f**4 + 3*f**3 + 163639430*f**2.\nAnswer: 900*f**2 - 24575352*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -15*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 14 - (3 + -10 - (-11 - 13))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, p: 3, m: 2}. Give prob of picking 3 p and 1 m.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:56 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7652301, 7652303, 7652305, 7652307, 7652309, 7652311?\n\"Answer: 2*g + 7652299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -221 and 0.22.\nAnswer: -220.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-344)\/32 + 9).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336 = -5258*x + 5272*x for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5232, -12426, -21586, -32712, -45804, -60862, -77886?\n\"Answer: -983*j**2 - 4245*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9071 = -12*w + 6225, -3*a + 12 = 0. What is the remainder when w is divided by 100?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 89 = -i + 5*m, 0 = -i + 2*m + 30. Calculate the remainder when 86 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*a**3 - 1430*a**3 + 610*a**3.\nAnswer: -96*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55605 and 2640?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5088 divided by 4.\nAnswer: -1272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14019\/7 (b) -0.3 (c) -1.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9434 divided by -4717\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 11 - 18)*(-2*r - r + 4*r) - 3*r - 3*r + r + (0 + 0 + 1)*(-r - 3*r + 3*r).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 1. Let f be d(7). Suppose f*p = -1996 + 6586. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -4?\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235 and 3938365?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -14) + -2 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 14 = 3*s, o + 2*s + 2*s - 10 = 0. Suppose -5*k + o*k = 15. Let u(l) = -21*l + 1526. Let w be u(73). Are w and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/960 + q**5\/480 + q**4\/192 - 3*q**3 - 7*q. Let y(n) be the second derivative of c(n). Find l such that y(l) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c. Let b(g) = 3*g. Let u(m) = -17*b(m) + 6*n(m). Let y(j) = j**2 - 4*j - 26. Let l be y(-4). Calculate u(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 40. Suppose u = -4*v - 4*m + 64, -m = -v + 5. Find y such that 0*y + 2 + 3*y**2 + 3*y - v = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from bbbrrbhbrrbrbr.\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*w - 10 = 8, 5 = w. Suppose -i = x - 17. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.26*-0.497.\nAnswer: 8.57822","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 0.4 = -2418\/629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 89 + 64. Solve -4*x + s = -5*r - 28, 2 = 4*x + 2*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2250 by 15.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 28*t = -27*t + 21, 5*i + 5 = -5*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539.86166 rounded to 0 dps?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 1102021330?\nAnswer: 1102021332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 > -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {b: 1, c: 2, k: 2, h: 8, w: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7817.718 - 7823. Round x to 1 dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:20 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 425149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b + 3d?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 298, 305?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 5*u - 2. Let k be j(-6). Let b = -6 - k. Let i(o) = o**2 + 11*o + 13. Let f be i(-9). Put b, 4, f in ascending order.\nAnswer: f, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - 19*i - 8*i)*(-3 + 3 - 1 + 3*i).\nAnswer: -51*i**2 + 17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 46.99977. What is h rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*t - 98. Calculate the highest common factor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 5 (b) -3\/4 (c) -0.3 (d) -0.59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1453309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/133 and -10\/71.\nAnswer: 9443","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4\/4 + 351*b**3 + 8313*b**2\/4 - 351*b - 2079 = 0. Calculate b.\nAnswer: -462, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 + 7 + 16 + -17 + -14?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 24*h**2 - 22*h + 21. Let u be (-10 - 197)*24\/(-216). Give t(u).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 281633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4099, 16410, 36941, 65692, 102663, 147854, 201265?\nAnswer: 262896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47 - 46) + 5\/(-15)*(-985 - 2). Does 327 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 34 + -6 + -4 + -8 + 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**3\/3 - 146*r**2 + 291*r - 3166. Factor b(p).\nAnswer: (p - 291)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 3*a - 3. Suppose 9*r - 4*r + 15 = 0. Calculate s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 5*h**4 - 4*h**4 + (4*h**3 - 5*h**3 - h**3)*(h + 0*h + h) + (0*h - 2*h**3 + 0*h)*(-h - 5*h + 4*h) - 300*h - 2810 + 2*h**4 + 2810.\nAnswer: 4*h**4 - 300*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1405326 and 4442.\nAnswer: -1400884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-540)*-5)\/(76\/342).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbccb. Give prob of picking 1 c and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396 - 4*(-14)\/8.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1)\/(((-2)\/(-7206))\/(32\/(-96)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 152*o + 42835. Calculate x(-282).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 925970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -152 - -73. Let n = 38 - r. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3728 and 64\/1165?\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3\/(-18) + 3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 + 11*z. Let u(g) = -g**2 - 3*g. Let x(m) = 6*j(m) + 22*u(m). Let q(p) = p - 8 + 8. Determine q(x(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 846.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o\/o**(-7\/2))*o*o**(-3\/17)*(o\/o**(-1\/15))**(-12\/13) assuming o is positive.\nAnswer: o**(-5881\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3*j**3\/2 + 51*j**2\/2 - 273*j\/2 + 441\/2 = 0?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 49. Factor 80*v + 1 - 86*v + v**2 + j.\nAnswer: (v - 4)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -74. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/5)\/((-3)\/30*2). Let a(j) = -1 - j**3 + 5 - 1 - 3*j + 4*j + j**x. Calculate a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 1\/169351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 4*j - 1. Let u = 6 - 4. Suppose -12 = 5*n - c, c + 8 = -u*n + 3*c. Let o be a(n). Solve o*b + 1 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1903 less than 357.45819624?\nAnswer: 357.64849624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -4. Let b be ((-20)\/(-25))\/(1\/m). What is the derivative of -9 + 13 - o**b + 5*o**4 wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**8\/23520 + n**6\/2520 - n**4\/4 + n**2. Let v(y) be the second derivative of i(y). Suppose v(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013404 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 63 = -3*c - 3*w, -5*c = w - 299. Suppose -5*a + 4*a + c = 0. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-14) + -14)\/(214\/(-9844)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 1194?\nAnswer: 9552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -337 - -73736\/219. Let r = w - 2\/73. Which is the nearest to 0? (a) r (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.1, -0.03, 1, 403, -1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3165*m**2. Let q(p) = 49*p. Calculate f(q(o)).\nAnswer: 7599165*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 30866184*n - 79393442893488.\nAnswer: -3*(n - 5144364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-74600)\/17904*((-3)\/5)\/(-1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126741023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 2, r: 1, i: 3, f: 6}. What is prob of picking 1 i and 2 f?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 162*i**3 + 1035*i**2 - 2292*i + 1692.\nAnswer: 3*(i - 47)*(i - 3)*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**3 + 331*v**2 - 11*v + 2*v**3 + v**4 - 1 - 35*v - 315*v**2 to l*v**2 + q + y*v**3 + u*v + o*v**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7966 + -7918. Is 48 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -5*u + 4*u. Suppose 14*c - 11*c + 144 = 0. Let q = c + u. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let l = h + -4. Let f be 0\/1 - 3\/9. Which is the nearest to f? (a) -0.5 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from 2348448904.\nAnswer: 2348448903.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5090192 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + 18)\/(1\/9) is divided by (3 + (-5 - -10))*4.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14727.6742 to zero dps.\nAnswer: -14728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -j - 3*n + 5, -15 = -3*j + n. Solve -3*c = j*g + 10, -g - 5 - 4 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 17}. Give prob of sequence uvu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26887 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*l = -3*k + 8, 8 = 4*k + 2*l. Suppose 185 = k*t + 3*j, 3*j - 79 - 150 = -5*t. Let s = -20 + t. What is the remainder when s is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -15*o + 18*o. Suppose 4*l = o*w - 79 - 317, 302 = -3*l - 2*w. Let f = 103 + l. Which is the smallest value? (a) 1 (b) -1 (c) 4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2799*l - 220608 + 220608 as g + n*l and give n.\nAnswer: -2799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -16) + 108 - (12 - (6 - 14))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alelllllaelalaa. Give prob of sequence ll.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 13*o**4 + 7*o**3 + o**2 - 26*o. Let d(p) = -p**4 - 2*p**3 - p**2 + p. Let b(q) = -d(q) - u(q). What is the second derivative of b(m) wrt m?\nAnswer: -144*m**2 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30314167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 1:13 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/40 - 4*s**5\/5 - s**2 - 30. Factor u(a).\nAnswer: -3*a**2*(a + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let w(i) = -5*i - 6686. Give r(w(s)).\nAnswer: 5*s + 6686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3884 + 3902. What is the lowest common multiple of a and 687?\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -306133852*r**3 - 7*r**2 - 841*r - 1054 wrt r.\nAnswer: -1836803112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-486*h**2 - 2 + 611*h**2 - 1013*h**2 + 2)*(-2*h + 4 - 4)*(9 + 15 + 3).\nAnswer: 47952*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) + (sqrt(378)*1 - sqrt(378)) + sqrt(378))\/sqrt(6) + sqrt(63) + sqrt(63))\/(sqrt(9) - (sqrt(9) - 1*sqrt(9)*-5)) + (sqrt(700)*-5 + 5 + 3)**2.\nAnswer: -4004*sqrt(7)\/5 + 17564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/300*3\/2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0. Let l = 15561.1 + -15561. What is the third smallest value in 5, z, l, -63?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2601*t**4 + 1853340*t**3 - 326935492*t**2 - 1144855360*t - 992502016 = 0.\nAnswer: -88\/51, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30269924 >= 90809773\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/24 and -37\/320000.\nAnswer: 960000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 5*c. Let m be n(5). Let a(b) = 0*b + 4 - b + m*b. Let d be 0*((-1)\/(-1))\/1. Determine a(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12919*u = -12909*u + 110 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 divided by 5?\nAnswer: -119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/6*(48\/70)\/(-6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - z**3 + 39 + 114 + 30 + 103.\nAnswer: -z**3 + 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159743.\nAnswer: 31, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18062.8 - 18063. Let p = 20\/21 + -2\/3. What is the third biggest value in p, 12, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 92\/8 - 3\/2. Suppose -5*n + 2*r = -a, -n - 3*n + 5 = -r. Put n, -1, 3 in descending order.\nAnswer: 3, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1287140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192.5 + -187.1. Which is smaller: 3 or t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2 and 179\/81649854?\nAnswer: 81649854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(252) - (sqrt(252) + -1)))**2 - ((2 + sqrt(252))*6 + sqrt(252)))*5.\nAnswer: -210*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184572939 to the nearest integer?\nAnswer: 13586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*2\/(-30)*-5. Suppose -2 = -63*s - m. Let u(a) = -a + 2. Let r be u(2). Is r <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83011.85 millilitres?\nAnswer: 83.01185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 116*y**2 + 11*y + 76. Let v(i) = -23*i**2 - 2*i - 15. Let k(f) = 2*g(f) + 11*v(f). Differentiate k(n) with respect to n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/5753 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9036 is divided by 562.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -16.3. Let r = n + 0.2. Let q = 2 - 4. Which is the third smallest value? (a) -4 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.37\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 104a96 + -34?\nAnswer: 104a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122287, 244582, 366867, 489136, 611383, 733602, 855787?\n\"Answer: -d**3 + d**2 + 122299*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -855 + 1781\/2. Calculate the common denominator of r and 10\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.8296*-0.3\nAnswer: -2.94888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 112202112?\nAnswer: 112202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(((i*i**(-21)*i*i*i)\/i)\/i)))\/(i\/i**15*i))\/((i\/i**(1\/33))\/((i*(i*i**(-21))\/i)\/i)) assuming i is positive.\nAnswer: i**(-923\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -30.6. Which is the third smallest value? (a) m (b) -20 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 7 - 5) + 2 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/11)\/(r**2\/r)*(r*r*r**1)\/(r**1\/r) assuming r is positive.\nAnswer: r**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.242428 - -30.252328. What is m rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5965, 6109, 6347, 6679, 7105, 7625, 8239?\nAnswer: 8947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, -0.4, -2\/27, -1.9.\nAnswer: -1.9, -0.4, -2\/27, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3))\/(h**2*h))\/(h**(-8)*h*h\/(h\/h**5*h)*h*h) assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2. Let q(r) be the third derivative of r**4\/6 - 2*r**3 + 14*r**2. Give q(f(o)).\nAnswer: -12*o**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*g**3 - 180?\nAnswer: 207*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9679156 to 3 dps.\nAnswer: -1.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20875 - 20770. Let l = -53 - -83. What is the highest common divisor of l and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1304008\/9 + 145068. Let b = p + -178. Factor -2\/9 + 4\/9*t**3 + 4\/9*t**2 - 2\/9*t**5 - 2\/9*t - b*t**4.\nAnswer: -2*(t - 1)**2*(t + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4495081 (base 11) in base 10?\nAnswer: -7868961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 1. Let d be k(1). Suppose s + 3*s - d = 0. Suppose -s = -c, 2*l - 5*l - 21599997 = 3*c. What is l rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -3*x**2 - 4*x + 15. Find the first derivative of s(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:23 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:52 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 17 = 19*o - 20*o, -2*r - 1 = -3*o + 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 - 5*n**3 + 24*n**3 - 8*n**3 - 2*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -37*b**2 - 643*b - 21. Calculate j(-18).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-1 + -4 - (136 - 134)). Which is bigger: u or -7\/19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7165859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/31)*h)\/h**(1\/8) assuming h is positive.\nAnswer: h**(457\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 191250 divided by 2250\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, m: 7, n: 4}. Give prob of picking 1 n and 1 p.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -285, -292, -301, -312?\n\"Answer: -j**2 - 4*j - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 7*r**4 - 2*r**3\/3 - 57*r + 19. Differentiate b(u) wrt u.\nAnswer: 84*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from rilrrllilrrir.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15*-379.89\nAnswer: -5698.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.2 (b) 1.1 (c) -3 (d) 2\/3 (e) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1916583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 x, and 1 p when three letters picked without replacement from {x: 1, p: 3, z: 2, j: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131453*m**3 - 7046*m - 10 wrt m.\nAnswer: 788718*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/30 and 49\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 574898 + -74298. What is a rounded to the nearest one thousand?\nAnswer: 501000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/11, -1.2, -1\/11, -3.959?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 7*l - 7. Let o be d(-5). Suppose x = -3*z + 2*z + 7, x - 4*z + 18 = 0. Suppose r + 54 = y - x*r, -4*r - 167 = -o*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 3*u**2 + 3*u - 4. Let r be g(3). Suppose r*b + 12 = 27. What is the third derivative of 2*z**4 + 4*z - 4*z + b*z**2 + z**2 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 2. Let w = y + 11. Suppose 3*b + w = 59. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 6:54 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 5*t**2 - 8*t - 9. Let c be o(-6). Let g be -2 - (-1)\/(c\/18). Suppose 0 = g*s - 11 + 3. Solve -9 = s*d + d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, e: 2, h: 1, u: 1, n: 5}. What is prob of sequence eu?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -4*v - 5*a + 11, -a = 1. Let u be (-32)\/v*(-3)\/(-4). Solve 0 = u*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((1*sqrt(66))\/sqrt(11)) - (5*sqrt(17)*1 - (sqrt(17) + (2*sqrt(204))\/sqrt(12))**2).\nAnswer: -4*sqrt(17) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s + 1. Let g be (-4)\/(-6)*(11 + (-325)\/26). Let w(z) = 7*z**3 - 6*z**2 + 4*z + 4. Give g*w(b) + 4*d(b).\nAnswer: -7*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.049241 and 0.1462.\nAnswer: 0.195441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.12 (b) -2 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001355546 to 7 dps.\nAnswer: -0.0001356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/21 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**2 + 22 - 3*q**2 - 43 + 19.\nAnswer: 9*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 6 - (-4 + 1)) + (0 - 17)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5539.353mm to nanometers.\nAnswer: 5539353000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940015 times -0.5?\nAnswer: -970007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32242 and 90804?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 82*y**2 + 4*y - 3. Let l be d(-7). Suppose 0 = -5*a + l + 4263. Let q = a - 8197\/5. Calculate the common denominator of q and -97\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/4)\/(21\/28). Let h(c) = 5*c - b*c + 2*c. Let s(p) = -p**2. What is s(h(k))?\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-0.34739369\nAnswer: 0.0277914952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 1 + 6)*(27*i + 0*i + 4*i) as u*i + o and give u.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-6) - (-2)\/3. Let j(i) = -i**3 + 5*i**2 + 7*i - 1. Let f be j(6). Suppose 0 = -a - 5*m - 15, f*a - z = 2*m. Solve -3*y - 4 + 10 = a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 58*t**2\/7 - 8*t.\nAnswer: -2*t*(t + 1)*(t + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**9\/72 - z**5\/30 + 10*z**2. What is the third derivative of i(f) wrt f?\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -9223\nAnswer: 12\/9223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(891) + 3*sqrt(891)*1))**2 + (sqrt(77) + (sqrt(77) - (sqrt(77) - 3*sqrt(77)))*-6 - sqrt(77))\/(-6*sqrt(343)).\nAnswer: -8061*sqrt(11)\/7 + 228112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/4))**(-1)*w\/(w**(-2\/5)*w*w)*w*w**(-5)*w assuming w is positive.\nAnswer: w**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 33 = -21. What is the smallest value in b, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let h(y) = y - 4. Let x be h(6). Let k(i) = -3*i + 6*i - 43*i**x + 36*i**2. What is w(k(s))?\nAnswer: -14*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1826*y = 1885*y - 206972. What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 + 5*o - 3. Let p be z(6). Let q be 12*2\/3*p\/(-18). Let u be 2\/16*q*8. Solve 0 = -4*v - 12, u*i + 9 = v - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -242, -247, -262, -293, -346, -427?\n\"Answer: -m**3 + m**2 - m - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(7\/2)\/q**(-1))\/(q*q**(5\/2)*q*q**11*q) assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 + -1.5. Let t = x - 0.2. Let n be (-5 + 228\/48)\/((-10)\/16). Which is the nearest to t? (a) 0.5 (b) n (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 97*m - 44. Calculate the remainder when z(3) is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - 4*q, -8*q + 11*q = 0. Let h(j) = -8*j - 23. Let p be h(l). Solve 4 = 3*m + 4*w, 0 = -4*m - 2*w + p + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*y**3 + 21654*y**2 + 26*y - 131829102?\nAnswer: -75*y**2 + 43308*y + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*0.121\nAnswer: -0.2662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 165885451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002648222 rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 766 - 4*o**2 - 253 - 259 - 254.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367769, 367639, 367505, 367367, 367225?\nAnswer: 367079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-340)\/(-15)*6\/4. Suppose -34 = -3*i - 4*h + 2*h, -4*i + q = -3*h. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75124?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g - 2, 0 = 2*n - 4*g - 14. Solve 11*d - n = 8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(2\/((-4)\/3)). Let k(w) = 3*w - 1. Let l be k(2). Let f(a) = a**3 - 6*a**2 + 1. Let i be f(6). Solve i = l*g - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463544324 a multiple of 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10703, -10706, -10711, -10718?\n\"Answer: -q**2 - 10702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4693*p + 1683*p + 654*p + 840*p - 2762 with respect to p.\nAnswer: -1516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/21))*r\/r**(-3)*r)\/(r**(1\/3)\/((r**(-2\/3)*r)\/r)) assuming r is positive.\nAnswer: r**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10.974 - 349064.3046\nAnswer: -349075.2786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = 3*x, 0*n = 3*x + 3*n - 18. Suppose 16 = x*c - 0. Solve -2*b - 2 = 0, 2*g + c + 1 = -5*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 75.418 + -36\nAnswer: 39.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138167139 divided by -37.\nAnswer: 3734247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 134759 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114972 and 220?\nAnswer: 574860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131318 and 188?\nAnswer: 262636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796164?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + v = -125, 2*g + 2*v = 37 + 33. Suppose l + l = -g. Let o = 39 + l. Calculate the greatest common divisor of 152 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -32, -103, -214, -371?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 22 = 2*g, 7*j - 2*j = 3*g - 5. Let b = 6 + j. What is v in 2*v**5 + 2\/5*v**3 + 0 + 0*v + 16\/5*v**4 - 4\/5*v**b = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67033 is divided by 67024?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 652000*y. Let u(j) = j + 3. Give v(u(o)).\nAnswer: 652000*o + 1956000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*k*p**2 - 54588892*k - 46076*p**3 wrt p.\nAnswer: -128*k*p - 138228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z - 51. Let a be m(5). Solve s - a = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 129, 117, 105, 93?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 9) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2683, 1839, 435, -1523, -4029, -7077?\nAnswer: -10661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579*j + 81999 = -53795 for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -180 or -165?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(68) - sqrt(68))\/(sqrt(256)*-1))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63808 and 1.5.\nAnswer: -95712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 450*i**2 + 889*i - 22. Determine u(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-32)\/12. Let d = -6 - m. Let z = 181 + -181.6. What is the second smallest value in -3, z, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1090 - 5*r**2 + 545 + 549.\nAnswer: -5*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2*o + 7. Let m be i(0). Suppose 0 = -p - 5*b, -5*b - 12 - 3 = 0. Suppose -u - 2*v + 49 = -m*v, 3*v + p = 0. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 28*b - 2*b = 0. Suppose 5*y = -3*a + 2, -6*y + a = -2*y - 5. Solve -y = -b*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -996 less than or equal to -996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2549 by -2549.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.087 + 8.787. Let j = -9.157 - -0.157. Let d = j + m. Put -0.4, d, 0.1 in descending order.\nAnswer: 0.1, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 117098.\nAnswer: 1\/58549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2446923*t**6 + 83*t**4 + 949590462*t**2 wrt t?\nAnswer: -293630760*t**3 + 1992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.009 (b) -3\/8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. What is the lowest common multiple of (0\/(-1))\/h + 10 and 1 - -11 - 1 - 0\/5?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 454?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53724, 53710, 53702, 53706, 53728, 53774, 53850, 53962?\nAnswer: 54116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 137*i. Let q(j) = 3*j**2. Give k(q(p)).\nAnswer: 411*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -26273153 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 6*q**2 + 17*q**2 + 46*q**2.\nAnswer: 57*q**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115, -527, -1645, -3823, -7415?\n\"Answer: -59*y**3 + y**2 - 2*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6972?\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9916 * -0.05788\nAnswer: -573.93808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -431*d. Let u(z) = -6*z**2 - 8657. What is u(a(w))?\nAnswer: -1114566*w**2 - 8657","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1987 + 8227. Let l = v + -49855\/8. Calculate the common denominator of l and 10\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, 4, 160?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 3.7. Let w = -1.6 - f. What is the fourth smallest value in 1, -2, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -249490, -498977, -748464, -997951?\n\"Answer: -249487*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80117 and 167918?\nAnswer: 119053862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y + 2*d, 3*y = 3*d + 8 - 11. Let b(v) = 29*v - 1. What is b(y)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 10 - 10)*(-6*p**2 + 14*p**2 + 21*p**2) as d*p + o + l*p**3 + j*p**2 and give l.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.44, -9, -5.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 17 + -6 + -16 + 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35689.\nAnswer: 89, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.27 + 6.67. Which is the fourth biggest value? (a) z (b) 1 (c) 3.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13286655761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 38*s = 105. Solve 0 = -5*t + 2*t + 12, s*t = -c + 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -17, 9 in decreasing order.\nAnswer: 9, 4, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -13.8.\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/24625?\nAnswer: 4\/24625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: d41a (base 15) to base 4\nAnswer: 22330000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 1. Suppose 5*u + 3*c = 3 + 5, 0 = 2*u - c - 1. Let x be i(u). Let z(l) be the first derivative of l**3\/3 - l**2\/2 - 2*l + 1. Determine z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -661 + 8?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 3}. What is prob of sequence biib?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let n(i) = -i. Let b(x) = 2*n(x) - 3*y(x). Let z be b(0). Let o be (-7)\/(-4) + (-1 - z). What is the second biggest value in -4\/7, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*t. Which is the nearest to t? (a) 1 (b) 3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33730039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4753003 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 38 + 56 = -8*z - 4*n, 2*z - 11*n - 47 = 0 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4169626\/304 + 2\/16 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s + s**3 - 3*s**2 + 5*s - 2 - 3*s - 3*s. Let c(x) = 3*x - 1. Let u be c(-1). Let t = -2 - u. Give a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 2*m = -19, -8 = 4*m. Suppose y*z - 16 = z. Let f = -2 + z. Solve -f*x = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-3))\/8 - 184\/12. Let j be (t + 14)*(-1 - -1). Solve 2*v + 5*m + 8 = 4, 3*v - 3*m - 15 = j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470*r**2 + 474*r**2 - 270*r**2 - 673*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2655879?\nAnswer: 3, 23, 61, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i**2 + i + 3. Let o(d) = -251*d**3 + 2*d**2 + 3*d - 23. Let t(l) = -o(l) - 2*p(l). What is the second derivative of t(x) wrt x?\nAnswer: 1494*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w*w**6\/w*w)*w\/w**(-5))\/(w**(2\/23)\/w**2))**47 assuming w is positive.\nAnswer: w**(2068\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 650 - -0.027.\nAnswer: 650.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -363, -679, -995, -1311?\nAnswer: -1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1 - 1 - p. Let l(f) = 3*f**2. Suppose 30 = 4*n + 2. Let g(r) = 10*r**2. Let w(c) = n*l(c) - 2*g(c). Calculate w(d(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - 7*y**2 - 2*y - 7. Let j be n(-6). Let m = j - -73. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4224286 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -0.2 (c) -0.05 (d) -60 (e) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 145 - 20\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 921\/2, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361136460 + -3?\nAnswer: 361136456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/20 - z**4\/2 - z**3\/3 - 7*z**2\/2 - z. Let m be d(-6). Suppose 4*h + 8 = -12. Put -2, m, h in decreasing order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -389753 + 389753 - 1551*u. Let d(y) = -4*y. What is p(d(l))?\nAnswer: 6204*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 60174, -0.2, -3, 201 in descending order.\nAnswer: 60174, 201, 5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**2*o - 4*c**2 + 5*c*o**3 + o**3 + 172*o**2 wrt c.\nAnswer: -12*c*o - 8*c + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 65\/29 (b) 73 (c) -1\/2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 58 = -2*w + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.10547 - 3.89453. Put 0.5, 0.06, -1\/62, o, -5 in decreasing order.\nAnswer: 0.5, 0.06, -1\/62, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1110101?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6\/4555 + 3024562\/31885. Let c = f + -280\/3. Find the common denominator of -83\/30 and c.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 5*r = -25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 4*o + 78119*o**2 - 87721*o**2 to the form s*o + m*o**2 + h and give m.\nAnswer: -9602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -215, -844, -1893, -3362, -5251, -7560, -10289?\n\"Answer: -210*k**2 + k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*x**2 + 4 - 6*x - 4.\nAnswer: 246*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -743 - -743. Which is the nearest to h? (a) 2\/13 (b) -0.3 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1311 - 763. Suppose -3*p + 1057 = -4*r - 1145, r - 2*p + y = 0. Let j = -336 - r. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-174)\/24 - 4\/(-16) - -4858.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 33*v + 25. Let k be f(-14). Let j = 126 - k. What is the remainder when 92 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 2*t + 4. Let y(h) = -4 - 1 + 0 + 3*h - 2*h**2. Let i = 26 + -31. Calculate i*s(o) - 4*y(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -44*a**3\/3 + 12*a**2 + 64. Factor o(x).\nAnswer: -4*x*(11*x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20448, 20450, 20452, 20454, 20456, 20458?\nAnswer: 20460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-13) - 7\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 13*a**2 - 2*a + 52. What is the units digit of j(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -477208 divided by -119302\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8)\/((-1666)\/(-147) + -11)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 5:39 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 36 = 3*a. Let m be -1*2\/(-4)*8. Let i = m + a. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210200 (base 3) in base 14?\nAnswer: 69c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 131, 328, 585, 902, 1279, 1716, 2213?\n\"Answer: 30*o**2 + 107*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 2*c - 34, -74*c - 78*c = -p - 153*c - 2 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**3 - 49*o**2 - 2*o + 95. What is z(12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5510 is divided by 229?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -668*p**2 - 9348408*p + 9348408*p.\nAnswer: -668*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, -1\/3.\nAnswer: -4, -1, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 54*j - 52*j = 14, 0 = -5*j + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 + 165. Let q(j) be the second derivative of 0*j**5 + 3\/10*j**6 - 5*j + 0 + 5\/6*j**r + 0*j**2 + 0*j**3. Find the third derivative of q(l) wrt l.\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 75 = 3*l. Let y(j) = j**2 - 5*j - 8. Let t be y(9). Let b = l + t. What is the greatest common divisor of 27 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 66*s**4 - 15\/4*s**5 - 657\/4*s**3 + 0 - 105*s - 339*s**2 = 0.\nAnswer: -1, -2\/5, 0, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + 15*x - 15. Suppose -42 - 3 = -3*i. Let v = 20 - 24. Let q(k) = 13*k**2 + k + 1 - 14*k**2 + 2*k + k - 5. What is i*q(g) + v*u(g)?\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 57 (c) 1\/2 (d) -2 (e) -4\/5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7821*w. Let l(z) = 85*z. Calculate 6*d(f) - 553*l(f).\nAnswer: -79*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 - 4*z - 27. Determine u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + 9*m - 9. Let c(h) = 2*h**2 - h + 1. Let q(x) = -2*c(x) - k(x). Determine q(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-282)\/4*20\/(-30)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 4*o = -18, -39 + 23 - 206 = -74*o for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*t**4 - 5*t**4 + 5*t**4)*(-t + 3*t + t)*(3 - 17 + 8).\nAnswer: -198*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141299353.\nAnswer: 13, 193, 199, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 282*g**2 + 3*g + 6. Let c be r(3). Let u = c - 1719. Suppose -3*q = 6*d - d - 2085, 2*q = -2*d + u. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (388\/(-3))\/((-2)\/6). Suppose 0*r = -h - 5*r, 4*h = 4*r + 24. Suppose h*u + 2*l = 949, -5*l + 3*l = -2*u + o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 97*u**8\/336 - 39*u**4\/8 - 5*u**2 - 7*u. Find the second derivative of t(n) wrt n.\nAnswer: 1940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30181669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/14*(-68)\/(-2142)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 3*g + 90 = 0. Let b be (52\/g - 1) + (-174)\/(-783). Let u(w) = -w**2 + 7*w - 5. Give u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85921895 - -0.5?\nAnswer: -85921894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0733 plus -0.016472334122?\nAnswer: 0.056827665878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*o**5 - o**2 + 2*o + 23 wrt o.\nAnswer: 3680*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u = -6*u - 3*i + 9, -5*u - 12 = 3*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 40. Let q be n(16). Let y = q - 21. Suppose 5*u + v = 3*v + 2717, -y*v - 1623 = -3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*z - 32430, -3*z - 129*v + 134*v + 32448 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i**2. Let f(w) = 6104426*w**2. Calculate c(f(o)).\nAnswer: -409904184684236*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(-1 + sqrt(847)) - (2 + sqrt(847))*6 - (2 + sqrt(847) + -3 + 3 + sqrt(847) + 2 + sqrt(847))))**2.\nAnswer: 107712*sqrt(7) + 1961892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 644 + -643.9. Suppose 2*a + 3 = -b, -3*b + 6*b + 9 = -3*a. Suppose a + 2 = s. Put -0.2, i, s in decreasing order.\nAnswer: s, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 29\/4, 3\/4, -2.1, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*q - 15, -4*i - q + 3 = -i. Suppose i - 18 = -3*y. Solve -14 = -2*f - y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m. Let f(h) = 16*h. Let g(i) = 2*i**2 - 6*i + 8. Let b be g(6). Suppose 2*c - 6*c - b = 0. What is c*w(n) - 2*f(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537660 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260777 and 7403?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-15))\/(-2)*25. Let h be 272\/3 - 10\/r. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x - 8. Let t = 601 + -1805\/3. Which is the smallest value? (a) 0 (b) 3\/8 (c) x (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.91 + 0.11. Let p = f - -2.8. Which is the second smallest value? (a) 0.4 (b) -0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8*v + 25 = 0. Solve 0*h - 3*h + i = 0, 3*i = v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36650 + 1932928837?\nAnswer: 1932892187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-243)\/(-720))\/((-213)\/(-594)) - -2. Let l = 5\/568 + m. Calculate the common denominator of 79\/10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 - -40. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/28016 and -79\/1236.\nAnswer: 84048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2270 + 3437. List the prime factors of -10 + 36\/3 + 0 + j.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (2 + 53\/(-27)) and 127\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106505.\nAnswer: 5, 7, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (5736\/(-78) - -53)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28576018*g**5 + 7*g**2 + 171746*g - 5?\nAnswer: -1714561080*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**2\/7 - 1334604*p\/7 - 148430653068\/7 = 0.\nAnswer: -222434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1174753 and -4\/142727.\nAnswer: 15271789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 18?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 h when two letters picked without replacement from qqpqpkppkqqkphkk?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/224 and -21\/172640.\nAnswer: 1208480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 214*v**3 - 5*v**2 + 10. Let g(q) = 4601*q**3 - 107*q**2 + 214. Calculate 5*g(r) - 107*u(r).\nAnswer: 107*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5*y - 1306*u**3*y + 14*u**2*y + 48*u + 4*y wrt u.\nAnswer: 120*u**2*y - 7836*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/2 + 1452*p - 103341\/2 = 0.\nAnswer: 37, 931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13202 is divided by 706?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1515 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*c, 12*c - 8 = -5*k + 15*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 219283, 219264, 219245, 219226, 219207, 219188?\n\"Answer: -19*k + 219302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176.8 >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z - z + 5*z. Let s be u(5). Let t = 27 + s. What is the remainder when 47 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.5325 (b) -0.3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -1 - 2\/3*b**3 - 20*b - 11*b**2. Factor m(l).\nAnswer: -2*(l + 1)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006663 to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (2 - -1 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -393*j + 471 wrt j.\nAnswer: -393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20891 - -20977. Sort -1\/5, 3\/7, d, -7 in ascending order.\nAnswer: -7, -1\/5, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 30380?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*g + 28, 4*v - 20 = -v. Let l(n) = -5*n - 5 - 3*n**g + 2*n**3 + 8*n**2 - 2. What is the remainder when l(7) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 149\/12067 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 7. Let i(j) = 36*j - 29. Let p(c) = -2*i(c) + 9*z(c). Is p(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.8, -348\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 1, v: 5, b: 4, f: 2}. What is prob of sequence fvfb?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -17.3. Suppose h = 2*o - 9, 2 = -2*h + o - 1. Suppose h = -2*p - 1. Which is the closest to p? (a) 3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 0 - (-2 - 112). Suppose v = 3*n - 112. Calculate the greatest common divisor of 15 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 264*g**2 - 12*g + 725. Is o(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**3 - 27*m**2 + m + 3960 wrt m?\nAnswer: 6*m**2 - 54*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 653 + -649.5. Let h = 2164.4932 + -2168. Let l = t + h. What is l rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/3065 and 99\/50?\nAnswer: 30650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s - 5482 - 33*s + 2*s**2 + 31*s - 331 in the form u + o*s + b*s**2 and give u.\nAnswer: -5813","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/39)\/(s\/(s*s**(7\/6)*s*s*s)*s*s*s) assuming s is positive.\nAnswer: s**(31\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j - 2*j)*(2*j**2 + 0*j**2 + 3*j**2) + 2*j**3 - 2*j**3 + 2*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-1\/6))\/n)**(-2\/15))**41\/((n**(-4)\/n*n)**(-1\/51))**39 assuming n is positive.\nAnswer: n**(-3037\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013672 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100012 (base 3) to base 13.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-242)\/10)\/(28\/(-5030)). Suppose 3*s = 8605 + 4448. Let a = s - b. What is the common denominator of a and 99\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, 1 g, and 1 u when four letters picked without replacement from llsgu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/8 (b) -350.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**2 - 9*x + 3. Let j be o(-3). Let w be j\/6 + 8 + -1. Suppose -q - 2*q = h - 9, w*q - 3 = h. Solve -2*l + 13 = -2*z + 3*z, -h*z - 1 = -2*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9684100*l**2 - 62*l + 6874?\nAnswer: 19368200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 + 61 + -16 - (0 + -3)) + -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -292.4 + 292.9. Which is the third smallest value? (a) -2\/7 (b) 0.1582 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + 27 - 27 + (-2*j + j + 3*j)*(-21 + 3*j + 21).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2351*k - 18 - 5666*k + 36 - 18.\nAnswer: -3315*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 + 17 = -21*q + 51. Let c(x) = 2*x + 7. Calculate c(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-10) + 1584\/385 + -5. Do 26\/5 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002342029.\nAnswer: 3, 1201, 555743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -103922 divided by 51961\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71281 and 12?\nAnswer: 855372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 6:51 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a - 4?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 765699911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303984 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1602942)\/(-154) - 2\/7*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 18*h = 7*h + 132 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1371941390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12408912 a multiple of 2192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmqnnm. Give prob of picking 2 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*a + a = 31, -5*a = 3*y - 39. Let d = y - 0. Let h be 2\/8 + 30\/d. Solve -h*c + 6 - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*q - 89801 = -1533*q + 50423 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*(-1 + sqrt(1584)) - sqrt(1584)))**2 + 5 - (-5*(sqrt(77)*2 + sqrt(77)))\/(sqrt(56)\/(sqrt(8) + sqrt(8)*-3)).\nAnswer: -366*sqrt(11) + 6390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**5 - 3*i**5 - 2*i**5 + (-3*i**3 - 2*i**3 + 3*i**3)*(2*i**2 + i - i) + (-6*i + 6*i + 9*i**3)*(8*i**2 - 2*i**2 - 2*i**2).\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 1249811281886.\nAnswer: -1249811281881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d9 (base 16) to base 6.\nAnswer: -35305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52329 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 - -48) + (-45 - -10) - 20.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*c + 10 = 26, -3*c = h + 4. Let s be 5\/(h\/(-2) - (-63301)\/(-12660)). What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13862 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46077 + 31?\nAnswer: 46130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + p + 4*p + 17 - 11*p.\nAnswer: 2*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j + 129 = -74 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-28) + 1 + 1. Let y = -206\/77 + g. Let u = 8 - 8.3. Sort y, 0.1, u in ascending order.\nAnswer: u, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/24 - (-14)\/8. Let t(z) = -3*z**2 - z**b + 5*z**2. Let y(n) = 2*n. Calculate t(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/2435652 and 63\/15718.\nAnswer: 660061692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41780581, -41780579, -41780577, -41780575, -41780573, -41780571?\nAnswer: -41780569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 14. Calculate the remainder when (-2)\/10 + 172\/10*1 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8366.69ms to seconds.\nAnswer: 8.36669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757057 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/4 - 51*b**4\/4 - 481*b**3\/2 - 3887*b**2\/2 - 19773*b\/4 + 28561\/4.\nAnswer: -(b - 1)*(b + 13)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 - 3*a**5\/20 - a**4\/12 + 7*a**3\/6 - 26*a**2. Let t = 72 - 62. List the prime factors of q(t).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 51 + 33. Let i = 62 + j. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -0.2 (b) -5\/6 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 - 100000101100101?\nAnswer: -100000110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 27 + 5 - 4*b**5 + 144*b**3 - 32 - 20*b**4 + 1088*b**2 + 1831*b - 39*b = 0?\nAnswer: -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-50)\/(-4))\/5. Factor -2 - 4*v**2 + 6*v**3 - 8*v + 2*v - 2*v**3 + 6*v**4 + 6*v**b - 4*v**5.\nAnswer: 2*(v - 1)*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25298651 - -9261984. Suppose 0 = 12*l + 147839365 + q. What is l rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:23 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-65)\/(-4) + -15)\/((-2)\/(-16)). Suppose -f - 75 = 4*f. Let u = f + y. Let g(r) = -r - 4. Determine g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t**3 + 131*t**2 - 816*t + 1692 = 0.\nAnswer: 6, 47\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.71 (b) -3\/4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 465?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 420950008 = 5*n - 0*c, 3*c - 168380012 = -2*n. What is n rounded to the nearest one million?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/112)\/((-4)\/8)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81130, -162248, -243366, -324484, -405602?\nAnswer: -486720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13623877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 + 151*p**3 - 3*p**2 + 679*p + 604937 with respect to p.\nAnswer: 4*p**3 + 453*p**2 - 6*p + 679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(2 + 0 - 4)*(8 + 0*d + 3 + 2*d) in the form y*d + q and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 719155044 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 133, 268, 399, 520, 625, 708, 763?\n\"Answer: -x**3 + 4*x**2 + 130*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/3 + 18728*w\/3 - 3773096\/3 = 0.\nAnswer: 206, 9158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let y(u) = -u + 11. Let f be y(11). Let z(o) = o**2 - o - 1. Let i be z(f). Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142115071 - -368?\nAnswer: -142114703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*v + 8, -2*v - 2*l - 4 = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 7*y - 2198 + 2182 = 3*h, 0 = 3*y - 5*h + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a meter in centimeters?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6417 - -5265. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915 and 11346?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1643 - -1651.8. Are 0 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*k - 69*k = -198*k + 9229737. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -36387.816?\nAnswer: -14555.1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 434. Determine w(45).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 126*q**2 - 369*q + 37. Determine d(123).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1101221022 (base 3) to base 16\nAnswer: 6c08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 631803197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 216*a + 39054. Calculate f(-184).\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17 + v**4 - 4*v**3 + 3*v**2 - 11 + 4*v - 10.\nAnswer: (v - 2)**2*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19780078 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 107 - 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6195.979 decades to centuries.\nAnswer: 619.5979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**2 + 263 - 12*i**2 + 1533*i**3 - 9*i**2 - 9*i**2 + 39*i**2 wrt i?\nAnswer: 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 142. Let s(x) = -3216*x. Give p(s(d)).\nAnswer: -41370624*d**2 + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + (7 - (-6 - -12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63304037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + -19 + 2 + 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3*u - u**2 + 507*u**3 + 1694*u**3 + u**2.\nAnswer: 2201*u**3 - 3*u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3 + (-1961)\/159 - 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3*j - 2 + 0)*(2*j - 2*j + j) to r + t*j + g*j**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-26 - -16)) + -1 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1871\/3111 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*z**2 - 280*z + 280*z - 2*z + 2*z**2 + 2*z + (3 + 0 - 4)*(-3*z**2 + 6*z**2 - z**2) - 2*z**2 + z**2 - 3*z**2 in the form d + y*z**2 + j*z and give y.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 277 = -465. Calculate the highest common factor of f and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 4. Let d(g) be the first derivative of -9*g**2\/2 - 6*g + 849. Calculate -5*d(m) + 8*j(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409552451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24*(-7)\/((-189)\/(-48)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 less than 27\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**3 + 3*x**2 - 4*x**3 - 101*x + 99*x = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4975979776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 983.4 - 983. What is the nearest to -3 in -2, 2, b, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294, -507, -1876, -3813, -6318, -9391?\nAnswer: -13032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 48*j**2 + 5 + 3*j**3 + 20*j + 3*j - 2*j - 5*j**3 - 55*j**2. Calculate the remainder when g(-7) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 4, a: 7, q: 2, w: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5 - -1 - (1 - 60) and 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 2)*(a + a - 4*a)*(3 + 12 + 0).\nAnswer: -210*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 6*n - 4. Let d be h(6). Let x(r) = r - 3. Let c be x(3). Let p = 3903\/5 + -780. What is the nearest to c in p, 1\/9, d?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695501792?\nAnswer: 2, 21734431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-3*sqrt(4)\/sqrt(2)) + (sqrt(6) + sqrt(54)\/sqrt(9))\/sqrt(2) + 3.\nAnswer: 5*sqrt(3)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 6*j - 6. Let h be u(5). Let c be ((-2)\/4)\/((-7)\/(-14)). Let v be c\/3 - 422\/(-6). Calculate the greatest common factor of v and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)*(-5)\/(-1). Suppose 38 = q*p - 42. Suppose 0 = 2*u - 0*u - p. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(50) + (sqrt(200) - -3*sqrt(200) - sqrt(200)))\/(sqrt(3240)*-2*1 - sqrt(3240)).\nAnswer: 2*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 112200?\nAnswer: 112132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 449*c**2 + 2490*c - 17735. Determine z(219).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 8 = 0. Suppose 4*m - s = g*s + 18, m - 4*s = 10. Let n(r) = -r**2 + 3*r - 3. Let j be n(m). Which is bigger: j or -13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/12*(-2)\/(-1). Suppose -5 + 2 = -i + 2*w, 0 = -5*i - 5*w - 30. Let t = 0 - 1. What is the nearest to i in j, t, -2\/11?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24827900, -24827898, -24827896, -24827894?\nAnswer: -24827892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from qqudduudqddduqqddu?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -536, -756, -982, -1220?\nAnswer: -1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 60. Let f(w) = -w**4 - 5*w**2 - 5*w - 13. Let b(m) = m - 10 - 3*m**2 - 4*m + 3. Let s(k) = r*b(k) + 3*f(k). What is the derivative of s(j) wrt j?\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/24 + 26076\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682*z**4\/5 - 7888*z**3\/5 - 11568*z**2\/5 - 1088*z - 160 = 0 for z.\nAnswer: -2, -10\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9021 = -56*h + 8181 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 19 - 8 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1789275421?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -17*o + 30. Let n be h(-4). Suppose -n*j - 2208 = -106*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -190, -180, -152, -100, -18, 100, 260?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.80531742 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 4*u - 8*u - 3*b, 3*b - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 14*m**2 - 183*m + 582. Give r(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 20 = 3*h, -1136*i = 1136*i - 2265*i + 4*h + 75 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76222?\nAnswer: 2, 23, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 89*z**2 + z + 88*z**2 - 7*z**4 - 179*z**2 + 2 - 4*z**3 as d*z + w*z**2 + t*z**4 + q*z**3 + v and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810095 and 110?\nAnswer: 1620190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -10*q**2 + q - 6. Let a(g) = -29*g**2 + 3*g - 17. Determine 6*a(u) - 17*b(u).\nAnswer: -4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4138 divided by 26\nAnswer: 2069\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 p when four letters picked without replacement from {y: 2, s: 5, b: 3, p: 7}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((260\/39)\/(-10))\/(2\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/5)*b**(-6)*(b\/b**(-11))\/b**(-3) assuming b is positive.\nAnswer: b**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 0.1, -1.1 in decreasing order.\nAnswer: 0.2, 0.1, 0, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {t: 8, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, -35, -79, -125, -173, -223, -275?\n\"Answer: -q**2 - 39*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085.769 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 131?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*k**5 + 10*k + 11*k + 9*k - 54*k wrt k.\nAnswer: 680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35260)\/3526*4\/10)\/(284\/6*-1)?\nAnswer: 6\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = 0, 0*j - 5*j = m - 114. Suppose -7*g + j + 5 = 0. Suppose 5*l - 7950 = g*k, -5*l - 2*k = -1614 - 6336. Round l to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 17, -4, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/7 - 420254*b\/7 - 840500\/7 = 0.\nAnswer: -210125, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267959193 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-12 - -8) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2672 - -2674. Let y(m) = m**3 - 4 + m - 3*m**2 + 2*m + 1. Give y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(6*d - 2*d + d)*(2 - 4 - 3)*(-6 + 3 + 1)*(-17*d - 2*d + d).\nAnswer: -1800*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + a - 330 = 0. Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13049, -28826, -44603?\nAnswer: -60380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5\/2, 0.6, 846, -43?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 136*r**2 + r - 2. Let j be b(1). Suppose 5*z - 21 = -q + 28, 5*q + 3*z - j = 0. Calculate the lowest common multiple of 33 and q.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75333.5 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506724.\nAnswer: 2, 29, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*y**3 + 504*y**2 - 505*y**2 - 75*y**3 + 46*y**3 to the form s*y + j*y**3 + l*y**2 + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/33 - (-513)\/1188. Let i(f) be the second derivative of -3\/2*f**2 + f**3 - z*f**4 - 8*f + 0. Determine x, given that i(x) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, u: 3, k: 4, f: 3}. What is prob of sequence fu?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-11 - (8 + -8) - (-6 - (-2 - 8)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5771802, 5771795, 5771776, 5771739, 5771678, 5771587, 5771460, 5771291?\nAnswer: 5771074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**5\/105 + 11*p**4\/42 - 8*p**3\/3 - 12*p**2 - 3*p. Factor i(o).\nAnswer: -4*(o - 7)*(o - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-32)\/14 + (-132)\/(-21). Let w be -1*(l + -4)*2\/(-4). Which is smaller: w or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 137. Let v be 3 - ((-6)\/12)\/((-1)\/n). Sort v, 8, -1 in increasing order.\nAnswer: -1, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6382*f**2*u**2 + 2138*f**2 - 2*f*u**2 - 9*f with respect to u.\nAnswer: -12764*f**2*u - 4*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195\/4 + -49. Suppose 3*f + 3 = -3*p - 6, 6 = -2*f + 4*p. Let c = 25.5 + -26. What is the nearest to 1 in g, c, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -7*t**3 + 2*t**2 - 26*t - 70. Let k(r) = 19*r**3 - 5*r**2 + 77*r + 212. Determine -4*k(s) - 11*u(s).\nAnswer: s**3 - 2*s**2 - 22*s - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366943, 733877, 1100811, 1467745, 1834679, 2201613?\nAnswer: 2568547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014 + 3041 - ((3 - (1 - -10)) + -1 + 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v. Let j(x) = v*x**2 - 4 + x**2 - 4 + 5*x. Let i be (-6)\/273*7 - (-152)\/(-26). Give j(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59156113.\nAnswer: 59156113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63122 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 30 = 5*u + 2*v, -v + 15 = 4*u. Suppose -y + o + 13 = y, -o + 22 = 3*y. Let z(n) = n - 7. Let l be z(y). Sort u, l, -1.\nAnswer: -1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12156*n**3 - 94*n**2 - 19685161?\nAnswer: -36468*n**2 - 188*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -200684917\/1102403408 - 11\/1501912. Let x = f - 2\/367. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + m - 1. Let j be i(-1). Let p(o) = -4*o**2 - 3*o**2 + 4*o**2 + 4*o**j - 4 + 6*o. Let d(r) = -3*r**2 + 2*r + 1. Let t be d(-1). Give p(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.053583+0.383\nAnswer: 0.436583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5255087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515 = 2*g + 3*g + 5*j, g + 3*j = -97. Let i = 248 + g. Suppose 572 = 4*p - 2*a, -p + 2*a + i = -1. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240978695*a*d**2 + a + 1962*d - 58 wrt d?\nAnswer: -481957390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -86.69 times -0.691\nAnswer: 59.90279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 - w - 25 + 2 in the form f + b*w and give f.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from {c: 1, q: 3, m: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-24) + 203\/56. Let t(d) = 0*d + 2 + 2*d - 4. Let a(v) = 2*v - 1. Let h(p) = 3*a(p) - 4*t(p). Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7641578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -328 + 4876 + 7394723*b - 7389751*b wrt b.\nAnswer: 4972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(6426\/216*(-9)\/189*6).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-11*17\/187).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - k. Suppose 1 = -4*u + z, -3*u - 5*z - 27 = -9. Let x(j) = -7*j**3 + 2*j**2 - 6*j + 3. Let p(n) = u*x(n) + 2*w(n). Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3504 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + 1 + (-2 - -9) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1685776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2. Let d(o) = 5 - 6 + 1 + 9*o + 52*o. What is f(d(z))?\nAnswer: -33489*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + ((5 - 5)\/(-5) - -6). Solve -9*d - x = -16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173801?\nAnswer: 151, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01316 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 13*j - 54. Give w(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 13. Let w = b - 25. Let f be 4 + w + (1 - 4). Sort -10, f, 0 in descending order.\nAnswer: f, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39240?\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3307 divided by 6?\nAnswer: 3307\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2900.367 + -2902. Let t = g - -1.54. Round t to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 11, 13, 15, 17, 19?\n\"Answer: 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43250456 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 3*f + 8 + 3*f + (2*f + f - f)*(2 - 4 + 0))*(-7*f**2 - 24*f**2 - 2*f**3 + 4*f**2) to the form q + h*f**2 + c*f**4 + k*f**3 + l*f and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.13 in 5, 1\/4, -5.75?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120481 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 minus 24158?\nAnswer: -24350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/24)\/(2\/(-150)). Let p = 21 + l. Let a(u) = 5*u**2 - 9*u - 4. What are the prime factors of a(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129\/(-129)*17\/(34\/184)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.19997514 - -3.2. Round b to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 - 13*f**2 + 26*f - 194. What is m(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62730733?\nAnswer: 13, 4825441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -514*s + 10299. Let o be d(20). Solve 46*h = o*h - 243 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*u - 56*u + 48*u - 188*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*r**3 + 19*r - 21*r - 33*r + 59*r**3 to v*r + s + c*r**3 + u*r**2 and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 14 - 41 = 0. Let x = n - -28. Suppose s + x = 0, -3*a - 3*s + 1 = a. Let y(o) = -11*o**2 - 1. Determine y(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1515*i - 24325. What is j(15)?\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15055113 (base 7) to base 8.\nAnswer: -5340237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/((-35)\/(-42)*207\/46)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 2*n - 3*n + 13. Let h = -29 - -23. What is the units digit of l(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u**2 + 316*u + 5169. Determine a(-17).\nAnswer: -2226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-20) + (-7896)\/(-20). Let z = 394 - r. Solve 2*y - f - 2*f + 8 = z, -4*y + 5*f = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 172 = -88 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -586, -1095, -1604, -2113, -2622?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64, 103, 142, 181?\n\"Answer: 39*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000572121 rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 17. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(204\/(-24) - -8)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156464248 + -3?\nAnswer: 156464245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/2*0)\/1. Suppose a - 69 = -5*c + 3*a, u = 3*c + 3*a - 33. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53461 - 11245?\nAnswer: -64726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2483*q - 1054*q - 4621*q + 490894 = 3722*q for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 1271016?\nAnswer: 1271007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*q - 61. What is the remainder when 67 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 86. Suppose r - 6*r = -v*u - 281, -4*r - u + 217 = 0. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138189103 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1925066, 1925073, 1925088, 1925117, 1925166?\nAnswer: 1925241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4*(-120)\/225. What is the nearest to q in 4, -0.7, 0.11, 1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4159 plus 127335?\nAnswer: 123176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -4 + -3 + 7. Suppose -3*g + 4*g = d. Solve -p = g*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*v - 18 = 0, 4*t + 4*v + 0*v = -12. Suppose -2*a - t*c - 2*c - 6 = 0, -5*c = a + 9. Let p = -0.93 + -0.07. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 - 45. Let b = t + -19. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2. Let v(h) = 2309*h**2. Determine d(v(c)).\nAnswer: -5331481*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (5 - -18 - (-10 - -4)) - (-26 + -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -23*b**4\/12 - 3*b. Let l(v) = 2*v. Calculate n(l(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 22*l = 6058. List the prime factors of l.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -61*t - 2 - 32*t + 25*t. Calculate the remainder when l(-1) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (-2 + sqrt(1300))**2 + -2 + (3 + sqrt(1300) + 1 + sqrt(1300))**2 + (sqrt(1300) - -2*sqrt(1300)*1) + -2 + 4.\nAnswer: 160*sqrt(13) + 6520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-5 - (4 + 1 + -5)) + -4 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*v - 3 + 270*v + 275*v.\nAnswer: 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 6*b + 3*b)*(-2*b**2 - 3*b**2 + 4*b**2) + b**3 + 0*b + 0*b - 34*b + 1 - 18*b**3 + 44*b**3 - 24*b**3.\nAnswer: 4*b**3 - 34*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1015 - -1222. What is the remainder when h is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -121 + 14291?\nAnswer: 14170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(125*h - 2 + 5 - 130*h) + (2 - 2 + 1)*(-1 + 1 - 2*h).\nAnswer: 8*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -341 + 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3550810 (base 10) to base 8\nAnswer: 15427132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54715 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39336*x. Let p(k) = 5*k**2. Give a(p(m)).\nAnswer: 196680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1955.9804 + 1957. What is f rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -18067, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c**3 + c**2 + 2*c. Give v(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-331*j + 2017*j - 619*j + 1698*j)*(4*j - j**2 - 4*j)*(-2 - 2 + 2).\nAnswer: 5530*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2383*n + 12893*n - 261*n.\nAnswer: 15015*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147588*w**5 - 11657*w + 3.\nAnswer: 2951760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i - 21. Give l(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**4\/8 + 7*w**3\/3 + w**2. List the prime factors of x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -40, -21, -2, 17?\n\"Answer: 19*o - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -5*-5*1*sqrt(2800) + 2*3*(-1 + sqrt(2800)) + -5)**2.\nAnswer: -16146150 + 111600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*a + 14, 5*i - 20 = -a + 3*a. Find the first derivative of 2 + 5*h**2 + h**i - 3*h**2 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25709 or 2\/7?\nAnswer: 25709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 76*t**2 - 78*t + 13. Let z be l(-39). Solve -z*p - 11*p = 120 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 305818768919?\nAnswer: 305818768919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 6*g - 27. Let s be q(-9). Suppose 3*h - 17695 = -s*r - 4*r, 0 = 5*h + 3*r - 29488. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 8, 27, 60, 113, 192, 303?\n\"Answer: s**3 - 2*s**2 + 10*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 13*g**2 - 12*g - 15. Let c be u(-12). Let b be (-10)\/c - (-1)\/3. Calculate the greatest common factor of 9 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + 32. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 225*a - 14727 - 14400. What is the remainder when 809 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1427553 is divided by 187?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224333243 (base 5) in base 10?\nAnswer: 2964823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 21*x + 31. What is the remainder when y(6) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) -4114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/14 + -169\/70. What is the second biggest value in -37, l, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13241 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/7 and -11\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5. Let a be z(0). Suppose -2 + a = o. What is the units digit of (-14)\/3*o\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*p**5 - 29*p**4 + 166*p**2 - 69363*p wrt p.\nAnswer: 100*p**3 - 348*p**2 + 332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445330451.\nAnswer: 445330451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 2*r - 4*r)*(2 - 3 + 3)*(5 - 16 - 6)*(0 + 4 - 6).\nAnswer: 136*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(425) + -1 - sqrt(425))*4 + 1 + -1 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.283 + -0.017. What is the second biggest value in -1\/5, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 8. Suppose -2*h + 2 = -3*h. Let u be h\/(-10) + (-116)\/(-20). Let l be p(u). Calculate the greatest common divisor of 32 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2771726 to the power of 1\/2, to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 111358.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**2 - v**2 + (-v**2 + 2 - 2)*(v + 0*v - 3*v) + 0*v**3 + 4*v**3 - v**3 + 5*v**3 + 6*v - 6*v)*(4*v**2 + v**2 - 3*v**2).\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 + 4\/8. Suppose 4*y - 13 = -3*t + 11, b = 2*y + 4*t. Suppose -151 = -22*k + 3. What is the smallest common multiple of k and y?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*j - 410 + 114, 5*v = 2*j - 220. Suppose -j = -4*u - 40. Solve -4*l = -u - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 62*c**3 + 63*c**2. Suppose 0 = 3*t - 0*t - 51. Let q(w) = 21*w**3 + 21*w**2. Let n(r) = t*q(r) - 6*i(r). Find the third derivative of n(v) wrt v.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3024 = -71*n. Calculate the remainder when 87 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -545, -537, -515, -473, -405?\n\"Answer: y**3 + y**2 - 2*y - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4137996 and -17\/20.\nAnswer: 20689980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0*w**4 + 0*w**5 - 1\/21*w**7 - 7\/30*w**6 - 10*w**3 + 12 + 0*w**2 + 2*w. What is the second derivative of x(t) wrt t?\nAnswer: -40*t**3 - 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dc - -556?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6937298*c = -6937294*c - 144 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - 202\/(-10) - 8)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 23*s + 93. Suppose -626*p + 627*p = -4. Let t be y(p). Solve -v = 3*x + 2 - t, x = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 - 22*f**2\/5 - 168*f\/5.\nAnswer: f*(f - 28)*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + -1 + -2)*-2 - (4 + (sqrt(117)*1*1 - sqrt(117) - sqrt(117))))**2.\nAnswer: -36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7711400 to the nearest one hundred thousand.\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 0*w**2 + w**2 - 7*w**2 - 28 + 28 - w**2 + 5*w**2 - 3*w**2 + (-3*w**2 + 3*w**2 + 2*w**2)*(0 + 0 - 2) - 6*w**2 + 2*w**2 + 3*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 67*r**2. Let i(k) = -120*k - 333. Calculate i(a(p)).\nAnswer: -8040*p**2 - 333","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/24)\/1*-8. Suppose -h = -y + 6, -l*y + 10 + 0 = 5*h. Suppose -212 = -4*z + y*u, 0*z = z - 4*u - 64. Is z greater than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 - 3*i**3 + 961*i - 961*i + i**4)*(2 + 3 - 6).\nAnswer: -i**5 - i**4 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 25*k**2 - 26*k + 44. Let o be y(24). Let r(g) = g - 2. Let p be r(6). Sort o, -30, p in descending order.\nAnswer: p, o, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2114.487ms to minutes.\nAnswer: 0.03524145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 779800601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 7, -1.\nAnswer: -1, 7, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24530 is divided by 423.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55243 (base 9) to base 10.\nAnswer: 36651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 + 74 - 98)*(-2*r - r + 5*r) + 8*r - r + 0*r.\nAnswer: -149*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3\/2 (c) -2\/19 (d) 1025633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -699 + 1076. Calculate the highest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90387 * 831.\nAnswer: -75111597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2*(-3)\/(-12)). Suppose -2*u + 48 = s*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {z: 1, n: 1, l: 1, b: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -11. Let p = k + 6. Factor 0*a**p + 2 - 2*a**2 + a + a**3 + 2*a**3 - 4*a**3.\nAnswer: -(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1750)\/3150*((52\/30)\/13)\/((-2)\/6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**7*r)\/r)\/r)**(-3\/4)\/(r**(-5))**(-37))**9 assuming r is positive.\nAnswer: r**(-3411\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -256, -61, 19, 36 in descending order.\nAnswer: 36, 19, -61, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - 2. Let s = v + 91. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/31 and -13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -7. Let h = -18 + c. Suppose -h*y = -0*y - 42. Solve -2*t = -y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -2*b + 4. Suppose 0 = -b*d + 1 + 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1723, -11, 38\/7.\nAnswer: -11, -0.1723, 38\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -7*d**3 - 2*d**2 - d + 4. Let c be x(-3). Suppose j - 81 = c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 1004*o - 66 = -1007*o, 0 = -5*s - 2*o + 107 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/(n*n**(1\/6)))**16*(n\/(n**1*n))\/n**0*n\/(n*n**(-2\/7)*n*n)*n\/(n\/((n*(((n\/n**(-1))\/n)\/n)\/n*n*n)\/n)) assuming n is positive.\nAnswer: n**(-92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y + 15*y - 630 = -39*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78428753*b**3 - 38649669*b wrt b?\nAnswer: -470572518*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -1\/12*i**4 + 0*i + 29\/20*i**5 - 1\/3*i**3 + 15*i**2 + 0. Does 19 divide z(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 194*l**2 + 2141*l - 131. Give b(107).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260.5nm in kilometers?\nAnswer: 0.0000000002605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**2 + 188096*z + 188092 = 0.\nAnswer: -47023, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.331 + 11.331. What is the closest to -0.1 in 1, -3\/5, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}